Sarah is a computer engineer and manager and works for a software company. She receives a fixed annual increase in the number of projects she handles each year. She worked on 129 projects in the fourth year of her employment and 207 projects in her tenth year

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

You didn't say what you'll like to calculate but let me help out.

Fourth year = 129 project.

Tenth year = 207 projects

We can form this into an arithmetic progression

Tn = a + (n-1)d

4th year = a + 3d = 129 ........ i

10th year = a + 9d = 207 ....... ii

Subtract equation i from equation ii

6d = 78

d = 78/6 = 13

This means that 13 new projects are added every year

For the first year, the number of projects done was:.

a + 3d = 129

a + 3(13) = 129

a + 39 = 129

a = 129 - 39 = 90

She worked on 90 projects in the first year.


Related Questions

Which fraction is closest to 1/2

Answers

Answer:

7/13 is closest to 1/2

Since 1/26 is closest to zero, 7/13 is closest to 1/2.

Ig it can Maybe 2/3???

Marley used 7 cups of water to make 4 loaves of French bread. What equation can be used to model the total cups of water needed y for making x loaves of French bread? Write the equation in the form y =kx .

Answers

Answer:

[tex]\displaystyle y=\frac{7}{4}.x[/tex]

Step-by-step explanation:

Proportional Relationship

It's the type of relationships between two variables where their ratios are equivalent.

In a proportional relationship, one variable is always a constant value by the other. That constant is known as the constant of proportionality.

A proportional relationship between the variables x and y is written as:

y=k.x

For this problem, y represents the cups of water needed for making x loaves of French bread.

We know Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation:

7=k.4

Solving for k:

[tex]\displaystyle k=\frac{7}{4}[/tex]

The equation to model the problem is:

[tex]\mathbf{\displaystyle y=\frac{7}{4}.x}[/tex]

Which expression is not equivalent to the other three?
O 2x + 2+ 2x + 3x - 8
O 4 + 7x - 2
O-2 + 5x + 2x - 4
O ex-X-6

Answers

9514 1404 393

Answer:

  B.  4 +7x -2

Step-by-step explanation:

The simplified values of the expressions are ...

7x -67x +27x -67x -6

The second expression listed is not equivalent to the others.

Answer:

It's B. 4 + 7x - 2

Best of luck love

To celebrate the first day of school, Reagan brought in a tray of caramel brownies and walnut brownies. The tray had a total of 20 brownies, of which 10% were caramel. How many caramel brownies did Reagan bring?

Answers

Answer:

2 were caramel

Step-by-step explanation:

Rocky has 2 1/4 cups of flour in her pantry. If she needs 1 /2 cups to make a batch of cupcakes, how many batches will she be able to make? Practice

Answers

Answer:if she has 2 1/4 and needs 1/2 as many times as possible the answer is she can make two batches since 1/2x2=2 leaving a remainder of 1/4

Answer:

\large 1\frac{1}{2}

Step-by-step explanation

what is the slope of this equation? 6x+3y=24

Answers

Answer:

Slope of the given equation is

M = 8

The price of apples is $3.60 for 3 pounds. Write the price as a unit rate.

Answers

Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Please Help
This is the topic Reflections in Geometry. I just need the name of the reflection used for 9 - 14 and the coordinates for 15 - 18 ...Thank you

Answers

Answer:

A and c i did that but it was a diffrent question so i dont know

Step-by-step explanation:

Plz hurry I have 10:00 minutes. Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the
equation –2x+3-4-3 x2
*x=1
07-13
07-
3

Answers

Answer:

the first one

Step-by-step explanation: i think .   pls don't blame me if you get it wrong im just trying to help

Answer:

=  -8x-1

Step-by-step explanation:Let's simplify step-by-step.

−2x+3−4−3x(2)

=−2x+3+−4+−6x

Combine Like Terms:

=−2x+3+−4+−6x

=(−2x+−6x)+(3+−4)

=−8x+−1

Answer:

=−8x−1

Eight bottles of soda and four bags of chips cost $16. Six bottles of soda and 7 bags of chips cost $14. How much does a bottle of soda cost? How much does a bag of chips cost?

Answers

Answer: soda 1.75 dollars and chips is 0.50 dollars

Step-by-step explanation:you have to work out the question like a simultaneous equation so key s=soda and c=chips

8s+4c=16

6s+7c=14 make chips equal

56s+28c=112

24s+28c=56 Take the equations away

32s=56

S=56\32

S=7/4

S=1.75 sub that answer in the first equation

8*1.75=14

14+4c=16

4c=2

C=0.5

The copy machine in the teacher’s lounge can print 3 single-sided pages in 16 seconds. Mr. Adams has 25 students in his class, and has to give three one-page quizzes on Friday. How long will it take the machine to print all of Mr. Adams’ copies if he needs to print one copy of each quiz for every student?

Answers

Answer:

150 seconds

Step-by-step explanation:

if there perimeters are the same 8x (2) = (4x+10) 14

Answers

Answer:252

Step by step explanation:

db

What is the area of △MNP?
A. 40 m2
B. 60 m2
C. 68 m2
D. 127.5 m2

Answers

answer is B. 60 m2

Step-by-step explanation:

17²=15²+MP²

289=225+MP²

289-225=64

So... MP²=64.... MP=8

8×15= 120

120÷2=60

I need help with this problem

Answers

Answer:

in this case you can use protector also but

there is another way

Step-by-step explanation:

as we know sum of a triangle is 180 degree

so let's D= 2x,x

35+x+2x=180

3x+35=180

3x=180-35

3x=145

x=145÷3

x =46.06

may someone help me?

Whats 2/3 divided by 4

Answers

Answer:

(2/3) / 4 = 1/6 or 0.16666

Step-by-step explanation:

a boat travels 36 miles in one hour. what is it’s speed in miles per minute

Answers

Answer:

What they said

Step-by-step explanation:

From 20 miles to 11 miles (round to the nearest percent

Answers

Answer:

45%

Step-by-step explanation:

use with formula original mount snow amount original Mount you just plug in the numbers in the formula and now I'm so 20 - 11 is 9 multiply 8.45 by 102 converted into a percent 0.45 * 100 equals 45 the answer is 45%.

Write the statement "All right angles are congruent" in if-then form.

Answers

Answer:

If all right angles equal 90 degrees then all right angles are congruent.

if the angles are all right, then they are all congruent

What is the perimeter of the triangle?
2(x+3)
6x
4(x – 10)

Answers

Answer:

Step-by-step explanation:

12x-34

Add all the sides together

2(x+3) + 6x + 4(x – 10)

distribute:

2x+6 + 6x + 4x-40

and add:

12x-34

The mean distance of Venus from the sun is about 1.08 x 10^8 km. Write that number in standard form​

Answers

Answer:

It is 108,000,000

Step-by-step explanation:

You move the decimal 8 times to the right since it's a positive number!

What the slope of (0,5) and (8,2)

Answers

The answer is -3/8. the equation for that is m= y2-y1/x2-x1

Maura is going on a plane. She can't have a carry-on backpack that weighs more than 10 pounds. She weighed the items she wants to pack on a sensitive scale: book: 5.142 pounds, jacket: 3.6 pounds, backpack: 1.28 pounds. What is the total weight of these items? If all of these items are in her backpack, can she take all of these things?

Answers

Answer:

2.098 pounds total these pounds

-2( x - 3 ) = 8x -3( 5 + x )
find the value of x

Answers

Answer:

0.45

Step-by-step explanation:

Rob sells electronics and earns $625 per week, plus 12% of his sales. Last week, he sold $3250 worth of electronics. What was his total earnings for last week?

Answers

Answer:

$1,015

Step-by-step explanation:

Given that:

Weekly earning = $625

Commission = 12% of sales

sales made last week = $3250

Last week earning = weekly earning + commision on sale

Commission on sale = 12% of sales

Commission on sale = (0.12 * 3250) = $390

Last week earning = weekly earning + commision on sale

Last week earning = $625 + $390 = $1,015

ignore the top but please help. will ignore brainliest

Answers

Answer:

the in's are 6 7 and the outs are 12 and 0.2

Step-by-step explanation:

The subtotal for a TV was $1,029.99. What does that mean?

Answers

that’s the price of the tv without tax

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Answers

Answer:

t = 18

Step-by-step explanation:

thank me later

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Answers

Answer:

x= 1.5

Step-by-step explanation:

A school assembly had 25 students in attendance, and 20% of them were first-graders. How many first-graders were at the assembly?

Answers

Answer:

5

Step-by-step explanation:

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3 3/8 divided by 9=?
Help! Please! Thank you for your time!

Answers

Answer:

0.375

Step-by-step explanation:

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