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Ira Lisetskai [31]
2 years ago
15

Alexis invests $475 in a bank account that earns 1.25% interest compounded annually. Which function models the growth of her inv

estment over x years?
Mathematics
1 answer:
olchik [2.2K]2 years ago
8 0
Answer: The function that modes this situation would be: y = 475(1 + .0125)^x.

This is an example of an exponential equation. These equations are always in the form y = ab^x.

The a value is the starting value. The b value is the interest rate. The x value is the number of years.

The only thing to be careful about is the rate. We are adding 1.25% or 0.125. Make sure that you are adding 1 whole to the 1.25% and don't just use 0.125.
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RESTAURANT MANAGEMENT
yan [13]

Answer:

33%

Step-by-step explanation:

3 0
1 year ago
The weights of certain machine components are normally distributed with a mean of 8.01 g and a standard deviation of 0.06 g. Fin
Free_Kalibri [48]

Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.03

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 8.01}{0.06})=0.03  

= 1 -P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.03  

=P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.97  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = 1.881\\\\x = 8.12  

Thus, 8.17 g separates the top 3% of the weights.

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 8.01}{0.06})=0.03  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = -1.881\\\\x = 7.90  

Thus, 7.90 separates the bottom 3% of the weights.

Thus, the correct answer is

Option D) 7.90 g and 8.12 g

7 0
2 years ago
The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles
Ksju [112]

9514 1404 393

Answer:

  96 cubic feet

Step-by-step explanation:

A volume that is 16 ft by 18 ft by 1/3 ft will be ...

  V = LWH

  V = (16 ft)(18 ft)(1/3 ft) = 96 ft³

96 cubic feet of concrete are needed.

7 0
2 years ago
41 packages are randomly selected from packages received by a parcel service. the sample has a mean weight of 20.6 pounds and a
lina2011 [118]
Using normal distribution \alpha = 1-0.95=0.05
critical probability p^{*} = 1 -  \frac{ \alpha }{2}
critical value for the critical probability is CV = 1.96
standard error SE =  \frac{3.2}{ \sqrt{41} } = 0.5
margin of error = CV*SE = 1.96 * 0.5 = 0.98
95% confidence interval is between μ + 0.98 and <span>μ - 0.98, which is (19.62, 21.58)</span>
6 0
1 year ago
This week, Michael collected $468 for delivering newspapers. He had 40 repeat customers and 18 new ones. As an incentive, he cha
loris [4]
468=40x+18(x-3)
468=40x+18x-54
468=58x-54
522=58x
9=x
I'm not sure if you need to know x at all, if not, the top equation is all you need.
7 0
1 year ago
Read 2 more answers
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