David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500. How much would David make as a salary after 4 years working for the company? What would be his salary after t t years?
Answer:
After 4 years working for the company, he would make $79,000 of salary.
His salary after t years will be:
[te]S(t) = 69000 + 2500t[/tex]
Step-by-step explanation:
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500.
This means that after t years, his salary will be given by:
[te]S(t) = 69000 + 2500t[/tex]
How much would David make as a salary after 4 years working for the company?
[te]S(4) = 69000 + 2500*4 = 69000 + 10000 = 79000[/tex]
After 4 years working for the company, he would make $79,000 of salary.
what is the difference between 724,435 and 226,710
Answer:
The difference is:497,725
Step-by-step explanation:
what does f + t equal?
5500
10
900
Answer:
What is f & what is t?
Mary sells fruit with four of her friends. If the earnings are divided evenly
much must the business make in order for each person to earn $30?
In the problem above, how many partners are included in this business?
what is 33x2+3 who wants to zo om
Answer:
33x2=66
66+3=69
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
PEMDAS their are no parenthesis no exponents but their is multiplication 33 times 2 is 66 their is addition 66 plus 3 is 69
I need help with this question
double the second number, the sum is 34."
a. Write an equation that represents this clue. Then, find two possible pairs of
numbers Diego could be thinking of.
b. Diego then says, "If we take half of the first number and double the second, the
sum is 14."
Write an equation that could represent this description.
c. What are Diego's two numbers? Explain or show how you know. A coordinate
plane is given here, in case helpful.
20
18
16
14
12
second number
10
8
6
4
2
2 4 6 8 10 12 14 16 18 20
first number
Answer:
a.) 3x+2y=34 is the equation. 2 pairs could be 10,2 and 8,5.
b.) .5x+2y=14
c.) 8,5
Step-by-step explanation:
because both 8 and 5 work in both equations 3(8)+2(5)=34
.5(8)+2(5)=14
PLS HELP WILL GIVE BRAINIEST Which triangle makes this statement true?
WILL GIVE BRAINLIEST
Answer:
a.
Step-by-step explanation:
seen that before
Answer:
second question-heres answer
v20
convert v20 to a decimal 4.4721...
find the number in the hundredth place 7 and look one place to the right for the rounding digit 2.round up if this number is greater than or equal to 5 and round down if it less than 5
4.47
If the length of a rectangular prism is 6 meters , the breadth is 7 meters and the height is 9 meters , then determine the volume of the rectangular prism ( in cubic meters ) . Write the correct answer .
Answer:i don’t know
Step-by-step explanation:
please
8. A bakery is collecting data to investigate how changing the price charged for a loaf of bread
affects the bakery's daily profit. The graph shows the data the bakery has collected.
Bread Price vs. Daily Profit
1000
800
600
.
Daily Profit (Dollars)
.
.
400
.
.
200
0
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00
Price for One Loaf of Bread (Dollars)
Which quadratic function is the BEST model for the data?
A
8(1-4) - 800
В.
86
4) - 800
С
20001 - 1) --- 800
D
3000
4)- 800
The function that best models for the data is y = -200 (x-4)^2 + 800.
What is a function?A function is a mathematical expression that describes how factors are related. In this case, how the price is related to the profit.
How to determine if a function models the data?The best way to determine this is to solve the expression and verify if the answer is correct.
For example, we know that at 4 (x) dollars, the daily profit is $800 (y). Let's now the different options:
A.
y= -8 (x+4)^2 + 800y= -8 (4+4)^2 + 800y= -8 (8)^2 + 800y= -8 (36) + 800y=-8 (288) + 800y= -2304 + 800y= -1504B.
y= -8 (x-4)^2 + 800y= -8 (4-4)^2 + 800y= -8 (0)^2 + 800y= -8 (0) + 800y= 0 + 800y= 800C.
y= -200 (4+4)^2+ 800y= -200 (8)^2 + 800y= -200 (36) + 800y= -200 (36) + 800y= -7200 + 800y= -6400D.
y= -200 (x-4)^2 + 800y= -200 (4-4)^2 + 800y= -200 (0)^2 + 800y= -200 (0) + 800y= 0 + 800y= 800This means B and D are possible options, however, when verified with other results such as $6 the correct one is option D.
Learn more about bakery in: https://brainly.com/question/16421624
The quadratic equation is given by y = -200x² + 1600x - 2400.
Quadratic equation formulaThe standard form of the quadratic equation is:
y = ax² + bx + c
Where a,b,c are constants.
Let y represent the daily profit for x bread price.
At point (2, 0):
0 = a(2)² + b(2) + c
4a + 2b + c = 0 (1)
At point (4, 800):
800 = a(4)² + b(4) + c
16a + 4b + c = 800 (2)
At point (6, 0):
0 = a(6)² + b(6) + c
36a + 6b + c = 0 (3)
From all the equations:
a = -200, b = 1600, c = -2400
The quadratic equation is given by y = -200x² + 1600x - 2400.
Find out more on quadratic equation at: https://brainly.com/question/1214333
Find x.
(Someone pls help)
1.Martin runs 3/4 mile three days a week. How many miles does he run in four weeks?
2.Teresa measures 5/8 foot of ribbon for a costume. She needs seven pieces of ribbon with that same length. What is the total length of ribbon Teresa needs to make all the costumes?
3.Oscar spent 2/3 hour each night doing homework for five nights this week. How many hours of homework did Oscar complete this week?
4.Alexandra is following a recipe that requires 3/4 cup of water. She needs to make 10 servings. How many cups of water does Alexandra need?
WHO EVER ANSWERS GETS 75 POINTS.
Answer:
1) 9 miles. 2) 4.375. 3) 6. 4) 27.973.
How many quarter inches long is 7 3/4?
Answer:
31 quarter inches long
Step-by-step explanation:
First, there are four quarters in a fraction, so we have to do 7 x 4 to get 28. Then, you have to add 3 + 28 to get your answer, because of the remaining 3/4
Hope this helps!
A positive angle less than 360 degrees that is coterminal with -5 degrees is
Answer:
[tex]\theta = 355[/tex]
Step-by-step explanation:
Given
Let the angle be [tex]\theta[/tex]
[tex]\theta < 360[/tex]
[tex]\theta[/tex] is co-terminal with -5
Required
Find [tex]\theta[/tex]
Start by dividing 5 by 360 (ignore the negative)
[tex]\frac{5}{360} = 0.0138[/tex]
The nearest integer greater than 0.0138 is 1.
This implies that if you were to draw for this problem, the circle you would draw to show -5 degrees would go around 1 time
So, [tex]\theta[/tex] is calculated as:
[tex]\theta = -5 + 1*360[/tex]
[tex]\theta = -5 +360[/tex]
[tex]\theta = 355[/tex]
What is the value of x in the figure below?
A. 85°
B. 32°
C. 27°
D. 30°
Evaluate the expression if a = -2, b= 7. and c= -3
ac + b=
Answer:
13
Step-by-step explanation:
plug in the numbers
-2(-3) + 7 = ?
6 + 7 = ?
13
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Please help i have been trying to figure this out for like an hour
Answer:
B
Step-by-step explanation:
Since x varies directly as y, the ratio of x to y remains the same. Let the value of x when y=4 be a. Then we have
[tex]\dfrac {7 \frac12} {10} = \dfrac a4[/tex]
We can cross multiply to get that
[tex]10a = 30, \text{so } \boxed{a=3}[/tex]
Look at highlighted one. Help fast
Find the domain of the graphed function
Write equations of each line in slope-intercept form
Answer:
y=4/5x1
Step-by-step explanation:
Caroline earns $139.50 for 6 hours of work. If she makes a constant hourly wage, which table represents the relationship between the number of hours she works and her total earnings?
Answer:
Table A.
Step-by-step explanation:
$139.50 / 6 hours = $23.25 an hour
1 hour of work = $23.25 earned
(now add $23.25 for the next hour of work)
2 hours of work = $46.50 earned
(now add $23.25 for the next hour of work)
3 hours of work = $69.75
(now add $23.25 for the next hour of work)
4 hours of work = $93 earned
(now add $23.25 for the next hour of work)
5 hours of work = $116.25 earned
(now add $23.25 for the next hour of work)
6 hours of work = $139.50 earned
(now add $23.25 for the next hour of work)
7 hours of work = $162.75 earned
(now add $23.25 for the next hour of work)
8 hours of work = $186 earned
(now add $23.25 for the next hour of work)
9 hours of work = $209.25
(now add $23.25 for the next hour of work)
10 hours of work = $232.50
and continued on...
(I did ten hours of work to help out if you had to write the hours and money earned) I hope this helps :)
Roberto's parents opened a savings account for him by depositing $250 on his birthday. The account earns simple interest at an annual rate of 5%. How much will be in Roberto's account after 5 years
Answer:1250
Step-by-step explanation:250x5=1250
WILL GIVE BRAINLIEST PLEASE HELP: In rectangle ABCD the diagonals intersect each other at point O and m ABD = 30 degrees. Find BC if AC = 16 in.
Answer:
8
Step-by-step explanation:
We know that ABD is 30 degrees. To find BC, we need to use sin.
Equation:
BC = 16*sin(30 degrees) I recommend using a calculator to find the sine if you don't know what it means and how to use it. Sine is basically the side length opposite of the angle over the hypotenuse of the right triangle.
BC = 16*0.5
BC = 8
Sorry, I couldn't find an image.
Hope this helps!
3. People with type O-negative blood are universal donors (any patient can
receive a transfusion of O-negative blood). Only about 6.6% of the American
population has O-negative blood. If 270 unrelated people give blood in a certain
week, how many of these people do we expect to be universal donors? (Hint:
Remember to convert percent numbers to decimals before multiplying.)
PLEASE HELP
Answer:
We expect 17.82, that is, approximately 18 people to be universal donors.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are universal donors, or they are not. The probability of a person being an universal donor is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Only about 6.6% of the American population has O-negative blood.
This means that [tex]p = 0.066[/tex]
If 270 unrelated people give blood in a certain week, how many of these people do we expect to be universal donors?
This is E(X) when [tex]n = 270[/tex]. So
[tex]E(X) = np = 270*0.066 = 17.82[/tex]
We expect 17.82, that is, approximately 18 people to be universal donors.
2x+ 20 + 3x +40 =
60 + 5X
Marcy sees a game, Rolling-in-gold, in which a constant rolls in a cube with five red sides one gold side. A player wins the game by rolling a gold. Is rolling-in-gold a fair game? If not, how could the game be made fair? Explain
Answer:
It's not fair, because it's only a 1 in 6 chance of rolling gold. It would be fair if 3 of the 6 sides were gold.
Find the value of x
NEED HELP ASAP PLS NO FILE DROPS OR I WILL REPORT THANKS
Answer:[tex]x=15[/tex]
Step-by-step explanation:
Angles that are opposite from each other are going to be the same in this case.
Let's plug in 15 into x
[tex]4(15)+8\\60+8\\68[/tex]
the sum of three times the square of a number and -7
Answer:
3x² - 7
Step-by-step explanation:
3 times (number squared) and sum with (-7)
3 times x² and add (-7)
3x² + (-7)
3x² - 7
the quotient of nine more than eight times a number and seventeen
Answer:
x < -1
Step-by-step explanation:
Let the unknown number be x
nine more than sum of eight times a number and seventeen, is expressed as;
9 > 8x + 17
Subtract 17 from both sides
9 - 17 > 8x+17-17
-8 > 8x
8x < -8
Divide both sides by 8
8x/8 < -8/8
x < -1
Hence the quotient is x < -1