2. a landlord wants to acquire an additional apartment building for $250,000. the new building
contains eight apartment units, which will each rent for $500 per month. the bank is willing to
loan the landlord the money for a long-term, 30-year loan at a 5.5 percent interest rate.
calculate the monthly payment and explain whether taking this loan for the new building is a
smart business decision. (10 points)

monthly payment is about $1422 (rounded)

"taking this loan would be a smart decision because even after paying off the loan, he is still making a handsome profit (because his income per month is more than his loan payment)."

Step-by-step explanation:

The loan is an annuity so we use the formula for annuity to find the monthly payments he has to make.

Where

PV is present value of the loan (250,000)

C is the monthly payment (what we are trying to find)

n is the number of months (30 years * 12 = 360 months)

r is the rate of interest per month ( i = 5.5%/12 = 0.0046)

Putting these values, we solve for C:

So monthly payment is about $1422 (rounded)

Since, each of the 8 apartments are going to be rented out at 500, total monthly income would be 8 * 500 = $4000

taking this loan would be a smart decision because even after paying off the loan, he is still making a handsome profit (because his income per month is more than his loan payment).

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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