You have $100 in your savings account and plan to deposit $12.50 each month. how many months will it take you to save enough money to buy 10 acres of land on mars? mars=10 acres for $175

It will take 6 months

Step-by-step explanation:

cost of land = 175

amount in account = 100

monthly deposit = 12.50

cost of land = amount in account + monthly deposit * number of months

put in what you know

175 = 100 + 12.50 m

subtract 100 from each side

175-100 = 100-100 + 12.50m

75 =12.50m

divide by 12.50

75/12.50 = 12.50m/12.50

6 =m

It will take 6 months

6 months is your answer

Step-by-step explanation:

10 acres in mars = $175

You deposit $12.50 each month to your savings account, which has $100.

Set the equation. Let the amount of month be x.

12.50x + 100 = 175

Isolate the x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 100 from both sides

12.50x + 100 (-100) = 175 (-100)

12.50x = 175 - 100

12.50x = 75

Next, divide 12.50 from both sides

(12.50x)/12.50 = (75)/12.50

x = 75/12.50

x = 6

6 months is your answer

~

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2