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Orlov [11]
2 years ago
11

A total of $5000 is invested: part at 7% and the remainder at 12%. How much is invested at each rate if the annual interest is $

400?
Mathematics
1 answer:
atroni [7]2 years ago
3 0

The amount invested in the account that yields 7% interest is $4000.

The amount invested in the account that yields 12% interest is $1000.

<h3>What are the linear equations that represent the question?</h3>

a + b = 5000 equation 1

0.07a + 0.12b = 400 equation 2

Where:

a = amount invested in the account that yields 7% interest.

b =  amount invested in the account that yields 12% interest.

<h3>How much is invested at each rate?</h3>

Multiply equation 1 by 0.07

0.07a + 0.07b = 350 equation 3

Subtract equation 3 from equation 2

0.05b = 50

b = 50 / 0.05

b = 1000

Subtract 1000 from 5000: 5000 - 1000 = 4000

To learn more about linear functions, please check: brainly.com/question/26434260

#SPJ1

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