At every pi/2 that doesn't result in a whole number value of pi. so 3pi/2, 5pi/2, etc..
Answer:
<em>It will take approximately 34.13 years</em>
Step-by-step explanation:
The function G(t) below represents the amount of money in some account t years after the account is opened for The Johnson's daughter Gabriella:

It's required to find the number of years (t) it will take for the account to reach G(t)=150,000. We need to solve the equation:

Dividing by 63,000 and simplifying:

Taking logarithms:

Applying logarithms property:

Solving for t:


Calculating:


It will take approximately 34.13 years
Answer:
Angle 3 is 113°
Step-by-step explanation:
Angles 2 & 3 is supplementary, so it equals 180°. Subtract 67 from 180 and you get 113. DUH.
Good Luck!!
4 times 3 is 12
2 times 6 is 12
The net amount they raise is the amount they receive minus what they pay in expenses.
They receive:
$10,000 fixed amount in donations
$55 per person
They pay:
$15 per person
If there are x number of entries, they receive 55x from the entries.
Also, they pay 15x for the entries.
The net amount they raise is amount they receive min us amount they pay:
55x + 10,000 - 15x
which simplifies to
40x + 10,0000
They want to raise at least $55,000.
At least $55,000 means $55,000 or more.
They want to raise an amount greater than or equal to $55,000.
Now we write the inequality:
40x + 10,000 >= 55,000
Now we solve the inequality for x, the number of entries.
40x >= 45,000
x >= 1125
They must have 1125 or more race entries to raise $55,000.