Answer:
The exponential equation is <em>A = 600(1.04)^15</em>
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The value of the mutual fund after 15 years is <em>$1,081</em>
Step-by-step explanation:
The value of the mutual fund after the number of years can be represented using the compound interest equation below;
A = P(1 + r/n)^nt
Where A is the value of the mutual fund after 15 years, P is the initial amount invested which is $600, r is the interest rate which is 4% or 0.04(4% = 4/100 = 0.04), n is the number of times we are compounding per year(which is 1 since it is a one time payment per year) and t is the number of years which is 15
Let's plug these values, we have;
A = 600(1 + 0.04/1)^15
A = 600(1.04)^15
A = $1,081 approximately
So M=Mabels score
N=Nancys score
P=Phoebes score
M=N+19
P=N-10
p=23 Therefore Nancys Score is 33
Mabel scored 19 more points on her test than Nancy did.
So therefore add N+M = 52
To approximate the measure of angle D, we will need to use the inverse cosine function on our calculator. All calculators vary, so I am not sure where you would find the button for it on your calculator. However, I know many calculators have it so you click the second button, then cos.
cos(D) = 0.33
D = cos^-1 (0.33)
D = 70.7 degrees
Hope this helps!! :)
Answer:

Step-by-step explanation:
This problem is solved using the linear function formula:

Where:
y= total bill
x= number of hours worked
b=fee
We have to find "a" in order to have the complete equation. We know that the constant fee (b) is 12$, and that if the hours worked are of 2.5 the total bill is $95.75, so we supplant on the equation and isolate "a".







So now we have the complete equation:

C - 10 = g
L - 5 = C
g = 5
then altogether he finds
40 bugs