A college student was offered two different summer jobs. Job A would last 20 weeks and pay $300
per week with weekly raises of $10. Job B would last 5 months and pay $1200 per month, with monthly
raises of 10% of the previous month's salary. How much more would the college student earn by
accepting Job A?

Answers

Answer 1

Answer:

600yan lang po thank you

Answer 2

Answer:

$574

Step-by-step explanation:

[tex]\begin{aligned}\text { week } 1=w_{1} &=300 \\w_{2} &=300+10=310 \\w_{3} &=310+10=320=300+2 \times(10)\end{aligned}[/tex]

It’s obvious here that we add 10 each time to get the next week’s payment so we Are dealing an arithmetic sequence where its first term is 300 and its

Common difference is 10

Then In the twentieth week the payment will be :

[tex]\begin{aligned}W_{20} &=w_{1}+(20-1) \times(10) \\&=300+19 \times(10) \\&=490\end{aligned}[/tex]

Now we apply the formula for the sum of Consecutives terms of an arithmetic sequence :

[tex]\begin{aligned}S_{1} &=20 \times\left(\frac{w_{1}+w_{20}}{2}\right) \\&=20 \times\left(\frac{300+490}{2}\right) \\&=7900\end{aligned}[/tex]

Now let move on to Job B:

[tex]\\\\\begin{aligned}\text { month1 }=& m_{1}=1200 \\m_{2} &=1200+1200 \times \frac{10}{100}=1200 \times(1,1)=1320 \\m_{3} &=m_{2} \times(1,1)=\left[m_{1} \times(1,1)\right] \times(1,1)=m_{1} \times(1,1)^{2} \\m_{4} &=m_{1} \times(1,1)^{3} \\m_{5} &=m_{1} \times(1,1)^{4}\end{aligned}[/tex]

It’s obvious here that we multiply by (1.1) each time to get the next month’s payment so we Are dealing a geometric sequence where its first term is 1200 and its Common ratio is 1.1

Now we apply the formula for the sum of Consecutives terms of an geometric sequence :

[tex]\begin{array}{l}S_{2}=m_{1} \times\left(\frac{1-1,1^{5}}{1-1,1}\right) \\\approx 7326\end{array}[/tex]

Finally we can say confidently say that he would earn more :

7900 - 7326 = $574.


Related Questions

Please help me with this question!

Answers

Answer:

c 30ft

Step-by-step explanation:

the shape would be a triangle, so you use the formula w^2+l^2=d^2

width is 16, diagonal is 34

1156=l^2+256

you subtract on both sider to get l^2= 900

square root of 900 is 30

Kayli made 3 times as many Peanut Butter
Cookies as Sugar Cookies. This can be modeled
using the equation below.

Answers

Answer:

p/3

Step-by-step explanation:

You can divide both sides by three.

P=3S

----/3

P/3=S

Thus, p/3 is the answer

What is the equation of this trend line?

Enter your answers by filling in the boxes.


please help me get into my dream school!

Answers

Answer:

Step-by-step explanation:

The line rises to the left so the slope is negative.

The slope m = -24/12 = -2.

Using the point-slope formula and taking the point (12, 0) on the line:

y - y1 = m(x - x1)   where m = -1, x1 = 12 and y = 0:

y - 0 = -2(x - 12)

y = -2x + 24   <------- this is the required equation.

Answer:

Blank 1 : -2

Blank 2 : 24

Step-by-step explanation:

The first blank denotes the rate of change, or the slope of the graph.

Slope = y₂ - y₁ / x₂ - x₁

m = 16 - 24 / 4 - 0m = -8/4m = -2Blank 1 : -2

The second blank denotes the value of variable K when the value of variable J is 0, or rather the y-intercept of the graph.

The y-intercept is clearly (0, 24)

Blank 2 : 24

The dimensions of a rectangular prism are given in the net shown. 7 in. x4 . 3 in. 5 in. 3 in.x 4 5 in. What is the total surface area of the rectangular prism in square inches? 71 in 2​

Answers

The total surface area of any given net of a rectangular prism = area of each rectangular face.

What is the Total Surface Area of a Rectangular Prism?

If we are given the net of a rectangular prism, the total surface area of the rectangular prism is the area of each rectangular face all summed together.

The image of the net of the rectangular prism is missing, however, let's assume the image attached below is the net of the prism.

Therefore, the total surface area of the rectangular prism = area of each rectangular face = 20 + 8 + 40 + 8 + 20 + 40 = 96 cm².

Learn more about the rectangular prism on:

https://brainly.com/question/1015291

Find the missing angle.

Answers

Answer:

36 degrees

Step-by-step explanation:

well it tells you both of the other angles, and a triangles angles always equal to 180 degrees, so its a simple as 111+33=144 and 180-144=36, so 36 degrees, is your missing angle.

If C is the midpoint of segment AT and AC=4x - 7 , how long is AT when CT=2x+5?

Answers

Answer: 34

Step-by-step explanation:

since the line is cut in half the sides equal

therefore

4x-7 = 2x+5

solve for x

4x = 2x + 12

2x = 12

x = 6

plug into either equation as they are both the same

4(6) - 7 = 17

if one half is 17 then the other half is 17

add the halves for the full line segment AT

AT = 17 + 17 = 34

Original price: ? Discount : 35% Sale price: $36

Answers

Answer:

$48.6

Step-by-step explanation:

35% x 36 = 12.6

36 + 12.6 = $48.6

Find the missing angle.

Answers

Answer:

85 degrees

Step-by-step explanation:

The angles in a quadrilateral add to 360 degrees, so x+109+96+70=360.

This means that x=360-109-96-70=85 degrees

Which of the following is biased?

a) the probability pulling a red marble from a bag with 10 red marbles 18 blue marbles and 6 green marbles

b) the probably of rolling a five on a
single die

c) the probability of drawing and ace from a standard deck of cards

d) the probability of getting heads from flipping a coin

Answers

Answer:

D

Step-by-step explanation:

Got it right on edge 2022

Find the sum of -50 + (-44) + (-38) + ... + 2038 + 2044.

Answers

Answer:

3950

Step-by-step explanation:

-50 + (-44) + (-38) + 2038 + 2044

-94 +  (-38) + 2038 + 2044

-132 + 2038 + 2044

1906 + 2044

3950
Hope this helps :)

Solution:

348950

Explanation:

first lets confirm, which series this is from,

( first term + third term )/2 = second term

(-50 + (-38) )/2 = -44-44 = -44

Thus it is arithmetic series.

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

Solving step-wise:

a₁ = -50aₙ = 2044n = ? = 350d = + 6

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

aₙ  = a₁ + d(n-1)2044 = -50 + 6(n-1)6(n) - 6 = 20946(n) = 2100n = 350

Here,

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]

[tex]\sf S_n =348950[/tex]

According to the Current Population Report of the United States census, 32. 3% of males aged 25 or older have earned a bachelor's degree or higher. Suppose that Nancy works for the city of Peoria, AZ. City officials have asked her to estimate the proportion of males aged 25 or older in Peoria who have earned a bachelor's degree or higher. They have requested that her estimate have confidence level of 95% and a margin of error of 2%, or 0. 2. Determine the sample size n needed for the 95% confidence interval to be no more than 0. 2. ​

Answers

Answer:

i did this on study island

Step-by-step explanation:

Pls help I’m really confused

Answers

I'll do problem 9 to get you started.

Refer to figure 1 shown below. I've highlighted triangle AOB in red. This is an isosceles triangle with AO = OB as the congruent sides. These sides are congruent because they are radii of the same circle. Consequently, it means that the base angles opposite those sides are congruent.

I'll let x be the base angles. I'll let the remaining interior angle be y. Furthermore, z is adjacent to angle y.

For triangle AOB, and any triangle really, the interior angles add to 180 degrees.

A+O+B = 180

x+y+x = 180

2x+y = 180

y = 180-2x

Then we can say

(angle AOB) + (angle AOP) = 180

y + z = 180

180-2x + z = 180

z = 180+2x - 180

z = 2x

The punchline here is that angle ABP doubles to angle AOP.

angle AOP = 2*(angle ABP)

You'll repeat these same type of steps for triangle BOC in figure 2. The steps are effectively identical so there's not much for me to explain that I already haven't done so. You should find that r = 2m which shows angle PBC doubles to angle POC.

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

To wrap everything up for problem 9, we will combine the results we found for variables z and r.

angle AOC = z+r

angle AOC = 2x + 2m

angle AOC = 2(x+m)

angle AOC = 2*(angle ABC)

This concludes the inscribed angle theorem proof. Any inscribed angle doubles to get the corresponding central angle, where both subtend the same arc. In this case, they both subtend the arc APC.

in a particular survey of internet users, 3605 resondents say that they use socail networking sites and 1306 respondents say that they do not use social networking sites. What is the probablity that a randomly selected person uses a social networking site

Answers

Answer:

73.4%

Step-by-step explanation:

First, find the total number of people:

3605+1306=4911 people

The formula for any probability is:

Part / Whole

3605 respondents out of the total 4911 people say they use a social networking site

3605/4911 = 0.7341

Multiply this by 100 to get a percent

Thus, 73.4%

Isaiah earned a score of 61 on Exam A that had a mean of 78 and a standard deviation
of 10. He is about to take Exam B that has a mean of 200 and a standard deviation of
50. How well must Isaiah score on Exam B in order to do equivalently well as he did
on Exam A? Assume that scores on each exam are normally distributed.

Answers

Answer:

isaiah must get a score of 115

A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other. How long is each piece?

Answers

Answer:

24 inches120 inches

Step-by-step explanation:

The lengths can be found by considering their ratio:

  short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

  1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

__

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

  s +5s = 144

  s = 144/6 = 24

  5s = 5(24) = 120

The lengths are 24 inches and 120 inches.

solve for x x^2 + 10x + 25 = 27

Answers

[tex]~~x^2+10x+25 = 27\\\\\implies x^2+2\cdot 5 x +5^2 = 27\\\\\implies (x+5)^2 = 27\\\\\implies x +5 = \pm\sqrt{27}\\\\\implies x = -5 \pm\sqrt{3\times 9}\\\\\implies x = -5 \pm3\sqrt 3\\\\\text{Hence,}~~ x = -5 + 3 \sqrt 3 ,~~~ x =-5-3\sqrt3[/tex]

What is the quotient of the division below? 96 divided by 3 = 13 23 31 32

Answers

Answer:

The answer is 32      

Step-by-step explanation:

9/3=3                                                                                                                                                 6/3=2                                                                                                                                                         32

Diego has budgeted $80 from his summer job earnings to buy gear for baseball. He needs a new mitt and new baseballs. The
mitt he wants cost $38. Each pack of baseballs cost $3.50.
A. Write an inequality that represents x, the number of packs of baseballs, that Diego can buy if there is no tax.

Answers

Answer:

X=^3.50
X=3/50
X=350<3.50>
Y= 2C/U-
es igual a Yx^2

Step-by-step explanation:

coronita plisss


Can anyone help me with my homework?

Answers

Do you understand what you’re meant to be doing? You have to substitute a number on the x column of your table into the equations. So for number 2, you multiply -2•6 which equals -12. And on number three you subtract 6-6 which is 0.

UREGENT!!!! HELP NEEDED !!! QUICKLY!!! FAST!!!!

You spend a $20 per turn on a fair game to win $40 for each win. You win the first two rounds and lose the third one.
What was the net payoff?


$20


$120


-$60


$140

Answers

Answer:

I think 20 is the answer tho I might be wrong

A Domino's large pizza is usually $10. With a coupon, you can get a large Domino's pizza for only $6. What is the percent decrease in the price of a large pizza at Domino's with the coupon?

Answers

Answer:

The percent decrease or discount she received was 40%

Step-by-step explanation:

Sarah bought 1250 grams of sugar. how many kilograms of sugar did she buy? A. 1.250 B. 12.50 C. 125.0 D 12500

Answers

Answer:

1.25 kg

Explanation:

1 kilograms is equal to 1000 grams

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

1 g = (1/1000) kg

======

So, 1250 gram = (1250/1000) kg

1250 gram = 1.25 kg
Total sugar in grams=1250g

We know

1kg=1000g

Now

Mass in kg:-

1250/10001.250kg

Option A

16. Twelve inches is what percent of a yard?

Answers

Answer:

There are 3 feet in one yard, so each foot is 1/3 of a yard/

To find the percentage of each foot, divide 1 by 3

One foot is 33 1/3 percent of a yard.

Twelve inches is 33.33 percent of a yard.

What is Percentage?

Percentage is defined as a number that can be expressed as a fraction of 100.

The statement is

Twelve inches is what percent of a yard

12 inches in terms of % yard

1 inch = 0.0277778 yard

12 inches = 0.333336 yard

In percentage = 33.33 % yard

To know more about Percentage

https://brainly.com/question/13450942

#SPJ2

help me bro fr i need dis done

Answers

Answer: 6^5 = 6^3 * 6^2

When your multiplying exponents, you just add the exponents. So, 3 should be the exponent in the box.

find the missing side.

1) 2304
2) 3600
3) 1296
4) 36

Answers

Answer:

option 4

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

BC² + AC² = AB² , that is

a² + 48² = 60²

a² + 2304 = 3600 ( subtract 2304 from both sides )

a² = 1296 ( take square root of both sides )

a = [tex]\sqrt{1296}[/tex] = 36

Answer:

[tex]hypotenuse {}^{2} = opposite {}^{2} + adjacent {}^{2} \\ let \: adjacent = x \\ 60 {}^{2} = {48}^{2} + {x}^{2} \\ {60}^{2} - {48}^{2} = {x}^{2} \\ 3600 - 2304 = {x }^{2} \\ 1296 = {x}^{2} \\ x = \sqrt{1296} \\ x = 36[/tex]

How many centimeters is 0.2 meters

Answers

Answer:

there are 20 centimeters in 0.2 meaters

Answer:

1 meter = 100 centimetres

0.2(meters) x 100(centimetres that make up 1 meter)

= 20 centimetres.

1.
y = 4x - 7
4x + 2y = -2

• show your work
• correct X and y

2.
4x^2 + 3 = 39
• show your work
• correct answers

Answers

Answer:

1)

x = 1

y = -3

2)

x = 3 or x = -3

Step-by-step explanation:

1)

System of equations, we plug in y to the second equation

[tex]4x + 2(4x-7) = -2\\4x+8x-14 = -2\\12x = 12\\x=1[/tex]

We then plug x back into the first equation to find y

[tex]y = 4(1) -7\\y = -3[/tex]

2)

[tex]4x^2 +3=39\\4x^2=36\\x^2=9\\x=3, -3[/tex]

Can someone help me with this question please?

Answers

Answer:

arc RS = 60°

Step-by-step explanation:

the secant- secant angle P is half the difference of ots intercepted arcs, that is

40° = [tex]\frac{1}{2}[/tex] (QT - RS ) ← multiply both sides by 2 to clear the fraction

80° = QT - RS

80° = 140° - RS ( subtract 140° from both sides )

- 60° = - RS ( multiply both sides by - 1 )

60° = RS

Write an equation in slope-intercept form of the line that passed through (-3,4) and (1, 4).
Show work

Answers

Answer:

y = 4

Step-by-step explanation:

Use slope intercpet form: y = mx + b

y = 4 I think I’m not sure and credits to the person on top of meee

factor with GCF
3x^2y + 6xy - 9xy^2

Answers

[tex]3x^2y+6xy-9xy^2\\\\=3xy(x+2-3y)[/tex]

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