Answer:
A(t) = 200+15t(1+0.02)^{t}
Step-by-step explanation:
Since the interest is calculated on the new balance every year.
Hence the formula used for compound interest is:
A = P(1+
^{nt}
where, A =Amount after t years
P =Principal amount
200 is the initial balance and Since, here the $15 is added to the balance each year. Therefore, P = 200+15t
r = rate each year (0.02)
t = time (in years) (t)
n = no. of times the interest is compounded in a year (n=1)
Therefore, the recursive formula is:
A(t) = 200+15t(1+0.02)^{t}
Answer:
B
Step-by-step explanation:
Rewriting in slope-intercept form.
x - 2y = 0
Add -x on both sides.
- 2y = 0 - x
Divide both sides by -2.
y = 0/-2 - x/-2
y = 0 - - 1/2x
y = 0 + 1/2x
y = 1/2x + 0
The slope is 1/2, the y-intercept is at (0, 0).
Answer:
see below
Step-by-step explanation:
7 x 13 (split 13 into 10 + 3)
= 7 x ( 10 + 3) (expand parentheses by distributive property)
= (7 x 10) + (7 x 3)
= 70 + 21
= 91
Answer:
Depends
Step-by-step explanation:
In order to see which annual salary is higher, we must calculate the annual salary of B to compare to A. To do this, if B offers $18.00 an hour for 40 hours a week, that's $720 a week. Now to convert this to annual, multiply the weekly earnings by the 52 weeks in a year. Employer B offers $720 × 52 weeks = $37,440 annually. Assuming you didn't have a typo, $350,000 is $312,560 greater meaning A pays more. If you did have a typo, and meant that Employer A offered $35,000, then Employer B would pay more.
We've all seen circles before. They have this perfectly round shape, which makes them perfect for hoola-hooping!Every circle has a center, which is a point that lies exactly at the... well... center of the circle. A circle is a shape where distance from the center to the edge of the circle is always the same: