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makvit [3.9K]
3 years ago
15

Jess deposited $5,000 into an account that earns simple interest. After 9 years, Jess had earned $3,150 in interest. What was th

e interest rate of the account?
Mathematics
2 answers:
sergeinik [125]3 years ago
7 0

Answer:

The interest rate of Jess's account was 7%

Step-by-step explanation:

____________________________________

A = P × (1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

___________________________________

A=8,150

P=5,000

8,150 = 5,000 × (1 + r × 9)

8,150÷5,000 = 1 + 9r

1.63 = 1 + 9r

1.63 - 1 = 9r

0.63 = 9r

r = 063÷9

r = 0.07 = 7%

musickatia [10]3 years ago
4 0

Answer:

The interest rate of Jess's account was 7%

Step-by-step explanation:

A = P * (1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

Replacing with the values we know:

A =  P * (1 + rt)

8,150 = 5,000 * (1 + r * 9)

8,150/5,000 = 1 + 9r

1.63 = 1 + 9r

1.63 - 1 = 9r

0.63 = 9r

r = 063/9

r = 0.07 = 7%

The interest rate of Jess's account was 7%

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The area of a rectangle is 294.4 sq.cm. The length of one side is 16cm. What is the perimeter?
Shkiper50 [21]

the perimeter is 68.8cm

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Answer:

-45x^{2}-26x+30

Step-by-step explanation:

So first you let's divide this equation into three parts.

Part one -9x(5x+4)

  1. Step one: you have to distribute the -9x to the numbers in the parentheses. That would leave us with a -9x*5x = -45x^{2} and -9x*4 = -36x
  2. Step two: Put the answers together. That would leave us with -45x^{2}-36x.

Part two 10(x+3)

  1. Step one: you have to distribute the 10 to the numbers in the parentheses. That would leave us with a 10*x = 10x and 10*3 = 30
  2. Step two: Put the answers together. That would leave us with 10x+30

Part three solve

  1. Step one: combine and put together what you have solved for. That would leave us with a -45x^{2}-36x+ 10x+30
  2. Step two: combine like terms. The like terms here are -36x and 10x. When you combine them you would get -26x.
  3. Step three: Write the equation in standard form. Therefore the answer is -45x^{2}-26x+30.

Let me know if anything is confusing!

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