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Igoryamba
2 years ago
6

Estimate a 15% tip on a dinner bill of $87.54 by first rounding the bill amount to the nearest ten dollars.

Mathematics
1 answer:
zimovet [89]2 years ago
5 0

Answer:13.50

Step-by-step explanation:

87.54 rounded to the nearest ten dollars is 90.00

90.00x.15=13.50

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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
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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,

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P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

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

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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%.

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

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2 years ago
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The answer is:
 
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