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Orlov [11]
3 years ago
15

The Rule of 72 is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By

dividing 72 by the annual rate of return, investors obtain a rough estimate of how many years it will take for the initial investment to duplicate itself. You want to double your initial investment of $5,000. You put your money in a high yield interest-bearing account earning 6% per year. How long will it take to double your money?
Mathematics
1 answer:
Verdich [7]3 years ago
7 0

Answer: 12 years

Step-by-step explanation:

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1. Find the 90% Cl for the population mean if sample
Elden [556K]

Answer:

The answer is below

Step-by-step explanation:

1)

mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65

Given that the confidence level (c) = 90% = 0.9

α = 1 - c = 0.1

α/2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47

The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)

2)

mean (μ) = 23, SD(σ) = 12, sample size (n) = 45

Given that the confidence level (c) = 88% = 0.88

α = 1 - c = 0.12

α/2 = 0.06

The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)

8 0
3 years ago
A bus makes a stop 2:30 letting off 13 people and lettng on 8. The bus makes another stop ten minutes later to let off 3 more pe
Zigmanuir [339]

Answer:

The number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.

Step-by-step explanation:

Let P_0 be the total number of peoples on the bus before 2:30 stop.

For the first stop at 2:30:

The bus let off 13 people, so, the total number of remaining people on the bus = P_0-13

again, the bus let on 8 people,  so, the total number of people on the bus

= P_0-13+8

=P_0-5

For the second stop after 10 minutes (i.e at 2:40):

The bus let off 3 people, so, the total number of remaining people on the bus = P_0-5-3

=P_0-8

After the second stop, the number of people on the bus is P_0-8, where P_0 number of peoples on the bus before 2:30 stop.

Hence, the number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.

4 0
3 years ago
Aaron needs to hire a waiter. Waiter A is offering his services for an
Maru [420]

Answer:

In 4 Hours

Step-by-step explanation:

1 hour:   A: 30.25           B: 34.25

2 hours: A: 35.5             B: 38.5

3 Hours: A: 40.75          B: 42.75

4 Hours: A: 46                B: 46

7 0
3 years ago
Points A, B, and C are midpoints of the sides of right triangle DEF. Triangle A B C is inside triangle D E F. Point A is the mid
Paha777 [63]

Answer:

F,D

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Pls help I don’t understand what the problem is asking
ruslelena [56]
It A 4 inches I think.
8 0
3 years ago
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