Answer:
11.0 years
Step-by-step explanation:
The exponential function describing the population growth can be written ...
population = (initial population)×(1 +growth rate)^years
If t represents the number of years, we can fill in the values to get ...
18500 = 12000×1.04^t
Dividing by 12000 gives ...
18500/12000 = 1.04^t
Taking logarithms, we have ...
log(18500/12000) = t×log(1.04)
t = log(185/120)/log(1.04) ≈ 11.037 ≈ 11.0
It will be 11.0 years until the population reaches 18,500.
Answer:
16, -16, 14, and -14
Step-by-step explanation:
The easiest way of solving this question is by setting up an equation. Let's use "n" to represent any random possible integer.
n (n + 2) = 224
Simplifying:
x^2 + 2n - 224 = 0
(n + 16)(n - 14) = 0
n = -16, 16 or n = -14, 14
<u>Check:</u>
16 * 14 = 224
-16 * -14 = 224
Thus, answers of 16, -16, 14, and -14 all work correctly.
I don't know domain but range is the smallest number and largest number, median is the middle number when the numbers are ordered from least to greatest, and the mode is the most common or reoccuring variable in a set of numbers.
Answer:
<em><u>x=9, y=12</u></em>
Step-by-step explanation:
-5x+4y=3
--------A
x=2y-15----------B
Putting the value of x from B in A
-5(2y-15) +4y=3
-10y+75+4y=3
-6y=3-72
-6y=-72
y=72/6= 12
Putting the value of y =12 in B
x= 2(12)-15
x= 24-15
x=9
The least common multiple is : 18
It is the lowest amount that can be reached.
