Colson Company has a line of credit with Federal Bank. Colson can borrow up to $800,000 at any time over the course of the 2018 calendar year. The following table shows the prime rate expressed as an annual percentage along with the amounts borrowed and repaid during the first four months of 2018. Colson agreed to pay interest at an annual rate equal to 2 percent above the bank’s prime rate. Funds are borrowed or repaid on the first day of each month. Interest is payable in cash on the last day of the month. The interest rate is applied to the outstanding monthly balance. For example, Colson pays 6 percent (4 percent + 2 percent) annual interest on $80,000 for the month of January. Month Amount Borrowed
or (Repaid) Prime Rate for
the Month
January $ 80,000 4.00 %
February 50,000 4.25
March (30,000 ) 4.50
April 20,000 4.25

step-by-step explanation:

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answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for