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:
The regression line is not a good model because there is a pattern in the residual plot.
Step-by-step explanation:
Given is a residual plot for a data set
The residual plot shows scatter plot of x and y
The plotting of points show that there is not likely to be a linear trend of relation between the two variables. It is more likely to be parabolic or exponential.
Hence the regression line cannot be a good model as they do not approach 0.
Also there is not a pattern of linear trend.
D) The regression line is not a good model because there is a pattern in the residual plot.
108 divided by 9 = 12 x -12 = -144 divided by 6 = -24 - (100 divided by 5) =
-24 - 20 = -44
answer= -44
Answer:
see below
Step-by-step explanation:
7,12,16,20,27,40,56,64
The square numbers are 16 = 4^2 and 64 = 8^2
The difference is 64 - 16 =48
The cube numbers are 27 = 3^3 and 64 = 4^3
64 - 27 =37
