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Gennadij [26K]
3 years ago
5

Answer each of the following questions.

Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Answer:

  $13,045.68

Step-by-step explanation:

The future value of an annuity is given by the formula ...

  A = P((1 +r/n)^(nt)-1)/(r/n)

where r is the annual interest rate, n is the number of times it is compounded per year, and t is the number of years.

Filling in the given numbers, we have ...

  A = $200((1+.05/4)^(4*12) -1)/(.05/4) ≈ $13,045.68

After 12 years, the accumulated value is $13,045.68.

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A pile of newspaper was 17 3/4 inches high. Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inc
Murljashka [212]

Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches

Step-by-step explanation:

Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 17 3/4= 71/4 inches

d = 103/12 inches

n = 3 weeks

the height in inches, of the pile after 3 weeks, T3. Therefore,

T3 = 71/4 + (3 - 1)103/12

T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6

T3 = 419/12 inches = 34 11/12 inches

7 0
3 years ago
Plz help I needs its
LenKa [72]
B. The measure of angle w is the same as the measure of angel z
3 0
3 years ago
6+3(x+4)=24. solve the following equation please ​
Evgen [1.6K]

Answer:

The answer to this equation will be 2 for x

Step-by-step explanation:

Hope this Helped

6 0
3 years ago
Read 2 more answers
Plz help duke for 10 points
BaLLatris [955]

Answer

A) 2(4+5)

2(9)

18

B) 2(10+2)

2(12)

24

C) 4*5

20

D) 10*2

20

7 0
3 years ago
Can someone help me with this question?
arlik [135]

Try this solution:

1. m∠A=m∠L; m∠B=m∠M and m∠C=m∠N;

2. m∠B=m∠M=35° and m∠C=m∠N=95°;

3. m∠A=m∠L=180°-(m∠B+m∠C)=180-35-95=50°

answer: 50°

5 0
3 years ago
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