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3 years ago

11

A university hired you as a lab assistant after you graduated. Your starting salary is $41,500 and your salary will increase by

$1,700 every year. How much will you be making at the start of your 15th year?

1 answer:

VladimirAG [237]3 years ago

5 0

Answer:

$67,000

Step-by-step explanation:

41,000*(1,700*15)=67,000

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A skate ramp is 4.2 meters long. It rises up 1.7 meters. What’s is the angle of elevation to the nearest tenth of a degree?

Kipish [7]

Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.

4 0

3 years ago

You won a free ticket to see the latest Star Wars movie this Friday night (which you can costlessly resell for its face value of

Bogdan [553]

Answer:

The opportunity cost of going to see the Star Wars movie on Friday is $35.

Step-by-step explanation:

You won a free ticket to see the latest Star Wars movie this Friday night with a face value of $15.

Tickets to see your favorite band cost $30, and on any given day, you would be willing to pay as much as $50 for a ticket.

So, the opportunity cost of going to see the Star Wars movie on Friday =

$50+15-30=35$ dollars

7 0

3 years ago

Given the graph of a line y=−x. Write an equation of a line (there are many) which intersects the line, but is not perpendicular

BaLLatris [955]

This would be any equation whose slope isn’t -1 or 1.

If the slope was -1, the lines would be parallel because the have the same slope.

If the slope was 1, the lines would be perpendicular because 1 is the negative reciprocal of -1.

Any line with any other slope will intersect with y=-x.

Hope this helps!

5 0

3 years ago

A plane flies at a steady rate of 40 mph while a second plane flies at a steady rate of 100 mph. The planes are 200 miles apart

Brums [2.3K]

Answer:

$1\ \text{hour}\ 25\ \text{minutes and }12\ \text{seconds}$

Step-by-step explanation:

The combined distance that both planes will cover is 200 miles

Time taken by both planes will be the same (t)

$\text{Distance}=\text{Speed}\times \text{Time}$

So, the combined distance is

$40t+100t=200\\\Rightarrow 140t=200\\\Rightarrow t=\dfrac{200}{140}\\\Rightarrow t=1.42\ \text{hours}=1\ \text{hour}\ 25\ \text{minutes and }12\ \text{seconds}$

They will meet in $1\ \text{hour}\ 25\ \text{minutes and }12\ \text{seconds}$ .

7 0

3 years ago

Read 2 more answers

Determine the value of y, if x is 6.<br> y = |x|-1<br> Answer:

Karolina [17]

Answer:

5

Step-by-step explanation:

8 0

3 years ago