Using technology, we determined that Mary’s investment account can be modeled by the function, M(x) = 3.03(2.18)^x in thousands of dollars. What was Mary’s initial investment?

$3.03
$4.96
$3,030
$4,960

Respuesta :

Initial investment can be calculated by setting the value of x to zero since it is an initial value where time is zero. Using the given model, we calculate as follows:

M(x) = 3.03(2.18)^x
M(0) = 3.03 (2.18)^0
M(0) = 3.03 <---------FIRST OPTION

The standard form of writing exponential function is given as:

y = ab^x. Mary’s initial investment is $3.03

Exponential equations

The standard form of writing exponential function is given as:

y = ab^x

where

a is the base

x is the exponent

Given the Mary’s investment account can be modeled by the function M(x) = 3.03(2.18)^x

Her initial investment is the point where x = 0

Substitute

M(x) = 3.03(2.18)^x

M(0) = 3.03(2.18)^0
M(0) =  3.03

Hence Mary’s initial investment is $3.03

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