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mestny [16]
1 year ago
5

5. Miguel plans on retiring in 16 years, and he wants to double his money by that time. He's contacted various banks, looking fo

r a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the Rule of 72.
Part I: What is the rule of 72? To represent the annual interest rate, use r. ​
Mathematics
1 answer:
777dan777 [17]1 year ago
6 0

The rule of 72 that represents the annual interest rate is defined below , the rate is 4.5% .

In the question ,

it is given that ,

Miguel is planning to retire after 16 years ,

and he wants to double his money ,

The Rule of 72 is a simplified formula , that is used to calculate the time that an investment will take to double the value , based on its rate of return .

By the rule of 72 ,

Number of years that would take an investment to double = 72/(rate of interest )

n = 72/r

given the time is 16 years .

16 = 72/r

r = 72/16

r = 4.5%

Therefore , The rule of 72 that represents the annual interest rate is defined below , the rate is 4.5% .

Learn more about Rule Of 72 here

brainly.com/question/28016427

#SPJ4

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A sample of 10 adult elephants had an average weight of 12,556 pounds. The standard deviation
kirill [66]

Answer:

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 3.25

The margin of error is:

M = T*s = 3.25*25 = 81

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12,556 - 81 = 12,475 pounds

The upper end of the interval is the sample mean added to M. So it is 12,556 + 81 = 12,637 pounds.

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

6 0
3 years ago
What's the solution and answer? And explain please
Advocard [28]
The solution is subtract4.7x on both sides. Then you get -2.2x=7.7. Divide 7.7 by -2.2 and you get x= -3.5
7 0
3 years ago
Nachelle goes out to lunch. The bill, before tax and tip, was $8.10. A sales tax of 4% was added on. Nachelle tipped 17% on the
harina [27]

Step-by-step explanation:

Nachelle goes out to lunch. The bill, before tax and tip, was $8.10. A sales tax of 4% was added on. Nachelle tipped 17% on the amount after the sales tax was added. How much was the sales tax? Round to the nearest cent.

6 0
2 years ago
The equation of a parabola is given. y=34x2−6x+15
SVETLANKA909090 [29]
The x coordinate of the vertex = -b/2a  = -(-6) / 2*34  = 0.08824

y coordinate = 34(0.08824^2 - 6(0.08824) + 15 =  14.735

so its (0.088, 14.735)     correct to 3 decimal places

7 0
3 years ago
Read 2 more answers
Reflections, rotations, and translations are types of transformations. A reflection flips an image, a rotation spins an image, a
Ostrovityanka [42]

Answer:

Hey there!

A "flip" can be considered a reflection.

A "spin" is a rotation.

A "slide" is a translation.

None of these transformations change the way a shape looks, or the size of the shape. They only change how the shape is oriented.

Let me know if this helps :)

4 0
3 years ago
Read 2 more answers
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