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jeyben [28]
3 years ago
15

4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0

Answer:

Answer:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

Step-by-step explanation:

A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.

B) When we plug 21 into the equation,  we get 106260.

I hope this helps!

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Just subtract the two numbers and the answer is 3.83 inches
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Vedmedyk [2.9K]
AngleA= angle D
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5x=85
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2 years ago
(3 marks) A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year. The battery live
Ksenya-84 [330]

Answer:

0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year

This means that \mu = 3, \sigma = 0.5

What is the probability that a given battery will last between 2.3 and 3.6 years?

This is the p-value of Z when X = 3.6 subtracted by the p-value of Z when X = 2.3. So

X = 3.6

Z = \frac{X - \mu}{\sigma}

Z = \frac{3.6 - 3}{0.5}

Z = 1.2

Z = 1.2 has a p-value of 0.8849

X = 2.3

Z = \frac{X - \mu}{\sigma}

Z = \frac{2.3 - 3}{0.5}

Z = -1.4

Z = -1.4 has a p-value of 0.0808

0.8849 - 0.0808 = 0.8041

0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

4 0
2 years ago
Which of the following are equivalent to 140%?<br><br> 0.14<br> 5/7<br> 1 2/5<br> 1.4
Alika [10]
1.4

To make a percent a decimal, divide it by 100.

140 ÷ 100

= 1.4


♧
5 0
3 years ago
ΔJKL is dilated about the origin with a scale factor of 2/3. Which of the following is the image point of K(6,12)?
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Answer: (4,8) which is choice A

f = 2/3 is the scale factor

x = 6 and y = 12 pair up to get the coordinates for point K's location

multiply f by x and y to get the new location

f*x = (2/3)*6 = (2/3)*(6/1) = (2*6)/(3*1) = 12/3 = 4

f*y = (2/3)*12 = (2/3)*(12/1) = (2*12)/(3*1) = 24/3 = 8

The results we get are 4 and 8. So (6,12) moves to (4,8)

This scale factor 2/3 = 0.667 is less than 1, so the image is smaller compared to the pre-image.

8 0
3 years ago
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