Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)
If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.
Substitute from -3≤x≤1 (We get 5 points)
f(-3) = 4^-3
f(-3) = 1/4^3
f(-3) = 1/64 (First point) (-3,1/64)
f(-2) = 4^-2
f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)
f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)
f(0) = 4^0 = 1 (Fourth point) (0, 1)
f(1) = 4^1 = 4 (Fifth point) (1,4)
Answer:
The answer is : $67,266.16
Step-by-step explanation:
This question is a future value question.
As given, Trent puts away 10% of his $32,000 every year and the company will put half amount of $1,600. So, total amount becomes =
each year.
Formula for future value or FV is Fv = Pmt (1 + r/n)^(nt) – 1 / (r/n)
Where, Fv = Future Value , Pmt = repeated payments , R = interest rate ,N = total number of payment periods
Putting the values in the formula,
Fv = 4800 (1 + 0.073/1)^(1x10) – 1 (0.073/1)
Fv = $67266.16
Hence, the answer is $67266.16
Answer:
D-70
Step-by-step explanation:
It is a combination C(8,4)
So, this is -4 * 5 * -1 * -2
this is -20 * 2
total is -40
Hope this helps :)
Answer:
d) The binomial distribution with n = 4 and p = 0.5
Step-by-step explanation:
They re 10 cards consisting of 5 red cards and 5 black cards which are shuffled thoroughly and choosing at random. After choosing the cards are replaced back.
The probability of choosing a red card = number of red cards / total number of cards = 5 / 10 = 0.5
The probability of choosing a black card = number of black cards / total number of cards = 5 / 10 = 0.5
Since after choosing, the cards are replaced back and shuffled making the next draw independent of the previous draw repeated four times. This is a binomial distribution with n = 4 and p = 0.5
