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Olin [163]
3 years ago
14

25 POINTS!!! Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He

reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)x−1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.
Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

Answer:

Total amount after interest is $364

Step-by-step explanation:

...

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Problem 1: two numbers add together equals 47. their difference is 13. write and solve a system to find the two numbers
mr Goodwill [35]

Answer:

34+13= 47


Step-by-step explanation:

47-34=13

8 0
3 years ago
The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?
tensa zangetsu [6.8K]

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

3 0
2 years ago
Which point is on the circle centered at the origin with a radius of 5 units?
Aleonysh [2.5K]

Answer:

(2,√21)

Step-by-step explanation:

The circle centered at the origin has equation:

{x}^{2}  +  {y}^{2}  = 25

Any point that satisfies this equation lie on this circle.

When x=2, we substitute and solve for y.

{2}^{2}  +  {y}^{2}  = 25 \\ 4 +  {y}^{2}  = 25 \\  {y}^{2}  = 25 - 4 \\ {y}^{2}  = 21

Take square root to get:

y =  \pm \sqrt{21}

Therefore (2,-√21) and (2,√21) are on this circle.

From the options, (2,√21) is the correct answer

3 0
3 years ago
Read 2 more answers
The distance between the points (1,2) and (x,-1) is 5 units. Find the possible values of x​
Mariulka [41]

Answer:

-3,5

Step-by-step explanation:

d =  \sqrt{(x _{2}  - x _1)  {}^{2} + (y _{2} - y _{1} {} ) {}^{2}  }

5 =  \sqrt{(x - 1) {}^{2} + ( - 1 - 2) {}^{2}  }

5 =  \sqrt{(x - 1) {}^{2} + ( - 3) {}^{2}  }

25 = (x - 1) {}^{2}  + 9

16 = (x - 1) {}^{2}

4 = x - 1

x = 5

Or

- 4 = x - 1

x =  - 3

7 0
2 years ago
4a^2-9(x+y)^2 factories this step by step pls. Anyone !! Help me pls!!​
xxTIMURxx [149]
  • Answer:

<em>(2a - 3x - 3y)(2a + 3x + 3y)</em>

  • Step-by-step explanation:

<em>Hi there !</em>

use formula

<em>a</em><em>² - </em><em>b</em><em>² = (a - b)(a + b)</em>

<em>a</em><em> = 2a</em>

<em>b</em><em> = 3(x + y)</em>

<em />

<em>4a² - 9(x+y)² =</em>

<em>= [2a - 3(x + y)][2a + 3(x + y)]</em>

<em>= (2a - 3x - 3y)(2a + 3x + 3y)</em>

<em />

<em>Good luck !</em>

5 0
3 years ago
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