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BARSIC [14]
3 years ago
15

Troy’s gross pay is $4,276.88. His deductions total $1,320.69. What percent of his gross pay is take-home pay? A) 30% B) 31% C)

50% D) 69%
Mathematics
2 answers:
Mama L [17]3 years ago
8 0
According to my calculations, if they are correct, the answer is A.30%
Sunny_sXe [5.5K]3 years ago
6 0
D it is 69% put take home pay upon 4276.88 and multiply it by 100
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The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s
Norma-Jean [14]

The positions when the particle reverses direction are:

s(t_1)=55ft\\\\s(t_2)=28ft

The acceleraton of the paticle when reverses direction is:

a(t_1)=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=18\frac{ft}{s^{2}}

Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

s(t)=2t^{3}-21t^{2}+60t+3

So,

- Derivating to get the velocity function, we have:

v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s

We know that the particle reversed its direction two times.

- Derivating the velocity function to find the acceleration function, we have:

a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42

Now, substituting the times to calculate the accelerations, we have:

a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}

Now, substitutitng the times to calculate the positions, we have:

s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft

Have a nice day!

3 0
3 years ago
0.551 as a percent <br><br> Thank you
Bingel [31]

Answer:

55.1%

Step-by-step explanation:

When a number is a percent, then one mutliplies it by 100, because a percent is a way of representing a value out of 100. Therefore, 0.551 as a percent is;

0.551 * 100

55.1%

5 0
3 years ago
Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their
Andre45 [30]

Answer:

Aaron=1188

Beth=1782

Charlie=2970

Step-by-step explanation:

From the question we are told that

Ratio 6:9:15

Total amount to e shared N=£5940

Generally the Ratio can divide the Total amount mathematically as follows

Ratio

6:9:15/3=2:3:5

Sum of ratio

2+3+5=10

For Aaron

A=\frac{2}{10} *5940

A=1188

For Beth

B=\frac{3}{10} *5940

B=1782

For Charlie

C=\frac{2}{10} *5940

C=2970

Check answer

A+B+C=5940\\1188+1782+2970=5940

4 0
2 years ago
What is the estimate of 6296
Papessa [141]
Ans:6300


Explanation: Estimating the value of 6296+0
Round up the number 6296 to 6300.
6300+0
Round up the number 0 to 0.
6300+0
Add 0 to 6300.
6300
6296+0≈6300
The Estimated Value of 6296+0 is 6300.
3 0
1 year ago
6(2x-1) over 5. I need help so help me pleeease
pav-90 [236]

Answer:

(12x - 6)/5

Step-by-step explanation:

6(2x-1)/5 => (12x - 6)/5 because of the distributive property.

You cannot simplify farther after you reach (12x - 6)/5.

3 0
3 years ago
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