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Anestetic [448]

2 years ago

13

Mr. James accepted a new job with a starting annual salary of $32,500. He will receive an annual raise of $1,500 beginning his s

econd year. How much money will Mr. James earn from
his salary for the first four years?

1 answer:

Amanda [17]2 years ago

7 0

Answer:

He will earn $139,000 after 4 years

Step-by-step explanation:

32,500+34,000+35,500+37000= $139,000

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Thus when x = 0

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y = -18

Therefor intersection would be at (0,-18)

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Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation c

-Dominant- [34]

Answer:

$c + h = 5$ and

$0.75c + 1.10h = 4.55$

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

$Cookies + Hot\ Dogs = 5$ --- (1)

And the amount spent can be represented as:

$Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55$ --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

$Cookies + Hot\ Dogs = 5$ implies $c + h = 5$

And

$Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55$

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

$0.75c + 1.10h = 4.55$

Hence, the equations are:

$c + h = 5$ and

$0.75c + 1.10h = 4.55$

Solving for c and h

Make c the subject in $c + h = 5$

$c = 5 - h$

Substitute 5 - h for c in $0.75c + 1.10h = 4.55$

$0.75(5- h) + 1.10h = 4.55$

$3.75- 0.75h + 1.10h = 4.55$

$3.75 +0.35h = 4.55$

Collect Like Terms

$0.35h = 4.55 - 3.75$

$0.35h = 0.8$

Solve for h

$h = 0.8/0.35$

$h = 2.28571428571$

$h =2$ -- approximated

Recall that:

$c = 5 - h$

$c = 5 - 2$

$c =3$

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2 years ago

A sphere has a diameter of 4 x 10^-3 mm. What is the approximate volume of the sphere? Use 3.14 for pi.

kolezko [41]

Answer:

$3.349 \times {10}^{ - 10} \: {mm}^{3}$

Step-by-step explanation:

$d = 4 \times {10}^{ - 3} \: mm \\ r = 2 \times {10}^{ - 3} \: mm \\ V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {(2 \times {10}^{ - 3} )}^{3} \\ = \frac{4}{3} \times 3.14 \times 8\times {10}^{ - 9} \\ = \frac{100.48}{3} \times {10}^{ - 9} \\ = 33.4933333\times {10}^{ - 9} \\ = 33.49 \times {10}^{ - 9} \\ = 3.349 \times {10}^{ - 10} \: {mm}^{3}$

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3 years ago