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pshichka [43]
3 years ago
11

You earn $11 per hour delivering pizzas. you also work part-time at a convenience store where you earn $9 per hour. you want to

earn at least $150 per week, but you can only work 25 hours per week. how many hours can you work at each job?
Mathematics
1 answer:
scoundrel [369]3 years ago
7 0
We will traduce the sentences into equations. 
Let x be the number of hours in the first job, and y be the number of hours in the second job. 
Then the equations are:
x+y\leq25\\11x+9y\geq 150

The above system has many solution, we can select for example:
x = 1, y = 16. So we can work one hour at the first job and 16 hour at the second job. 
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Answer:

13π/4 , 21π/4, -3π/4, -11π/4

Step-by-step explanation:

Coterminal Angles are angles which share the same initial side and terminal sides.

To find coterminal angles, simply add or subtract 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.

5π/4 =(4π/4)+(π/4)

Our Angle 5π/4 is in the 3rd quadrant and exceeds π radians by (π/4) radians, or 45° angular measure.

The 2 positive co-terminal angles would be:

Adding 2π

5π/4 + 2π = 13π/4

Adding another 2π

5π/4 + 2π +2π = 21π/4

The two negative co-terminal angles would be:

Subtracting 2π

5π/4 - 2π = -3π/4

Subtracting another 2π

5π/4 - 2π -2π = -11π/4

The coterminal angles are:

13π/4 , 21π/4, -3π/4, -11π/4

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3 years ago
Which shows a list of the first six prime numbers?
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Answer:

Step-by-step explanation:

the fourth option shows a list of the first 6 prime numbers

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Jim saw that other bank offered the same rates but compounded the interest more often. Consider if he still put $15,000 into a s
Kazeer [188]

Compound interest is the addition of interest on the interest of the principal amount.

<h3>What is compound interest?</h3>

Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,

A = P(1+ \dfrac{r}{n})^{nt}

As it is given that the principal amount is $15,000; while the rate of interest is 2.8%, and the amount is invested for a period of 5 years.

A.) When the interest is charged weekly,

As we know that there are 52 weeks in a year, therefore, n = 52, substitute the values,

A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{52})^{52 \times 5}\\\\A = \$17,253.46

B.) When the interest is charged daily,

As we know that there are 365 days in a year, therefore, n = 365, substitute the values,

A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{365})^{365 \times 5}\\\\A = \$19,554.55

C.) When the interest is charged Continuously,

As we know that the formula for continuous compounding is given as,

A = Pe^{rt}

Substitute the values, we will get,

A = 15000 \times (e^{0.024 \times 5})\\\\A= \$16,912.45

D.) When the interest is charged Monthly,

As we know that there are 12 months in a year, therefore, n = 12, substitute the values,

A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{12})^{12\times 5}\\\\A = \$15211.23

E.) When the interest is charged Semi-annually,

As we know that the interest is charged Semi-annually, therefore, n = 2, substitute the values,

A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{2})^{2\times 5}\\\\A = \$17,237.36

F.) When the interest is charged Quarterly,

As we know that the interest is charged Quarterly, therefore, n = 4, substitute the values,

A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{4})^{4\times 5}\\\\A = \$17,245.7

Learn more about Compound Interest:

brainly.com/question/25857212

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what is 2 1/2 divided by 2 1/6

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