Answer:
2.5%
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = total interestP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = $60P = $800t = 3 yearsSubstituting given values into the formula and solving for r:
⇒ 60 = 800 · r · 3
⇒ 60 = 2400r
⇒ r = 0.025
Converting r to percentage:
0.025 × 100% = 2.5%
Answer:
2.5%
Step-by-step explanation:
Given:
Principle: $800Time: 3 yearsSimple interest: $60Formula:
Simple interest = (Principle × Rate × Time)/100
Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.
[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]
Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.
[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]
[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]
Simplify both sides of the equation:
[tex]\implies60 ={ 24\times \text{Rate}}[/tex]
Divide both sides by 24.
[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]
Simplify both sides as needed:
[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]
[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]
[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]
Thus, the rate of interest per annum is 2.5%.
Help me please I would really appreciate it
Adjacent angles in parallelograms are supplementary angles thus :
[tex]x + 130 = 180[/tex]
[tex]x = 180 - 130[/tex]
[tex]x = 50[/tex]
Which of the following is a rational number?
Answer:
B
Step-by-step explanation:
The square root of 100 is 10, and 10 is a rational number.
another question !!!
Answer:
All are complementary angles
Step-by-step explanation:
See attachment
What method would you choose to solve the equation 2x 2squared – 7 = 9? Explain why you chose this method.
Answer:
Step-by-step explanation:
(2x2squared-7)2squared=9 2squared
4x4squared-28x2squared+49=81
4x4squared-28x2squared=81-49
4x4squared-28x2squared=32
Alexa was out at a restaurant for dinner when the bill came. Her dinner came to $14. After adding in a tip, before tax, she paid $17.78. Find the percent tip.
The amount of the tip was computed first, and it was then used to find then percentage of the tip that was given at the restaurant
Computation on PercentageGiven Data
Cost of dinner = $14Total Cost with tip = $17.78Let us find the amount of the tip
= 17.78 -14
= $3.78
Let us find the percentage tip
= 3.78/14 * 100
= 0.27 * 100
= %27
Learn more about percentages here:
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2. What is the solution to the following equation? 2.2(4a + 5) = 1.8a - 3 A. a = -7 B. a = -2 C. a = 2 D. a = 7
Answer:B.a= -2
2.2(44a+5)=1.8a-3
8.8a+11=1.8a-3
8.8a-1.8a=-3-11
7a=-14
:a=-2
Step-by-step explanation:
A student's workout is graphed on the grid below. What’s the domain and range?
Answer:
Domain [0,50] and Range [0,100]
Step-by-step explanation:
The domain of a graph is the values that x takes on in the graph.
We see the x values for the graph go from 0 to 50.
Since both ends of the graph are closed circles we will use brackets:
D [0,50]
The range of a graph is the values that y takes on in the graph.
We see the y values for the graph go from 100 to 0.
R [0,100]
We can also write them in interval notation:
Domain: [tex]0\leq x\leq 50[/tex]
Range: [tex]0\leq y\leq 100[/tex]
find the area of a circke with a radius of 9 mm. round to the nearest tenth. use 3.15 or 22/7 for Pi.
Answer:
254.3 mm^2
Step-by-step explanation:
Area of a circle: A = π*r^2
π (pi) = 3.14
r (radius) = 9 mm
Substitute 3.14 for pi and 9 for radius:
A = π*r^2
A = 3.14*9^2
A = 3.14*81
A = 254.34 mm^2
Round to the nearest tenth:
254.34 ==> 254.3
Therefore, our final answer is 254.3 mm^2
Hope this helps!
Find the 14" term
7, 14, 28, 56,
Step-by-step explanation:
it seems we are dealing with multiplication, as the distances between the numbers get bigger and bigger.
and then I see
7 × 2 = 14
14 × 2 = 28
28 × 2 = 56
ok, so the sequence is created by always multiplying by 2.
a1 = 7
a2 = a1 × 2 = 7 × 2 = 14
a3 = a2 × 2 = a1 × 2 × 2 = 7 × 2 × 2 = 28
an = an-1 × 2 = a1 × 2^(n-1) = 7 × 2^(n-1)
a14 = 7 × 2¹³ = 7 × 8192 = 57,344
WRITE INEQUALITY AND SOLVE • A pizza cost $5 plus 25 cents for each topping.
If you have $10, what is the maximum number of
toppings you can get on the pizza?
(.25x)+5 ≤10 or .25x ≤5 i believe both should work.
20 is how many toppings....
you need four quarters to make a dollar and honestly i just counted with my fingers even though i could have just multiplied 5 x 4
sorry for missing the inequality part at first.........
Given p(x) = -4(x-15)[tex]p(x) = -4(x-15)x^{2} +2.[/tex]
A town has a population of 75,000 and is growing every year at a rate of 3.5%. What will the population be in 15 years?
The growth of the town is an illustration of exponential growth function
The population of the town in 15 years is 125651
How to determine the population in 15 years?The given parameters are:
Initial value, a = 75000Rate, r = 3.5%An exponential growth function is represented as:
y = a * (1 + r)^t
So, we have:
y =75000 * (1 + 3.5%)^15
Evaluate
y =125651
Hence, the population in 15 years is 125651
Read more about exponential functions at:
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why is math so much work their are like so many steps you need to remember and it's just to much on my brain.
Answer:
ik my head be harding so much
Step-by-step explanation:
like take it out
What is the value of the x-coordinate of point A?
According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.
–4, –3, 2, 3, 4
Which are actual roots of f(x)
Answer:
The answer is 3 and (-4).
Step-by-step explanation:
We are given an equation 2x² + 2x – 24.
Let us assume that the equation is equal to zero.
2x² + 2x – 24 = 0
Now, divide whole equation by 2 we get,
x² + x – 12 = 0
x² + 4x – 3x – 12 = 0
x(x + 4) – 3(x + 4) = 0
(x – 3) (x + 4) = 0
x = 3, -4
Thus, The actual roots of f(x) are 3 and (-4).
Answer:
-4 AND 3
Step-by-step explanation:
How was it determined that the base is 8 units long and the height is 3 units?
Answer:
Each one of the little squares is called a unit. they count in a line how many units are on the base. they did the same upward for the height
Step-by-step explanation:
pls help due today :( 26 points promise
if 15% of a class of 20 students were boys, how many boys and girls?
Answer:
15 percent of 20 is 3. so there are 3 boys and 17 girls in the class.
Step-by-step explanation:
solve for z: -42z^2 = 14z
[tex]\\ \rm\Rrightarrow -42z^2=14z[/tex]
[tex]\\ \rm\Rrightarrow 42z^2=-14z[/tex]
[tex]\\ \rm\Rrightarrow 3z^2=-z[/tex]
[tex]\\ \rm\Rrightarrow 3z=-1[/tex]
[tex]\\ \rm\Rrightarrow z=-1/3[/tex]
Another root is 0Answer:
[tex] - \frac{844}{29} z[/tex]
Step-by-step explanation:
I hope to help
Help please
10(5-n)-1=29
Hey there!
10(5 - n) - 1 = 29
10(5) + 10(-n) - 1 = 29
50 - 10n - 1 = 29
49 - 10n = 29
-10n + 49 = 29
ADD 49 to BOTH SIDES
-10n + 49 - 49 = 29 - 49
WORK IT OUT or SIMPLIFY IT!
NEW EQUATION: -10n = -20
DIVIDE -10 to BOTH SIDES
-10n/-10 = -20/-10
WORK IT OUT or SIMPLIFY IT AS WELL!
n = 2
Therefore, your answer is: n = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
n=2
Step-by-step explanation:
Step #1. Distribute the 10 to (5-n) which is 50-10n
Step #2. Simplify. 50-10n-1= -10n+50-1= -10n+49=29
Step #3. Subtract. -10n+49-49=29-49
Step #4. Simplify again. -10n = -20
Step #5. Divide. -10n/-10= -20/-10
Step #6. Simplify again. n=2
There you have it! N is equal to 2! please mark be as brainliest if you can.
Hope this helps!
Part 1: find measure of X
Part 2: find measures of PS and QR
Answer:
Step-by-step explanation:
28x+1=32x-1 solve for x
Answer:
x = 1/2
Step-by-step explanation:
28x + 1 = 32x - 1 <== subtract 28x from both sides
-28x -28x
1 = 4x - 1 <== add 1 to both sides
+ 1 + 1
2 = 4x <== divide both sides by 4 to isolate the variable
/4 /4
1/2 = x
Hope this helps!
[tex] \Large{\boxed{\sf x = \dfrac{1}{2} }} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 28x + 1 = 32x - 1 [/tex]
[tex] \\ [/tex]
Subtract 28x from each side :
[tex] \sf 28x + 1 - 28x = 32x - 1 - 28x \\ \\ \sf 1 = 4x - 1 [/tex]
[tex] \\ [/tex]
Add 1 to both sides:
[tex] \sf 1 + 1 = 4x \\ \\ \sf 2 = 4x [/tex]
[tex] \\ [/tex]
Divide both sides by 4:
[tex] \sf \dfrac{2}{4} = \dfrac{4x}{4} \\ \\ \\ \boxed{\boxed{\sf x = \dfrac{1}{2} }} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about equations here:
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A ball is thrown into the air from a height of 4 feet with an initial velocity of 63 ft/sec. The function that models this situation is h(t) = –16t2 + 63t + 4, where t is measured in seconds and h is the height in feet.
(a) What is the height of the ball after 2 seconds?
(b) What is the maximum height of the ball?
(c) When will the ball hit the ground?
(d) What domain makes sense for the function?
#1
h(2)-16(2)²+63(2)+4-16(4)+126+4-64+13066ft#2
Convert to Vertex form of parabola y=a(x-h)²+k
y=-16t²+63t+4We need calculator now
y=-16(t-1.969)²+66.02On comparing
Vertex=(h,k)=(1.969,66.02)As a is negative so parabola is opening downwards hence vertex is maximum
Max height=66.02ft#3
When h(t) is 0 ball hits the ground
-16t²+63t+4=0-16t²-t+64t+4=0On solving we get t=-1/16 or 4
Take it positive
t=4sAt 4s it reach the ground
#4
Domain is set of all t values (Time axis)
Here
ball starts from 0s and hits 0 again at 4s
So domain=[0,4]
Answer:
(a) 66 ft
(b) 66.015625 feet
(c) 4 s
(d) 0 ≤ t ≤ 4
Step-by-step explanation:
[tex]h(t)=-16t^2+63t+4[/tex]
Part (a)
[tex]t=2 \implies h(2)=-16(2)^2+63(2)+4=66[/tex]
Therefore, the height of the ball after 2 seconds is 66 feet
Part (b)
The maximum height will be the turning point of the parabola.
To find the turning point, differentiate the function:
[tex]\implies h'(t)=-32t+63[/tex]
Set it to zero:
[tex]\implies h'(t)=0[/tex]
[tex]\implies-32t+63=0[/tex]
Solve for t:
[tex]\implies 32t=63[/tex]
[tex]\implies t=\dfrac{63}{32}=1.96875[/tex]
Input found value of t into the function and solve for h:
[tex]\implies h(1.96875)=-16(1.96875)^2+63(1.96875)+4=66.015625[/tex]
Therefore, the maximum height of the ball is 66.015625 feet
Part (c)
The ball will hit the ground when h(t) = 0
[tex]\implies -16t^2+63t+4=0[/tex]
[tex]\implies 16t^2-63t-4=0[/tex]
[tex]\implies 16t^2+t-64t-4=0[/tex]
[tex]\implies t(16t+1)-4(16t+1)=0[/tex]
[tex]\implies (t-4)(16t+1)=0[/tex]
[tex]\implies t=4, t=-0.0625[/tex]
As time is positive, t = 4s only
Part (d)
As time is positive, and the ball hits the ground when t = 4 s, the domain should be restricted to: 0 ≤ t ≤ 4
Find the distance between the points
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
[tex]x1 = 2 \: \: y1 = 1 \\ x2 = 8 \: \: \: y = 9 \\ \\ \\ distance \: between \: two \: poit \: \\ = \sqrt{(x2 - x1) {}^{2} + (y2 - y1}) {}^{2} \\ \sqrt{(8 - 2) {}^{2} + (9 - 1) {}^{2} } \\ \sqrt{(6) {}^{2} + (8) {}^{2} } \\ \ = \sqrt{36 + 64} \\ = \sqrt{100 } \\ = 10[/tex]
In a class of 28 students, 11 play an instrument and 5 play a sport. There are 2
students who play an instrument and also play a sport. What is the probability that a
student chosen randomly from the class plays a sport or an instrument?
Answer:
50% or 0.5
Step-by-step explanation:
Based on the given conditions, formulate: (5+11-2)÷28
Calculate the sum or difference: 16-2/28
Calculate the sum or difference: 14/28
Cross out the common factor: 1/2
get the result: 50% or 0.5
Answer: 50% or 0.5
Factor x +3.0 - 10. Is this a special product? Justify your answer. If it is, which one is it?
.
Answer:(x+5)(x-2) I Dont know what a special product is sry
Step-by-step explanation:
Thirty percent of what number is 123?
The answer is 410
Hope this helps!!
Answer:
30% also means 30/100 in fraction form.
(Think of the root 'per' in percent to be per a 100.)
The keyword 'of' means multiplication.
'X' will be the unknown number aka the part that says ('-what number').
And 123 will represent the result.
Set up equation;
30/100 · x = 123Then solve for x;
30/100x = 1230.3x = 123÷ 0.3 ÷ 0.3x = 410So your answer is 410.
a cake has a radius of 14cm. what is the area of the cake
Step-by-step explanation:
radius = 14cm
area of circle = [tex]\pi[/tex]r^2
= 22/7 *(14)^2
= 616 cm^2
Answer:
196π cm² or 615.44 cm²
Step-by-step explanation:
Area of a circle: πr²π = 3.14r (radius) = 14 cmSubstitute:
A = πr²
A = 3.14*14²
A = 3.14*196
A = 615.44 cm²
Therefore, the area of the cake is 196π cm² or 615.44 cm²
Hope this helps!
5 1/3 - 2/3 ( this is fractions)
5 1/3 - 2/3
= (5 – 0) + (1/3-2/3)
= 5 + 1-2/3
= 5 +-1/3
= 4 2/3
in fraction:
= 4 2/3
in decimal:
= 4.6666666666667
Umang gained 20% by selling a watch for rs 2400 then find the cost price. if he gain 30% at what price should have he sold it.
Answer: Rs. 3120
Step-by-step explanation:
So...
rs. 2400 is the cost as of when it was overpriced by 20%
10%=240
20%= (240+240)= 480
Rs. 2400-480= Rs. 1920 which is the original price before the 20% was added making the price 2400 INR
Now we need to find what 30% is to find out the price if 30% was added to the original cost
so...
If 10%=240
30%=(240+240+240)= Rs. 720
Rs. 2400+720= Rs. 3120
Rs. 3120 is the price the watch was sold at when 30% was added onto the original price and the owner gained 30%.
