Answer:
30.2 aka C
Step-by-step explanation:
The formula for the area of a circle is A = pir^2. Knowing this we can create the equation A = 3.14(3.1)^2. Following PEMDAS square 3.1 to get 9.61. Then you multiply 9.61 with 3.14 to get 30.1754. When you round to the nearest tenth you get 30.2.
100 is the y intercept so its graohed at (0,100)(y-axis) and it goes up every 1/55
Answer:
$7,350.00
Step-by-step explanation:
To find out the total amount of money, you need to know the total amount of tickets sold.
So, find out what 20% of 350 is for the second hour and add it to the 350 from the first hour
350 x 0.20 = 70
350 + 70 = 420 total tickets
now you multiply 420 by the amount of money per ticket in order to know the price for all the tickets in both hours
420 x 17.50 = 7,350 dollars total
Answer:
x = 3
Step-by-step explanation:
In this piece-wise function, there are three defined sections, each for a different range of x. To find an x where y is -9, we have to set all parts of it equal to -9.
-x, x < -3
So, we can start by setting -x equal to -9 and solve for x:
-x = -9
x = 9
Our domain for this piece of the function is supposed to be x < -3. x = 9 does not fit into this range, meaning, in this range, there is no x for y = -9.
2x, -3 ≤ x ≤ -2
We can set the value 2x equal to -9 and, again, solve for x:
2x = -9
x = -4.5
The solution x = -4.5 does not fit into the defined domain of -3 ≤ x ≤ -2, therefore it is not a solution.
-x^2, x > -2
One last time, we can set -x^2 equal to -9 and solve for x:
-x^2 = -9
x^2 = 9
x = 3, x = -3
We are looking for a solution that fits into the domain, x > -2, x = -3 does not work, but x = 3 does.
In conclusion, the only solution where it fit the domain was x = 3
This is a geometric series. The first payment represents the first term, a. The number of times he wants to pay back for subsequent payments represent the common ration, r. The first 30 payments represents the number of terms to use in finding the sum, n.
Hence, a = $ 200, n = 30 and r = 1.2.
The sum of a geometric sequence is given as:
Sn = (a((r^n)-1))/(r-1)
=<span>(200((1.2^30)-1))/(1.2-1)
= $ 236, 376. 31
</span><span>Explain why this series is convergent or divergent.
</span>Since the common ratio, r, is greater than 1, the series is divergent
