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.
Please help me ASAP
Olivia deposit 6952 in a savings account paying 3.72% interest to the nearest dollar how much money does Olivia have in total after 16 years
9. What is the volume of this cube? (2 pts.) Show your work here.
Answer:
Volume = 27 cubic units
Step-by-step explanation:
First, the formula of volume is l x h x w.
Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.
Hope this helps!
On three days, Ben throws darts at a target.
Here are his results.
Number of hits
Number of misses
30
10
Number of throws
Monday
40
Tuesday
30
Wednesday
50
Total
120
18
12
36
14
84
36
(1)
a) Use Tuesday's results to estimate the
probability of Ben hitting the targe.
b) Use the total of the results to estimate the
probability of Ben of hitting the target.
c) Which estimate would give the most reliable probability?
A- the one from Tuesday or B - the one from the Total?
(1)
(1)
Total marks: 3
Answer:
0.6 ;
0.7
Reaukt in B will give a better estimate because it has a larger sample size (120) than the result on A ,with sample size (30)
Step-by-step explanation:
Probability of hitting the target using Tuesday's result :
P(hitting the target):
Probability = required outcome / Total possible outcomes
Required outcome = number of hits = 18
Total possible outcomes = number of throws =. 30
Hence, Probability of hitting the target using Tuesday's result : 18 / 30 = 0.6
B.)
Probability of hitting the target using Total result:
Required outcome = number of hits = 84
Total possible outcomes = number of throws =. 120
= 84 / 120
= 0.7
plz help me due today
Answer:
2976 in³
Step-by-step explanation:
Stool volume = upper smaller prism + Lower bigger prism
Stool volume = 8 x 6 x 12 + 20 x 12 x 10 = 576 + 2400 = 2976
check: volume = 20 x 12 x 16 - 12 x 12 x 6 = 2976
pls HELP ASAP PLS HELP
What figure has one endpoint and continues without end on one direction?
Group of answer choices
A. line
B. line segment
C. ray
D. point
Answer:
Step-by-step explanation:
b line segment
Three friends drove radio controlled cars around a track. The table below shows the number of laps
completed by each person and the time it took.
Kaitlin
Keiko
Ann
Time (minutes)
9
7
5
Number of laps
54
28
25
Write the number of laps completed per minute for each person. Then determine who drove the fastest.
Number of laps completed per minute by Kaitlin:
Number of laps completed per minute by Keiko:
Number of laps completed per minute by Ann:
Select the person who drove the fastest.
Kaitlin
O keiko
Ann
3x + 2 + 11x
It must be simplified
Answer:
14x+2
Step-by-step explanation:
3x+11x = 14x then +2 is left over so it's 14x+2
Please help my daughter has been stuck on this for the pass hour now
Answer:
algebraic expression: 3x + 2b
coefficients: 3 and 2
variables: w and b
# of terms: 2
constant: 0
algebraic expression: 6xy - 2c + 4
coefficients: 6 and -2
variables: x, y, and c
# of terms: 3
constant: 4
algebraic expression: 2/3 y - 3p
coefficients: 2/3 and -3
variables: y and p
# of terms: 2
constant: 0
Answer:
Problem 1:
Coefficients are : 3 & 2
Variables are: w & b
Number of terms: 2
Constant: none
Problem 2:
Coefficients are : 6 & -2
Variables are: xy & c
Number of terms: 3
Constant: 4
Problem 3:
Coefficients are : [tex]\frac{2}{3}[/tex] & -3
Variables are: y & p
Number of terms: 2
Constant: none
Step-by-step explanation:
Okay, lets break this down.
An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :
A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.
The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.
Variable: A letter used to determine an unknown value such as x
Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :
[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]
Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
With all of that said, lets look at the problems given:
Problem 1:
Coefficients are : 3 & 2
Variables are: w & b
Number of terms: 2
Constant: none
Problem 2:
Coefficients are : 6 & -2
Variables are: xy & c
Number of terms: 3
Constant: 4
Problem 3:
Coefficients are : [tex]\frac{2}{3}[/tex] & -3
Variables are: y & p
Number of terms: 2
Constant: none
I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!
I’m getting brainlest
Answer:
Female
Step-by-step explanation:
...look at those numbers dude
The eccentricity of the conic
section shown is?
Answer: The eccentricity of the conic section shown in the given picture = 0
Step-by-step explanation:
The eccentricity of a conic is measure to determine how un-circle a conic section.
In the given picture, we have a circle.
A circle has an eccentricity of zero.
Therefore, the eccentricity of the conic section shown in the given picture = 0
Normal distribution: Area between two points You might need: Calculator, Z table A set of mathematics exam scores are normally distributed with a mean of 80.2 points and a standard deviation of 4 points What proportion of exam scores are between 82 and 85.6 points? You may round your answer to four decimal places.
Answer: .2379
Step-by-step explanation:
Answer: 0.2379
Step-by-step explanation:
0.9115 - 0.6736 = 0.2379
Ryan has 8 kittens. Two are white. What fraction of the kittens are not white? Write in simplest form
Answer:
3/4
Step-by-step explanation:
If 2 out of 8 of the kittens are white, than 6 aren't white. That fraction would be 6/8 but when you simplify you get 3/4.
The answer is 3/4 of the kittens are not white.
This a simplifed version of 6/8 which is the complement of 2/8, the amount of white kittens.
Hope this helps, if not, comment below please!!!
:L
NEEP HELP NOW
Working with vertical and adjacent angles I don’t need the awnsers I need someone to explain how to write it down and Awnser. PLZZ
,.Answer:
Step-by-step explanation:
find the slope of the line through the points (10,6) and (-1,8)
Answer:
-2/11
Step-by-step explanation:
In 2013 number of students in a small school is 284.it is estimated that student population will increase by 4 percent
Write form for student population
Estimate population in 2020
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
2)Kendra is 3 times her daughter's age plus 7 years, Kendra is 49 years old. Write an equation to find her daughter's age. (2)
Answer:
Equation: 49 = 3x + 7
Answer: x = 14
Step-by-step explanation:
Let Kendra's daughter's age be denoted by the variable, x.
Set the equation. Note that:
Kendra is 49 years old.
Kendra is 3 times her daughter's age (x) plus 7 years.
Equation: 49 = 3x + 7
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 7 from both sides of the equation:
49 (-7) = 3x + 7 (-7)
49 - 7 = 3x
42 = 3x
Next, divide 3 from both sides of the equation:
(42)/3 = (3x)/3
x = 42/3
x = 14
14 is your answer.
~
At a certain conference the information technology session and the social media session occur at the same time so it is impossible for an attendee to sit in on both sessions. If the probability that an attendee sits in on the information technology session is 0.11, and the probability that an attendee sits in on the social media session is 0.62, what is the probability that an attendee sits in on the information technology session or the social media session?
Answer:
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Step-by-step explanation:
What is the probability that an attendee sits in on the information technology session or the social media session?
They cant be in both sections simultaneously, so this probability is the sum of each probability.
0.11 = 11% probability that an attendee sits in on the information technology session
0.62 = 62% probability that an attendee sits in on the social media session
0.11 + 0.62 = 0.73
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
PLEASE HELP WITH EXPLAINING I WILL MARK BRAINIES!!!
Walking Two Dogs
Katie walks her dog every morning and she always walks at the same average speed.
She walks 1% miles in a half hour.
1. What is her average speed in miles per hour?
Explain how you found your answer.
2. In the evening, Katie walked her dog for 12 hours at the same average speed.
How far did they walk?
Explain how you found your answer.
3. On Saturday, Katie walked her dog for a total of 5%/4 miles, traveling at their same average spee
How long did it take them?
Explain how
you
found
your answer.
Answer: 3 mph
Step-by-step explanation:
1. 1/2 mph for 1/2 an hour as they said, meaning that they would've walked for 3 miles kn an hour.
2. 4 and 1/2 miles.
3 + 1 2/4. = 4 1/2
3. 1 3/4 hours.
3 + 2.25 = 5.25
3 x .75 = 2.25
3 miles per hour.
PLS HELP QUICK I NEED THIS TO PASS
Suppose the probability of failure in a binomial experiment is 0.15. What is
the probability of success?
A. 0.65
B. 0.35
C. 0.85
D. 0.75
Answer is 0.85
Answer:
C
Step-by-step explanation:
Like you said, the answer is 0.85.
Graph the line with the given slope that passes through the given point.
(a) slope: 2 point: (1, 3)
Answer:
y= 2x + 3/2
Step-by-step explanation:
First, place a point on (1,3).
Since slope is rise/run, move your pencil up 2 units and to the right one. Place a point there. Repeat until you reach your desired length.
"The director of special events for Sun City believed that the amount of money spent on fireworks displays for the Fourth of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion.
4th of July ($000) Fall Festival (000) 4th of July ($000) Fall Festival (000)
8.0 6.8 12.0 9.5
6.0 6.4 7.5 10.4
12.0 11.6 9.0 6.6
10.5 10.2 10.6 10.1
8.5 6.0 10.0 6.1
12.5 11.1 7.5 9.0
9.0 7.5 10.0 12.6
5.5 8.4
a-1. Compute and report the regression equation that predicts "fall festival attendance" with "amount spent on Fourth of July fireworks". (Round your answers to 2 decimal places.)
a-2. Report the coefficient of determination. (Round your answer to 2 decimal places.) %
a-3. Interpret the regression coefficient. (Round your answer to 4 decimal places.)
b. Evaluate the regression assumptions based on an analysis of the residuals .
The regression assumptions based on an analysis of the residuals is_______.
Answer:
ŷ = 0.52X + 3.99 ;
0.26 ;
0.5123
Step-by-step explanation:
4th of July :
8.0
6.0
12.0
10.5
8.5
12.5
9.0
5.5
12.0
7.5
9.0
10.6
10.0
7.5
10.0
Fall festival :
6.8
6.4
11.6
10.2
6.0
11.1
7.5
8.4
9.5
10.4
6.6
10.1
6.1
9.0
12.6
Using technology, the regression equation which predicts fall festival attendance with amount spent on 4th of July fireworks is ;
ŷ = 0.52X + 3.99
Coefficient of determination ; R² is 0.26
This means that about 26% of variation in the fall festival attendance is explained by the regression line.
The regression Coefficient, R = sqrt(R²) = sqrt(0.2625) = 0.5123
This depicts that a faiy strong positive correlation exists between the amount spent on 4th July fireworks and the fall festival attendance.
Please help and fill out please
Look at picture
Find the circumference of a circle and round your answer to the ness test tenth
Answer:
9) 56.5
10) 43.98, so rounds to 44.0
11) 71.6
12) 23.9
13) 69.1
14) 50.3
Step-by-step explanation:
Circumference is 2[tex]\pi[/tex]r.
9) 56.5
10) 43.98, so rounds to 44.0
11) 71.6
12) 23.9
13) 69.1
14) 50.3
4) Mitzi is 64 inches tall and casts a 48 inch shadow. Her daughter, who is standing next to her,
casts a 30 inch shadow. How tall is her daughter?
a) 47.5 in.
b) 40 in.
c) 35 in
d) 22.5 in.
I
Answer:
She is 46 inches tall!
Step-by-step explanation:
What is the product of (3+square root of 7)(3-square root of 7)
( 3 + √ 7 ) ( 3 − √ 7 ) = 2 Explanation: You can simplify this expression by using the formula for the difference of squares a 2 − b 2 = ( a − b ) ( a + b ) In your case, you ca say that a = 3 and b = √ 7 . This means that you have ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 2 − ( √ 7 ) 2 = 9 − 7 = 2 Alternatively, if you don't know the formula for the difference of squares, you can rewrite this expression by expanding the parantheses ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 ⋅ 3 − 3 ⋅ √ 7 + 3 ⋅ √ 7 − √ 7 ⋅ √ 7 Once again, the result will be 3 ⋅ 3 − √ 7 ⋅ √ 7 = 3 2 − 7 = 2
at what rate per annum a sum of Rs 25000 amount to Rs 26250 in 6 months.
Answer:
Rate = 10%
Step-by-step explanation:
Given:
Amount deposit = 25,000
Amount get = 26,250
Time = 6 month = 6 / 12 = 0.5 year
Find:
Rate
Computation:
Interest = Amount get - Amount deposit
Interest = 26,250 - 25,000
Interest = 1,250
Interest = P x R% x T
1,250 = 25,000 x R% x 0.5
Rate = 10%
Explain step by step how to use the horizontal method the multiple the two polynomials
Answer:
Step-by-step explanation:
Multiply each term of the first polynomial with the second polynomial. Then combine the like terms.
(3a² + 5a - 2)* (5a² -3a + 4)
= 3a² *(5a² -3a + 4) + 5a*(5a² -3a + 4) - 2*(5a² -3a + 4)
=3a²*5a² - 3a*3a² + 4*3a² + 5a*5a² - 3a*5a + 4*5a + 5a²*(-2) - 3a*(-2) + 4*(-2)
=15a⁴ - 9a³ + 12a² + 25a³ - 15a² + 20a - 10a² + 6a - 8
= 15a⁴ - 9a³ + 25a³ + 12a² - 15a² - 10a² + 20a +6a - 8
= 15a⁴ + 16a³ - 13a² +26a - 8
If 26 feet 10 inches is cut from a wire that is 44 feet 8 inches long what is the length of wire that is left ?
Answer:
17 feet 10 inches
Step-by-step explanation:
Please see the attached image for the work!