Adebt of $2000 due in five years and $7000 due in seven years is to repaid by a single payment three years from now. if the interest rate is 8% compounded quarterly, how much is the payment?

The single payment three years from now will be of $11,414.17

Step-by-step explanation:

To calculate investments or debts with compound interests you're going to need the following formula:

Where:

V(n) is the value of the debt after n years,

R is the annual interest rate,

t is the number of times the debt is going to be compounded annually,

n is the number of years the debt is going to be compounded,

P is the principal amount being owed.

You know that the debt will be cancelled in 3 years from now. Therefore you have that n = 3 for both debts, because after the 3rd year the debts won't keep compounding interests.

Then you have that t = 4, because the debt is compounded quarterly.

We can add up the two principals $2000 + $7000 = $9000 to make it our value P, so P = 9000.

And finally we have that R = 0.08.

Now you have everything you need to replace in the formula:

Therefore the single payment three years from now is going to be of $11,414.18

we don't have enough info to solve this

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: