A savings account appreciates 1.5% each month. If the initial balance is $50,000, what would the total balance be after 36 months?

$52284

Step-by-step explanation:

Given data

Rate= 1.5%

Principal= $50,000

Time = 36 months = 3 years

For the final amount A, let us apply the compound interest formula

A= P(1+r)^t

subtsitute

A=50000(1+0.015)^3

A=50000(1.015)^3

A=50000*1.045678375

A=52284

Hence the balance after 36 months (3 years) is $52284

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

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