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skelet666 [1.2K]
3 years ago
7

Connie made deposits of $2,000 at the beginning of each year for four years. the rate she earned is 5% annually. what is the val

ue of connie's account in four years?
Mathematics
1 answer:
Dvinal [7]3 years ago
7 0
To get the value of Connie's deposits we use the future value of annuity:
FV=P[((1+r)^n-1)/r]
where:
P=periodic deposits
r=rate
n=time
thus plugging our values in the formula we get:
FV=2000[((1+0.05)^4-1)/0.05]
FV=$8620.25

Answer: $8620.25
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Answer:

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Step-by-step explanation:

As the two figure are the image and pre-image of a dilation.

Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.

As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.

It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in

Lets determine the missing side of the right side triangle by the same rule.

As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5

So, the value of x will be 2.5

Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.

so

y + 1 = 2(3)         ∵ 3 in (image side) is multiplied by 2

y + 1 = 6

y = 6 - 1

y = 5

So, the value of y = 5

Therefore,

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Step-by-step explanation:

Hope this <em><u>Helped!</u></em> :D

Credit sourced from "www.sedelco.org"

6 0
3 years ago
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