Huai takes out a $3100 student loan at 6.7% to help him with 2 years of community college. After finishing the 2 years, he transfers to a state university and borrows another $12,700 to defray expenses for the 5 semesters he needs to graduate. He graduates 4 years and 4 months after acquiring the first loan and
payments are deferred for 3 months after graduation. The second loan was acquired 2 years after the first and has an interest rate of 7.3%. Find Huai's
monthly payment when regular payments begin.
Part: 0/3
Part 1 of 3
(a) Calculate the monthly payment on loan 1 (community college). Round your answer to two decimal places, if necessary.
The monthly payment on loan 1 (community college) is s
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5

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)