AnswersMathematics IIIRewriting Exponential Functions

Rewriting Exponential Functions — Quiz Answers

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Henry begins a savings account with 500 dollars The savings account accumulates 2 point 5 percent annual interest based on the equation cap v sub h is equal to 500 times 1 point 0 2 5 to the t th power , where cap v sub h is the value of the account after t years. Andres begins a savings account three years later with the same initial amount of money at the same interest rate. Which equations represent the value of Andres’s account after t years?

A
cap v sub cap A is equal to 500 times 1 point 0 2 5 raised to the t minus 3 power and cap v sub cap A is equal to 538 point 4 5 times 1 point 0 2 5 to the t th power
B
cap v sub cap A is equal to 500 times 1 point 0 2 5 raised to the t minus 3 power and cap v sub cap A is equal to 464 point 3 0 times 1 point 0 2 5 to the t th power
C
cap v sub cap A is equal to 500 times 1 point 0 2 5 raised to the t plus 3 power and cap v sub cap A is equal to 464 point 3 0 times 1 point 0 2 5 to the t th power
D
cap v sub cap A is equal to 500 times 1 point 0 2 5 raised to the t plus 3 power and cap v sub cap A is equal to 538 point 4 5 times 1 point 0 2 5 to the t th power
3

Consider the expression 1 point 1 times 1 point 3 raised to the x plus 4 power Which of the following is an equivalent expression?

A
the fraction with numerator 1 point 1 times 1 point 3 to the x th power and denominator 1 point 3 to the 4th power
B
1 point 1 times 1 point 3 raised to the 4 x power
C
1 point 1 1 point 3 to the 4th power 1 point 3 to the x th power
D
1 point 1 times 1 point 3 raised to the x over 4 power
4

A scientist has 50 grams of a radioactive element. The amount of radioactive element remaining after t days can be determined using the equation f of t is equal to 50 times 1 half raised to the t over 5 power After two days the scientist receives a second shipment of 50 grams of the same element. The equation used to represent the amount of shipment 2 remaining after t days is f of t is equal to 50 times 1 half raised to the the fraction with numerator t minus 2 and denominator 5 power Which of the following is an equivalent form of the expression for the amount remaining in shipment 2 ?

A
the fraction with numerator 50 times 1 half raised to the t over 5 power and denominator 1 half squared
B
the fraction with numerator 50 times 5th root of 1 half to the t th power and denominator 1 half raised to the 2 fifths power
C
the fraction with numerator 50 times 1 half raised to the t minus 2 power and denominator 1 half to the 5th power
D
the fraction with numerator 50 times square root of 1 half to the t th power end root and denominator 1 half to the 5th power
7

Jenny invests 2 dollars comma 000 at an interest rate of 5 percent The amount of money, m sub A , in Jenny’s account after t years can be represented using the equation m sub A is equal to 2000 times 1 point 0 5 to the t th power If Jenny would have invested the same amount of money at the same interest rate four years ago, the equation representing the amount of money, m sub b , in her account would be represented using the equation m sub b is equal to 2000 times 1 point 0 5 raised to the t plus 4 power Which of the following is equivalent to m sub b ?

A
m sub b is equal to the fraction with numerator 2000 times 1 point 0 5 to the t th power and denominator 1 point 0 5 to the 4th power
B
m sub b is equal to 2000 times 1 point 0 5 to the t th power plus 1 point 0 5 to the 4th power
C
m sub b is equal to 2000 1 point 0 5 to the t th power 1 point 0 5 to the 4th power
D
m sub b is equal to the fraction with numerator 2000 times 1 point 0 5 to the 4th power and denominator 1 point 0 5 to the t th power
9

Which of the following is equivalent to 1 half raised to the negative 2 t power ?

A
the fraction with numerator 1 to the t th power and denominator 2 squared
B
2 squared times 2 to the t th power
C
open paren 2 squared close paren to the t th power
D
open paren 1 half squared close paren to the t th power

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