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drek231
1 month ago
10

Suppose you deposit $2000 in a bank account that has a doubling time of 19 years. To the nearest $100, what will your balance be

after 5 years?
A. $2400
B. $2500
C. $7600
D. $27,900
Mathematics
2 answers:
lawyer [12.5K]1 month ago
5 0

The expression that represents the balance (b) in relation to the number of years (t) is given as

... b = 2000·2^(t/19)...... the amount increases exponentially and is doubled when t=19

Consequently, when t=5, the balance is

... b = 2000·2^(5/19) ≈ 2400

The correct answer is...

... A. $2400

AnnZ [12.3K]1 month ago
3 0
It is B. 2500 _____________________________
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Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her recta
lawyer [12517]

Answer:

  W=\dfrac{P}{2}-L

Step-by-step explanation:

  P=2L+2W \qquad\text{given}\\\\P-2L=2W \qquad\text{subtract $2L$}\\\\\dfrac{P-2L}{2}=W \qquad\text{divide by 2}\\\\W=\dfrac{P}{2}-L \qquad\text{carry out the division}

The given formula doesn't appear to match any of the answer choices.

  W = (P/2) - L

5 0
21 day ago
Gabriel is designing equally sized horse stalls that are each in the shape of a rectangular prism. Each stall must be 9 feet hig
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The total volume is stated as 1080 cubic feet.

The height is specified to be 9 feet.

The length exceeds the width by 2 feet, meaning Length = x+2

If the stall measures 10 feet in width, then the corresponding length would be 10 +2 = 12 feet.

Calculating the volume yields 10 x 12 x 9 = 1080 cubic feet.


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29 days ago
Read 2 more answers
How do i convert 8.25*10^2 cg to nanograms?
Inessa [12570]
1 cg equals 10^-5 kg
Thus, 8.25 * 10^2 cg converts to 8.25 * 10^-3 kg

1 nanogram is represented as 10^-12 kg
Consequently, 8.25 * 10^-3 kg is equivalent to 8.25 * 10^9 nanograms

As a result, 8.25 * 10^2 cg is equal to 8.25 * 10^9 nanograms.
5 0
1 month ago
A bag contains chips of which 27.5 percent are blue. A random sample of 5 chips will be selected one at a time and with replacem
lawyer [12517]

Answer:

\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=0.1997

Step-by-step explanation:

It is known that the mean and standard deviation of the sampling distribution of the sample proportion(\hat{p}) are represented as follows:-

\mu _{\hat{p}}=p\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}

, where p= Population proportion and n = sample size.

Let p denote the proportion of blue chips.

According to the information provided, we have

p= 0.275

n= 5

Thus, the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 will be:

\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{ 0.275(1- 0.275)}{5}}\\\\=0.19968725547\approx0.1997

Therefore, you will have the mean and standard deviation for the sample proportion of blue chips for samples of size 5:

\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=0.1997

6 0
22 days ago
What is the quadratic regression equation that fits these data?
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Answer:

y = 2.09x^2 + 0.33x + 3.06

Detailed explanation:

4 0
25 days ago
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