Answer:
110
Step-by-step explanation:
4 x ( 3+ 52) ÷ 2
4 x 55 ÷ 2
220 ÷ 2 = 110
Answer:
$1136.60
Step-by-step explanation:
The formula for exponential growth is f(x) = a(1 + r)^x where a is the initial value, r is the growth rate, and x is the number of time intervals.
We know that Mr. Paris starts with an $1800 initial value, so we can substitute that into the equation:
f(x)=1800(1 + r)^x
We also know the time intervals is 6 months. So that can be substituted as well:
f(x)=1800(1 + r)^6
They told you that the growth rate is 8.5%, which is 0.085 of 1.
f(x)=1800(1 + 0.085)^6
Add the 2 values in the parentheses and you get 1.085
f(x)=1800(1.085)^6
Now solve.
Order of operations requires you to raise 1.085 to the 6th power before multiplying by 1800. So then you have this:
1800(1.63146751) = 2936.64152. That rounds to 2936.60
So $2936.60 is the total amount of money in the bank account, but were looking for the interest earned, which is the difference between the end value and the initial value.
$2936.60 - $1800 = $1136.60
Answer:
Step-by-step explanation:
3/x=5/7 is the same as A 21=5x Both equal to 21/5 or 4 1/5
Answer:
<em>1885.5 m^3 of water</em>
<em></em>
Step-by-step explanation:
I'll assume this is the complete question
<em>Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14
</em>
<u><em>The pool forms</em></u><em> a cylinder with a radius of 12 feet and a height of 4.5 feet.</em>
<em></em>
height of pool = 4.5 ft
radius of pool
= 12 ft
height of water is 4 inches below pool top
<em>12 inches make 1 ft</em>
4 inches = 4/12 ft = 0.33 ft
Therefore, height of water = 4.5 - 0.33 = 4.17 ft
<em>volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed</em>
volume of cylinder formed by the water = volume of water = π
h
volume = 3.14 x x 4.17 = <em>1885.5 m^3 of water</em>
