Answer:
87.92 in²
Step-by-step explanation:
pi × (R² - r²) = area
Where R is the radius of the outer circle and r of the inner circle.
Since C = 2pi×r
37.68 = 2×3.14×r
r = 6 in
R = 6 + 2 = 8 in
Therefore,
pi × (R² - r²) = area
Area = 3.14 (8² - 6²)
= 87.92 in²
Answer:
$
After 3 years
Step-by-step explanation:
Use I P R T it's a method for simple interest
I = Interest
P = Amount of money
R = Percent in decimal
T = Time in years
Answer:
I =
(we dont know yet)
P = $
R =
% 
T =

Steps:
1. Set up your numbers with the method I P R T.
2. $65 will be your amount of money.
3. 7.5% needs to be converted because you will need to multiply later on in the problem. Simply move 2 places to the left to convert your percent into a decimal.
4. They want to know the total amount of money in his account at the end of 3 years. So 3 years will be your time in years.
5. After setting up your problem you need to multiply your Amount of money x percent as decimal x time in years.

6. After you find your interest you need to add your amount of money + interest.
Money after 3 years
hope this helped
Answer:
<em>Number of nickels = 6</em>
<em>Number of dimes = 14</em>
<em>Number of quarters = 23</em>
<em></em>
Step-by-step explanation:
Total number of coins = 43
Let number of nickels = n
Let number of dimes = d
Let number of quarters = q

Money in n nickels = 
Money in d dimes = 
Money in q quarters = 
Total money = $7.45

The sum of the numbers of nickels and dimes is 3 less than the number of quarters.
i.e.

Let us put the value in (1):

Putting the value of q in (1) and (2):
n+d = 20 .... (3)

(4) - (3):
d = 14
Now, from (3):
n = 6
<em>Number of nickels = 6</em>
<em>Number of dimes = 14</em>
<em>Number of quarters = 23</em>
8x-32=8(x-4)
the lower common denominator is 8(x-4)², or 8(x-4)(x-4)