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>
<u />
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.
Answer:
(a-b) {a raise2+b raise 2 - ab}
Step-by-step explanation:
9514 1404 393
Answer:
a) y = 0 +3x
b) 3; the line rises 3 units for each unit to the right
c) (0, 0); the line crosses the y-axis at y=0
Step-by-step explanation:
a. The y-intercept is the point on the y-axis where the line crosses. That point is (0, 0). The y-coordinate there is the value of b in the equation.
The slope is the ratio ...
m = rise/run
The points marked are separated by 3 units vertically for each 1 unit horizontally. Points on the right are above those on the left, so the "rise" is positive for a positive "run".
m = 3/1 = 3
Then the equation is ...
y = 0 + 3x
__
b. The slope is 3. It is the ratio of rise to run.
__
c. The y-intercept is 0. It is the y-coordinate of the point where the line crosses the y-axis.
Answer:
104:2=52
3*52=156
1) 156/3
2)364/7
7*52=364
Answer:Angles 1 and 3 are vertical angles
Step-by-step explanation:
