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Whitepunk [10]
2 years ago
13

PLEASE HELP

Mathematics
1 answer:
Verdich [7]2 years ago
5 0

The time it will take the money to reach $8,838.51 is 14years

<h3>Compound interest</h3>

The formula for calculating compound interest is expressed as:

A = P(1+r)^t

where

P = $6,680

A = $8,838.51?

r = 2% = 0.02

Substitute and calculate the time 't"

8,838.51 = 6680(1+0.02)^t
1.3231 = 1.02^t

t = ln1.3231/ln1.02

t = 14years

Hence the time it will take the money to reach $8,838.51 is 14years

Learn more on compound interest here: brainly.com/question/24924853

#SPJ1

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Put the following statements into order to prove that if 3n+4 is even then n is even. Put N next to the 3 statements that should
Alinara [238K]

Answer: 7, 2, 1, 5, 6, 4, 8

Step-by-step explanation:

1. Then, 3n+4=3(2k+1)+4=6k+7=2(3k+3)+1.

2. By definition of odd, there exists integer k such that n=2k+1.

N 3. Thus, if n is odd then 3n+4 is odd or by contradiction, if 3n+4 is even then n is even, .

4. Therefore, by definition of odd, 3n+4 is odd.

5. Since k is an integer, t =3k+3 is also an integer.

6. Thus, there exists an integer t such that 3n+4=2t+1.

7. Suppose n is odd.

8. Thus, if n is odd then 3n+4 is odd or by contraposition, if 3n+4 is even then n is even, .

N 9. Suppose 3n+4 is even.

N 10. By definition of odd, n=2k+1.

Right order:

7. Suppose n is odd.

2. By definition of odd, there exists integer k such that n = 2k+1.

1. Then, 3n+4 = 3(2k+1)+4 = 6k+7 = 2(3k+3)+1.

5. Since k is an integer, t = 3k+3 is also an integer.

6. Thus, there exists an integer t such that 3n+4 = 2t+1.

4. Therefore, by definition of odd, 3n+4 is odd.

8. Thus, if n is odd then 3n+4 is odd or by contraposition, if 3n+4 is even then n is even.

4 0
4 years ago
What is 9+6(2^2+4) and why?
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Answer:

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second : 9+6×8=57

5 0
4 years ago
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The football team has a total of jerseys. There are ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys
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Answer:

70% are medium-sized jerseys.

Step-by-step explanation:

The complete question is:

The football team has a total of 20 jerseys. There are ​14 medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys? nothing​% are​ medium-sized jerseys.

Solution:

The information provided is:

  • The football team has a total of 20 jerseys.
  • There are ​14 medium-sized jerseys.

Compute the percentage of medium-sized jerseys as follows:

\text{Medium-sized Jerseys}\%=\frac{n(\text{Medium-sized Jerseys})}{N}\times 100

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We have been given that graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.  We are asked to choose the weights, which are within 2 standard deviations of the mean.

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Upon looking at our given choices, we can see that 8.9, 9.5 and 10.4 pounds lie within 2 standard deviation of the mean.

Therefore, 8.9 lbs, 9.5 lbs and 10.4 lbs are correct choices.

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