Write each answer in polynomial in simplest form
Jack deposited some money in his savings account in September. In October he deposited twice as much as in September,and in November he deposited one-half as much as in September. If x represents the amount of money deposited in September,represent,in terms of x,the total amount Jack deposited in the 3 months.
Sept deposit --- x
Oct deposit ---- 2x
Nov deposit -- (1/2)x or x/2
total (ignoring any interest involved) = x +2x + x/2
= (2x + 4x + x)/2 = 7x/2 or 3.5x or (7/2)x
To calculate the total amount Jack deposited in the three months, we need to consider the deposits made in each month.
In September, Jack deposited x amount of money.
In October, he deposited twice as much as in September, so the amount would be 2x.
In November, he deposited one-half as much as in September, so the amount would be 0.5x.
To find the total amount, we add up the deposits from each month:
September: x
October: 2x
November: 0.5x
Total amount deposited = x + 2x + 0.5x
Combining like terms, we can simplify the expression:
Total amount deposited = (1 + 2 + 0.5)x
Adding the coefficients, we get:
Total amount deposited = 3.5x
Therefore, the total amount Jack deposited in the three months can be expressed as a polynomial in simplest form as 3.5x.