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3 years ago

How much would 500$ invested at 9% interest compounded annually be worth after 4 years?

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

7 0

Answer:

$705.79

Step-by-step explanation:

(see attached for reference)

the formula for compound interest is

A = P [1 + (r/n) ]^(nt)

Where:

P = Principal Amount = $500

r = annual interest rate = 9% = 0.09

t = 4 years

n = 1 (compounded annually)

A = 500 [1 + (0.09/1) ]^(1 x 4)

A = 500 [1 + 0.09 ]^(4)

A = 500 [1.09 ]^(4)

A = $705.79

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A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire d

Alekssandra [29.7K]

Answer: option d. C (0,3), D (0,5).

Justification:

1) The x - coordinates of the vertices A and B are shown in the diagrama, They are both - 4, so the new vertices C and D must be in a line parallel to y = - 4.

2) The y-coordinates of the vertices A and B are also shown in the diagrama. They are equal to 3 and 5 respectively.

3) We can see that the new points C and D must be over a parallel line to y = - 4 and that their distance to the points A and B has to be the same distance of the point R and S to U and T.

That distance is 4, so the line may be y = - 7 or y = 0.

4) If the line is y = 7 the points C and D would have coordinates (-7,3) and (-7,5), but this points are not among the options.

5) If the line is y = 0 the points C and D would have coordinates (0, 3) and (0,5), which is precisely the points of the option d. That is the answer.

3 0

3 years ago

Read 2 more answers

If the circumference is 3/2 pi what is the area

11111nata11111 [884]

Here is your answer

$\frac{9}{16} \pi \: {units}^{2}$

REASON:

Circumference(C)= 2πr

, where r is radius

Given

C= (3/2) π

So,

$2\pi \: r = \frac{3}{2}\pi$

$r = \frac{\frac{3}{2}\pi}{2\pi}$

$r = \frac{3}{4}$

Now,

$area = \pi {r}^{2}$

$= \pi \times { (\frac{3}{4}) }^{2}$

$= \frac{9}{16}\pi \: {unit}^{2}$

HOPE IT IS USEFUL

8 0

3 years ago

Determine side x. Round to the nearest unit. 20 9 12 5

tatyana61 [14]

Answer:

Step-by-step explanation:

First, you will have to use trigonometry. Since the side of the triangleis the opposite of the angle 53 and the hypotenuse, you will use sin.

Sin 53 degrees = opposite side / hypotenuse side.

The opposite side is x and the hypotenuse side equals 15.

sin53= x/15

15 ( sin 53 ) =x

x= 11.97953

Round

x=12

6 0

2 years ago

Answer quick please.

Brilliant_brown [7]

Answer

The Answer is A C D

Step-by-step explanation:

4 0

2 years ago

What is the approximate scale factor dilating from the red image to the blue image?Explain how you figured this out.

Lorico [155]

If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.

Explanation:

The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor = $\frac{baselengthbeforescaling}{baselengthafterscaling}$ = $\frac{2.5}{9}$ = 0.2777.
So the red image is dilated by a scale factor of 0.2777 to produce the blue image.

5 0

2 years ago