Gwen saves 15% of her income. This month her income is $500 more than last month. The expression 0.15(x + 500) represents the amount of money she saves this month, where x is last month’s income. Gwen saves $210 this month. What was Gwen’s income in dollars last month?

$900

Step-by-step explanation:

Savings = 15% of her income

This month income = $500

Given expression:

0.15(x + 500)

where,

x = last month’s income.

What was Gwen’s income in dollars last month?

Gwen saves $210 this month.

210 = 0.15(x + 500)

Open the parenthesis

210 = 0.15x + 75

Collect like terms

210 - 75 = 0.15x

135 = 0.15x

Divide both sides by 0.15

x = 135 / 0.15

= 900

x = $900

Gwen’s income in dollars last month is $900

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: