Calculate the present value of a loan with $25,000 due after 12 years at 6% if the interest was compounded monthly. (the present value is the same as the principal amount of the loan). Discuss how the present value of a compounded loan changes as you increase time?

a) The present value of the loan is $12190.66

b) The present value of the loan decreases as the time increases

Step-by-step explanation:

Step 1 :

Given

Amount after 12 years = $25000

number of years = 12

interest rate = 6% compounded monthly

Step 2 :

The amount is computed using the formula

A = P (

Where P = Principal amount

r = interest rate

n = number of terms

Here,

A = 25000

r = 6% × 12 (as it is compounded monthly)

n = 6 × 12 (as it is compounded monthly)

So we have ,

25000 = P  

=> P(2.05) = 25000

=> P = $12190.66

Step 3 :

The present value of the loan decreases as the time increases

Step 4 :

Answer :

The loan's present value is $12190.66

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq