In this unit, you explored different reasons and incentives to save, such as saving for a down payment on a large purchase, financial security for emergencies, and tax advantages. Imagine that it’s 10 to 15 years into the future, and you’ve secured your dream job. Which reasons or incentives to save money resonate the most with you? Explain your reasoning.

Answer:

y = 1/(x+1)   -5

X cannot be -1 because the denominator would go to zero

Step-by-step explanation:

f(x) = 1/(x+5) -1

y =  1/(x+5) -1

Exchange x and y and solve for y

x =  1/(y+5) -1

x+1 = 1/(y+5)

Multiply by (y+5)

(x+1) (y+5) = 1

Divide by (x+1)

y+5 = 1/(x+1)

Subtract 5

y = 1/(x+1)   -5

X cannot be -1 because the denominator would go to zero

Answer:

f+g = 11x-8

f*g = 28x^2 - 47x+15

Step-by-step explanation:

f(x) = 4x - 5 and g(x) = 7x -3

(f+g)(x) = 4x - 5  + 7x -3

Combine like terms

         = 4x+7x -5-3

        = 11x-8

(f * g) (x) = ( 4x - 5) (7x -3)

FOIL

          = 4x*7x + 4x(-3) + (-5)(7x) + (-5)(-3)

            =28x^2 -12x-35x+15

Combine like terms

            =28x^2 - 47x+15

Step-by-step explanation:

Step 1:  Find (f + g)(x)

The definition of (f + g)(x) is f(x) + g(x).  Basically add the two functions together.  

[tex]f(x) + g(x)[/tex]

[tex](4x - 5) + (7x - 3)[/tex]

[tex]11x - 8[/tex]

Answer:  [tex]11x - 8[/tex]

Step 2:  Find (f * g)(x)

The definition of (f * g)(x) is f(x) * g(x).  Basically multiply the two functions together.  

[tex]f(x) * g(x)[/tex]

[tex](4x - 5) * (7x - 3)[/tex]

[tex](4x * 7x) + (4x * -3) + (-5 * 7x) + (-5 * -3)[/tex]

[tex](28x^{2}) + (-12x) + (-35x) + (15)[/tex]

[tex]28x^{2} - 47x + 15[/tex]

Answer:  [tex]28x^{2} - 47x + 15[/tex]

Answer:

4%

Step-by-step explanation:

Yearly salary = 9600 * 12 = Rs. 115200

Tax = Rs . 4530

[tex]Tax \ percent = \frac{4530}{115200}*100[/tex]

                    = 3.93 = 4%

Answer:

6

Step-by-step explanation:

Answer:

(-6, 0) and  (0, 1.5)

Step-by-step explanation:

The equation of the line in pint slope form is expressed as;

y-y0= m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 1/4

(x0, y0) = (6,3)

Substitute into the formula;

y - 3 =  1/4(x-6)

4(y-3) = x - 6

4y - 12 = x-6

4y - x = -6+12

4y - x = 6

x = 4y - 6

To get the points to plot, we will find the x and y-intercept of the resulting expression.

For the x-intercept,

at y = 0

x = 4(0) - 6

x = -6

Hence the x-intercept is at (-6, 0)

For the y-intercept,

at x = 0

0 = 4y - 6

4y = 6

y = 6/4

y = 3/2

y = 1.5

Hence the y-intercept is at (0, 1.5)

Hence the required points to plot to get the required line are  (-6, 0) and  (0, 1.5)

Answer:

12.496

Step-by-step explanation:

a=10 (first term)

r= 1/5 (common ratio)

sum of first five terms

[tex] s_{5} = \frac{a( 1 - {r}^{n} ) }{1- r} [/tex]

=10{1-⅕⁵} ÷ 1-⅕

=10{1 - 1/3125} ÷ 4/5

=10{3124/3125} ÷ 4/5

=9.9968÷0.8

=12.496.

OR

a+ar+ar²+ar³+ar⁴

=10+(10x⅕)+(10x⅕²)+(10x⅕³)+(10x⅕⁴)

=10+2+0.4+0.08+0.016

=12+0.48+0.016

=12.496

Answer:

Your question is incomplete pleasegove the real question.

Step-by-step explanation:

Answer:

2cm

Step-by-step explanation:

The volume of water displaced by the rod is

v = πr^2 h = π * 3^2 * 8 = 72π cm^3

The drop in water level is the rod volume divided by the cross-section area of the tin, or

72π/(π*6^2) = 2 cm

Answer:

Step-by-step explanation:

Answer:

C. Absolute value is the answer

Answer:

it must be yes!

Step-by-step explanation:

here's the answer to your question

Answer:

∠9 and ∠12

Step-by-step explanation:

Supplementary angles are two angles that add up to 180. Looking at all the answer choices, A, C, and D have either Big-Big angle or Small-Small angle. What we need is Big-Small angle that is next to eachother, which is ∠9 and ∠12.

Hope this helped.

(Also sorry!)

Answer:

D

Step-by-step explanation:

(5√2 - 4√3)^2 =

50 + 48 - 40√6 = 98 - 40√6

Answer: 20

Step-by-step explanation:

X - 8 = 12

+ 8 +8

X = 20

20 gallons were in the tub to start with

Answer:

The equation is:

y=5x-2

Answer:

write -3+6^x

Step-by-step explanation:

ur answer is true actually just don't write 'y='

Answer: No slope / undefined

Step-by-step explanation:

Concept:

Here, we need to know the idea of a slope.

The slope is the measure of the steepness of a line.

The basic formula of slope is [Rise / Run] which is basically [Y] value (vertical) over [X] value (horizontal)

If you are still confused, please refer to the attachment below for the full formula.

Solve:

(7 ,1)

(7, -2)

Slope = (1 - (-2)) / (7-7)

Slope = (3) / 0

Slope = Undefined

Indeed, it is a vertical line. By definition, a vertical line has no slope.

Hope this helps!! :)

Please let me know if you have any questions or need further explanations

Answer:

78

Correct term:60

Step-by-step explanation:

We are given that

[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]

The quotient of this expression is given by

[tex]4x^3+6x^2+18x+78+\frac{183}{x-3}[/tex]

We have to find the term in this expression  which contains an error.

[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]

The quotient of this expression is given by

[tex]=4x^3+6x^2+18x+60[/tex]

[tex]Dividend=Divisor\times quotient+ remainder[/tex]

Using the formula

[tex]4x^4-6x^3+6x+3=(x-3)(4x^3+6x^2+18x+60)+\frac{183}{x-3}[/tex]

We can see that in the given expression there is 60 in place of 78.

The error in the expression of quotient is 78.

Correct term is 60.

Answer:

C.

Step-by-step explanation:

[tex]{ \tt{(8x + 3) + (2x + 7) = 180 \degree}} \\ { \tt{10x + 10 = 180}} \\ { \tt{10x = 170}} \\ { \tt{x = 17}}[/tex]

[tex]{ \bf{ \angle Q = (2x + 7)}} \\ { \bf{ \angle Q = (2 \times 17) + 7}} \\ { \bf{ \angle Q =41 \degree }}[/tex]

Answer:

the correct answer is b

Step-by-step explanation:

there are 256 players so 128 matches will be there first and 128 will reach in second round and again 64 matches and half of them will be eliminated and do it till there will be final 2 then add matches played and u will get254 matches and 1 last match will be final

so ans is 255

Answer: A reflection (Across the y-axis)

Step-by-step explanation:

Transformation possiblitites:

Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.

Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.

Dilation: The new point if dilated wouldn't be in close proximity with the original point.

Answer:

your closest number should be A

Answer:

A.√99

Step-by-step explanation:

10^2 = 100

Or vise versa √100 = 10

The closest number to 100 is 99

So √99 is closest to 10

A and B

I hoped it helped you

Solution :

Trigonometric angles :

The trigonometric angles are defined as the angles that are obtained by the ratios of trigonometric functions. It shows the relationship between the sides of the triangle and the angles between them. These values of the trigonometric angles ranges from 0 to 36 degrees.

Below attached shown are the angles on a unit circle which shows the angles for each value of sin, cos and tan, and also the radian measure for each of the angles.

Answer:

C. (x+7)(x+6)

Step-by-step explanation:

F: X*X = X^2

O: x * 6 = 6x

I: 7 * x = 7X

L: 7*^ = 42

Answer:

6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

we use Euclidian theorem to find n

n^2 = 6*18

n^2 = 108

n = 6[tex]\sqrt{3}[/tex]

Answer:

Percentage error in the student measurement = 2%

Step-by-step explanation:

Percentage error = (change in length) / actual length × 100

Approximate length =294 feet

Actual length = 300 feet

Percentage error = (change in length) / actual length × 100

= (300 feet - 294 feet) / 300 feet × 100

= 6/300 × 100

= 0.02 × 100

= 2%

Percentage error in the student measurement = 2%

Answer:

x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

Step-by-step explanation:

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

x

The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)

so, we get,

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

Hence, The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ2

Step-by-step explanation:

sqrt(x+4)

the answer is in the image above