miricolelowery miricolelowery
  • 21-03-2020
  • Mathematics
contestada

fill in the blanks.
principal: $450
rate: ?
time: 3 years
interest earned: 67.50
new balance: ?

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 29-03-2020

Answer:

r=5%

New balance=$ 517.5

Step-by-step explanation:

We use the simple interest formula:

I=prt.

to determine the rate per annum of a principal of $450 that is invested for 3 years and earned an interest of $ 67.5

We substitute to get:

67.5=450×r×3

[tex]r = \frac{67.5}{3 \times 450} [/tex]

We simplify to get:

[tex]r = 0.05[/tex]

The rate of interest is 5%

The new balance is

Principal + Interest.

[tex] = 450 + 67.5[/tex]

[tex] = 517.5[/tex]

The new balance $517.5

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