Answer:
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Step-by-step explanation:
Answer:
$2500 - 2%
$1500 - 4%
Step-by-step explanation:
Say the interest for the $2500 is x, so the interest for the $1500 is x+0.02.
As an equation, they would look like this:
2500x+1500(x+0.02)=110
Now solve
2500+1500x+30=110
4000x=80
x=0.02
That means the interest for the $2500 is 0.02, or 2%, and the interest for the $1500 is 0.04, or 4%.
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)
Multiply equation (1) by 2:
22x + 30y + 46 = 0
Multiply equation (2) by 15:
105x - 30y - 300 = 0
Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]
Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3
Therefore, x = 2 and y = -3.
The decay factor of the exponential function given in the table is of
.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, we have that when x increases by 1, y decreases by a factor of 3, hence the decay rate r is found as follows:



More can be learned about exponential functions at brainly.com/question/25537936
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