Answer:
Step-by-step explanation:
The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is
Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:
and
Begin by dividing both sides by 4400 to get
The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:
The power rule of natural logs says we can move that exponent down in front, giving us:
Divide both sides by ln(1.075) to get
Do this division on your calculator to get
t = 28.2 years
Answer:
12.5 s
Step-by-step explanation:
If acceleration is constant, speed is proportional to time. To increase the speed by 50 km/h, the car will need an additional time given by ...
t/(50 km/h) = (20 s)/(80 km/h)
t = (20 s)(50/80) . . . . . multiply by 50 km/h
t = 12.5 s
It will take 12.5 more seconds for it to reach a speed of 130 km/h.
Answer:
Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write
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Explanation:
The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.
So that's how I got
(x is between -4 and 5; inclusive of both endpoints)
Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"
Writing
is the set-builder notation way of expressing the domain. The
portion means "x is a real number"
Answer:900
Step-by-step explanation:
900/9=100
100x9=900