Answer:
1 over 8
Step-by-step explanation:
So each of these statements are talking about the square footage of land per person. Let's go and find it!
First off, let's find the number in each building of the original complex:
280 people / 4 buildings
Each building has an equal number of residents. So just divide:
280/4 = 70.
So 70 residents per building
Now consider the fact that once a new building is built, another 70 people will move in.
280 + 70= 350
350 people total.
Then lets look at the plot of land
Originally, there are 200,000 square feet of land for the 4 buildings. Then after the expansion, the plot of land will be:
200,000 + 200*200
= 200,400
Go back to the question. What's the effect of the expansion in terms of square feet of land per person?
Divide!
200,400 / 350
Approximately = 572.57 square feet
Then since it's being compared to the amount each resident had before the expansion, do the same thing with the corresponding numbers:
200,000 / 280
Approximately = 714.29
So how much will each person's land decrease?
714.29 - 572.57 approximately = 141.72 square feet.
The answer is the first choice!
Hope this helps
Answer:
Greetings!
The formula for compound interest is A = P(1+r)^t, where A = total amount, P = principal (initial amount), r = interest rate (in decimal form), and t = time in years. The rate is 5%. 5% is 0.05 in decimal form. 1 + 0.05 is 1.05. 1 is added, because the 1 represents the whole amount and the amount of money in the account grows. t = 10. Using a calculator, raise 1.05^10. You should get the long decimal 1.62889462678. Do not delete it from the calculator. Multiply it by 1,000 to find the new amount. You get 1,628.89462678 or 1,628.89 when rounded to the nearest hundredth. There. Rachel will have $1,628.89 in her bank account after 10 years.
Step-by-step explanation:
can i get brianist
Answer: Divide the whole equation by 5
Step-by-step explanation: You could divide the whole equation by 5 since there are 5 friends. Once you do that you end with the equation 5x - 23, which is what each friend would pay.
Answer:
(4,-8) and (4, 12)
Step-by-step explanation:
The equation of the hyperbola given is:

The general form of this hyperbola would be:

Thus, we can see that:
a^2 = 64
a = 8
and
b^2 = 36
b = 6
The distance from one focus to center is called "c", it goes by formula:

Let's find c:

This is a vertical hyperbola and the center is found from the x and y's on the numerator:
(y-2)^2 means y = 2
(x-4)^2 = x = 4
Center is (4, 2)
We go 10 units vertically up, so from y = 2 , ten units up makes it y = 12
x = 4 and y = 12
(4,12)
We go 10 units vertically down, so from y =2, ten units down makes it y = -8
x = 4 and y = -8
(4, -8)
<u>Foci coordinates:</u>
<u>(4,12) and (4,-8)</u>