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AlekseyPX
3 years ago
9

Katie has $7 in a savings account. The interest rate is 5%, compounded annually.

Mathematics
2 answers:
Jlenok [28]3 years ago
6 0

Compound interest earned would be $1.1034

Step-by-step explanation:

The formula for amount, when interest is compounded annually is

A = P(1+r)^n

Here

A= amount

P= principal

r= rate of interest

n= time period

So putting the values in the formula

A = 7(1+.05)^3

A = 7*(1.05)^3

A = 7*1.157625

A= 8.1034

So the Compound Interest would be

C.I = 8.1034-7.0

C.I = 1.1034

PIT_PIT [208]3 years ago
3 0

Answer:

15%

Step-by-step explanation:

I am not sure

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A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the
Liono4ka [1.6K]

Answer:

The wall is 10.5 foot far from the bottom of the ladder.

Step-by-step explanation:

Given:

Height of the ladder leaning against wall (Hypotenuse) = 20 foot.

Height from where the window is above from the ground (Leg1) = 17 feet.

To find the distance of the bottom of the ladder far from the wall (Leg2) = ?

Now, by using the pythagorean theorem:

Hypotenuse^{2} = (Leg1)^{2} + (Leg2)^{2}

20^{2} =17^{2}+(Leg2) ^{2}

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by squaring both sides

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3 years ago
Find the sum of the first one hundred positive integers. see fig 6.26
nignag [31]
Here's a pattern to consider:
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This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
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Quick note
We can use a formula to find out the sum of an arithmetic series:
s =  \frac{n(n + 1)}{2}
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