12.
If $4204 is invested at 4% per year simple interest for 7 years, at what simple interest rate r would it need to be
invested for 5 years to earn the same amount of interest? Express r as a percentage correct to 2 decimal places.
Answers
The answer to this question is in the picture which is 0.56% to 2dp
Answer:
5.60%
Step-by-step explanation:
We can use the formula for simple interest to solve this problem. The formula is:
[tex]\boxed{\bold{SI =\frac{ P * T* R}{100}}}[/tex]
Where:
SI is the simple interest earnedP is the principal amount investedR is the interest rateT is the time period in yearsIf $4204 is invested at 4% per year simple interest for 7 years, the interest earned will be:
[tex]SI = \frac{4204 *4* 7}{100} = 1177.12[/tex]
In order to earn the same amount of interest of $1177.12, the investment of $4204 must be invested for 5 years at a simple interest rate of:
[tex]1177.12=\frac{4204*5*r}{100}[/tex]
Doing Criss cross multiplication
[tex]r=\frac{1177.12*100}{4204*5}[/tex]
r=5.60 %
To two decimal places, the interest rate r is 5.60 %.
Related Questions
Which inequality is correct?
0.22<0.18
0.22>0.22
0.41<0.08
0.41>0.02
Answers
Answer:
Correct answer is the first one I think. hope this helps
Can someone please answer this question for me :) i would really appreciate it and would also mark brainliest
Answers
Answer:
x=0
Step-by-step explanation:
add 3 to both sides
subtract 4 from both sides
[tex]\sqrt{x} +4-3=1\\\sqrt{x} +4=4\\\sqrt{x} =0[/tex]
Answer: x=12
√x+4 - 3 = 1
(√x+4 - 3) + 3 = 1 + 3
√x + 4 = 4
(√x+4)^2 = 4^2
√(x+4)^2 = 16
x+ 4 = 16 (cancels out the square root)
(x + 4) + (-4) = 16 + (-4)
x + 4 - 4 = 16 - 4
And then just solve it out
x = 12
Hope this helped in some way
ans this please i have alot this to do help me
Answers
Answer:
3.1
Step-by-step explanation:
ok so, 3.14 rounded to the nearest tenth is 3.1
also, keep this in mind
if it is 5 and up it will be able to round up but if it is 4 round it down
If z = 3cis30°, z3 in rectangular form is:
Answers
[tex]\qquad \textit{power of two complex numbers} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ z=3[\cos(30^o)+i\sin(30^o)] \\\\\\ z^3=3^3[\cos(3[30^o])+i\sin(3[30^o])]\implies z^3=27[\cos(90^o)+i\sin(90^o)] \\\\\\ z^3=27(0~~ + ~~i1)\implies z^3=0+27i[/tex]
so that gives us the point (0 , 27) on the imaginary plane, and we also know the line goes through the origin, since it'd be a line in component form, and to get the equation of a line we only need two points off of it, let's use those two.
[tex]\stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{27}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{27}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{0}}}\implies \cfrac{27}{0}\implies und efined[/tex]
a line with an undefined slope is a vertical line, namely in this case x = 27.
Eugene works a total of 45 hours per week at two jobs. If his total pay is $ 386.25 (before taxes), and Eugene worked 15 hours at Mudzoff Car Wash and 30 hours at Stuck-in-the-Mud offroad trails, and his hourly rate at Stuck-in-the-Mud is $ 0.25 less than his hourly rate at Mudzoff, find Eugene's pay per hour at each job.
Answers
Solve for the value of m. M+4 7/8 =9
Answers
Answer:
M=33/8
Step-by-step explanation:
Answer:
M+4 7/8 =9
Step-by-step explanation:
June sells furniture. Last month she sold $1.700 in total sales and earned $85 for
her commission. What percent of her sales does she receive as commission?
(Show your work)
Answers
Answer:
5%
Step-by-step explanation:
1700 * x = 85
x = 85/1700 = .05 or 5 %
22 mice were introduced to a new environment. Their population triples every year. Using m(t) as the function name and t for time, write this equation.
Answers
Answer:
when were they introduced?
Step-by-step explanation:
Simplify the following expression. 23 + 13 + 63 × 63 ÷ 6 =
Answers
Answer:
Here is the answer
Step-by-step explanation:
the graph of a line gets _____
as the value of the slope gets bigger.
A. steeper
B. longer
C. less steep
D. shorter
Answers
Answer: Less Steep
Step-by-step explanation: the graph of a line gets less steep as the value of the slope gets bigger.
The graph of the line gets steeper as the value of the slope gets bigger. Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If the value of the slope is bigger then the line will be steeper.
Thus, the correct option is A.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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What is the radius of a circle with a Circumference of 64 pi yards?
Answers
solve this system of equations 2x+4y=-48
Answers
Answer:
x=-24-2y
y=-12-x/2
Step-by-step explanation:
To solve for x move everything to one side, 2x=-48-4y, then you can divide by 2 to just get x, x=-24-2y.
To solve for y move everything to one side, 4y=-48-2x, then you can divide by 4 to just get y, y=-12-x/2.
Simplify the expression shown. [(25 × 16) + (75 × 16)] ÷ (3 + (-3) – 10)
Answers
Answer:
-160 or in alternative form -1.6x10[tex]{2}[/tex]
Step-by-step explanation
1600 divide -10 equals to -160
80 people enter a single-elimination chess tournament. (If you lose one game, you're out.) Assuming no ties occur, what is the number of games required to determine the tournament champion?
Answers
Answer:
Forty games
Step-by-step explanation:
80 ÷ 2 = 40
40 games are required
A spinner is divided into 12 identical sectors and labeled 1 through 12.
How many spins are expected for a multiple of 5 to be spun 8 times?
Select from the drop-down menu to correctly complete the sentence.
The spinner is expected to have to spin approximately
times for a multiple of 5 has been spun 8 times.
Answers
Answer: The awnser is 48
Step-by-step explanation: I took the quiz
6.03 Quiz: Use Theoretical Probability to Predict
It is expected to take 48 spins for a multiple of 5 to be spun 8 times.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Since there are 12 sectors, the probability of landing on a multiple of 5 is 2/12 or 1/6.
The probability of not landing on a multiple of 5 is 5/6.
We can use the geometric distribution formula to find the expected number of spins:
E(X) = 1/p, where p is the probability of success.
As per the question, the probability of success is 1/6.
Therefore, E(X) = 1/(1/6) = 6.
We need to spin a multiple of 5 8 times, so we multiply the expected number of spins by 8:
6 x 8 = 48.
Therefore, we can expect to spin a multiple of 5-8 times after 48 spins.
Learn more about the probability here:
brainly.com/question/11234923
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Hechen paro es para el parcial
Answers
1.
(x+7)²
using (a+b)²=a²+b²+2ab
= x²+7²+ ( 2×x×7 )
= x²+49+14x
THEREFORE, x²+14x+49 is the answer
2.
4x²-1 = 0
= (2x)²-1² = 0
using a²-b² = (a+b) (a-b)
THEREFORE, (2x+1) (2x-1) is the answer
HOPE IT HELPS :)
[80 POINTS]
A candlemaker uses 240 cubic centimeters of wax to create a scented candle using a cylindrical mold. He decides to offer a larger-sized candle, which uses twice as much wax as the smaller-sized candle.
Which mold can he use to make the larger-sized candle?
A. a cylinder with a height that is the same as the height of the original mold, and a radius that is double the radius of the original mold
B. a cylinder with a height that is double the height of the original mold, and a radius that is one-half the radius of the original mold
C. a cylinder with a height and a radius that are each double the length of those of the original mold
D. a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold
Answers
Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold
Step-by-step explanation:
Answer:
Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold.
Step-by-step explanation:
• You spend 44 more minutes
organizing your bookshelf than
you do sweeping the kitchen
floor. You spend 56 minutes
organizing your bookshelf.
How much time do you spend
sweeping the kitchen floor?
Answers
56-44=12
A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selected from the bag and kept. You then draw a second ball and keep it also. What is the probability of selecting two blue balls
Answers
Answer:
[tex]someone \: needs \: to \: g et \: laid \\ [/tex]
BRAINLIEST FOR RIGHT ANSWER!
Find the surface area of this rectangular prism. Be sure to include the CORRECT UNIT in your answer.
Answers
Answer:
188 m²
Step-by-step explanation:
The formula to find the surface area of a rectangular prism/cuboid: [tex]A = 2(lw + lh + wh)[/tex], where [tex]l[/tex] is the length, [tex]w[/tex] is the width and [tex]h[/tex] is the height.
1) Plug the values into the formula.
[tex]A = 2((7(6)) + ((7)(4)) + ((4)(6)))[/tex]
2) Solve it.
[tex]A = 2(42 + 28 + 24)\\A = 2(94)[/tex]
A = 188 m²
An ice cream store sells 2 drinks, in 4 sizes, and 6 flavors. In how many ways can a customer order a drink?
There are
ways that the customer can order a drink.
Answers
Answer:
Step-by-step explanation:
Drinks:
number of drinks - 2Number of sizes - 4Number of choices - 4 * 2 = 8Answer: 8
The graph below represents an employee's earnings based on units sold. What can be interpreted from the slope of this graph?
A.
The employee earns an additional $100 for every one unit sold.
B.
The employee earns an additional $100 for every ten units sold.
C.
The employee earns an additional $1,000 for every one unit sold.
D.
The employee earns an additional $31,000 for every ten units sold.
Answers
Answer:
A
Step-by-step explanation:
From inspection of the graph, we can see that every time the x-value increases by 10, the y-value increases by 1000.
So, the employee earns an additional $1000 for every 10 units sold.
To calculate how much the employee earns for every 1 unit sold, divide $1000 by 10:
1000 ÷ 10 = 100
Therefore, the employee earns an additional $100 for every one unit sold.
Proof
This can be proved by calculating the slope (gradient) of the graph:
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex]\sf (x_1,y_1)[/tex] and [tex]\sf (x_2,y_2)[/tex] are two points on the line
When picking the two points, remember that the y-values are in thousands of dollars.
Two points on the line:
(0, 30000) and (20, 32000)
Substituting these into the formula:
[tex]\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100[/tex]
Therefore, the employee earns an additional $100 for every one unit sold.
The point J(5,3) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, J'
Answers
Answer;
J(5,3) = x,y
rotated on 90;
J'(-3,5)
Therefore, the coordinates of the resulting point is J'(-3,5).
Ken drinks 730 bottles of soda a year.
How much does he drink a day.
A 12
B 4
C 2
D 5
Answers
i divided 730 and 365
In simplest form 1 3/10 x 18=
Answers
207/5 is the simplest form of [tex]1\frac{3}{10}[/tex] ×18
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the simplest form of [tex]1\frac{3}{10}[/tex] ×18
Convert the mixed fraction to improper fraction and simplify.
[tex]1\frac{3}{10}[/tex]=23/10
Now multiply Twenty three divided by ten with eighteen.
23/10×18
Multiply 23 and 18
23×18=414
Now divide 414 by 10
414/10
Both numerator and denominator can be divided by 2 so
207/5
Hence 207/5 is the simplest form of [tex]1\frac{3}{10}[/tex] ×18
To learn more on Number system click:
https://brainly.com/question/22046046
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*50 POINTS* pls help very urgent! Look at the pic then answer question.
Answers
Step-by-step explanation:
1. feet/min
2. square feet/min
3. cubic feet/min
4. square feet/min
A)
rate of walking = distance/timeHence rate of walking should be measured in feet/minute
B)
rate of painting a wall can be determined by measuring its areaHence rate of painting should be in sqaure feet per minute
C)
rate of filling a bucket should be measured by finding its volumeHence rate of paining is measured in cubic feet per minute
D)
rate of mopping the kitchen floor is same as painting a wallHence rate of mopping should be in sqaure feet per minute
If 12% of a number is 30, find 4% of that number.
Answers
Answer:
12 of 40=30 so if you do 4 percent of 40 its 1.4
Step-by-step explanation:
Helpp. Mee\\\..........
Answers
Answer:
may not be exact
1- surveying every fifth student who walks in
2-randomly selected people of both genders
3-asking 8 random students from each second period
4-asking 4 girls and 4 boys from each~~
5-randomly choosing a page and counting the words
Step-by-step explanation:
1-explanation; the first one is skewed two 7th graders, the third one is skewed to volleyball players, the fourth one is skewed to eight graders
You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much
will be left after 120 years?
grams
Answers
The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years, is 540 grams.
What is half-life?This can be defined as the time taken for half the amount of a radioactive substance to decay.
To calculate the amount of cesium left after 120 years, we use the formua below.
Formula:
R' = R/([tex]2^{T/t}[/tex])............. Equation 1Where:
R = Original amount of CesiumR' = New amount of cesiumT = Total timet = Half-lifeFrom the question,
Given:
R = 8640T = 120 yearst = 30 yearsSubstitute these values into equation 1
R' = 8640/([tex]2^{120/30}[/tex])R' = 8640/[tex]2^{4}[/tex]R' = 8640/16R' = 540 grams.Hence, The mass of cesium left afer 120 years is 540 grams.
Learn more about half-life here: https://brainly.com/question/25750315
question: find the area of the following figure.
Answers
Answer:
Area=length×width
11.4×11.4=129.96
so the area is 129.96
Hope this helps!
length= 11.4 in
to find:the area of the given figure.
solution:[tex]a = l \times l \: or \: l {}^{2} [/tex]
[tex]a = {11.4}^{2} [/tex]
[tex]a = 129.96 \: {in}^{2} [/tex]
therefore, the area of the square is 129.96 square inches.
