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2 years ago

Interest: $160.67 Principal: $2000 Rate: % Time: 8 months

Mathematics

1 answer:

ivanzaharov [21]2 years ago

4 0

Answer:

12.05%

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 12.050249999994%/100 = 0.12050249999994 per year,

then, solving our equation

I = 2000 × 0.12050249999994 × 0.666666666667 = 160.67

I = $ 160.67

The simple interest accumulated

on a principal of $ 2,000.00

at a rate of 12.050249999994% per year

for 0.666666666667 years is $ 160.67.

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What are the amplitude, period, and phase shift of the given function? f(t)=-2/3 cos (3t-3pi)

dybincka [34]

Answer:

amplitude; $\frac{2}{3}$

Phase shift; $\pi$ units right

Period; $\frac{2\pi}{3}$

Step-by-step explanation:

The given function is

$y=-\frac{2}{3}\cos(3t-3\pi)$

This function is of the form;

$y=A\sin (Bt+C)$

The period is given by:

$|A|=|-\frac{2}{3}|= \frac{2}{3}$

The period is given by:

$T=\frac{2\pi}{|B|}= \frac{2\pi}{|3|}=\frac{2\pi}{3}$

The phase shift is given by;

$\frac{C}{B}=\frac{-\3pi}{3}=- \pi$ or $\pi$ units right.

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3 years ago

Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points

zubka84 [21]

Answer:

Mary- $18

Jane- $30

Step-by-step explanation:

Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.

x(3+5) = $48

3x + 5x = $48

8x = $48

8x/8 = $48/8

x = $6

3($6):5($6) = $18:$30

4 0

2 years ago

Read 2 more answers

The rectangle below has an area of c^2-4x-12 square meters and a length of x+2 meters what expression represents the width of th

Korolek [52]

Answer:

Width = $\frac{c^2 - 4x - 12 }{x+2}$

Step-by-step explanation:

All we have to do is to use the method of changing the subject. First we know that length * width is equal to area.

Area = length * width

We have the area and the length but we don't have the width. So we substitute the values we have int the equation and make the width (w) the subject.

(c^2 - 4x - 12) = (x + 2) * w

(c^2 - 4x - 12) = w(x +2)

Divide both sides by (x+2) so w can stand alone.

$\frac{c^2 - 4x - 12}{x+2} = \frac{w(x+2)}{x+2}$

w = $\frac{c^2 - 4x - 12 }{x+2}$

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2 years ago

What is the value of c? 14=2c−6+3c14 Enter your answer in the box.

disa [49]

14=2c-6+3c14, we can re-write it as

14=2c-6+42c

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3 years ago

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dimaraw [331]

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3 years ago