Answer:
f(x) = 300,000(1.05)^x
Step-by-step explanation:
Use the exponential growth equation:
f(x) = a(1 + r)^x
Plug in 300,000 as a, since it is the original population:
f(x) = 300,000(1 + r)^x
The city's population is growing at 5% each year, so plug in 0.05 as r:
f(x) = 300,000(1 + 0.05)^x
f(x) = 300,000(1.05)^x
So, the function for the population growth is f(x) = 300,000(1.05)^x
The balance would be 1,500$.
1,500 divided by 5 is 300. So they would have to make five payments of 300$.
Answer:
Based on this information the population in 2019 is <u>23,395</u>. This is because 4.18% of 11,211 is 468.62, times 26(amount of years) is 12,184. After that you would just add the original population(11,211).
Step-by-step explanation:
Here, we are required to determine after how many minutes will the two substances be at the same temperature.
The equation of when the two substances will be at the same temperature and the solution are as follows;
(a) The equation is 96.2 + 1.5(x) = 98.5 + 0.8(x).
(b) The solution is, x = 3.285minutes.
For substance A which is currently at 96.2° and rising at 1.5° each minute; It's temperature after x minutes is given as;
For substance B which is currently at 98.5° and rising at 0.8° each minute; It's temperature after x minutes is given as;
(a) For the two substances to be at the same temperature; T(a) must be equal to T(b).
The equation is therefore;.
96.2 + 1.5(x) = 98.5 + 0.8(x)
(b) To determine the solution;
1.5x - 0.8x = 98.5 - 96.2
0.7x = 2.3
x = 2.3/0.7
x = 3.285minutes.
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Pentagon A B C D E is reflected across the X-axis to form pentagon A B C D.