Answer:
x = 12
Step-by-step explanation:
The midsegment VY is half the sum of the parallel bases , that is
VY = , then
3x + 18 = (x + 96) ← multiply both sides by 2 to clear the fraction
6x + 36 = x + 96 ( subtract x from both sides )
5x + 36 = 96 ( subtract 36 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Answer:
1190
Step-by-step explanation:
Here, you need to add the squares of the measurements.
20² + 10² + 13² + 11² + 20² =
= 400 + 100 + 169 + 121 + 400
= 1190
Start with volume equation for sphere
Take derivative with respect to time (Implicit differentiation)
Sub in rate for Volume of 100 and given radius of 5, solve for dr/dt
Finally we have to relate this to rate diameter is changing.
D = 2r
Final Answer:
Diameter is increasing at a rate of 2/pi cm/sec
So Colin is required to pay $300 for 15 total months in order to get his credit card balance down to $0.
In order to find this total, we need to take the amount he is going to pay per month ($300) and multiply is by the total number of months that he is going to be paying that amount (15):
$300 * 15 months = $4,500
The total amount of money that he is going to pay after his card balance reaches $0 is $4,500.
However, Colin only maxed out his credit card to $4,000 - the rest of the money is due to interest. So to find this amount, we take the total amount that he paid ($4,500) and subtract it from the total amount he initially maxed out his card with ($4,000):
$4,500 - $4,000 = $500
The amount of interest that Colin has paid when his credit card balance is $0 is $500.