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avanturin [10]
1 year ago
7

The owner of a ski resort estimates that a new 4-person ski lift will cost $5,500,000. The owner begins making payments on March

1 and every three months thereafter for 5 years into an
account that earns 4% annual Interest compounded quarterly. What payment amount must the owner make to have the cost of the ski lift in 5 years?
Mathematics
1 answer:
disa [49]1 year ago
7 0

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)^{nt}

P =5,500,000

r =4%= 0.004

n =4

t= 5 years.

Now,

A = P(1 + r/n)^{nt}

A = 5,500,000.00(1 + 0.04/4)^{(4)(5)}

A = 5,500,000.00(1 + 0.01)^{20}

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

#SPJ1

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From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha
Ede4ka [16]

Answer:

D. 2/7

Step-by-step explanation:

The probability is calculate as a division between the number of ways in which Andrew will be selected and karen will not and the total ways in which they can select 4 people from a group of 8 volunteers.

The number of ways in which they can select 4 people from a group of 8 volunteers can be calculated using:

nCk=\frac{n!}{k!(n-k)!}

Where nCk give as the number of ways in which we can form groups of k elements from a group of n elements.

So, if we replace n by 8 and k by 4, we get:

8C4=\frac{8!}{4!(8-4)!}=70

Then, there are 70 ways to select 4 people from a group of 8 volunteers.

At the same way, the number of ways in which Andrew will be selected and karen will not can be calculate replacing n by 6 and k by 3 in the same equation as:

6C3=\frac{6!}{3!(6-3)!}=20

We replace n by 6 because from the 8 volunteers, Andrew is going to be selected and Karen will not, so, the people that affect the result are just the 6 remaining volunteers. Also, k is equal to 3 because Andrew is already selected and we just need to select 3 more people.

Finally, the probability is:

P=\frac{20}{70} = \frac{2}{7}

4 0
2 years ago
A pet store has 150
trasher [3.6K]

Answer:

60

Step-by-step explanation:

hope this helps loves x

4 0
2 years ago
*Please Help* (There are more than 2 answers!)
GalinKa [24]
Look like both B and D are correct answers. because 23*400=9200 and 26*400=10400
4 0
3 years ago
Read 2 more answers
(2 x 10^4) + (7 X 10^4) =
Lisa [10]
Quick what does ^ mean I can solve that but I need to know what ^ means.
5 0
3 years ago
Read 2 more answers
Factorize (X + 2 y)square - (2 x minus y) square​
gulaghasi [49]

Answer:

- (x - 3y)(3x + y)

Step-by-step explanation:

Given

(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL

= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute

= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms

= - 3x² + 8xy + 3y² ← factor out - 1 from each term

= - 1(3x² - 8xy - 3y²) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.

product = 3 × - 3 = - 9 and sum = - 8

The factors are - 9 and + 1

Use these factors to split the xy- term

3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )

= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term

= (x - 3y)(3x + y)

Thus

(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)

3 0
3 years ago
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