Answer:
n = 290
Step-by-step explanation:
Cq = P[(1 + r) ^ (4n) – 1]
- Cq is the quarterly compounded interest (Triple $1000 = <u>$3000</u>)
- P would be the principal amount <u>($1000)</u>
- r is the quarterly compounded rate of interest <u>(0.12%)</u>
- n is the number of periods <u>(Unknown)</u>
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Let's solve!
Cq = P[(1 + r) ^ (4n) – 1]
$3000 = $1000 * [(1 + 0.12%) ^ (4 * n) - 1]
3 = [(1 + 0.12%) ^ (4 * n) - 1]
3 = (1 + 0.12%) ^ (4 * n) - 1
4 = (1 + 0.12%) ^ (4 * n)
4 = (1 + 0.0012) ^ (4 * n)
4 = (1.0012) ^ (4 * n)
4 = (1.0012) ^ (4n)
Take a log to get rid of the n in the exponent
(1.0012) ^ (4n) = 4
log[(1.0012) ^ (4n)] = log(4)
4n * log(1.0012) = log(4)
4n = log(4) / log(1.0012)
4n = 0.60206 / 0.0005208
4n = 1156.02919
n ≈ 289.007297
Since the question asks how long it will take, you will round up, as it won't be fully tripled by 289, only by 290.
To find how many square feet her patch of lawn is, we need to find what the area of the lawn is. To find the area of a rectangle (which is what the patch of lawn is), we need to multiply length and width. The length of this rectangle is 10 feet and the width of this rectangle is 9 feet. To figure out what 10 * 9 is, we need to multiply all parts of 10 (10, and 0) by 9. 10 * 9 = 90, while 0 * 9 = 0. Adding them together, we get that the piece of lawn is 90 square feet.
3(y-2) + 2(y-2) = 5(y-2)
Both terms have the base (y-2), so they can be added together.
3 + 2 = 5
Answer:
Step-by-step explanation:
If a and (b - c^9/a) are both positive or both negatives, the quadratic will be either, always positive or negative.they are not both then, quadratic will be be positive for some values and negative for others.
These are the correct answers I got from my quiz. Hope this helps!
