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2 years ago

A principal of $2600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 8 years?

1 answer:

3 0

To add 7.5% to a number you simply multiply the number by 1.075. To compound that amount year after year, you raise 1.075 to an exponent that corresponds to the number of years. 2600*(1.075^8)=4637.04234646

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A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his

S_A_V [24]

Answer:

9 quarters 5 dimes!

Step-by-step explanation:

9x0.25=2.25

5x0.10=0.50

2.25+0.50=2.75

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3 years ago

What is the value of x ? A : 15 B : 30 C: 45 D : 60

jenyasd209 [6]

Answer:

Step-by-step explanation:

So that is a 90 degree angle and there is an angle of 30. 30-90 is 60. 60 divided by 4 is 15. So thus the answer is A,15.

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3 years ago

Read 2 more answers

triple one number added to another number is 22. if the second number is equal to 8 less than 2 times the first number, find the

Scrat [10]

Answer:

6 and 4

Step-by-step explanation:

Let the numbers are x and y.

Given:

3x + y = 22
y = 2x - 8

Solve by substitution:

3x + 2x - 8 = 22
5x = 22 + 8
5x = 30
x = 6

Find y:

y = 2*6 - 8 = 12 - 8 = 4

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2 years ago

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Arisa [49]

Answer:

Step-by-step explanation:

SIMPLE 30 X 30

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3 years ago

A ball moves in a straight line has an acceleration of a(t) = 2t + 5. Find the position function of the ball if its initial velo

Vlad1618 [11]

Answer:

$s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12$

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is $a(t) = 2t + 5$

Velocity:

$v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K$

In which K is the constant of integration, which is the initial velocity. So K = -3 and:

$v(t) = t^2 + 5t - 3$

Position:

$s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K$

In which K, the constant of integration, is the initial position. Since it is 12:

$s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12$

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3 years ago