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ivanzaharov [21]
3 years ago
15

Round the to the nearest hundredth place 4.7990

Mathematics
2 answers:
bearhunter [10]3 years ago
8 0
4.8 that is the answer.
IgorC [24]3 years ago
7 0

Answer: 4.7990 rounded to the nearest hundredth place is 4.8

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How long would it take for money to double at 11% interest compounded quarterly?
vlada-n [284]

Answer: Approximately 6.3876 years

When rounding to the nearest whole number, this rounds up to 7 years.

===============================================================

Work Shown:

We'll use the compound interest formula

A = P*(1+r/n)^(n*t)

where,

  • A = amount of money after t years
  • P = initial deposit amount or principal
  • r = interest rate in decimal form
  • n = compounding frequency
  • t = number of years

In this case, we know that,

  • A = 2P, since we want the initial amount to double. P can be any positive real number you want and it doesn't affect the answer.
  • r = 0.11
  • n = 4, since we're compounding 4 times a year
  • t = unknown, what we want to solve for

So,

A = P*(1+r/n)^(n*t)

2P = P*(1+r/n)^(n*t)

2 = (1+r/n)^(n*t)

2 = (1+0.11/4)^(4*t)

2 = 1.0275^(4t)

Ln(2) = Ln(1.0275^(4t))

Ln(2) = 4t*Ln(1.0275)

4t*Ln(1.0275) = Ln(2)

t = Ln(2)/(4*Ln(1.0275))

t = 6.38758965414661

It takes roughly 6.3876 years for the deposit to double. If you need this to the nearest whole number, then round up to 7. We don't round to 6 because then we would come up short of the goal of doubling the deposit.

5 0
3 years ago
Please can someone do this for me? thanks alot x
Nimfa-mama [501]

Answer:

<em>Learning Objective</em>: Use the mean and range to <u>compare</u> the spread and averages.

a) Sarah Mean = 70.9, Katie Mean = 78.9

b) Sarah Range = 15, Katie Range = 25

c) Sentences

- The <u>mean</u> shows, on average, Sarah was 8 seconds quicker than Katie.

- The <u>range</u> shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.

Step-by-step explanation:

Given:

Sarah's Data Set:

  • 79, 70, 68, 75, 69, 64, 69, 75, 64, 76

Katie's Data Set:

  • 79, 79, 76, 81, 89, 76, 64, 85, 82, 78

To Find:

  • The mean and range of both data sets separately.

Work:

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is \mu = \frac{{\sum}x}{N}.

The formula for the mean of a sample is \bar{x} = \frac{{\sum}x}{n}.

Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values given above, the solution is: \frac{709}{10} = 70.9

Therefore, the mean of Sarah's data set is 70.9.

For Katie's Data Set, \frac{789}{10} = 78.9.

Therefore, the mean of Katie's data set is 78.9.

To fill in the summary, we have to use the data we just calculated.

That summary can be found in the answer section.

4 0
2 years ago
Read 2 more answers
(48,-30) (61,-45) (74,-60) find the y intercept
sleet_krkn [62]

Answer:

The y-intercept is about  25.385

Step-by-step explanation:

Calculate slope from difference in  y-values divided by difference in x-values.

-15/13 is slope.

Use slope-intercept form.

Y= mx + b

Substitute values from given coordinates for y and x, then solve for b

-60 = -15/13(74) + b

-60 = -85.385 + b

-60 +85.385 = b

25.385 = b

The screenshot atttached shows the graph of this challenging question.

5 0
4 years ago
Harvey can read 17 pages in one hour. In one week, he spent 6 hours reading. How many pages did Harvey read that week?
USPshnik [31]

Answer:

102

Step-by-step explanation:

If he read 17 pages in one hour and spent 6 hours reading then you have to do 17 times 6 which is 102.

3 0
3 years ago
I need help with this math equation?
Licemer1 [7]

Step-by-step explanation:

the answer to your question is 12m

4 0
3 years ago
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