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Llana [10]
3 years ago
7

What is the amount of a $4,000.00 annuity due at 12 percent compounded semiannually for 3 years?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
3 0

Answer:

$ 5674.076

Step-by-step explanation:

The question is on compound interest

The formulae = A= P(1+ r/n) ^nt .......where P is the principal amount, r is the rate of interest in decimal, n is number of compoundings per year and t is the total number of years.

Given; P= $4,000.00 , r=12/100=0.12, n=2 and t=3

Substituting values in the equation  A= P(1+ r/n) ^nt

A= 4000 ( 1+0.12/2)^2×3

A=4000(1.06)^6

A=$ 5674.08

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A matinee movie ticket costs $6.50 per child. Which equation can be used to calculate the matinee ticket price, M, for n childre
zloy xaker [14]

Answer:

M = 6.50n

Step-by-step explanation:

since it is per child, it will be multiplied by the amount of children, n. Therefore giving us the cost of M, or the equivalent.

5 0
3 years ago
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Box and tail set up for:
Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Assuming that all of the 255 sold seats were filled, then

[tex]\frac{sold}{total} *100\\[percent filled]

(225/260)*100=86.53%

100%-86.53%=13.4%

13.4% of seats are empty!

3 0
3 years ago
A cone has a diameter of 7.5 ft and a height of 4.25 ft. What is the volume of the cone to the nearest tenth? Use 3.14 for π.
lubasha [3.4K]

Answer:

V = ⅓πr²h = ⅓(3.14)(7.5/2)²(4.25) = 62.5546875 ≈ 62.6 ft³

Step-by-step explanation:

4 0
3 years ago
Show all work to identify the asymptotes and state the end behavior of the function f(x)=5x/x-25
Nina [5.8K]

Using the asymptote concept, it is found that:

  • The vertical asymptote is of x = 25.
  • The horizontal asymptote is of y = 5.
  • Considering the horizontal asymptote, it is found that the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}

Considering the denominator, the vertical asymptote is:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5

Hence the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

More can be learned about asymptotes and end behavior at brainly.com/question/28037814

#SPJ1

6 0
2 years ago
What type of polynomial is: 3x+x^2+4 <br>A.quadratic<br> B. quartic<br> C. linear <br>D. cubic
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Answer:

A.quadratic

Step-by-step explanation:

3x+x^2+4

Put in order from largest to smallest power of x

x^2 +3x+4

The highest power is 2

A.quadratic   highest power 2

B. quartic   highest power 4

C. linear  highest power 1

D. cubic highest power 3

3 0
3 years ago
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