MATHEMATICS HIGH SCHOOL

After college start you start a job earning 38,000 a year. You get a 5% raise each year.A.) Write the first 3 terms of the sequence.
B.) How much will you earn over a 40 year period?
Show all work

Answers

Answer 1
Answer: Hi

38000+5%=39900

So 40x5=200
39900+200%=119700

so if he works there for 40yrs he would earn $119700 a yr 

119700/12=1641.66667per month 

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there are two numbers that are 3 times as far from 19 as they are from 11. the sum of the two numbers is?

Answers

To find one number, solve (x - 19) = 3(x - 11) .

To find the other number, solve (19 - x) = 3(x - 11) .

It turns out that the numbers are 7 and 13 .

Their sum is 20 .

A right triangle has a hypotenuse of length 59 and one leg of length 23. Part A: Determjne the angle measure of the other two acute angles in the triangle. Round to the nearest hundredth.

Part B: Determine the side length of the other leg.

Answers

Answer:

Part A) The measure of the other two acutes angles are =67.06\° and 22.94\°  

Part B) The side length of the other leg is equal to 54.33\ units

Step-by-step explanation:

Part A)

see the attached figure to better understand the problem

we know that

In the right triangle ABC

cos(A)=(AB)/(AC)

substitute the values

cos(A)=(23)/(59)

A=arccos((23)/(59))=67.06\°

Remember that

A+C=90\° -------> by complementary angles

C=90\°-67.06\°=22.94\°    

Part B)

Applying the Pythagoras Theorem

CB^(2)=AC^(2)-AB^(2)

substitute

CB^(2)=59^(2)-23^(2)

CB^(2)=2,952

CB=54.33\ units

Someone, please help me with this

Answers

Answer:

C = (0, 6)

E = (7, 0)

F = (0, -7)

Step-by-step explanation:

Answer: F is (0,-7)

C is (0,6)

E is (7,0)

Step-by-step explanation:

PLS HELP3. There are 35 bees in the hive when it is first observed on Saturday. After 3 days, there are 42 bees. It is determined that the population of bees increases exponentially.
How many bees are will there be after 30 days? Express your answer as an exact value and rounded to the nearest whole number

Answers

Answer:

210

Step-by-step explanation:

it increases by 7 so 7 times 30 days will be 210

Melinda and Paul shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paul shoveled for 25 minutes to complete 345 square feet of driveway.30x + 30y = 450
20x + 25y = 345
How much more can Paul shovel in 1 minute than Melinda?

3 square feet per minute
6 square feet per minute
9 square feet per minute
15 square feet per minute

Answers

Melinda and Paul shovel driveways and sidewalks in the winter as a way to earn extra money. Melinda can shovel in 1 minute and Paul can shovel in 9 square feet per minute. 

Answer: Hello mate!

we have the system of equations

30x + 30y = 450

20x + 25y = 345

where x is the number of square feet of snow that Melinda shovels in one minute, and y is the number of square feet of snow that Paul shovels in one minute.

Let's solve the system of equations, first, isolate one of the therms in the first equation, for example, x.

30x+30y = 450

x + y = 450/30 = 15

x = 15 - y

now we can replace it in the second equation and solve it for y.

20x + 25y = 345

20(15 - y) + 25y = 345

300 - 20y + 25y = 345

5y = 45

y = 45/5 = 9

Paul can shovel 9 square feets of snow in one minute, now replace it in the first equation and solve it for x.

x + y = 450/30 = 15

x + 9 = 15

x = 15 - 9 = 6

so melinda sholves 6 square feet of snow in one minute.

The question is:

How much more can Paul shovel in 1 minute than Melinda?

We need to see the difference y - x = 9 - 6 = 3

this means that paul shovels 3 more square feet per minute than Melinda.

What is 1/20 divided by 5/8?

Answers

Answer:

160/5 or 32

Step-by-step explanation:
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