We know that the population is declining at a rate of 14% per year.
The expression is:
N ( x ) = 206 * ( 0.86 ) ^ x
where x stays for years.
If we want to find the rate at which the population is declining per month we have to find:
![\sqrt[12]{0.86} = 0.9875](https://tex.z-dn.net/?f=%20%5Csqrt%5B12%5D%7B0.86%7D%20%3D%200.9875%20%20)
And 0.9875 ≈ 0.99
There are 12 months in a year so the exponent is: x/12
Answer:
b. ( .99 ) ^ x/12
Answer:
<em>Answer: D. Jake paid his loan in 12 months</em>
Step-by-step explanation:
Jake took out an interest-free loan of $2,401.56 from the bank to buy a car.
Since he has to pay no interest for the loan, the monthly payments are totally used to cover the amount of the loan.
He paid the bank $200.13 each month, thus the total months needed to pay the loan is:
Answer: D. Jake paid his loan in 12 months
I think that's what you mean
Divide the three fourths of the eight graders by 252 and then simplify
<h3>
Answer: -13</h3>
=======================================
Explanation:
g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)
g(1) = -4 means we have the point (1,-4)
Find the slope of the line through the two points (-3,2) and (1,-4)
m = (y2-y1)/(x2-x1)
m = (-4-2)/(1-(-3))
m = (-4-2)/(1+3)
m = -6/4
m = -3/2
m = -1.5
The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5
Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation: 2 = -1.5*(-3) + b
Let's solve for b
2 = -1.5*(-3)+b
2 = 4.5 + b
2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides
-2.5 = b
b = -2.5
Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5
The last step is to plug in x = 7 and compute
g(x) = -1.5*x - 2.5
g(7) = -1.5*7 - 2.5
g(7) = -10.5 - 2.5
g(7) = -13
