Jasmine borrowed $15,000 for 8 years and she paid $6,600 in interest. What was the interest rate for Jasmine's loan?

Mathematics

1 answer:

Virty [35]3 years ago

5 0

Answer:

D) 5.5%

Step-by-step explanation:

To find the interest rate, use the equation: I = prt

I = Interest = $6,600

p = principal = $15,000

r = rate = unknown

t = time = 8 years

Now plug the numbers into the equation.

6,600 = 15,000 * r * 8

6,600 = 120,000 * r

Now isolate the variable by dividing both sides of the equation by 120,000.

0.055 = r

Now change the rate to a percent by moving the decimal point 2 digits to the right.

5.5% = r OR r = 5.5%

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Sarah has 284 coins in a piggy bank with a total value of $22.78. Sarah has 173 pennies, 5 more dimes than nickels, the rest are

pickupchik [31]

Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)

a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1) N + D + Q = 111 coins

b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins

c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:

(1) N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
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The area of a circle can be determined by the given expression:

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