Answer:
$4080
Step-by-step explanation:
We have the amount she will pay back, but first, we need to find the Interest accrued.
Simple Interest is given as:
where P = principal
R = rate
T = time taken (in years)
Therefore, the interest on $3,000 at 9% simple interest for 4 years is:
I = $1080
Therefore, the amount she will pay back is:
$3000 + $1080 = $4080
Answer:
The area of the region between the two curves by integration over the x-axis is 9.9 square units.
Step-by-step explanation:
This case represents a definite integral, in which lower and upper limits are needed, which corresponds to the points where both intersect each other. That is:
Given that resulting expression is a second order polynomial of the form , there are two real and distinct solutions. Roots of the expression are:
and
.
Now, it is also required to determine which part of the interval is equal to a number greater than zero (positive). That is:
and
.
Therefore, exists two sub-intervals: and
. Besides,
in each sub-interval. The definite integral of the region between the two curves over the x-axis is:
The area of the region between the two curves by integration over the x-axis is 9.9 square units.
