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
Assuming the 10 represents the circumference of the circle (not really clear in the pic) then the area of the circle is found by this equation:
Area=c^2/4pi
(C being circumference, the ^2 meaning squared, and pi of course being the infinite number found by Archimedes, but normally calculated as 3.14 or 3.14)
Using that equation (substitute the C for the 10) you get 7.9577
Round this off to about 7.96, or 8. Your choice.
~Hope this helps!
Answer:
<2 and <6 are complementary angles
Step-by-step explanation:
<2 and <3 are complementary angles since they add to 90
<3 and <6 are vertical angles so they are equal
<3 = <6
Replace <3 with <6
<2 and <6 are complementary angles
You would have to pour 48 ounces total between all 6 glasses.
Hope this helps!
