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Readme [11.4K]
2 years ago
7

15,000 invested at a rate of 4.8% compounded monthly. Write a compound interest function to model the situation . Then find the

balance after 2 years.
Mathematics
2 answers:
Soloha48 [4]2 years ago
8 0

Answer 565

Step-by-step explanation:

Norma-Jean [14]2 years ago
8 0

Answer: $46,212.77

Step-by-step explanation: The formula for a compound interest function is A=P(1+r/n)^nt

P=15,000, r=.048, n=1, and t=24. The reason the time is 24 and not 2 is because it is going by months, 2 would just put the answer 2 months ahead and not 2 years. There are 12 months in a year, and 24 months in 2 years. This leads the equation to be: A=15,000(1+.048/1)^(1x24) and the steps to solving it as:

1) A=15,000(1+.048/1)^(1x24) | Add 1 and .048

2) A=15,000(1.048)^24 | Multiply the exponent

3) A=15,000(3.08085162) | Multiply

4) A=46,212.7743 | Round the nearest hundredth

5) A=46,212.77 | Convert to money

6) $46,212.77 | That’s the answer

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Jana opened a savings account with
taurus [48]

Answer:

f(w) = $100 + $15*w

Step-by-step explanation:

The first $100 she deposited remain always the same, they don't change depending on the weeks. What increases along the weeks are the $15.

In the first week she will deposit $15, so she will have $100 + $15 = $115.

On the second week she will deposit $15 more, so she will have $115 + $15 = $130. Another way of writing this is $100 + $15 + $15 = $100 + $15*2.

On the third week she will have $100 + $15 + $15 + $15 = $100 + $15*3.

Therefore, after w weeks, she will have $100 + $15*w.

The function we are looking for is f(w) = $100 + $15*w

6 0
2 years ago
An item cost 50 is marked up 20% off.Sales tax for the item is 8%.What is the final price including tax?
sashaice [31]

$64.80 50+20%+8% tax then you get 64.80

4 0
3 years ago
The cylinder shown has a radius of 3 inches. The height is three times the radius. Find the volume of the cylinder. Round your s
MrRa [10]

Answer:

254.5 Inches Cubed

Step-by-step explanation:

Formula for Finding the Volume of a Cylinder: V=\pi r^2h

The radius is 3 inches.

r=3

The height is three times the radius.

Multiply the radius by three to get the height.

h=3*3\\h=9

The height is 9 inches.

Use the formula to find the volume.

\pi (3)^29= \pi (9)9=81\pi

The exact volume is 81\pi inches cubed.

81 * \pi ≈ 254.47

254.47 ≈ 254.5

The volume of the cylinder should be about 254.5 inches cubed.

3 0
3 years ago
A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television e
ikadub [295]

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

<h3>How to find the z score (z statistic) for the sample mean?</h3>

If we're given that:

  • Sample mean = \overline{x}
  • Sample size = n
  • Population mean = \mu
  • Sample standard deviation = s

Then, we get:

z = \dfrac{\overline{x} - \mu}{s}

If the sample standard deviation is not  given, then we can estimate it(in some cases) by:

s = \dfrac{\sigma}{\sqrt{n}}

where \sigmapopulation standard deviation

For this case, we're specified that:

  • Sample mean = \overline{x} = 2.3
  • Sample size = n = 15
  • Population mean = \mu  = 2.7
  • Population standard deviation = \sigma = 0.4

Thus, the value of the z-statistic is evaluated as:

z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

Learn more about z statistic here:

brainly.com/question/27003351

6 0
2 years ago
I could use a little help with this one. i'm rusty.<br> -3(x+2)-7 = 5x + 7
Pie

Answer:

-3(x+2)-7 = 5x + 7

-3x - 6 - 7 = 5x + 7

-3x - 13 = 5x + 7

-20 = 8x

x = -2.5

7 0
2 years ago
Read 2 more answers
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