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ira [324]
3 years ago
9

Marco decides to take out a $4,000 student loan during his first year in college. If he is charged 10% interest that is compound

ed annually, how much will the total loan amount equal in four years when he graduates?
Mathematics
2 answers:
Ivan3 years ago
7 0

Answer: $5856.40

100+10 = 110

110/100=1.1

4000 X 1.1^4 = 5856.4

$5856.40

Step-by-step explanation:

110/100=1.1

4000 X 1.1^4 = 5856.4

Answer: $5856.40

Natali5045456 [20]3 years ago
5 0

Answer:

100+10 = 110

110/100=1.1

4000 X 1.1^4 = 5856.4

$5856.40

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Harrizon [31]

The correct question is:

Suppose x = c1e^(-t) + c2e^(3t) a solution to x''- 2x - 3x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c1 as c1 and c2 as c2.)

Answer:

x = c1e^(-t) + c2e^(3t)

is a solution to the differential equation

x''- 2x' - 3x = 0

Step-by-step explanation:

We need to verify that

x = c1e^(-t) + c2e^(3t)

is a solution to the differential equation

x''- 2x' - 3x = 0

We differentiate

x = c1e^(-t) + c2e^(3t)

twice in succession, and substitute the values of x, x', and x'' into the differential equation

x''- 2x' - 3x = 0

and see if it is satisfied.

Let us do that.

x = c1e^(-t) + c2e^(3t)

x' = -c1e^(-t) + 3c2e^(3t)

x'' = c1e^(-t) + 9c2e^(3t)

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= (1 + 2 - 3)c1e^(-t) + (9 - 6 - 3)c2e^(3t)

= 0

Therefore, the differential equation is satisfied, and hence, x is a solution.

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