Answer:
Approximately 107years
Step-by-step explanation:
Given the population of Mathloversville modelled by the equation P=38e^0.095t where t is the number of years from now.
To find the time it will take the population to reach 1million from now, we will substitute P = 1,000,000 into the equation given
1,000,000 = 38e^0.095t
Dividing both sides by 38
1,000,000/38 = e^0.095t
Taking the ln of both sides
ln(1,000,000/38) = ln e^0.095t
ln26,315.79 = 0.095t
10.18 = 0.095t
t = 10.18/0.095
t = 107.16years
It will take approximately 107years for the population to reach 1million
Answer:
1in. x 2 + 1in. = 3in.
Step-by-step explanation:
Answer:
<h2>x = -2 or x = 4</h2>
Step-by-step explanation:
The zeros:
(x + 2)(x - 4) = 0 ⇔ x + 2 = 0 or x - 4 = 0
x + 2 = 0 <em>subtract 2 from both sides</em>
x = -2
x - 4 = 0 <em>add 4 to both sides</em>
x = 4
Answer:
x=−3 and y=7
Step-by-step explanation Solve: 7x+2y=−7for x:
7x+2y=−7
7x+2y+−2y=−7+−2y(Add -2y to both sides)
7x=−2y−7
7x
7
=
−2y−7
7
(Divide both sides by 7)
x=
−2
7
y−1
------------
−2
7
y−1forxin11x+5y=2:
11x+5y=2
11(
−2
7
y−1)+5y=2
13
7
y−11=2(Simplify both sides of the equation)
13
7
y−11+11=2+11(Add 11 to both sides)
13
7
y=13
13
7
y
13
7
=
13
13
7
(Divide both sides by 13/7)
y=7
------------------------
Substitute7foryinx=
−2
7
y−1:
x=
−2
7
y−1
x=
−2
7
(7)−1
x=−3(Simplify both sides of the equation)
