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1 year ago

You deposit money into an

Mathematics

1 answer:

nadya68 [22]1 year ago

7 0

The amount of money you deposit into the account is $3000

<h3>How much money did you deposit into the account? </h3>

The given parameters are

Rate, r = 8%

Time, t = 5 years

Interest, I = $1200

The formula of simple interest is

I = PRT

So, we have

1200 = I * 8% * 5

This gives

1200 = I * 0.4

Divide both sides by 0.4

I = 3000

Hence, the amount of money you deposit into the account is $3000

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Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

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Acute angle have measure less than 90°

Now given as :

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SO, $(90° - (\frac{x}{2}+2x))$ = $2x+\frac{3x}{2}$

Or, 90° = $2x+\frac{3x}{2}$ + $\frac{x}{2}+2x$

or, 90° = $\frac{4x}{2}$ + 4x

Or, 90° = $\frac{12x}{2}$

So, x = $\frac{90}{6}$ = 15°

∴ $sin(\frac{x}{2} + 2x)$ = $sin(\frac{15}{2} + 30)$

So, $sin(\frac{x}{2} + 2x)$ = sin $\frac{75}{2}$

∴ The value of Ф_1 = $\frac{75}{2}$ = 37.5°

Similarly $cos(2x +\frac{3x}{2})$ = $cos(30 +\frac{45}{2})$

So ,The value of Ф_2 = $\frac{105}{2}$ = 52.5°

∵ β α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5° Answer

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3 years ago

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3 years ago

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Step-by-step explanation:

Look at the picture.

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