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lorasvet [3.4K]
3 years ago
15

The interest that Julia earns on her investment is given by the equation I=48t where t is the time in years that her money is in

vested. She makes a table to determine how much she would earn different values of t. She selects 12 as a value for t. What corresponding table entry for I?
A.) 4

B.) 60

C.) 4812

D.) 576
Mathematics
2 answers:
harina [27]3 years ago
3 0
The answer would be D.
larisa [96]3 years ago
3 0

Answer:

576

Step-by-step explanation:

Trust me

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5. (05.03 LC) What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x pl
earnstyle [38]

Answer:

B. \frac{4x^{2}+24x+31}{3x^{2}+13x+12}

Step-by-step explanation:

We have been given a rational expression \frac{(x+5)}{(3x+4)}+\frac{(x+4)}{(x+3)} and we are asked to simplify our rational expression.

We can see that our denominators are not equal. Since the two denominators do not share any common factors, the common denominator is simply the product of these two denominators.      

To keep the value of expression same we will multiply the same quantity with numerators and denominators.

\frac{(x+5)(x+3)}{(3x+4)(x+3)}+\frac{(x+4)(3x+4)}{(x+3)(3x+4)}  

Now let us simplify our expression using FOIL.  

\frac{x^{2}+3x+5x+15}{3x^{2}+9x+4x+12}+\frac{3x^2+4x+12x+16}{3x^{2}+4x+9x+12}

\frac{x^{2}+8x+15}{3x^{2}+13x+12}+\frac{3x^2+16x+16}{3x^{2}+13x+12}    

Now we have same denominators, so we can add our numerators.

\frac{x^{2}+8x+15+3x^2+16x+16}{3x^{2}+13x+12}    

Now let us combine like terms.

\frac{(1+3)x^{2}+(8+16)x+15+16}{3x^{2}+13x+12}  

\frac{4x^{2}+24x+31}{3x^{2}+13x+12}  

Therefore, the simplest form of our given rational expression will be \frac{4x^{2}+24x+31}{3x^{2}+13x+12}  and option B is the correct choice.

8 0
3 years ago
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OlgaM077 [116]
The correct answer is:
measurement of one angle and length of one side
8 0
2 years ago
What is the length of a line segment on the coordinate plane with end point (3,5) and (6,8) to the nearest tenth
yan [13]

Answer:

Step-by-step explanation:

Use the distance formula for coordinate geoemetry and the fact that x1 = 3, y1 = 5, x2 = 6 and y2 = 8 to fill in the formula:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

fills in accordingly:

d=\sqrt{(6-3)^2+(8-5)^2}

which simplifies a bit to

d=\sqrt{(3)^2+(3)^2}

which is

d=\sqrt{18}

The square root of 18 simplifies down to 3\sqrt{2}, which is 4.2426 in decimal form

4 0
2 years ago
Read 2 more answers
Dividing Polynomials with Tables Isiah is dividing 2x3 - x2 + 2x + 5 by x + 1 using a division table. His work is shown here. Wh
lukranit [14]

Answer:

5

Step-by-step explanation:

We are asked to find the value of A. We know from the question that we need to have the sum of -3x and (A)x equal the third term of the original polynomial, which is 2x. written out in an equation, it looks like this.

-3x+(A)x=2x

We can simplify the equation if we add 3x to both sides, which then leaves us with this.

(A)x=5x

We can further simplify the equation by dividing both sides by x. This leaves us with our last equation for this problem.

A=5

Finally, we have our answer. We can also verify that this is a valid integer by multiplying our, now completed, quotient by the divisor and adding the remainder, which in this case, our remainder is 0, so we will not be including it in our operation.

(x+1)(2x^{2}-3x+5)

If our calculations were all correct, the product of these polynomials should equal our dividend, verifying our integer is valid; lo' and behold, it is.

2x^{3}-x^{2}+2x+5

8 0
3 years ago
What is the result of subtracting the second equation from the first?<br> -2x+y=0<br> - 7x + 3y = 2
Monica [59]

Answer:

Photomath help you get the answer

Step-by-step explanation:

7 0
3 years ago
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