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klio [65]
3 years ago
9

During the first week of the year, Angelina's dad give her $10 and says that he will give her $10 more each week for the rest of

the year. At the end of the year, how much money will Angelina receive from her dad? (Hint : 1 year = 52 weeks) Make a table to show the pattern, and explain your answer.
Mathematics
2 answers:
kakasveta [241]3 years ago
6 0
$520. for the table just make 2 columns. one side is 1-52 for each week of the year and the other side will be the total amount for that week. ex: week 1=$10, and week 2=$20, etc.it should be self explanatory by that point.
Vitek1552 [10]3 years ago
5 0
If he gives her 10 and then gonna give her 10 for every week for a year then its 10x52 cause its 52 weeks in a year that answer is 520+10=530
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erma4kov [3.2K]

Answer:

a) y(1) = 2.4 , y(2) = 13.2, b) y(x) = 2.4 + 5.2\cdot (x-1), y(1) = 2.4, y(2) = 7.6

Step-by-step explanation:

a) The values of the output for steady-state operation are:

y(1) = 1 + 1.4\cdot (1)^{3}

y(1) = 2.4

y(2) = 2 + 1.4\cdot (2)^{3}

y(2) = 13.2

b) The formula for linearization is:

y(x) = y(1) +\frac{dy}{dx}|_{x = 1} \cdot (x-1)

The first derivative of the formula evaluated at x = 1 is:

\frac{dy}{dx}|_{x=1} = 1 + 4.2\cdot (1)^{2}

\frac{dy}{dx}|_{x=1} = 5.2

The linearized model is:

y(x) = 2.4 + 5.2\cdot (x-1)

The output at x = 2 is presented below:

y(2) = 2.4 + 5.2\cdot (2-1)

y(2) = 7.6

Linearized model offers reasonable approximations for small intervals.

5 0
3 years ago
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each sale
LenaWriter [7]

Based on the amount that both Salesmen A and B earn per sale, the number of sales they both had was 12 sales.

<h3>How many sales did Salesmen A and B have?</h3>

Sales commission is a key aspect of sales compensation. It's the amount of money a salesperson earns based on the number of sales they have been able to make.

We are told that;

Salesman A gets $65 per sale.

Salesman B gets $300 and $40 per sale.

Assuming the number of sales to take them both to the same amount is x, the relevant formulas would be:

65x = 300 + 40x

Rearranging gives;

65x - 40x = 300

25x = 300

x = 300/25

x = 12 sales

The amount that salesman A earned is = 65 * 12 = $780

The amount that salesman B earned is = 300 + (40 * 12) = $780

Read more about Commission based sales at; brainly.com/question/24951536

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4 0
2 years ago
In one statistics course, students reported studying an average (mean) of 9.92 hours a week, with a standard deviation of 4.54.
quester [9]

Answer:

For the student who is studying 10 hours a week is in the 57.93th percentile.

Step-by-step explanation:

Corresponding z-score for the student who studies 10 hours a week can be calculated by the formula

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from here we find that z=\frac{10-9.92}{4.54}≈0.2

Corresponding percentile for z=0.2 is 57.93

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