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I am Lyosha [343]
2 years ago
6

Karen earns $34,850 annually as an engineer. She single and supports her father. The state tax rate in her state is 3% of taxabl

e income. What amount is withheld yearly for state income tax?
Mathematics
1 answer:
Scorpion4ik [409]2 years ago
3 0

Answer:

1,045.50$

Step-by-step explanation:

34,850 x .03 = 1,045.50

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A hovercraft takes off from a platform.
lubasha [3.4K]

Answer:

81 meters.

Step-by-step explanation:

The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:

h(x)=-3(x-3)^2+108

We are to determine its height at the time of takeoff.

Now, at the time of takeoff, x=0.

We substitute x=0 to solve for h.

h(0)=-3(0-3)^2+108\\=-3(-3)^2+108\\=-3(9)+108\\=-27+108\\=81$ meters

The height of the hovercraft at takeoff is 81 meters.

7 0
2 years ago
Read 2 more answers
Find the perimeter of ABC with vertices A (1,-6), B (1,-3),<br> and C (-4,-6).
Crazy boy [7]

Answer:

p = 8 +  \sqrt{34}  = 13.83095...

Step-by-step explanation:

we can easily calculate the perimeter of three points, using vectors. See the picture...

5 0
2 years ago
From the equation y=3.5x identify the constant of proportionality
Ilya [14]

Answer:

3.5

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simpli
Digiron [165]

Answer:

1½ cords per hour

Step-by-step explanation:

A log splitter can split 6/5 cords of wood in 4/5 of an hour.

To find a unit rate, we divide the quantity of cords of wood by the time.

This gives us the complex fraction.

\frac{ \frac{6}{5} }{ \frac{4}{5} }

This is the same as

\frac{6}{5}  \div  \frac{4}{5}

To divide two fractions, we multiply by the reciprocal of the second fraction.

\frac{6}{5}   \times   \frac{5}{4}

\frac{3}{1}   \times   \frac{1}{2}

This simplifies to:

\frac{3}{2}  = 1 \frac{1}{2}

The unit rate is 1.5 cords per hour

3 0
2 years ago
Two trains left the station traveling in opposite directions. The distance Train A traveled is modeled by the function d(t)=81t
stira [4]

Answer:

Option A -  The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Step-by-step explanation:

Given : The distance Train A traveled is modeled by the function d(t)=81t

where d represents distance in miles and t represents time in hours.

To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?

Solution :

Distance traveled by Train A in 1 hour is

d(t)=81t

d(t)=81(1)=81

Distance traveled by Train B in 1 hour is

d(t)=81t

d(t)=81(1)=81

or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour

Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Hence, Option A is correct.


8 0
2 years ago
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