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3 years ago

5

You invest $2,800 in an account that pays an interest rate of 6.5% compounded continuously calculate the balance of your account

after 12 years. Round your answer to the nearest hundredth

1 answer:

Fiesta28 [93]3 years ago

4 0

Step-by-step explanation:

I=PRT/100

I=2800x6.5x12/100

I=218400/100

I=$2184

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ccording to the U.S. National Weather Service, at any given moment of any day, approximately 1000 thunderstorms are occurring wo

viva [34]

Answer:

The critical value of <em>z</em> for 99% confidence interval is 2.5760.

The 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

Step-by-step explanation:

Let <em>X</em> = number of lightning strikes on each day.

A random sample of <em>n</em> = 23 days is selected to observe the number of lightning strikes on each day.

The random variable <em>X</em> has a sample mean of, $\bar x=8.1\ mn$ and the population standard deviation, $\sigma=0.51\ mn$ .

The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:

$CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Compute the critical value of <em>z</em> for 99% confidence interval is:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.5760$

*Use a <em>z</em>-table.

The critical value of <em>z</em> for 99% confidence interval is 2.5760.

Compute the 99% confidence interval for population mean number of lightning strike as follows:

$CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\=8.1\pm2.5760\times\frac{0.51}{\sqrt{23}}\\=8.1\pm0.2738\\=(7.8262, 8.3738)\\\approx(7.83, 8.37)$

Thus, the 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

The 99% confidence interval for population mean number of lightning strike implies that the true mean number of lightning strikes lies in the interval (7.83 mn, 8.37 mn) with 0.99 probability.

3 0

3 years ago

Two vertical angles have measures of 3x and x+50. The x= Select one: a. 25 b. 50 c. 32.5 d. 10

KIM [24]

Answer:

a. 25

Step-by-step explanation:

Note that the specifically state that they are vertical angles. This means that the two measurements should equal each other. Set the two expressions equal to each other, and isolate the x. Note the equal sign, what you do to one side, you do to the other:

3x = x + 50

Subtract x from both sides to isolate the x:

3x (-x) = x (-x) + 50

3x - x = 50

2x = 50

Isolate the x, divide 2 from both sides:

(2x)/2 = (50)/2

x = 50/2

x = 25

x = 25, or (a) 25 is your answer.

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8 0

3 years ago

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The bells are adding a new room to their house. The room will be a cube with volume of 5,832 ft^3. They are going to put in hard

gtnhenbr [62]

1620 because 5832 is 18 to the 3rd power which means that because it is a cube 18 to the second power will be able to find the base which 324 ft^2, multiplying that by 5 dollar gets 1,620 dollars

4 0

3 years ago

Geoff charges $27 for 3 hours of swimming lessons. Anne charges $31 for 4 hours. How much more does Geoff charge per hour than A

DochEvi [55]

27 for 3

31 for 4
27 divided by 3 =9

31 divided by 4=7.615

3 0

3 years ago

1/2r + 4= 3/4r - 3/2

ikadub [295]

<span>1/2r + 4= 3/4r - 3/2

1/2 = 2/4
3/2 = 6/4

re-write
2/4r + 4 = 3/4r - 3/4
2/4r - 3/4r = -3/4 - 4
-1/4r = -4 3/4
r = (-4 3/4) / (-1/4)
r =(-4 3/4) * (-4)
r = 76/4
r = 19</span>

7 0

3 years ago

Read 2 more answers