Answer:
Option b
Step-by-step explanation:
We have a compound interest problem. With an annual interest rate of 0.675 and an initial payment of 8500, with t = 25 years
Then you must use the annual compound interest formula, which is represented by a growing exponential function:

Where:
h is the interest rate of 0.675
y is the money in the savings account as a function of time
Then substitute the values in the formula and we have:


Answer: 3:5
Step-by-step explanation:
33x-54y=6x+6y-3x-10y
33x-54y=3x-4y
30x=50y
3x=5y
Answer:
(x+1)^2 + (y-7)^2 = 2^2
Step-by-step explanation:
The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2
You would flip the signs of the center so that when you solve the equation it ends up in the correct place.
Answer:
Step-by-step explanation:
A triangular prism is a prism that has two triangular faces and three rectangular sides.
The area of the rectangular sides is A = lbh
A = area, l = length, and h = height.
The area of the triangular faces is A = 1/2bh
A = area, b = base, and h = height.
Answer:
P(T) = 1/20 = 0.05
The probability of randomly selecting an umbrella and a shaving kit in that order is 0.05
Step-by-step explanation:
The probability of randomly selecting an umbrella and a shaving kit in that order.
P(T) = Probability of selecting umbrella first P(U) × probability of selecting shaving kit second P(S)
P(U) = 1/5 (1 umbrella out of five possible gifts)
P(S) = 1/4 (1 shaving kit out of four remaining possible gifts)
P(T) = 1/5 × 1/4
P(T) = 1/20 = 0.05