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Alexeev081
8 days ago
7

Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.

Mathematics
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A square lot has sides of 39.875 m<br> Which is the best estimate for the perimeter of the lot?
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Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the corre
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To find the solution, we will utilize the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A represents the total amount after t years
tex]P[/tex] indicates the original investment 
r signifies the interest rate expressed in decimal
n shows the frequency of compounding per year
t indicates the duration in years

According to our problem, the initial investment is <span>$30,000 with a duration of ten years, thus </span>P=30000 and t=10. Interest is compounded annually, so n=1. To convert the percentage interest rate into decimal, we divide it by 100%
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Now, we can insert these values into our formula:
A=P(1+ \frac{r}{n} )^{nt}
A=30000(1+ \frac{0.079}{1} )^{(1)(10)}
A=3000(1+0.079)^{10}
Substituting A with P_{10}:
P_{10}=3000(1+0.079)^{10}

Consequently, we find that the correct answer is D. P_{10}=3000(1+0.079)^{10}

Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation: 
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P_{10}=30000(1.079)^{10}
P_{10}=64170.54

Thus, we conclude that Yolanda will end up with $64,170.54 in her account after a decade of earning <span>at a compound interest rate of 7.9% yearly.</span>
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