Answer:
k=7
Step-by-step explanation:
4+k=11
subtract 4 from both sides to isolate k
k= 7
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:

Step-by-step explanation:
We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is
where we substitute a point (x,y) for
.
We have m=3/4 and (4, 1). We input m and
.

We now simplify the parenthesis and solve for y.

We convert -4 into a fraction with 1 as the denominator.

We add 1 to both sides to isolate y,

This is slope intercept form. The line as slope 3/4 and y-intercept (0,2) or b=2.
Answer:
It should take about 4.75 min.
Step-by-step explanation:
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