The formula we use for continuous compounding is
where P is the initial amount invested, r is the rate as a decimal, and t is time in years. Our P = 1300, our r = .042, and our t = 5.75 (9 months is 3/4 of a year, and 3/4 in a decimal is .75). Putting all that into our formula we have
. We have to multiply those 2 powers together and then raise euler's number to it, then multiply by 1300. Doing all of that, we get the amount at the end to be $1,655.10
Answer:
135°
Step-by-step explanation:
The reference angle appears to be about 45°, so a reasonable estimate of the angle size is 180° -45° = 135°.
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You can do an eyeball comparison with the figure attached to see that the angle is about 135°
This is also the value I see when I place my protractor against the screen.
The last one is the only one that will work.
For the first one the y intercept is when x = 0. The point would be 0,4
The second one gives a point of (4,0)
The third one is nonsense. (4,4) is not on this line.
Answer:
B
Step-by-step explanation:
Substitute x = h + 2 into f(x), that is
f(h + 2)
= 4(h + 2)² - 17 ← expand factor using FOIL
= 4(h² + 4h + 4) - 17 ← distribute parenthesis and simplify
= 4h² + 16h + 16 - 17
= 4h² + 16h - 1 → B
