Answer:
A = $8,725.58
P (principal) = $8,500.00
I (interest) = $225.58
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.25/100
r = 0.0525 rates per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 8,500.00(1 + 0.0525/12)(12)(0.5)
A = 8,500.00(1 + 0.004375)(6)
A = $8,725.58
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $8,500.00 at a rate of 5.25% per year compounded 12 times per year over 0.5 years is $8,725.58.
A certificate of deposit often charges a penalty for withdrawing funds before the maturity date. If the penalty involves two months of interest, what would be tbe amount for early withdrawal on a CD paying 7 percent and valued at $18,000? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Penalty time = 2 months of interest = 2 x (7/100 x 18,000) = $2520.00
This serves as a deterrent to encourage individuals to leave their money in the CD until the maturity date.
Penalty = 2 months of interest = 2 x (Interest rate/100 x Value of CD)
= 2 x (7/100 x 18,000)
= $2520.00
A certificate of deposit (CD) is a financial product offered by banks and credit unions that allows an individual to deposit a certain amount of money for a fixed period of time, usually a few months to a few years. Most CDs will pay a higher rate of interest than a traditional savings account, but they come with certain restrictions. One of these restrictions is that if you withdraw funds from the CD before it reaches maturity, you will be charged a penalty time. This penalty usually involves two months of interest. Therefore, the amount of the penalty for early withdrawal on a CD with a value of $18,000 and paying 7 percent interest would be 2 x (7/100 x 18,000) = $2520.00. This serves as a deterrent to encourage individuals to leave their money in the CD until the maturity date.
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Sketch the graph of the function with a table of values. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) f(x, y) = y² + 4
The equation for the cross section exists x = z , -z.
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.
When two expressions in a variable (or variables) have the same value, the condition is said to be an equation. The equation's solution, or root, is the value of the variable for which the equation holds true. Even if the RHS and LHS are switched, an equation still holds true.
In the question it is given that
Equation of curve => x² = 49y² + z²
(a) Write an equation for the cross section at z = -7
Putting z = -7 in the equation,
⇒ x² = 49y² + (-7)²
⇒ x² - 49y² = 49
(b) Write an equation for the cross section at z = 0
Putting z=0
⇒ x² - 49y² = 0
(c) Write an equation for the cross section at z = 7
Putting z = 7 ,
⇒ x² - 49y² = 49
(d) Write an equation for the cross section at y = -7
Putting y = -7 in equation this time,
⇒ x² = 49( -7)² + z²
⇒ x² - z² = 2401
(e) Write an equation for the cross section at y = 0
Putting y = 0,
⇒ x² = z²
⇒ x = z , -z
Therefore, the equation for the cross section exists x = z , -z.
The compete question is:
Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) x2 = 49y2 + z2 = (Write an equation for the cross section at z = -7 using x and y.) (Write an equation for the cross section at z = 0 using x and y.) (Write an equation for the cross section at z = 7 using x and y.) (Write an equation for the cross section at y = -7 using x and z.) IIIIIIII (Write an equation for the cross section at y = 0 using x and z.) (Write an equation for the cross section at y = 7 using x and z.) (Write an equation for the cross section at x = -7 using y and z.) (Write an equation for the cross section at x = 7 using y and z.)
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Suppose the average distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls(a)Find the sample means.(b)Find the standard error.(c)) Compute P( x bar < 240).(ii) Draw a sketch to interpret your results.(iii) Is this usual? Explain.(d)Compute p(X< 240)(e)Find the 80thpercentile of the distribution of the average of the 49 fly balls.
(a) The sample mean of the 49 fly balls is 250 feet.
(b) The standard error of the 49 fly balls is 50/sqrt(49) = 7.14 feet
(c) P(x bar < 240) = P(Z < (240-250)/7.14) = P(Z < -1.40) = 0.0822
(ii) The sketch of the distribution of the average of the 49 fly balls is a normal curve with a mean of 250 feet and a standard deviation of 7.14 feet. The probability of getting a sample mean of less than 240 feet is 0.0822.
(iii) This is usual, as the probability of getting a sample mean of less than 240 feet is 0.0822, which is within the range of expected probabilities for a normal distribution.
(d) P(X< 240) = P(Z < (240-250)/50) = P(Z < -2) = 0.0228
(e) The 80th percentile of the distribution of the average of the 49 fly balls is equal to the mean plus (1.28 * standard deviation), which is equal to 250 + (1.28 * 7.14) = 266.6 feet.
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Given g (x)=5x − 3, find g( −2)
f(x)=5x−3f(x)=5x-3 g(x)=x2−3g(x)=x2-3
Set up the composite result function. g(f(x))g(f(x))Evaluate g(5x−3)g(5x-3) by substituting in the value of f(5x−3)=(5x−3)2−3g(5x-3)=(5x-3)2-3
Simplify each term: g(5x−3)=25x2−30x+9−3g(5x-3)=25x2-30x+9-3 Subtract 33 from g(5x−3)=25x2−30x+6
To find the value of the function g(x) = 5x - 3 at x = -2, substitute -2 for x. This gives g(-2) = -13.
Explanation:The function given is g(x) = 5x - 3. To find the value of this function when x = -2, you substitute -2 for x in the equation. This yields:
g(-2) = 5(-2) - 3
Which simplifies to:
g(-2) = -10 - 3
So, g(-2) = -13.
In summary, you substituted -2 for x in the function g(x)=5x−3 and then performed the arithmetic operations to find that g(−2) equals -13.
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Please help me solve this I have a D in math!!
Therefore, the explicit formula for f(n) is: f(n) = 10 * [tex]3^{(n - 1)}[/tex]
f(1)=10
What is explicit formula?An explicit formula for f(n), the number of members the creators have a goal of getting n weeks after the website is made available, can be determined by using the information provided that the number of members is tripled every week.
So, we can start with the initial number of members (10) and multiply it by 3 for each week.
Therefore, the explicit formula for f(n) is:
f(n) = 10 * [tex]3^{(n - 1)}[/tex]
A recursive formula for f(n) can be determined by using the information that the number of members is tripled every week, and the initial number of members is 10.
So, we can start with the initial number of members (f(1)=10) and use the previous value of f(n-1) to calculate the current value of f(n).
Therefore, the recursive formula for f(n) is:
f(n) = 3f(n-1) + 10
for n>1
f(1)=10
In this way, we can calculate the number of members for any week using the explicit formula or the recursive formula.
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7 The diagram shows a water tank. The tank is a hollow cylinder joined to a hollow hemisphere at the top.
The tank has a circular base.
-46 cm
90 cm
Diagram not
accurately drawn
Both the cylinder and the hemisphere have a diameter of 46 cm. The height of the tank is 90 cm.
Work out the volume of water which the tank holds when it is full. Give your answer, in cm³,
correct to 3 significant figures.
S
[Edexcel]
The volume of water which the tank holds when it is full is 136830 cm³.
What is volume?The amount of space a three-dimensional solid shape takes up is referred to as its volume. Though difficult to visualise in any shape, it can be compared to others. In comparison to an eraser placed inside of it, a compass box has a larger volume. The area of any two-dimensional shape can be calculated by splitting it into equal squares. When calculating the volume of solid shapes, equal cubical units will also be divided.
If the both have diameter of 46 cm then the height of hemisphere is
46/2 = 23 cm = radius
Height of the cylinder = 90 - 23
= 67
Volume of hemisphere + Volume of cylinder = volume of water
volume of water = (2/3)πr³ + πr²h
volume of water = (2/3)π(23)³ + π(23)²×67
= 136830 cm³
= 136.83 l
Thus, the volume of water which the tank holds when it is full is 136830 cm³.
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can someone please help me ASAP???
Answer:
C or 9,9
Step-by-step explanation:
M=(xM,yM)
M=(x1+x22,y1+y22)
M=(4+142,5+132)
M=(182,182)
M=(9,9)
If this helps please rate, like, and give brainliest!Pls help with this question, I will give brainliest, answer is not 278.63 or 375
The area of the trapezoid is 278.63 square units.
What is a trapezoid?An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
Given:
KFLM is a trapezoid.
Side KF = 10 units
KL = 26 units
The angle measure of KFM = 48°.
So, in ΔFPK,
Sin48° = FP / KF
Sin48° = FP / 10
FP= Sin48° x 10
FP = 0.7431 x 10
FP = 7.431
Now, the area of the trapezoid,
= 1/2 x sum of the parallel sides x distance between parallel sides,
= 1/2 (26 + 49) (7.431)
= 278.63 square units
Therefore, the area is 278.63 square units.
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the sum of all the integers from -√14 to √84 is
The sum of all the integers from -√14 to √84 is 39.
How to find the sum ?To find the sum of the integers that are between √14 to √84, you first need to find √14 and √84.
The value is √14 is :
= √14
= 3. 74
The value of √84 is :
= √84
= 9.17
Integers are whole numbers and the whole numbers between these figures are:
4, 5, 6, 7, 8, 9
The sum of these integers is:
= 4 + 5 + 6 + 7+ 8 + 9
= 39
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Using the distance formula, find the length of CD when; C(-3 , -4) D(1 , -2)
Answer:
Please see the answer in the picture:
A cardboard box has a square base, with each edge of the base having length x inches, as shown in the figure. The total length of all 12 edges of the box is 144 in.a) Express the volume V of the box as a function of x.b) What is the domain of V? (Use the fact that length and volume must be positive. Enter your answer using interval notation.)c) graphd) find the maximum
a) V = x^3 b) Domain of V = [0, ∞) c) See attached graph d) Maximum = 8 in., V = 512 in^3
a) V = x^3
b) Domain of V = [0, ∞)
c) See attached graph
d) Maximum = x = 8 in., V = x^3 = 512 in^3
The volume V of a cardboard box with a square base is a function of the length x of each edge of the base. To calculate the volume of the box, we can use the formula V = x^3. This means that for any given base length, we can find the volume by cubing the length. The domain of V is the set of all possible values of x, which must be positive. This means that the domain of V is [0, ∞). We can also graph the function V = x^3. The graph looks like a parabola that opens up, with the vertex at the origin. We can then find the maximum of the function, which will be when x = 8 in. At this value, the volume of the box will be V = 512 in^3
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Wolf Computer exchanged a machine with a book value of $40,000 and a fair value of $45,000 for a very similar machine. In addition, Wolf paid $6,000 as part of the exchange. Wolf should recognize:
Multiple Choice
A gain of $11,000.
A loss of $1,000.
A gain of $5,000.
No gain or loss.
Answer:
A gain of $5,000.
Step-by-step explanation:
Juanita practiced shooting 25 free throws at 17 of the attempts. basketball practice. She made 25 Write the fraction of attempts made as a decimal. Use models to help you solve.
the table shows th pricing for four diffrent types of gaspline which type costs least per gallon
Based on the table which shows the pricing for four different types of gasoline, a type that cost the least per gallon is: C. type C.
How to determine the gasoline that costs least per gallon?In order to determine the gasoline that costs least per gallon, we would determine the unit rate for the cost per gallon by using the following mathematical expression;
Unit rate = Cost of gasoline/number of gallons
Substituting the given parameters into the unit rate formula, we have the following;
Unit rate = $20.20/10
Unit rate = $2.02 per gallon.
For type B, we have the following unit rate:
Unit rate = $26.04/12
Unit rate = $2.17 per gallon.
For type C, we have the following unit rate:
Unit rate = $28.24 / 24
Unit rate = $2.01 per gallon.
For type D, we have the following unit rate:
Unit rate = $30.45 / 25
Unit rate = $2.03 per gallon.
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Susan bought three video games at one price
and 2 videos priced $2 below the others. The
total cost was $91.50. Find the prices of the
video games.
The price of first 3 video games is $57.3 and the other 2 videos games is $34.2 in the given arithmetic problem.
What is arithmetic problem?The study and use of numbers, mathematical relationships between numbers, and mathematical observations are all covered by the branch of mathematics known as arithmetic.
The core ideas in number theory, measurement, and computation are typically referred to as "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots). It hasn't always meant the same thing, though, in the mathematical community.
Susan bought total 5 games
Lets the higher price be x
and lower be y
3x + 2y = $91.50
and
x - y = $2
x = 2 + y
Putting the value of x in first formula
3(2 + y) + 2y = 91.50
6 + 3y + 2y = 91.50
3y + 2y = 91.50 - 6
5y = 85.5
y = 85.5/5
y = 17.1
2y = 34.2
Putting the value of y in x
x = 2 + (17.1)
x = 19.1
3x = 57.3
Thus, the price of first 3 video games is $57.3 and the other 2 videos games is $34.2.
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5
10 points
(5x+3)2
O 25x²+30x +9
O 25x²+9
O 16x² +24x+9
O 25x²-9
Answer:
[tex]\huge\boxed{\sf 25x\² + 30x + 9}[/tex]
Step-by-step explanation:
Given expression:= (5x + 3)²
We can also write it as:= (5x + 3)(5x + 3)
= 5x(5x + 3) + 3(5x + 3)
= 25x² + 15x + 15x + 9
= 25x² + 30x + 9[tex]\rule[225]{225}{2}[/tex]
Stefan sells Jin a bicycle for $116 and a helmet for $16. The total cost for Jin is 120% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
see below
Step-by-step explanation:
116+16=132 =120% * x
x=110
profit =132-110 =22
He made $12 by selling the bicycle helmet to Jin!
Step-by-step explanation:Let x be the original cost of the bicycle.
The cost of the helmet is $16, so the original cost of the bicycle and helmet is x + $16 algebraically.
Jin pays a total of $116 + $16 = $132 for the bicycle and helmet, which is 120% of what Stefan spent originally, so x + $16 = 1.2 * (x + $16)
Expanding the right-hand side gives x + $16 = 1.2x + 1.2 * $16.
Solving for x, we find that x = $104.
So, Stefan originally spent $104 for the bicycle and $16 for the helmet, for a total of $104 + $16 = $120.
Stefan sells the bicycle and helmet to Jin for $116 + $16 = $132, so he makes a profit of $132 - $120 = $12.
NO BOT ANSWERS OR WE WILL REPORT YOU. Can you see triangles in this baseball player’s posture? Many players improve their swings using the properties of geometry to evaluate their positions and postures. This is true in many other sports as well including soccer, football, and golf.
Find how players improve using the properties of geometry to evaluate their positions and postures. Choose at least three examples and explain how the concepts you learned about in this Unit relate to the examples you find.
In golf, players use the concept of angles to evaluate their club head position and the angle of attack on the ball. By understanding the principles of geometric angles, golfers can adjust their swing and improve the accuracy and distance of their shots.
How can players improve using the properties of geometry?In basketball, players use the concept of spatial awareness to evaluate their positioning on the court. By understanding geometric concepts such as lines, angles and planes, they can improve their ability to move without the ball and find open spaces on the court.
In soccer, players use the concept of geometric shapes to evaluate their positioning on the field. By understanding the principles of triangles and circles, soccer players can improve their ability to move and pass the ball effectively, as well as to anticipate the movements of the opposing team.
Overall, the concepts of geometry, such as angles, spatial awareness, and geometric shapes, are essential for athletes in many sports to evaluate their positions and postures and improve their performance.
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Two different whole numbers are greater then 1. When will their GCF be one of the numbers?
The greatest common factor (GCF) of two different whole numbers will be one of the numbers when they are relatively prime.
What is greatest common factor (GCF)The GCF also known as highest common factor can be defined as the highest or greatest factor that is common or present in between given two or more numbers.
The greatest common factor (GCF) of two different whole numbers will be one of the numbers when the two numbers are relatively prime, meaning they have no common factors other than one.
In conclusion, when their GCF is one, the only possible common factor is one, which means the numbers are relatively prime.
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An executive invests $23,000, some at 7% and the rest at 6% annual interest. If he receives an annual return of $1,480, how much is invested at each rate?
Answer:
The investments were made as follows:
$10,000 at 7% interest
$13,000 at 6% interest
Step-by-step explanation:
First remember that percentages are to be divided by 100 before any calculations can be made
So 7% = 0.07
8% = 0.08
Let x be the amount invested at 7% and y be the amount invested at 8%
We have:
x + y = 23000 (total amount is $23000)
Return on x = 0.07x
Return on y = 0.06y
Total return is
0.07x + 0.06y = 1480
The two equations are
x + y = 23000 [1]
0.07x + 0.06y = 1480 [2]
To solve for x and y,
multiply [1] x 0.07
=> 0.07x + 0.07y = 0.07(23000)
=> 0.07x + 0.07y = 1610 [3]
Since the coefficients of x are the same we can subtract [2] from [3] to eliminate the x term and solve for y
[3] - [2]:
(0.07x + 0.07y ) - (0.07x + 0.06y) = 1610 - 1480
0.07x + 0.07y - 0.07x - 0.06y = 130
Collecting like terms
0.07x-0.07x +0.07y - 0.06y = 130
0.01y = 130
y = 130/0.01 = 13000
x = 23000 - 13000 = 10000
Therefore the investments were made as follows:
$10,000 at 7% interest
$13,000 at 6% interest
[Revision] Change these fractions to decimal fractions: Exercise 9a a d 2.3 (as a commo 25 31813 b e e 12 25 2 3 b 0.55 C Change these numbers to common fractions in their lowest terms: a 0.2 d 0.264 0.006 f -1820010 C f 0.312 0.875
The required decimal value of fraction 2/5 is 0.4, and a fraction of decimal value is 0.55 is 11/20.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Given expression,
Fraction = 2 / 5
decimal value = 0.4
Given expression,
decimal value = 0.55
fraction value = 0.55 = 55/100
fraction = 11/20
Thus, the required decimal value of fraction 2/5 is 0.4, and a fraction of decimal value is 0.55 is 11/20.
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In order to gain popularity among students, a new pizza place near school plans to offer a special promotion. The cost of a large pizza (in dollars) at the pizza place as a function of time (measured in days since February 10th) may be described as⎧9, 0 ≤ t ≤ 3C(t)= ⎨9+t, 3 < t ≤ 8⎩20, 8 < t < 28(Assume t only takes whole number values.) Write an expression that describes the sentence "The cost of a large pizza is at least A dollars B days into the promotion," using function notation and mathematical symbols only.
An expression that narrates this sentence using function notation and mathematical symbol: C(B) ≥ A
According to the question,
The cost of the large pizza is at least A dollars B days into the promotion.
The statement that a pizza is at least A dollars B days into the promotion means that the cost of a large pizza B days into the promotion and denoted C(B) and it is greater than or equal to A dollars. Thus, an expression that reports this sentence using function notation and mathematical symbols is simply :
C(B) ≥ A
So, the expression is C(B) ≥ A .
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The television show Found has been successful for many years. That show recently had a share of 31, meaning that among the TV sets in use, 31% were tuned to Found. Assume that an advertiser wants to verify that 31% share value by conducting its own survey, and a pilot survey begins with 12 households have TV sets in use at the time of a Found broadcast.
Find the probability that none of the households are tuned to Found.P(none) =
Find the probability that at least one household is tuned to Found.P(at least one) =
Find the probability that at most one household is tuned to Found.P(at most one) =
if at most one household is tuned to Found, does it appear that the 31% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Found unusual?)
yes, it is wrong?
no, it is not wrong?
The probabilities are given as follows:
None: 0.0116 = 1.16%.At least one: 0.9884 = 98.84%.At most one: 0.0744 = 7.44%.The 31% share value is not wrong, as at most one household is not an unlikely outcome, as the probability is higher than 5%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The parameter values for this problem are given as follows:
n = 12, p = 0.31.
The probability of none is given as follows:
P(X = 0) = (0.69)^12 = 0.0116.
The probability of at least one is given as follows:
P(X >= 1) = 1 - 0.0116 = 0.9884.
The probability of at most one is given as follows:
P(X <= 1) = P(X = 0) + P(X = 1)
In which:
P(X = 1) = 12 x 0.31 x 0.69^11
P(X = 1) = 0.0628.
Hence:
P(X <= 1) = P(X = 0) + P(X = 1)
P(X <= 1) = 0.0116 + 0.0628
P(X <= 1) = 0.0744.
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HELP PLEASE WILL GIVE BRAINLIEST PLEASSE
The correct statement from the given options is Line: Solid, Shade: above.
Graphing inequalities:Graphing inequalities is quite similar to graphing linear equations but we need to focus on the inequalities symbol that is used in the given expression.
Step 1, we need to decide if we need to use a solid boundary line or a dotted boundary line. For this, we need to check the inequality symbol that is given in the expression.
If there is a greater than (>) or less than (<) symbol we will use a dotted boundary line.
If there is a greater than or equal to or less than or equal to symbol we will use a solid boundary line.
Step 2, In this we need to decide which half-plane should be shaded. For this, we need to determine which side of the line does the solutions will lie on.
Here we have
y ≥ -2x + 3
Here the symbol used is greater than or equal to hence, the boundary line should be a solid boundary line.
Now substitute (0, 0) in the given expression
0 ≥ -2(0) + 3
0 ≥ 3
Since '0' is less than 3, we need to shade the right side of the graph
Therefore,
The correct statement from the given options is Line: Solid, Shade: above.
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Answer:
D) Line: solid, Shade: above
Step-by-step explanation:
Given inequality:
[tex]y \geq-2x + 3[/tex]
When graphing inequalities:
< or > : dashed line≤ or ≥ : solid line< or ≤ : shade under the line> or ≥ : shade above the lineTherefore, for the given inequality:
The line is solid.There is shading above the line.HELP PLSSS URGENT
IMAGE ATTACHED
c From the graph, it appears that around 50% of seniors had used alcohol in 2015.
d.This gives us: A=-0.8(25)+63=50%. So, both the line graph and the formula estimate that around 50% of seniors had used alcohol in 2015.
What is line graph and determine it?A line graph is a type of chart that displays data as a series of points connected by linesIt is used to visualize trends over time or changes in valueLine graphs can have multiple data series represented by different colors or styles of linesThey are useful for comparing data and identifying patterns or fluctuations.Line graph is good for showing the trend of a continuous variable over time. A=-0.8n+63 can be changed to A=25 (because 2015 is 25 years after 1990) to get the proportion of seniors who had ever drank alcohol in 2015 using the formula. A=-0.8n+63 can be changed to A=25 (because 2015 is 25 years after 1990) to get the proportion of seniors who had ever drank alcohol in 2015 using the formula.To learn more about line graph refer:
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Find the slope of a line perpendicular to the line whose equation is
15x12y = 216. Fully simplify your answer.
The slope of the line perpendicular to the line whose equation is 15x - 12y = 216 is m{p} = -0.8.
What is the general equation of a straight line?
straight line equation: The general equation of a straight line is -
y = mx + c.
where,
{m}: slope of the line.
{c} : y-intercept
To find the slope of a line perpendicular to the line whose equation is 15x - 12y = 216, we need to find the negative reciprocal of the original line's slope.
To find the original line's slope, we can use the equation of the line in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
To convert the equation of the line from standard form to slope-intercept form, we can add 12y to both sides to get 12y = -15x + 216.
Then divide both sides by 12 to get y = -(15/12)x + 18.
So the slope of the original line is -(15/12).
The slope of a line perpendicular to the original line is the negative reciprocal of the original line's slope.
So the slope of the line perpendicular to 15x - 12y = 216 is -12/15 or -0.8
The slope of the line perpendicular to the given line is -
m = -12/15 = -0.8
Therefore, the slope of the line perpendicular to the line whose equation is 15x - 12y = 216 is m{p} = -0.8.
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How to write Y = 1/4 (x -4) + 2
Right 3 and down 4
Function notation and vertex form
Work please
The function y = 1/4(x - 4)² + 2, after a translation right 3 units and down 4 units, is given as follows:
y = 1/4(x - 7)² - 2.
What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.The parent function for this problem is given as follows:
y = 1/4(x - 4)² + 2
The changes with each translation are given as follows:
Right 3 units: x -> x - 3.Down 4 units -> f(x) = f(x) - 4.Hence the function is defined as follows:
y = 1/4(x - 3 - 4)² + 2 - 4
y = 1/4(x - 7)² - 2.
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22) In 1990, the average house in Emerald City cost $280,000 and in 2007 the same house cost
$365,000. Assuming a linear relationship, write an equation that will give the price of the house in
any year, and use this equation to predict the price of a similar house in the year 2020.
23) The population of Mexico in 1995 was 95.4 million and in 2010 it was 117.9 million. Assuming a
linear relationship, write an equation that will give the population of Mexico in any year, and use this
equation to predict the population of Mexico in the year 2025.
Answer:
8,00000
Step-by-step explanation:
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A cylindrical candle has a diameter of 3 inches and a height of 3 inches,What is surface area, in square inches of the candle?
Step-by-step explanation:
it'll be undefined and 2 for the surface area
x² -81 = 0 please help me
x² - 81 = 0 can be factored as (x-9)(x+9)=0. Therefore, the solutions are x=9 and x=-9.
