<span>Answers:
(A) </span>Scale factor = 5/6 or 0.833
(B) Area ratio is 25:36
(C) Volume ratio is 125:216
(D) Volume of smaller pyramid = 9375m^3
<span>Explanation:
A) The formula for the scale factor for pyramids is:
Scale factor = Height of small pyramid/Height of large pyramid
</span>Scale factor <span>= 25/30
</span>Scale factor <span>= 5/6 or 0.833
B) </span><span> The ratio of the area of the base of the smaller pyramid to the larger pyramid = (25)^2/(30)^2 </span><span>
Hence area ratio is 25:36
C) </span><span>Ratio of the volume of the smaller pyramid to the larger = (25)^3/(30)^3
</span><span>
Therefore volume ratio is 125:216
D) Volume of smaller pyramid is 125/216 times the volume of the larger pyramid, from above,
Therefore volume of smaller pyramid=</span>125/216 * 16200 = 9375m^3
Future value of annuity due can be calculated using the following rule:
FVAD = FVOA x (1+r)
where:
FVAD is the future value of annuity due = $25,000
FVOA is future value of ordinary annuity = $24,000
r is the discount rate we want to calculate
Substitute with these givens in the above equation and get r as follows:
<span>$25,000 = $24,000 × (1 + r)
r = 0.0417 which is equivalent to 4.17%
</span>
Answer: b) 4.17%
The relation between these two variables can be represented by the linear equation:
y = 4ft + 2.5ft*x
<h3 /><h3>How to write an equation that represents this relationship?</h3>
We know that the original height of the tree was 4 ft, and it grows 2.5 feet each year.
Then if we define the variables:
y = height.
x = number of years.
The relation between these two variables can be represented by the linear equation:
y = 4ft + 2.5ft*x
This linear equation relates the height of the tree as a function of the number of years since it was planted.
Learn more about linear equations:
brainly.com/question/1884491
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Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021
Answer:
A
explanation:
if you substitute the values into the equation they are all correct.
