Laurent invested some money in a bank account.
The relationship between the elapsed time, ttt, in decades, since Laurent invested the money, and the total amount of money in the account, M_{\text{decade}}(t)M
decade

(t)M, start subscript, start text, d, e, c, a, d, e, end text, end subscript, left parenthesis, t, right parenthesis, in dollars, is modeled by the following function:
Mdecade(t)=4900⋅(1.5)t

1.04

Step-by-step explanation:

"Complete the following sentence about the yearly rate of change in the amount of money in the account.  Round your answer to two decimal places.

Every year, the amount of money in the account increases by a factor of _."

Mdecade(t) = 4900 (1.5)^t, where t is in decades.

One year is 0.1 decades, so M increases by a factor of:

1.5^0.1 = 1.04

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

step-by-step explanation: