1. Will is 30 years old and works for a company that matches his 401(k) contribution up to 3%. The interest rate for

his 401(k) is 7.13%. If he puts away 9% of his $41,000 salary every year, how much would he have saved in 10

years? Round your answer to the nearest cent.

Oooo

$52,835.72

$56,602.91

$68,395.76

$73, 272.37

Answer:

58.8- -7.2= 51.6

Step-by-step explanation:

Because it asked for how much greater, I subtracted.

Answer:

7.2-58.8=51.6

Step-by-step explanation:

Answer:

Roberta earns $164.4 on an 8 hr shift.

Step-by-step explanation:

In one hour  Roberta makes $9

So if she works for 8 hours she will be making

=> ( 9 X 8)$

=>72$

Also she earns a commission of 10.5% on selling a jewellery  worth $880

So 10.5% of 880 is

=> [tex]\frac{10.5}{100}\times 880[/tex]

=>  [tex] 0.105\times 880[/tex]

=> 92.4

Hence  Roberta will be earning a total amount of

(72+ 92.4)

=>$164.4

Answer:

Step-by-step explanation:

Do the multiplication and you'll find the right answer.

Answer:

Explanation:

1) Find the greatest number that divides exactly both 75 (candy canes) and 45 (holiday cookies).

That is, find the GCF (greatest common factor) of 75 and 45.

Then, the greatest number of gift bags, so that each bag has an equal number of candy canes and same number of cookies that Aliyah can make is 15.

2) How many cookies will be in each bag?

To find the number of cookies that will be in each bag, you divide the number of holiday cookies by the number of gift bags:

Thus, each bag will contain 3 holiday cookies.

Answer:

Store A:  

$1.98 per loaf

Store B:  

$1.95 per loaf

Store C:  

$2.01 per loaf

Store D:  

$2.02 per loaf

Step-by-step explanation:

5.94 divided by 3 = 1.98

7.80 divided by 4 = 1.95

10.05 divided by 5 = 2.01

12.12 divided by 6 = 2.02

Answer:

Store A:  

$1.98 per loaf

Store B:  

$1.95 per loaf

Store C:  

$2.01 per loaf

Store D:  

$2.02 per loaf

Step-by-step explanation:

:)

Answer: x1=-2

x2=2

Step-by-step explanation:

5x²+4x-19=4x+1

5x²+4x-19-4x-1=0

5x²-20=0

5x²=20

x²=20/5

x²=4

x1=-√4=-2

x2=+√4=2

To solve the simultaneous equations, set the two equations equal to each other, simplify, solve for x, and substitute the values of x back into one of the original equations to solve for y. The solutions are (2, 9) and (-2, -7).

To solve the simultaneous equations:

y = 5x^2 + 4x - 19

y = 4x + 1

Let's set the two equations equal to each other:

5x^2 + 4x - 19 = 4x + 1

Now, simplify and solve for x:

5x^2 + 4x - 4x - 19 - 1 = 0

5x^2 - 20 = 0

Divide both sides by 5:

x^2 - 4 = 0

Factor the equation:

(x - 2)(x + 2) = 0

Set each equation equal to zero:

x - 2 = 0 or x + 2 = 0

Solve for x:

x = 2 or x = -2

Now, substitute the values of x back into one of the original equations to solve for y:

When x = 2:

y = 5(2)^2 + 4(2) - 19

y = 20 + 8 - 19

y = 9

When x = -2:

y = 5(-2)^2 + 4(-2) - 19

y = 20 - 8 - 19

y = -7

Therefore, the solutions to the simultaneous equations are (2, 9) and (-2, -7).

https://brainly.com/question/30319215

#SPJ3

Answer: 1080

Step-by-step explanation: pls mark

brainliest

Answer:

karen--173.5

Step-by-step explanation:6 - 700 would equal 694 then you would divide by 4 and then you would get one 173.5

Answer:

The y-intercept is the point (0,5)

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

In this problem the value of y is a constant for all values of x

so

For x=0

The value of y=5

therefore

The y-intercept is the point (0,5)

Answer:

E

Step-by-step explanation:

The equation of proportion is

y = kx ← k is the constant of proportionality and

k = [tex]\frac{y}{x}[/tex]

Substitute the values from the table into the equation for k, that is

k = [tex]\frac{2}{3}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{6}{9}[/tex] = [tex]\frac{2}{3}[/tex]

49cm Would be your answer, sorry for the late reply

Sue and Jerry, working together, will take approximately 13 hours and 39 minutes to paint 10 chairs. They combine their individual rates of painting to find a total rate together and then calculate the total time needed based on that combined rate.

To determine how long it will take Sue and Jerry to paint 10 chairs, we first need to find out how long it takes for them to paint a single chair together. Sue can paint a chair in 3 hours, which is a rate of 1/3 chair per hour. Jerry paints a chair in 2 1/2 hours, or 5/2 hours, which is a rate of 2/5 chair per hour. Working together, their combined rate is (1/3) + (2/5) chairs per hour.

First, find the common denominator for the two fractions which is 15, and then add the rates together: (5/15) chair per hour (Sue) + (6/15) chair per hour (Jerry) = (11/15) chairs per hour together. To find the time to paint one chair, divide 1 chair by their combined rate:

1 chair / (11/15) chairs/hour = 15/11 hours to paint one chair together.

To find the time for 10 chairs, multiply the time it takes to paint one chair by 10:

(15/11 hours/chair) × 10 chairs = 150/11 hours = 13 hours and ≈ 39 minutes.

Therefore, Sue and Jerry together will take approximately 13 hours and 39 minutes to paint 10 chairs.

Answer:

45

Step-by step

What do we already know about the equation?

We know that they EACH bought a hockey puck($17) and 2 shirts

Half of 214 is 107. So they had to have spent 107 separately

So we make the equation and let s represent shirts

2s + 17 = 107

    - 17            -17

2s= 90.    DIVIDE by 2

s = 45

Answer:

So, she can expect to win a total of $0.33 .

Step-by-step explanation:

According to the question miriam will get 5$ when the dice will show 1 or 6 .

And also she will lose 2$ for any other number .

Now ,

Total number of favorable cases for winning of 5$ for the miriam are 2.

Total number of cases = 6.

Also,

Total number of cases in which she will lose money will be 4.

So, probability of win = [tex]\frac{2}{6}[/tex].

Probability of loss = [tex]\frac{4}{6}[/tex].

Thus ,

Total amount of money that she can expect to win =

[tex]\frac{2}{6}[/tex]×5 - [tex]\frac{4}{6}[/tex]×2 = [tex]\frac{1}{3}[/tex].

So, she can expect to win a total of $0.33 .

Answer:

x=-54

Step-by-step explanation:

-4(2x+9)+3x=6-4(x-3)

Reorder the terms in parentheses

+(-8x-36)+3x=6-4*(x-3)

Remove unnecessary parentheses

-8x-36+3x=+6-4+*(+x-3+)

Reorder the terms in parentheses

-8x-36+3x=6+(-4x+12)

Remove unnecessary parentheses

-8x-36+3x=+6-4x+12

move all terms containing x to the left and all other terms to the right.

-8x+3x+4x=+6+12+36

simplify left and right side of the equation.

-1x=+54

finally, divide both sides of the equation by -1 to get x.

x=-54

-4 (2x+9) + 3x = 6 - 4 (x-3)

Simplifying

-4(2x + 9) + 3x = 6 + -4(x + -3)

Reorder the terms:

-4(9 + 2x) + 3x = 6 + -4(x + -3)

(9 * -4 + 2x * -4) + 3x = 6 + -4(x + -3)

(-36 + -8x) + 3x = 6 + -4(x + -3)

Combine like terms: -8x + 3x = -5x

-36 + -5x = 6 + -4(x + -3)

Reorder the terms:

-36 + -5x = 6 + -4(-3 + x)

-36 + -5x = 6 + (-3 * -4 + x * -4)

-36 + -5x = 6 + (12 + -4x)

Combine like terms: 6 + 12 = 18

-36 + -5x = 18 + -4x

Solving

-36 + -5x = 18 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.

-36 + -5x + 4x = 18 + -4x + 4x

Combine like terms: -5x + 4x = -1x

-36 + -1x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0

-36 + -1x = 18 + 0

-36 + -1x = 18

Add '36' to each side of the equation.

-36 + 36 + -1x = 18 + 36

Combine like terms: -36 + 36 = 0

0 + -1x = 18 + 36

-1x = 18 + 36

Combine like terms: 18 + 36 = 54

-1x = 54

Divide each side by '-1'.

x = -54

Simplifying

x = -54

Answer:

A

Step-by-step explanation:

The volume of the triangular prism is

[tex]V=A_{base}\cdot h,[/tex]

where

h = height

Base = triangle.

In your case,

[tex]A_{base}=\dfrac{1}{2}\cdot 4\cdot 4=8\ ft^2\\ \\h=1\ ft,[/tex]

then

[tex]V=8\cdot 1=8\ ft^3[/tex]

Answer:

Numbers are 8 and 12

Step-by-step explanation:

x=4+y

x+y=20

Solving both equations

4+y+y=20

2y=16

y=8

x=4+8=12

Answer:

0.011 (taking till hundredth decimal value)

Step-by-step explanation:

Given: 8 divided by 709.

Lets solve it by using long division.

[tex]8\div 709[/tex]

Divisor is 709 and dividend is 8.

Now, while solving we will get quotient and remainder, if any.

As in this case 709 (divisor) is smaller number than 8 (dividend).

So, we need to take decimal in quotient to add zero with the dividend, which is again smaller than divisor, therefore we will take 0 also in quotient after decimal to add more zero with dividend, now dividend have value "800".

∴[tex]800\div 709= 0.0[/tex]

In the next step, we will divide 800 by 709.

As we know, [tex]709\times 1= 709\\709\times 2= 1418[/tex]

As 709 is lesser than 800 and we don´t have value equal to 800 in the multiple of 709, therefor we will quotient as "1" .

∴ [tex]800\div 709=0.01[/tex]

Now, we have remainder [tex]800-709= 91[/tex]

we cannot divide 91 by 709, so we add zero to the dividend as we have already taken decimal.

∴ with remainder 91 and adding zero to it, make it [tex]910\div 709[/tex]

Now, we have [tex]910\div 709= 0.011[/tex]

As we know, [tex]709\times 1= 709\\709\times 2= 1418[/tex]

As 709 is lesser than 910 and we don´t have value equal to 9100 in the multiple of 709, therefor we will quotient as "1" .

∴ We have result as 0.011 (taking till hundredth decimal value)

Answer:

Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.  

Step-by-step explanation:

Given:

Let,

point S( x₁ , y₁) ≡ ( -1 , 1)  

point T( x₂ , y₂) ≡ (3 , -5)

Point M( x , y ) is the Mid point of segment ST.  

To Find:

Point M( x , y )= ?

Solution:

As Point M( x , y ) is the Mid point of segment ST.

So we have Mid Point Formula as

[tex]Mid\ pointM(x,y)=(\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2})[/tex]

On substituting the given values in above equation we get

[tex]M(x,y)=(\frac {-1+3}{2},\frac{-5+1}{2})\\\\M(x,y)=(\frac{2}{2},\frac{-4}{2}) \\\\M(x,y)=(1,-2)\ \textrm{which the required midpoint}[/tex]

Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.  

Answer:

commutative property of addition

Step-by-step explanation:

Answer:

The answer to your question is commutative property of addition

Step-by-step explanation:

commutative property of addition means switching up the numbers of the equation but the sum is still the same.

Like in your qustion 1+7=8 but 7+1=8 also. The numbers 7 and 1 are switched around but the answer is still 8.

Answer:

Step-by-step explanation:

5 gallons to 20 qts = x gallons to 18 qts

 5          x

------ = ------ cross multiply

20        18

(20)(x) = (5)(18)

20x = 90

x = 90/20

x = 4.5 <==== 18 qts is equal to 4.5 gallons

====================

20 qts to 5 gallons = 20/5 = 4 qts per gallon <==

Answer: The unit is “4” quarts per gallon

Step-by-step explanation:

Answer:

V = 314 mm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here diameter = 10, hence r = 10 ÷ 2 = 5 and h = 4, thus

V = π × 5² × 4

   = 3.14 × 25 × 4 = 3.14 × 100 = 314 mm³

Answer:

1. 2:3 = 6:9

2. 4:7 = 24:42

3. 2(6):48=3:12

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Answer:

(1, 1 )

Step-by-step explanation:

Given the 2 equations

3x +2y = 5 → (1)

x - 2y = - 1 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

(3x + x) + (2y - 2y) = (5 - 1)

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 in either of the 2 equations and solve for y

Substituting in (1)

3(1) + 2y = 5

3 + 2y = 5 ( subtract 3 from both sides )

2y = 2 ( divide both sides by 2 )

y = 1

Solution is (1, 1 )

Answer: x=3 y=-2

Step-by-step explanation:

The other dude is wrong, I just did it and got

Marked wrong. It’s (3,-2)

Answer:

-6, 6

Step-by-step explanation:

-6+6=0

Answer:

No Solution.

Step-by-step explanation:

5x-y=2

5x-y=-2

-------------

-(5x-y)=-2

5x-y=-2

----------------

-5x+y=-2

5x-y=-2

-------------

0=-4

no solution

Answer:

Level term and decreasing term

Step-by-step explanation:

level- Death benefit stays the same during the course of the policy term.

term-death benefit drops usually in one year increments over the course of the policy term.

Sabemos que cada niño recibe tres bolsas, por lo que dividimos 95 entre 3 y obtenemos 31 restantes 2. Debido a esto, sabemos que hay 31 niños y nos sobran 2 bolsas.

The length of concrete patio is 6.5 feet which is less than given 7 foot picnic table. So the concrete slab is not enough to fit a 7 foot picnic table

Solution:

Given that concrete patio is [tex]5\frac{2}{3}[/tex] feet wide

Area of concrete patio = [tex]36\frac{2}{3}[/tex] square feet

Therefore,

[tex]\texttt{Width of concrete patio = }5\frac{2}{3}=\frac{5\times 3+2}{3}=\frac{17}{3}feet\\\\\text{Area of concrete patio = }36\frac{2}{3}=\frac{36\times 3+2}{3}=\frac{110}{3}feet^2[/tex]

Let us find the length of concrete patio

Concrete patio is usually of shape rectangle

Area of concrete patio = length x width

[tex]\frac{110}{3} = length \times \frac{17}{3}\\\\length = \frac{110}{3} \times \frac{3}{17}\\\\length = \frac{110}{17} = 6.4705 \approx 6.5[/tex]

Therefore length of concrete patio is 6.5 feet

So it cannot fit the 7 foot picnic table. Since the length of concrete patio is 6.5 feet which is less than given 7 foot picnic table

Answer:

Step-by-step explanation:

The domain of all polynomials is all real numbers.  To find the range, let's solve that quadratic for its vertex.  We will do this by completing the square.  To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out.  That gives us:

[tex]2(x^2-2x)=10[/tex]

The second rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 2 (from the -2x).  Half of 2 is 1, and 1 squared is 1.  So we add 1 into the parenthesis on the left.  BUT we cannot ignore the 2 sitting out front of the parenthesis.  It is a multiplier.  That means that we didn't just add in a 1, we added in a 2 * 1 = 2.  So we add 2 to the right as well, giving us now:

[tex]2(x^2-2x+1)=10+2[/tex]

The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form.  Completing the square gives us a perfect square binomial on the left.

[tex]x^2-2x+1=(x-1)^2[/tex] and on the right we will just add 10 and 2:

[tex]2(x-1)^2=12[/tex]

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

[tex]2(x-1)^2-12=y[/tex]

From this vertex form we can see that the vertex of the parabola sits at (1,-12).  This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12.  Therefore, the range is R={y|y ≥ -12}