What is (-12) + 7 Pre-Algebra
2 answers:
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Answer:
The graph of his initial step in the attached figure
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value
b is the base
r is the rate of change
In this problem
a=3 ---> the initial value ( value of the function when the value of x is equal to zero)
b=4
b=1+r ----> 4=1+r ----> r=3 ---> r=300%
therefore
The initial value is the point (0,3)
The graph of his initial step in the attached figure
<h3>Answer: B) 1.0 year</h3>
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Explanation:
We have these two functions
- f(t) = 12(1.02)^(4t)
- g(t) = 12(1.09)t
which represent the amounts for his friend and William in that order. Strangely your teacher mentions William first, but then swaps the order when listing the exponential function as the first. This might be slightly confusing.
The table of values is shown below. We have t represent the number of years and t starts at 0.5. It increments by 0.1
The f(t) and g(t) columns represent the outputs for those mentioned values of t. For example, if t = 0.5 years (aka 6 months) then f(t) = 12.48 and that indicates his friend has 12,480 dollars in the account.
I've added a fourth column labeled |f - g| which represents the absolute value of the difference of the f and g columns. If f = g, then f-g = 0. The goal is to see if we get 0 in this column or try to get as close as possible. This occurs when we get 0.09 when t = 1.0
So we don't exactly get f(t) and g(t) perfectly equal, but they get very close when t = 1.0
It turns out that the more accurate solution is roughly t = 0.9925 which is close enough. I used a graphing calculator to find this approximate solution.
It takes about a year for the two accounts to have the same approximate amount of money.