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Alika [10]
3 years ago
9

What is the definition of present value?

Mathematics
1 answer:
Bezzdna [24]3 years ago
6 0

Answer:

the value in the present of a sum of money, in contrast to some future value it will have when it has been invested at compound interest.

Step-by-step explanation:

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Factor the expression<br> 12x^2 +7x+1
Leona [35]

Answer:

\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}

Step-by-step explanation:

A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,

\sf\implies p(x)= 12x^2+7x+1

And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .

Step 1: <u>Multiply </u><u>the </u><u>coefficient </u><u>of </u><u>x²</u><u> </u><u>with </u><u>the </u><u>constant</u><u> </u><u>term </u><u>.</u>

Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .

Step 2: <u>Look </u><u>out</u><u> </u><u>for </u><u>the </u><u>possible</u><u> </u><u>factors </u><u>of </u><u>the </u><u>number</u><u> </u><u>.</u>

Here the obtained number is 12 . So the possible factors of 12 is

  • 1 *12
  • -1*-12
  • 2*6
  • -2*-6
  • 4*3
  • -4*-3

Step3: <u>Choose </u><u>the </u><u>factor </u><u>whose </u><u>sum </u><u>is </u><u>equal </u><u>to </u><u>the </u><u>coefficient</u><u> </u><u>of </u><u>the </u><u>middle</u><u> </u><u>term </u><u>.</u>

Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .

Step 4: <u>After </u><u>proper</u><u> </u><u>arrangements</u><u> </u><u>take </u><u>out</u><u> the</u><u> </u><u>common</u><u> </u><u>term </u><u>and </u><u>then </u><u>factorise</u><u>.</u>

After suitable rearrangment we get ,

\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}

7 0
3 years ago
What is the area of the figure?
Effectus [21]

Answer:

0.77 M

Step-by-step explanation:

I'm going to assume this is a half-circle

Formula:

A = (πr^2)/ 2

D = 1.4

r = 0.7

A = (π 0.7^2)/2

A = (0.49π)/2

A = 0.7693

A = 0.77

8 0
2 years ago
Two step equations solve for x​
Semmy [17]

Answer:

v=15

Step-by-step explanation:

First you multiply both v+9/3 and 8 by 3.

Like this 3 x v+9/3=8 x 3.

Then you will get v+9=24.

After you multiply both sides by 3 you subtract 9 from both sides.

v+9-9=24-9

and you will get v=15.

5 0
3 years ago
Write a function rule using function notation that will transform a geometric figure by rotating it 270 degrees clockwise. a f(x
zheka24 [161]

Answer:

a

Step-by-step explanation:

Under a clockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ) , thus

f(x, y ) = (- y, x )

8 0
3 years ago
PLEASE HELP! THANKS!!
stepladder [879]
X=12 because I said so and I’m smart
7 0
3 years ago
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