Answer:
The value of x is 3.
Step-by-step explanation:
Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.
Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

Both fractions are equal, so:

Applying cross multiplication:



The value of x is 3.
Amount must the owner make to have the cost of the ski lift in 5 years is $6,711,045.22.
<h3>
What is compound interest?</h3>
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
A = P(1 + r/n)
P =5,500,000
r =4%= 0.004
n =4
t= 5 years.
Now,
A = P(1 + r/n)
A = 5,500,000.00(1 + 0.04/4)
A = 5,500,000.00(1 + 0.01)
A = $6,711,045.22
Hence, The total amount accrued is $6,711,045.22.
Learn more about compound interest here:
brainly.com/question/14295570
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Answer:
1.88
Step-by-step explanation:
Answer:
≈ 660.5 in²
Step-by-step explanation:
The surface area (A) of a sphere is calculated using the formula
A = 4πr² ← r is the radius
Given diameter = 14. 5 then radius = 7.25, thus
A = 4π × 7.25² = 4π × 52.5625 ≈ 660.5 in²
Answer:
x ≈ 30.9 (Choice D)
Step-by-step explanation:
We can use cosine for solving this question:
cos (61°) = 15 / x
x = 15 / cos (61°)
x = 30.93998011
x ≈ 30.9 (Choice D)