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VikaD [51]
3 years ago
12

A bank loaned out 16,000 ​$​, part of it at the rate of 6% per year and the rest at 14% per year. If the interest received in on

e year totaled 1500​$​, how much was loaned at 6%
Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:

This question requires a comparison between two different variables 6% and 16% values.  If we let x=$ loaned on 6% loans and y=$ loaned on 16% loans, then we can relate two equations.

0.06x + 0.16y = $1500  --> referencing the interest earned from each percentage loaned.

x + y = $16000  --> referencing the total amount of money loaned out.

Rearrange either equation and substitute for a value in the other equation or use elimination to determine each individual variable.

Step-by-step explanation:

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Given g(x)=|-3x+16|, if g(x)=18, find x.
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Answer:

x = - \frac{2}{3} , x = \frac{34}{3}

Step-by-step explanation:

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

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Solving

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or

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3x - 16 = 18 ( add 16 to both sides )

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As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

| - 3(- \frac{2}{3} ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True

| - 3(\frac{34}{3} ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True

Thus x = - \frac{2}{3} and x = \frac{34}{3} are the solutions

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