MATHEMATICS HIGH SCHOOL

Given the following formula, with A= 27 and t=3, solve for r.
А=P(1 + Tt)
Given the following formula, with A= 27 and t=3, solve - 1

Answers

Answer 1
Answer:

Answer:

Option C. r = (27 – P)/3P

Step-by-step explanation:

The following data were obtained from the question:

A = 27

t = 3

r =?

А = P(1 + rt)

With the above formula, we can obtain the value of r as follow

А = P(1 + rt)

27 = P(1 + 3r)

Divide both side by P

27/P = 1 + 3r

Subtract 1 from both side

27/P – 1 = 1 – 1 + 3r

27/P – 1 = 3r

(27 – P)/P = 3r

Divide both side by 3

r = (27 – P)/P ÷ 3

r = (27 – P)/P × 1/3

r = (27 – P)/3P

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Jeremy got a haircut and paid 15% as a tip.A. what percent of the cost did jeremy pay the barber, including the tip:

B. what is the cost of the haircut

C. calculate the total cost of the haircut, including the tip

D.If you only wanted to know the tip amount, how would you change the process you used in part c to calculate the total cost

Answers

Answer:

Sure! Here are the answers:

A. Jeremy paid 100% + 15% = **115%** of the cost to the barber, including the tip.

B. Let's say the cost of the haircut is x dollars. Then, Jeremy paid a tip of 15% of x which is 0.15x dollars. Therefore, the cost of the haircut is x + 0.15x = **1.15x** dollars.

C. The total cost of the haircut, including the tip is 115% of the cost of the haircut. So, if the cost of the haircut is x dollars, then the total cost is 115% of x which is 1.15x dollars.

D. If you only wanted to know the tip amount, you would calculate 15% of the cost of the haircut which is 0.15 times x or **0.15x** dollars.

I hope this helps!

Step-by-step explanation:

Naomi deposited money into a savings account that is compounded quarterly at an interest rate of 6%. she thinks this quarterly rate is the same as a monthly interest rate of 1.25%. Is Naomi right? If so, explain why and show how you got your answer. Is Naomi incorrect? if so, explain the mistake in her reasoning, give the correct monthly interest rate, and show how you got your answer.

Answers

answer is attached below

Find an equation of the line that has the given slope and contains the given point. m=7/3 (1,6)

Answers

The point-slope form:

y-y_1=m(x-x_1)

We have the point (1, 6) and the slope m = 7/3. Substitute:

y-6=(7)/(3)(x-1)      use distributive property

y-6=(7)/(3)x-(7)/(3)          add 6 to both sides

y=(7)/(3)x+(11)/(3)        multiply both sides by 3

3y=7x+11           subtract 7x from both sides

-7x+3y=11         change the signs

7x-3y=-11

Answer:

point-slope form: y-6=(7)/(3)(x-1)

slope-intercept form: y=(7)/(3)x+(11)/(3)

standard form: 7x-3y=-11

Fran drew a triangle with no congruent sides and 1 right angle.Which term accurately describes the triangle?
Mark all that apply.

A right
B isosceles
C scalene Which on is it
D acute

Answers

Answer:

A. and C.

right triangles have a right angle and scalene triangles don't have any congruent sides.

Isosceles means two sides are congruent.

Acute means all sides are 89 degrees or less.

Hope this helps

Step-by-step explanation:

Find the exact solution to the equation. Show your work. 4^(12-4x) = 256
(I know the answer is 2, the thing I don't know how to do correctly is showing my work)

Answers

Hello,

4^(12-4x)=256\n ==\ \textgreater \ \ 2^(24-8x)=2^8\n ==\ \textgreater \ \ 24-8x=8\n ==\ \textgreater \ 8x=16\n ==\ \textgreater \ x=2
Hi

4^(12-4x) =256
First we need to take log of both sides
log(4^-4x+12) = log (256)
(-4x + 12)(log(4)) = log(256)
so now we have
-4x + 12 = log(256)/log(4)
-4x + 12 = 4
-4x = 4 - 12
-4x = -8
x = -8/-4
x= 2

I hope that's help :)

What is the next odd number after 160 to which 9 would divide without a reminder

Answers

ok so one way is to list the multiplues of 9 close to thtat
first use a caltulator to find out how much more we need
160/9=17.777777
that is 17.7777 nine's
so round up
18
18 is even
odd times even=even
18 must be odd
18+1=19
9 times 19=171
the answer is 171
160 divided by 9 is 17.78. 9 goes into 162 but that is even. The next number 9 goes into is 171 and that is odd so the. answer is 171.
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