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3 years ago

18h=252 what is it???

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

5 0

Answer:

h=14

Step-by-step explanation:

18h=252

18h/18=252/18

h=14

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Montoya Construction needs to borrow $375,000 to build a road to install utilities in a small subdivision. It borrows the funds

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Step 1

Given;

$\begin{gathered} \text{Principal(p)= \$375000} \\ \text{First rate = 8\%=}\frac{8}{100}=0.08 \\ \text{Second rate = 20\%= }\frac{20}{100}=0.2 \\ \text{Time}=\frac{90}{365}=\frac{18}{73} \end{gathered}$

Required; To find the difference in interest between the two periods.

Step 2

State the formula for simple interest

$A=P(1+rt)$

Step 3

Find the interest when the rate is 8%

$\begin{gathered} A=375000(1+(0.08\times\frac{18}{73}) \\ A=375000(1+\frac{36}{1825}) \\ A=\text{\$}382397.26 \end{gathered}$

Therefore the interest is given as;

$A-P=382397.26-375000=\text{\$}7397.26$

Step 4

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$\begin{gathered} A=375000(1+(0.2\times\frac{18}{73}) \\ A=\text{\$}393493.15 \end{gathered}$

The interest is given as;

$A-p=393493.15-375000=\text{\$}18493.15\text{ }$

Step 5

Find the difference in interest between the two rates.

$\text{\$}18493.15-\text{\$}7397.26=\text{\$}11095.89$

Hence, the difference in interest between the two rates = $11095.89

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Answer:

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