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Rzqust [24]
3 years ago
9

A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc

h in the lower-yielding account because it is less risky. His annual interest is $6600 dollars. How much did he invest at each rate?
Mathematics
1 answer:
Masteriza [31]3 years ago
8 0

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 2x.

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

6\%=\frac{6}{100}=0.06

10\%=\frac{10}{100}=0.10

Amount of interest earned from lower-yielding account: 2x(0.06)=0.12x.

Amount of interest earned from higher-yielding account: x(0.10)=0.10x.

0.12x+0.10x=6600

Let us solve for x.

0.22x=6600

\frac{0.22x}{0.22}=\frac{6600}{0.22}

x=30,000

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be 2x\Rightarrow 2(30,000)=60,000.

Therefore, the man invested $60,000 at 6%.

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Read 2 more answers
A first number plus twice a second number is 11. Twice the first number plus the second totals 16. Find the numbers.
satela [25.4K]
<h3><u>The first number, x, is equal to 7.</u></h3><h3><u>The second number, y, is equal to 2.</u></h3>

x + 2y = 11

2x + y = 16

We can subtract 2y from both sides of the first equation to get a value for x.

x = 11 - 2y

Because we have a value for x, we can plug it into the second equation.

2(11 - 2y) + y = 16

Distributive property.

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Combine like terms.

22 - 3y = 16

Subtract 22 from both sides.

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Divide both sides by -3.

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Now that we have a value for y, we can plug it into either equation to solve for x.

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x + 4 = 11

Subtract 4 from both sides.

x = 7



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