Answer:
First, plot the y-intercept. The y-intercept is 1, so plot the point (0,1).
Then go up 2 points and to the right 3 points and plot a point there. (3,3)
We go to the right because the slope is positive.
Draw a line through the two points.
Step-by-step explanation:
y = mx+b
m = slope
b = y-intercept
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.
Answer:
Step-by-step explanation:
Salary offered to Emily after college = $35000
Rise in her salary = $2000 every year
Let she works for x years in the company,
Salary rise in her salary = $2000x
Total salary after x years = $(35000 + 2000x)
The independent variable x represents NUMBER OF YEARS and dependent variable is the TOTAL SALARY,because the SALARY depends on the NUMBER OF YEARS WORKED.
A function these variables is C(x) = 35000 + 2000x
So, C(4) = 35000 + 2000(4) = 43000, meaning 4 years later Emily will earn a salary $43000.
You save $2.98. You can get the same amount from your local store by buying 3 boxes, but it will cost $12.87, and if you wanna buy the same amount from the other store, you can save $2.98, since it is the same amount and costs $9.89. Hope this helps, and good luck!!
Answer:
A. right 2, up 3
Step-by-step explanation:
We have that,
The function is transformed to .
We see that,
The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).
So, the correct transformation is 'right 2, up 3'.
Hence, option A is correct.