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Leto [7]
2 years ago
5

By use of technology, we investigated Mary’s investment and created the model, M(x) = 3.03(1.28)2x, in thousands of dollars. Wha

t was Mary’s initial investment? $4.96 $3,030 $4,960 $3.03
Mathematics
1 answer:
Vinvika [58]2 years ago
7 0

Using an exponential function, it is found that Mary's initial investment was of $3,030.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

y = ab^x.

In which:

  • a is the initial value.
  • b is the rate of change.

Her investment model, in thousands of dollars, is:

M(x) = 3.03(1.28)^{2x}

Then a = 3.03, since we measure the amount in thousands of dollars, Mary's initial investment was of $3,030.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

You might be interested in
Here are the graphs of L(x) and R(x) what are the values of L(2) and R(2)
Sedaia [141]

Using the function graph given, it is found that:

  • L(2) = 7.
  • R(2) = 1.

When a piece-wise function is given, that is, a function that has <em>multiple definitions</em>, the numeric value at x when the definition changes is given by the closed circle.

  • For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.
  • For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.

To learn more about the use of graphs to analyze a function, you can take a look at brainly.com/question/21447009

3 0
2 years ago
Consider testing H^0: u=20 against H^a: u&lt;20 where u is the mean number of latex gloves used per week by all hospital employe
iragen [17]

Answer:

Part a: P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=46-1=45  

Since is a one sided test the p value would be:  

p_v =P(t_{(45)}  

Part b: Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, and we can conclude that the true mean is not lower than 20 at 1% of signficance.  

a. There is insufficient evidence to reject h^0

Step-by-step explanation:

Data given and notation  

\bar X=19.1 represent the sample mean

s=11.8 represent the sample standard deviation

n=46 sample size  

\mu_o =20 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is lower than 20, the system of hypothesis would be:  

Null hypothesis:\mu \geq 20  

Alternative hypothesis:\mu < 20  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{19.1-20}{\frac{11.8}{\sqrt{46}}}=-0.517    

Part a: P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=46-1=45  

Since is a one sided test the p value would be:  

p_v =P(t_{(45)}  

Part b: Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, and we can conclude that the true mean is not lower than 20 at 1% of signficance.  

a. There is insufficient evidence to reject h^0

5 0
3 years ago
Three equal ratios to 6/7
Rashid [163]
12/14 , 18/21 , 24/28
4 0
3 years ago
Read 2 more answers
How do you find the perimeter and area of this shape?
mixas84 [53]

 

P = 12 + 6 + 8,5 = 18 + 8,5 = 26,5 mm

A = 12 × 4 / 2 = 48 / 2 = 24 mm²



6 0
3 years ago
In the following expression, n is a rational number: Which expression below is equivalent to this expression?
gogolik [260]

Answer:

none of them

Step-by-step explanation:

7 0
1 year ago
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