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3 years ago

Need help on this please ?

Mathematics

1 answer:

Fantom [35]3 years ago

5 0

By using the Parallel Line Theorem you can determine that Angle B and H are equal. Then you need to solve for x.

8x - 34 = 5x + 2
8x - 5x = 2 + 34
3x = 36
x = 36/3
x = 12

Lastly, you substitute this x value into the expression in the H angle.

5x + 2
= 5(12) + 2
= 60 + 2
= 62°

Therefore, Angle H is 62°.

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What percent of 29.5 is 10.03

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$\bf \begin{array}{ccll}
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\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
29.5&100\\
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3 years ago

phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year

Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

$\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}$

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

$\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}$

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0

3 years ago