Answer: $525
Step-by-step explanation:
The formula for Simple interest is calculated as PRT where
P = Principal = $7500
R = Rate = 3.5%
T = Time = 2 years
Interest = PRT
= 7500 × 3.5% × 2
= 7500 × 0.035 × 2
= $525
I believe the answer is C
Kindly note that the question says 4; maybe the final question was intended to be the probability that he gets exactly 2 of the 4 correct. However. If it is the other way round. This a e procedure used in the solution should also be followed.
Answer:
0.21
Step-by-step explanation:
Number of options = 4
One correct answer per option ; hence, the probability of success, p = 1/4 = 0.25
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
x = 2 ; n = 4
p = 0.25 ; 1 - p = 0.75
P(x = 2) = 4C2 * 0.25^2 * 0.75^2
P(x = 2) = 6 * 0.0625 * 0.5625
P(x = 2) = 0.2109375
P(x = 2) = 0.21 (2 decimal places)
Note : if the question was 3, then put, n = 3 instead of 4
Surface area of a cylinder = 2 x Pi x r^2 + 2 x Pi x r x h
R = 27 cm
H = 37 cm
Take away the Pi seeing as you want to keep it in terms of Pi
2 x 27^2 + 2 x 27 x 37 = 3456 Pi cm^2
Your answer is B
Answer:
The system of equations has no solutions
Explanation:
Given the system of equations:
3x - 9y + 9z = 44 ..........................................................(1)
2x + 6y - 5z = -18 ..........................................................(2)
x - 3y + 3z = 14 ...............................................................(3)
Solving by elimination, multiply (3) by 2
2x - 6y + 6z = 28 ............................................................(4)
Subtract (2) from (4)
-12y + 11z = 46 .................................................................(5)
Multiply (3) by 3
3x - 9y + 9z = 42 ............................................................(6)
Subtract (6) from (1)
0x + 0y + 0z = 30
This is impossible, and we conclude that the equation has no existing solutions
