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Wittaler [7]
3 years ago
9

You deposit $100 in an account earning 4% interest compounded annually. How much will you have in the account in 10 years? Round

your answer to the nearest penny
Mathematics
1 answer:
rosijanka [135]3 years ago
5 0

Answer:

$148.02

Step-by-step explanation:

In the question

Principal = $100, rate(R) = 4% compounded annually, time(T)= 10 years

we know that the formula for compound interest

A=P\times_(1+\frac{R}{100} )^{T}   where A is amount

now putting values in the above formula we get

A=100\times_(1+\frac{4}{100} )^{10}

therefore A= $148.024428

rounding off to the nearest penny we get amount as $148.02 and compound interest will be $48.02

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Komok [63]
864 in^2 as total surface area of the cube= 6 x side^2 = 6 x 12 x 12 in^2
8 0
3 years ago
Read 2 more answers
Part A: Find the y-intercept and slope in each representation below
Gelneren [198K]

Answer:

From left to right:

Y-intercept: 160

Slope:-40

Y-intercept: 6

Slope: 1/3

Y-intercept: 600

Slope: 50

Y-intercept: -2

Slope:  3

Step-by-step explanation:

From left to right:

Y-intercept: 160

Slope:-40

Y-intercept: 6

Slope: 1/3

Y-intercept: 600

Slope: 50

Y-intercept: -2

Slope:  3

7 0
3 years ago
Translate the expression 5X -7 into words
Sonja [21]
A translated expression of the following into words would be
Subtract five x by seven.

Hope this helped :)
5 0
3 years ago
Find the most general antiderivative of the function. (check your answer by differentiation. use c for the constant of the antid
irina1246 [14]

Answer:

Below in bold.

Step-by-step explanation:

f(x) = x(18x + 4)

f(x) = 18x^2 + 4x

Antiderivative = 18 * (x^2+1)/(2 + 1) -+4x(1+1) / (1+1) + C

                        =  18x^3 / 3 + 4x^2 / 2 + C

                         = 6x^3 + 2x^2 + C.

Checking by differentiating:

f'(x) = 6*3 x^(3-1) + 2*2x^(2-1)

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6 0
2 years ago
A computer can sort x objects in t seconds, as modeled by the function
r-ruslan [8.4K]

Answer:

  36 objects

Step-by-step explanation:

You want the value of x when t=9, so you're solving ...

  9 = 0.007x^2 +0.003x

  9 = 0.007(x^2 + 3/7x)

From here, we observe that an approximation is probably sufficient.

 9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2

  x ≈ 3/√.007 ≈ 35.9 ≈ 36

We can check:

  .007(36)(36 3/7) = 9.18

  .007(35)(35 3/7) = 8.68

To keep the computer busy for 9 seconds, it needs to sort 36 objects.

 

6 0
3 years ago
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