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BlackZzzverrR [31]

3 years ago

9

If the simple interest on 3,000$ for 3 years is 450$, then what is the interest rate?

1 answer:

Artyom0805 [142]3 years ago

4 0

Answer/Step-by-step explanation:

The interest rate is 15% for every 3 years. To find the interest rate subtract the money from the total. Then, divide the total from the difference. Now subtract the quotient from 100 and multiply it by 100 to fin the percentage.

3000 - 450 = 2550

2550 ÷ 3000 = 0.85

100 - 0.85 = 0.15

0.15 x 100 = 15%

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divide both sides with -10
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A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte

AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

$\angle SPR$ =Angle subtended by the statue to where you are standing.

$\angle x=\angle RPQ$ = which is unknown.

Let us begin solving now. The first step is to find the angle $\angle x$ which can be found by using the following trigonometric ratio in $\Delta PQR$ :

$tan(x)=\frac{RQ}{PQ} =\frac{21}{57}$

Which gives $\angle x$ to be:

$\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}$

Now, we know that $\angle x$ and $\angle SPR$ can be added to give us the complete angle $\angle SPQ$ in the right triangle $\Delta SPQ$ .

We can again use the tan trigonometric ratio in $\Delta SPQ$ to solve for the height of the statue, h.

This can be done as:

$tan(\angle SPQ)=\frac{SQ}{PQ}$

$tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}$

$tan(27.32^0)=\frac{h+21}{57}$

$\therefore h+21=57tan(27.32^0)$

$h\approx8.45 ft$

Thus, the height of the statue is approximately, 8.45 feet.

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3 years ago

The grocery store where Ms. Maple works pays her $6.50 per hour. Any time she works more than 40 hours per week, she is paid tim

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Answer:

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Step-by-step explanation:

First we should find out how much Ms. Maple would make in a week without overtime.

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Now, let's figure out how much she makes per hour in overtime.

6.5 x 1.5 = 9.75

Now add up the hours of overtime.

9.75 x 3 = 29.25

Now we add the weekly wage to the overtime

260 + 29.25 = 289.25

For 40 hours of regular time at $6.50/hr and 3 hours of overtime at $9.75/hr, Ms. Maple will make $289.25 for the week.

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Answer:

Step-by-step explanation:

subtracting your liabilities from your assets

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What is the expression for "the sum of 8 times a number and two"?

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Answer:

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