Mathematics: Suppose some municipal bonds pay 6.2% simple interest. how much should you invest in the bonds if you want them to be worth $5000 in 10 years?

Suppose some municipal bonds pay 6.2% simple

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kay20081

05.01.2022

$\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&5000\\ P=\textit{original amount deposited}\\ r=rate\to 6.2\%\to \frac{6.2}{100}\dotfill &0.062\\ t=years\dotfill &10 \end{cases} \\\\\\ 5000=P[1+(0.062)(10)]\implies 5000=P(1.62) \\\\\\ \cfrac{5000}{1.62}=P\implies 3086.42\approx P$

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Ответ:

Pizzapegasus1

25.04.2021

Mathematics

A.) 3

Step-by-step explanation:

In the equation g(x) = f(k·x), the factor k is a horizontal compression factor. Here the graph of g is the graph of f compressed by a factor of 3.

The point (3, 2) on the graph of f(x) becomes the point (1, 2) on the graph of g(x). The point (1, 2) is a factor of 3 closer to the y-axis than the point (3, 2).

It may be easier to think of k as the reciprocal of the horizontal expansion (dilation) factor. The function g is horizontally dilated by a factor of 1/3 from function f, so k = 1/(1/3) = 3.

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Suppose some municipal bonds pay 6.2% simple interest. how much should you invest in the bonds if you want them to be worth $5000 in 10 years?

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