Answer: C is your answer.
Step-by-step explanation:
Answer:
$3628.24
Step-by-step explanation:
we use the formula for accrued value (A) with compounded interest:

where A= accrued value (principal plus the accumulated interest)
P = principal -> in our case $6000
r = annual interest rate (in decimal form) -> in our case 0.06
n = number of compoundings per year. In our case 2 (semiannually)
t = time in years -> in our case 8

Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:
$9628.24 - $6000 = $3628.24
Answer:
18+57= 75
Step-by-step explanation:
Next time use a calculator chuckle nuts
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
Answer:
b 432m
Step-by-step explanation:
A triangular prism has a height of 9 meters and a triangular base with the following dimensions
What is the volume of the prism?
Answers: 420m, 432m, 288m 324m