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Mashcka [7]
3 years ago
8

Ray Cupple bought a basic car costing $10,150.00, with options costing $738.00. There is a 6% sales tax in his state and a combi

ned $50.00 license and registration fee. What was Ray's total cost?
Mathematics
1 answer:
valkas [14]3 years ago
6 0
10,150.00+738= 10,888.00 10,888.00*0.06=653.28 ( total tax ) 10,888.00+653.28+50.00=11,591.28 Is that help
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Forces with magnitudes of 2000 newtons and 900 newtons act on a machine part at angles of +30degrees and -45degrees respectively
mote1985 [20]

To get the resultant magnitude and direction of the forces we need to separate the force into its x and y components. For the x components it is the sum of 2000cos(30) and 900cos(45), which is 2368.4469 N. For the y components it will be the sum of 2000sin(30) and -900sin(45), the value for the second force is negative because it is pointing downwards, their sum would be 363.6038 N. The magnitude for the resultant force can be determined using the pythagorean theorem R=sqrt(2368.4469^2 + 363.6038^2) while its direction is found using tan^-1(363.6038/2368.4469). The final answer would be 2396.1946 N with an angle of 8.7279 degrees from the right side of x axis.




3 0
3 years ago
Can you please help me on this question -4x+7y=3
Burka [1]

Answer:

What do you want to solve for? x or y

Step-by-step explanation:

6 0
3 years ago
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A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 min
Leya [2.2K]

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

A \to Amount

t \to time

Given

A(0) = 200 --- initial

A(5) = 200 * (1 - 20\%) = 160 --- the amount left, after 5 minutes

Required

A(10) --- amount left after 5 minutes

To do this, we make use of:

A(t) = A(0) * e^{kt}

A(5)  = 160 implies that:

160 = 200 * e^{k*5}

Divide both sides by 200

0.80 = e^{k*5}

Take natural logarithm of both sides

\ln(0.80) = \ln(e^{k*5})

\ln(0.80) = \ln(e^{5k})

\ln(0.80) = 5k\ln(e)

So, we have:

-0.223 = 5k

Divide by 5

k = -0.045

So, the function is:

A(t) = A(0) * e^{kt}

A(t) = 200 * e^{-0.045t}

The amount after 10 minutes is:

A(10) = 200 * e^{-0.045*10}

A(10) = 200 * e^{-0.45}

A(10) = 127.53

3 0
3 years ago
Write the following<br> as an<br> algebraic expression.<br> Subtract 3x + 6 from 8x -1.
Katen [24]

Answer:

(8x - 1) - (3x + 6)

hope this helps

6 0
3 years ago
3. Justin went to the movies and
solmaris [256]

Answer:

7.35

Step-by-step explanation:

4.25+2.75=7.00 before tax

7.00 x .05=.35 sales tax

7.00+ .35=7.35 total bill

3 0
3 years ago
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