Tyrone is considering a purchase of a $145,000 home at 5.75%. under this rate, his mortgage payment would be $846.18. if he purchases a point, his new mortgage payment is $834.70. how many months would it take him to break-even on the points purchase?

Step-by-step explanation:

Answer is 127 -apex

The answer is d. 127 months

Step-by-step explanation:

Mortgage loan amount is the amount you wish to borrow for your home mortgage.

To calculate how many months would it take him to break-even on the points purchase you must:

-You know the amount of your monthly payment at the interest rate to be charged if Tyrone does not buy points: $ 846.18

-You know the amount of your monthly payment at the lowest rate if Tyrone pays points: $ 834.70

-Subtract the lower payment from the higher payment to find the amount saved each month:  $846.18 - $834.7 = $11.48

- The cost of each point is equal to one percent of the loan amount. So, for a $145,000 loan, one discount point equals $1,450. Taking this into account, finally, you divide that amount charged for points at closing ($1,450) by the monthly amount saved. The result is the number of months you must keep the loan to break-even on paying points.

(approximately )

This means that 127 months would it take him to break-even on the points purchase

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)