You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.

Find the total amount that the employer contributes each month.

What amount will you have after 35 years?

How much money have you deposited into the account yourself?

How much more money is in the account than what you have deposited?

Answer:

Expression is 3x² + 5x - 17

Step-by-step explanation:

We are told the number of lights produced by a company is;

Number of lights = 15x^3 + 16x^2 – 100x + 51

Also, number of companies that purchased the light bulbs is 5x - 3.

Thus;

The average number of bulbs purchased per company = (15x^3 + 16x^2 – 100x + 51)/(5x - 3)

I have attached the calculation using long division method to get;

3x² + 5x - 17

Answer:

225 students

Step-by-step explanation:

Total number of students = 900 students

percent that bring lunch to school everyday = 25%

Number of student that bring lunch to school = 25% of 900

Number of student that bring lunch to school = 0.25 * 900

Number of student that bring lunch to school = 225

Hence 225 students bring lunch to school everyday

Answer:

C.

Step-by-step explanation:

each edge/vertex was taken 2 units to the right and 8 units down to make the figure M'

I traced it to make sure

hope this helps <3

Answer:

C.

Step-by-step explanation:

each edge/vertex was taken 2 units to the right and 8 units down to make the figure M'

I traced it to make sure

hope this helps <3

Step-by-step explanation:

Given

d1 = 6 miles

d2 = 19 miles

d3 = ?

d1+d2+d3 = 50

6+19+d3 = 50

25+d3 = 50

d3 = 50 - 25

= 25miles

Answer:

We have the system:

y > x^2 - 1

y < (-1/2)*x + 3

To find the solutions of this set we need to graph the solutions range of both sets, and see the intersection between these solution ranges.

How we do it?

Start with the first one.

First, we graph the equation:

y = x^2 - 1

Now because we are using the symbol ">" means that y is smaller than the thing at the right, then the graph of the equation will be with a dashed line (which means that the points on the line are not solutions) and we will shade all the region above the line

For the other inequality we do the same:

First we graph:

y = (-1/2)*x + 3

And because we have the symbol "<" we again use a dashed line, but this time we will shade all the region below the line.

Once we shaded both regions, the region where we have both shades will be the region of solutions for the system of inequalities.

You can see the graph below.

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

hi lol Idek anyways tell me if its wrong

Answer:

x = 12

m(QS) = 52°

m(PD) = 152°

Step-by-step explanation:

Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)

Thus:

m<R = ½[m(PD) - m(QS)]

50° = ½[(12x + 8) - (4x + 4)] => substitution

Solve for x

Multiply both sides by 2

2*50 = (12x + 8) - (4x + 4)

100 = (12x + 8) - (4x + 4)

100 = 12x + 8 - 4x - 4 (distributive property)

Add like terms

100 = 8x + 4

100 - 4 = 8x

96 = 8x

96/8 = x

12 = x

x = 12

✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°

✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°

Answer:

v=1\3hπr3

Step-by-step explanation:

1/3×,22/7×4.5×4.5××7.25

=153.66cm3

ngl I think you'll have to format it clearer, cause I have no clue what's happening

Answer:  

430 is the cost of catering 18 less than 100 guests.

Step-by-step explanation:

f(g(18))=f(100-18)=f(82)=20+5*82=430

Answer:

C. 0.64

Step-by-step explanation:

Sana makatulong :-)

The polynomial 49 · x · y + 34 · y - 72 · z has three variables (x, y, z) and each of these variables has a degree of 1.

Variables and degrees are the most important features in polynomials. A variable is a letter that represents at least one value of an expression and the degree of the variable is the maximum number of the exponent associated to the variable. According to the statement, the polynomial has three variables (x, y, z), each of them has an degree of 1, that is:

grade (x) = 1, grade (y) = 1, grade (z) = 1

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9514 1404 393

Answer:

  f  2^4 + 2^3 ⋅ 3^2

Step-by-step explanation:

16 +2·36 = 16 +2·4·9 = 16 +8·9

  = 2^4 + 2^3 · 3^2 . . . . . matches choice F

_____

Since you're familiar with your multiplication tables, you know ...

  4 = 2·2

  8 = 2·4 = 2·2·2 = 2^3

  16 = 2·8 = 2·2·2·2 = 2^4

  9 = 3·3 = 3^2

  36 = 4·9

The exponent signifies repeated multiplication.

Answer:

f  2^4 + 2^3 ⋅ 3^2

Step-by-step explanation:

Answer:

The answer is the last line.

Step-by-step explanation:

Use the quadratic formula

a = 1

b = -a

c = a^2 - b

x = -b +/- sqrt(b^2 - 4ac)

      =================

                 2a

x = a +/- sqrt(a^2 - 4(1)*(a^2 - b)

    ========================

                     2

x = a +/- sqrt(a^2 - 4a^ + 4b)

    =====================

                     2

x = a +/- sqrt(4b - 3a^2)

    ===================

                   2

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

Explanation:

Point L is located at (-8, 1) while P is at the point (7,7)

Let's apply the slope formula for these two points

m = (y2-y1)/(x2-x1)

m = (7-1)/(7-(-8))

m = (7-1)/(7+8)

m = 6/15

m = (3*2)/(3*5)

m = 2/5 is the slope of line LP

A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.

Answer:

::::::::::::::::::

5:2

Answer:

490 in.^3

Step-by-step explanation:

volume = length * width * height

volume = 7 in. * 10 in. * 7 in.

volume = 490 in.^3

Volume = edge^(3).

Volume = (7)(10)(7) inches

Volume = 490in^3

Answer: x = 14/5.   Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5

Answer:

Step-by-step explanation:

2(x +3) = 8 - 3 (x-4)

=> 2x + 6 = 8 - 3x + 12

=> 2x + 3x = 8 - 6 + 12

=> 5x = 14

[tex] = > x = \frac{14}{5} [/tex]

=> x = 2.8 (Ans)

Answer:

3/16??? and 1/16???

Step-by-step explanation:

im so sorry this might be wrong

The probability that a exactly one chocolate contains nuts is 3/16 and probability that at least one chocolate contains nuts is 0.339.

Probability is calculated by dividing the number of possible outcomes by the total number of possible outcomes. Probability and odds are two distinct concepts. Odds are calculated by dividing the probability of something happening by the probability of it not happening.

When you calculate probability, you are estimating the likelihood of something occurring and representing it with a precise number.

The probability that a exactly one chocolate contains nuts

No of total chocolates = 16 chocolates

No of chocolates contain nuts = 3

The probability that a exactly one chocolate contains nuts = 3/16

Probability that  at least one chocolate contains nuts is

P(at least one contains nut) = 1 – P(given contains no nuts )^n

P(at least one contains nut) = 1 – (0.8125)^2

P(at least one contains nut) = 0.339

Probability that  at least one chocolate contains nuts = 0.339

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Answer:

A

Step-by-step explanation:

To figure out when the object hit the ground you need to set h(t)=0, after this you need to find the number that when it is plugged in for t makes the equation equal to 0

Answer:

tanθ=1.17

Step-by-step explanation:

please see the attachment below

Answer:

D)

Step-by-step explanation:

TY is a ray.

FR is a segment.

Ray TY intersects segment FR at point P.

Answer: D)

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: TY intersects FR at point P

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

; 134

a:8

n:44

3.6

3.6

P,ob.Z);Jlty : 1 - P(:

<z<-

[ - ]]p(-2.98 ' z ' 2.98)]

[ -]p(z ' 2.98) - p(z ' -2.98)]

[ - E0.9986 - 0.0014]

=0.0028

The probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.

To determine the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters, we can use the Central Limit Theorem and assume that the sample mean follows a normal distribution.

Given:

Mean diameter of the population (μ) = 134 millimeters

Standard deviation of the population (σ) = 8 millimeters

Sample size (n) = 44

Difference from the population mean (d) = 3.6 millimeters

To find the probability, we need to calculate the z-score and then find the corresponding area under the normal curve.

First, calculate the standard error of the mean (SE):

SE = σ / sqrt(n)

SE = 8 / sqrt(44) ≈ 1.206

Next, calculate the z-score using the formula:

z = (x - μ) / SE

For a difference of 3.6 millimeters, we have:

z = (3.6 - 0) / 1.206 ≈ 2.988

Using a standard normal distribution table or a calculator, we can find the area to the right of the z-score (greater than 2.988). The area represents the probability.

P(z > 2.988) ≈ 0.0014

Rounding to four decimal places, the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.

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Answer:

second term: 9

4th term:81

[tex](3rd \: term)^{2} = 9 \times 81[/tex]

=729

[tex] \sqrt{729} = 27[/tex]

3rd term=27

[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]

a1=3 the first term

[tex]81 = 3 \times {q}^{3} [/tex]

[tex] {q}^{3} = 27[/tex]

q=3

[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]

Answer:

500,000

Step-by-step explanation:

Answer:

500,000

hope this is right

Let f(x) = y

y = 2^x

x = 2^y

Solve for y.

ln x = ln(2^y)

ln x = y ln 2

ln x/ln 2 = y

Replace y with f^(-1) x.

f^(-1) x = ln x/ln 2

We now know f(x) and f^(-1) x.

Use your graphing calculator to graph the function and its inverse on the same xy-plane. If you don't have a graphing calculator, use DESMOS online.

Good luck.  

Answer:

The  formula for the area of a parallelogram is base x height.

base x height = area

So, I will form an equation.  b (base)  x 3 ft (height) = 18 1/3

Next divide 3 from 18 1/3, so 18 1/3 divided by 3. This equals1 6 1/9

To check: 6 1/9 x 3 = 18.3333333333 or 18 1/3

Step-by-step explanation:

Answer:

y = 9

Step-by-step explanation:

Answer:

C. π ft ²

Step-by-step explanation:

:)

Answer:

c. 3.14^2

Step-by-step explanation:

A= pi × R^2

have a good day