Answer:
n= 5.57 years
Step-by-step explanation:
Giving the following information:
your final balance on an investment of 270$ invested at 10% was $459.00
<u>To calculate the time passed between values, we need to use the following formula:</u>
n= ln(FV/PV) / ln(1+i)
FV= 459
PV= 270
i= 0.1
n= ln(459/270) / ln (1.1)
n= 5.57 years
9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
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<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
The second one they do not have to pass trough (0,0)
(-5/3)•(-6/1)=(30/3)
(30/3) simplified is (10/1)
Answer:
2x - 6 = 4
Step-by-step explanation:
Firstly, let's assume the number is x
Then, twice the number is 2 times x = 2x
6 less than twice the number is four
2x - 6 = 4
2x - 6 + 6 = 4 + 6
2x = 10
2x/2 = 10/2
x = 5