Sabrina took out a loan for $2050 at a 14.4% apr, compounded monthly payments of $117.50

C)

Step-by-step explanation:

Formula to calculate compounded monthly payments

A = R( (1-(1+r)^-n) / r)

where

r = 0.14/12

  = 0.012

A = 2050

R = 117.50

n =no. of payments

2050 = 117.50 (1 - (1 + 0.012)^-n / 0.012)

cross multiplication

2050 (0.012) / 117.50  = 1 - (1 + 0.012)^-n

1 on other side

(2050 (0.012) / 117.50) - 1 = - (1+0.012)^-n

eliminating minus sign

1 - (2050 (0.012) / 117.50) = (1+0.012)^-n

LCM

(117.50 -  2050(0.012) ) / 117.50 = (1 + 0.012)^-n

power in negative

(117.50 -  2050(0.012) ) / 117.50  = 1 / (1+0.012)^n

reciprocal

117.50 / (117.50 -  2050(0.012) )  = (1+0.012)^n

taking log

log(117.50 / (117.50 -  2050(0.012) ) = log(1+0.012)^n

Answer

log(117.50 / (117.50 -  2050(0.012) ) = n log(1+0.0120)

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

what's the question?

step-by-step explanation:

there is no question.