Factor the expression. 81x^2 - 121

Answer: After 15years have passed, the loan will be at a total of $49K, which is 2.8 times the original price of the loan.

Step-by-step explanation: The first step in "considering" the price of a loan after a certain number of years is to multiply the original price of the loan by the Annual Percentage Rate (APR), and then multiply that number by the number of years that the student loan is growing. This gives a number that we then need to add to the original price of the loan, to give us the final price of the new loan.

In this problem the original price of the loan is $17,500, and the APR is 12%, which is equal to (0.12). We are trying to find the price of the loan after 15 years, which gives us the following equations.

(17,500) (0.12) = 2,100

(2,100) (15) = 31,500

17,500 + 31,500 = 49,000

49,000 ÷ 17,500 = 2.8 times the original

In this problem, multiplying the original price of $17,500 by the APR equals $2,100. Multiplying $2,100 by 15 years equals $31,500. Adding $31,500 to the original price of $17,500 equals the final price of $49,000.

Answer:

[tex]\begin{aligned}\lbrace & \; 3,\, 5,\, 6,\, 7,\, 9,\, 10, \\ &\; 11,\, 12,\, 13,\, 14,\, 15,\, 17, \\ &\; 18,\, 19,\, 20\rbrace\end{aligned}[/tex].

Step-by-step explanation:

The integer powers of [tex]2[/tex] between [tex]1[/tex] and [tex]20[/tex] are:

Thus, [tex]A = \lbrace 1,\, 2,\, 4,\, 8,\, 16 \rbrace[/tex].

The complement of set [tex]A[/tex] (denoted as [tex]A^{C}[/tex]) includes all elements of the universal set [tex]U[/tex] that are not in set [tex]A\![/tex].

For example, the element [tex]1[/tex] is in [tex]U[/tex] and is also in [tex]A[/tex]. Thus, [tex]1[/tex] isn't in [tex]A^{C}[/tex].

The element [tex]3[/tex] is in [tex]U[/tex] and isn't in [tex]A[/tex]. Thus, [tex]3[/tex] is in [tex]A^{C}[/tex].

Repeat this decision process for each element of [tex]U[/tex] to enumerate [tex]A^{C}[/tex]:

[tex]\lbrace 3,\, 5,\, 6,\, 7,\, 9,\, 10, \, 11,\, 12,\, 13,\, 14,\, 15,\, 17, \, 18,\, 19,\, 20\rbrace[/tex].

Expand the left side:

(3x + 2) (5x + 1) = 15x² + 10x + 3x + 2 = 15x² + 13x + 2

Then a = 15 and b = 13, so a - b = 2.

Answer:

og₃ (x+1) = 3

It could be written:

(x+1)= 3³==> x+1 = 27 ==> x =27-1 =26

Step-by-step explanation:

I really hope this helps

Answer:

14 cubic units

Step-by-step explanation:

The Formula for Volume is

V = L x W x H

Since there are 2, you need to add the two totals together.

Cubic one:

4 x 1 x 2  =  8 (it also doesn't matter what order you put your numbers in, you will still get the same outcome. Its called the commutative property of multiplication)

Cubic Two:

1 x 3 x 2 = 6

Now just add the totals together:

6 + 8 = 14

Here, we have to find the volume of the solid which is made up of two cuboid. We know that the volume of cuboid is given by:

The volume of the solid will be equal to the sum of volume of given two cuboid

For 1st cuboid :

Therefore, Volume:

➝ V = l × w × h

➝ V = 4 × 2 × 1

➝ V = 8 unit³

For 2nd cuboid:

Therefore, Volume:

➝ V = l × w × h

➝ V = 1 × 2 × 3

➝ V = 6 unit ³

Now, Volume of solid :

‎ㅤ‎ㅤ‎ㅤ➙ sum of V of cuboid

‎ㅤ‎ㅤ‎ㅤ➙ 8 + 6

‎ㅤ‎ㅤ‎ㅤ➙ 14 unit ³

Answer:

The average rate of change is 20.

Step-by-step explanation:

To find the answer, plug in the 2 and 5 for x.

g(2) = 2(2)^2 - 8(2)

g(2) = 16 - 16

g(2) = 0

g(5) = 2(5)^2 - 8(5)

g(5) = 100 - 40

g(5) = 60

g(5)-g(2)/5-2 = the average rate of change

60/3=20

Answer:

64.62

Step-by-step explanation:

[tex]cos(x)^{-1} = \frac{3}{7}[/tex]

Answer:

HCF of 49 and 84 is 7.

Step-by-step explanation:

mark me brainliest

Answer:

14.93

Step-by-step explanation:

tan x = 4/15

tan x = 0.2666666667

x = inv tan 0.2666666667

x = 14.9314171799

x = 14.93

Hope this helps :)

Answer:

14.93°

step-by-step explanation:

Find the distance, (opposite side) above the basketball player:

distance: 10 ft - 6 ft = 4 ft

Given the distance(adjacent side) from the pole to player:

distance = 15 ft

Using tan rule:

[tex]\rightarrow \sf tan(?) = \dfrac{opposite }{adjacent}[/tex]

[tex]\rightarrow \sf tan(?) = \dfrac{4}{15}[/tex]

[tex]\rightarrow \sf ? = tan^{-1}(\dfrac{4}{15} )[/tex]

[tex]\rightarrow \sf ? = 14.93^{\circ \:}[/tex]

Answer:

b³

Step-by-step explanation:

The division symbol between the two terms represents a "subtraction symbol", meaning you have to subtract the exponents like this:

Thus, the answer is b³

Answer:

The midpoint of MN is (7,1)

Add the x coordinates 7+7=14 then you divide that by 2 giving you 7.

Then you add the y coordinates together 6+(-4)=2 then divide by 2 and that gives you 1. Therefore the answer is (7,1)

The relationship this location have to the previous locations is (x, y) ⇒ (x, -y)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Let us assume that the previous locations are at A(0, 5), B(9, 5), and C(4, 5). Since the new coordinates are A"(0,-5)B"(9,-5), and C"(4,-5), hence:

The relationship is given by:

(x, y) ⇒ (x, -y)

The relationship this location have to the previous locations is (x, y) ⇒ (x, -y)

Find out more on transformation at: https://brainly.com/question/1620969

Answer:

7/9

Step-by-step explanation:

If the marble is not blue, the marble is either green, yellow or orange. That means we can add up 6, 12, and 10 to get 28. The total number of marbles in the bag is 36.

The probability that the marble will not be blue is 28/36. This can be simplified to 7/9

Hope this helps!

Answer:

[tex]y = - 2x - 7[/tex]

Step-by-step explanation:

One way is to differentiate the function

[tex] \frac{d}{dx} {x}^{2} - \frac{d}{dx} 6[/tex]

Use Power Rule

[tex]2x - 0[/tex]

[tex]2x[/tex]

P

[tex] - 2[/tex]

Plug in -1 so we get

That gives us the slope of the tangent line. we must find the point it passes through.

[tex]( - 1) {}^{2} - 6 = - 5[/tex]

So it have a slope of -2 and passes through (-1,-5)

So we use point slope form

[tex]y + 5 = - 2(x + 1)[/tex]

[tex]y = - 2x - 7[/tex]

A line of symmetry is a figure that can be divided in 2 equal parts.

I have drawn and attached the image!!~

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

Answer:

40 dollar

Step-by-step explanation:

half of 80 is 40

Answer:

40$

Step-by-step explanation:

sale price(S.P.)=discount% of M.P.(marked price)

S.P.=50% of 80$

S.P=50/100*80$

Hence,S.P.(selling price)=0.5*80$=40$

The regression line equation y = 0.502x +12.250 is a linear regression

The regression line equation is given as:

y = 0.502x +12.250

Substitute 100 for x

y = 0.502 * 100 +12.250

Evaluate the sum

y = 62.45

The regression line equation is given as:

y = 0.502x +12.250

Substitute 500 for x

y = 0.502 * 500 +12.250

Evaluate the sum

y = 263.25

It is unlikely that the speed of the roller coaster would reach 263.25

Read more about regression line equations at:

https://brainly.com/question/6774275

Answer:

So what do you need me to help you with because in a little new to this kind of thing

Answer:

(Bro you gotta give me brainliest for this lol, I'm answering 6, 7, and 8. Tell me in comments if you need all of them.)

6. [tex]\frac{66}{5}[/tex] = 13 [tex]\frac{1}{5}[/tex]

7. [tex]\frac{1117}{60}[/tex] = 18 [tex]\frac{37}{60}[/tex]

8. [tex]\frac{1849}{180}[/tex] = 10 49/180

Note: This is not an estimated sum, this is the exact answer calculated from the questions you provided.

Here below is the graph. You can graph this by yourself by plotting point by point to get the same result.

Step by step explanation:

Cramer's rule is used to solve a system of linear equations with n equations in n variables.The basis of this method is matrices and determinants, so we need to understand these two concepts first in order to be able to apply Cramer's Rule in finding solutions to a system of linear equations.

sorry if wrong

I hope this helps

Answer:

Area of rectangle is L*B

Lm *Bm

L*Bm²

Answer:

28

Step-by-step explanation:

3/10 x X= 12

X=12/(3/10)

X=40 she has 40 pens altogether then she gave 12 to her brother so 40-12=28

Answer:

B

Step-by-step explanation: its B.    because 2 means B in abc so yes

Answer:

Step-by-step explanation:

Like a lot of algebraic manipulation associated with average rate of change, it is not difficult, but it can be tedious.

  [tex]f(x+h)=2(x+h)^2-(x+h) +2 = 2(x^2 +2xh +h^2)-x -h +2\\\\\boxed{f(x+h)=2x^2-x+2+4xh-h+2h^2}[/tex]

__

Then the difference quotient is ...

  [tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{(2x^2-x+2)+4xh-h+2h^2-(2x^2-x+2)}{h}\\\\=\dfrac{4xh-h+2h^2}{h}\\\\\boxed{\dfrac{f(x+h)-f(x)}{h}=4x-1+2h}[/tex]

what is bird flu? when was it first detected among human?

Answer:

I just took workbook 26.2 and the answer is

ANSWER: events a and b are independent, because p(b) = p(b | a) = 3/13

Step-by-step explanation: