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2 years ago

C 5 in 4 in What is the length of the hypotenuse?

Mathematics

1 answer:

vlabodo [156]2 years ago

3 0

Answer:

${c}^{2} = {5}^{2} + {4}^{2} \\ {c}^{2} = 25 + 16 \\ {c}^{2} = 41$

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Classify the number as rational or irrational.

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3 years ago

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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

MissTica

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

Find the interest in 1980 with a 20% rate

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

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.

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

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1 year ago

You have $95 in your bank account. Each week you plan to deposit $9 from your allowance and $10 from your paycheck. The equat

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Answer:

7 weeks

Step-by-step explanation:

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Combine like terms

b=95+(19)w

Let b = 220

220 = 95 + 19w

Subtract 95 from each side

220-95 = 19w

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Divide each side by 19

125/19 = w

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3 years ago

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3 years ago

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Step-by-step explanation:

the angle is greater than 180 degrees so it makes it an obtuse triangle

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