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Related Questions
Zachary purchased a computer for $1,300 on a payment plan. Two months after he purchased the computer, his balance was $1,090. Seven months after he purchased the computer, his balance was $565. What is an equation that models the balance y after x months?
The equation ______ models the balance y after x months.
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Do not include the $ symbol in your answer.)
Answers
Answer:
\(y=-105x+1300\)
Step-by-step explanation:
Define the variables:
Let x be the number of months after Zachary purchased a computer.Let y be the balance of the payment plan (in dollars).Given information:
Purchase price of the computer = $1,300Balance = $1,090 after 2 months.Balance = $565 after 7 months.Therefore:
x = 0, y = 1300x = 2, y = 1090x = 7, y = 565\(\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}\)
Determine if the equation is linear by calculating the slope between each pair of (x, y) points:
\(\implies \text{Slope}\;(m)=\dfrac{565-1090}{7-2}=-105\)
\(\implies \text{Slope}\;(m)=\dfrac{1090-1300}{2-0}=-105\)
As the slope is the same, the equation is linear.
\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)
The initial purchase price of the computer was $1,300. So when x = 0, y = 1300. Therefore, the y-intercept is 1300.
We have already calculated the slope as -105.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation that models the balance y after x months:
\(y=-105x+1300\)
In 2016 49% of all degrees granted were bachelors degrees if 1,920,718 students earned bachelors degrees how many total degrees were granted that year
Answers
Answer:
3919832.65306Step-by-step explanation:
This problem is focused on percentages.
Now given that 49% of a number is 1,920,718
we can say let the number be x
so 49% of x= 1,920,718
now expressing this problem mathematically we have
(49/100)*x= 1,920,718
0.49x= 1,920,718
divide both sides by 0.49 we have
x= 1,920,718/0.49
x= 3919832.65306
Therefore the total that were granted degree that year was 3919832.65306
(9 − 3) · 4
......
.
.
.
.
.
.
Answers
Answer:
24
Step-by-step explanation:
(9-3)×4
(6)×4
The answer is 24
Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answers
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
1.) What was Jennifer's gross pay for the year?
2) How much did she pay in state income tax?
3.) How much did she pay in federal income tax?
4) The amount in Box 4 is incorrect. What dollar amount should have been entered in Box 4? (Hint: The
current tax rate for social security is 6.2% of the employee's income)
5 ) The amount in Box 6 is incorrect. What dollar amount should have been entered in Box 6? (Hint: The
current tax rate for Medicare is 1.45% of the employee's income.)
6.) How much was Jennifer's FICA tax?
Answers
1) Jennifer's Gross pay for the year is $34, 854.00
2) She paid the following as Income Tax: $1,762.39
3) Her Federal Income Tax was: $4,182.48
4) The correct Social Security Tax (box 4) is: $ 2,160.95
5) The correct Medicare deduction (box 6) is: $ 505.38
6) Jennifer's FICA Tax is given as (Social Security Tax + Medicare Tax). This is equal to $ 2,160.95 + $ 505.38
FICA = $ 2,666.33
Payroll Deductions
It is to be noted that all the taxes stated above are the various Payroll deductions to which an employee's Gross Pay is statutorily subjected.
After all, deductions have been made, the balance is called Net Pay.
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Notation: Segment YQand Notation: Segment XP are altitudes to the congruent sides of isosceles triangle WXY.
Select all the true statements.
Answers
Answer:
Isosceles triangle has two equal sides and two congruent bases.
Step-by-step explanation:
Isosceles triangle has three sides out of which two are equal. It has two congruent sides. The angle opposite to base is vertex. The two sides of the triangle are congruent and the angles opposite to these sides are also congruent. It is a special type of triangle which is also called equilateral triangle.
Calculate the probability for the following situation, then select the correct answer:
You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card greater than 6 (assume the ace is equal to 1) from the deck?
Answers
The probability is P = 0.135
How to find the probability?
First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.
P(head) = 1/2P(odd number) = 3/6 (there are 3 odd numbers on the dice)P(card greater than 6) = 28/52 (28 cards with numbers larger than 6).The joint probability is given by the product between the individual probabilities, so we get:
P = (1/2)*(3/6)*(28/52) = 0.135
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Use the drawing tool(s) to form the correct answers on the provided graph.
Graph the system of equations given below on the provided graph.
32+y
Then, use the Mark Feature tool to plot the solution to the system.
Drawing Tools
Select
Mark Feature
Line
Click on a tool to begin drawing.
=
-5
10-
80
92
3 Delete
Answers
The solution of the given system of equations is (-3, 4).
Given two linear equations.
2x - 3y = -18
3x + y = -5
Multiplying the first equation by 3 and the second equation by 2,
6x - 9y = -54
6x + 2y = -10
Subtracting the equations,
-11y = -44
y = 4
Substituting,
x = -3
The graph of the system of equations is given below.
Hence the solution is (-3, 4).
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can someone please tell me whether the answer is a, or b? or if it’s none of those. ty :)
Answers
Line ac and df are parallel they are cut by transversal Hj with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E
Answers
The measure of the unknown angles in the parallel lines AC and DF with transversal HJ are as follow,
m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.
Two lines AC and DF are parallel to each other in the attached figure
Transversal HJ cut lines AC and DF at point B and E respectively.
Measure of ∠ABE = 63°.
Using the result based on corresponding angles, alternate interior angles , and vertically opposite angles of a parallel lines we get,
Measure of ∠ABE ≅ Measure of ∠DEH ( corresponding angles)
⇒Measure of ∠DEH = 63°
Measure of ∠ABE ≅ Measure of ∠BEF ( alternate interior angles)
⇒Measure of ∠BEF = 63°
Measure of ∠ABE ≅ Measure of ∠CBJ ( vertically opposite angles)
⇒Measure of ∠CBJ = 63°
Using the result of linear pair angles,
Measure of ∠ABE + Measure of ∠CBE = 180°
⇒ Measure of ∠CBE = 180° -63°
⇒ Measure of ∠CBE = 117°
Measure of ∠CBE ≅ Measure of ∠FEH ( corresponding angles)
⇒Measure of ∠FEH = 117°
Measure of ∠CBE ≅ Measure of ∠BED ( alternate interior angles)
⇒Measure of ∠BED = 117°
Measure of ∠CBE ≅ Measure of ∠ABJ ( vertically opposite angles)
⇒Measure of ∠ABJ = 117°
Therefore, the measure of the seven unknown angles formed in the parallel line are given by m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.
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The above question is incomplete, the complete question is:
Lines AC and DF are parallel. They are cut by transversal HJ with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E.
In the attached figure.
There are 32 chickens and 12 sheep on a farm. The ratio of sheep to horses is 4:1. Write a ratio expressing the relationship between the chicken and the sheep. Then explain what that ratio means. Determine the number of horses on the farm.
Answers
This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:
\(12 * 0.25 = 3\)
What is ratio?Ratio refers to the quantitative relationship between two or more quantities, expressing the proportion of one quantity to the other(s). It is typically expressed as a fraction, where the numerator represents one quantity, and the denominator represents the other quantity.
For example, the ratio of the number of boys to the number of girls in a class of 30 students might be expressed as 2:3, which means there are 20 girls and 10 boys in the class. Similarly, the ratio of the length to the width of a rectangle might be expressed as 4:3, indicating that the length is four times greater than the width.
The ratio of sheep to horses is 4:1, which means that for every 4 sheep on the farm, there is 1 horse. We can also say that the total ratio of sheep and horses on the farm is 4+1=5.
To express the relationship between the chickens and the sheep, we need to use the fact that there are 32 chickens and 12 sheep on the farm. We can write this as a ratio:
\(chickens : sheep = 32 : 12\)
We can simplify this ratio by dividing both sides by 4:
\(chickens: sheep = 8: 3\)
This means that for every 8 chickens on the farm, there are 3 sheep.
To determine the number of horses on the farm, we can use the fact that the total ratio of sheep and horses is 5. We know that the ratio of sheep to horses is 4:1, so we can write:
\(sheep : horses = 4 : 1\)
We can simplify this ratio by dividing both sides by 4:
\(sheep : horses = 1 : 0.25\)
This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:
\(12 * 0.25 = 3\)
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You have 3 puppets. Your friend has 7 puppets.
How many fewer puppets do you have?
Answers
Answer: 4
Step-by-step explanation:
7-3=4
7-3 = 4
So you have 4 fewer puppets.
PLS HELP The histogram displays donations in dollars to a charity. A histogram titled Donations to Charity In Dollars with the x-axis labeled Donations. The x-axis has intervals of 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Number of Donations and starts at 0 with tick marks every one unit up to 5. There is a shaded bar above 10 to 19 that stops at 4, above 20 to 29 that stops at 3, above 30 to 39 that stops at 1, and above 50 to 59 that stops at 1. There is no shaded bar for 40 to 49. Which statement best describes the spread and distribution of the data?
The data is almost symmetric, with a maximum range of 49. This might happen if the charity suggested donation minimum of $35 and donors followed that.
The data is skewed, with a maximum range of 49. This might happen if the donations were only allowed in cash and many donors did not have much cash on them.
The data is bimodal, with a maximum range of 49. This might mean that the most popular amounts to donate were between 10 and 19 and 51 and 59 dollars.
The data is symmetric, with a maximum range of 59. This might happen if everyone donated a percent of their salaries.
Answers
Based on the given histogram, the data is skewed with a maximum range of 49.
This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.
One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.
Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.
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HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE
Answers
Answer:
b, c , a
Step-by-step explanation:
I am guessing
Answer:
B, C, D
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST JUST HELP ME PLEASE!!!!!
Answers
Answer:
B. The graph of K has a greater y-intercept
D. The graph of J has a greater slope.
Step-by-step explanation:
Given a table for function J and an equation for function K, you want to know which has the greater slope, and which has the greater y-intercept.
Y-interceptThe y-intercept is the value of the function when x=0. We see from the table that y=2 corresponds to x=0 for function J.
We see from the equation for function K that the constant is 8. This is the value of y when x=0.
Function K has the greater y-intercept (8 vs. 2).
SlopeThe slope is the change in y-value when x increases by 1 unit. We see from the table that y=7 when x=1, so the change in y from x=0 to x=1 is 7-2 = 5. The slope of function J is 5.
The equation for function K has an x-coefficient of 3. This means a change in x of 1 unit will result in a change in y of 3 units. The slope of function K is 3.
Function J has the greater slope (5 vs. 3).
Additional comment
Both functions are graphed in the attachment. The y-intercepts have their points labeled. The graph with the steeper slope is the blue line, function J.
Diego attempts a challenge where he will walk in a sequence of lines to create A ABD A CDB, as shown in the figure. According to the rules, he can traverse
each side only one time and he cannot jump from point to point. Which of the following statements are not true? Select all that apply.
D
B
☐A) The distance Diego travels from A to B is the same as the distance traveled from C to D.
☐B) The distance Diego travels from D
to B is the same as the distance traveled from C to D.
C) The distance Diego travels from A to B is the same as the distance traveled from B to C.
D) The angle Diego creates at ZBDA has the same measure as the angle he creates at ZBDC.
E) The angle Diego creates at ZDAB has the same measure as the angle he creates at ZBCD.
Answers
Statements B, C, and D are not true. Diego would travel a greater distance from D to B than from C to D. He would also create different angles at ΔBDA and ΔBDC, and the distance traveled from A to B would not be the same as from B to C.
According to the given figure, Diego attempts to walk in a sequence of lines to create ΔABD and ΔCDB. He can traverse each side only once and cannot jump from point to point. We need to determine which of the following statements are not true:
A) The distance Diego travels from A to B is the same as the distance traveled from C to D. This statement is not true because the distance from A to B is the sum of the lengths of AB and BD, whereas the distance from C to D is the sum of the lengths of CD and BD, and BD is being counted twice.
B) The distance Diego travels from D to B is the same as the distance traveled from C to D. We cannot determine the truth of this statement without more information about the lengths of the sides.
C) The distance Diego travels from A to B is the same as the distance traveled from B to C. This statement is not true because the distance from A to B is the sum of the lengths of AB and BD, whereas the distance from B to C is the sum of the lengths of BC and BD, and BD is being counted twice.
D) The angle Diego creates at ΔBDA has the same measure as the angle he creates at ΔBDC. This statement is not true because the angles at ΔBDA and ΔBDC are vertical angles, which are congruent, but not necessarily equal to each other.
E) The angle Diego creates at ΔDAB has the same measure as the angle he creates at ΔBCD. We cannot determine the truth of this statement without more information about the angles.
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A commuter plane provides transportation from an international airport to surrounding cities. One commuter plane averaged 260 mph flying to a city and 140 mph returning to the international airport. The total flying time was 4 h. Find the distance between the two airports.
Answers
Answer:
364 miles
Step-by-step explanation:
Rate Time Distance
Flight #1 260 x 260x
Flight #2 140 4-x 140(4-x)
Because each flight was to or from the same airports the distance traveled by flight #1 and flight #2 must be the same. This means that you can set the two calculated distances equal to each other.
260x = 140(4-x)
260x = 560 - 140x
400x = 560
x = 1.4 hours This is the amount of time flight 1 spent in the air.
now we can use this and plug it into the distance formula (260x) to find the distance
260(1.4) = 364
so the distance between the two airports is 364 miles
whats 10 x 34? please tell me
Answers
Answer:
340=10*340 calculated
Answer:
340
Step-by-step explanation:
i know math alot
What is the monthly payment on a 15-year loan of $57,900 if the annual interest rate is 12%?
Answers
Fill in the boxes to add the expressions.
(5.19+4m)+(4.18+3.95m) = (4m+_)+(5.19+_)=_
Answers
Using common factor method, sum of the given expressions is 17.14m + 9.37
what is common factor ?
In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.
In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.
According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:
(5.19 + 4.18) + (4m + 3.95m)
9.37 + 7.95m
So, the sum of the expressions is:
(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m
Now, we can use the distributive property to factor out a common factor of m from 7.95m:
9.37 + 7.95m = 4m + (5.19 + 7.95)m
We can factor out a common factor of 1 from (5.19 + 7.95)m:
4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m
Adding the coefficients, we get:
4 + 5.19 + 7.95 = 17.14
Therefore, the sum of the expressions is:
(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.
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In the accompanying diagram of AABC, DE is parallel to BC. If AD = 3, DB = 6, and DE = 5, what is the length of BC?
Answers
Answer:
BC = 23.8
Step-by-step explanation:
A house increased in value by 36 percent since it was purchased. If thw current value is 306000 what was the value when it was purchased
Answers
Because I did the math
You pick a card at random. Without putting the first card back, you pick a second card at random.
6,7,8,9
What is the probability of picking a 6 and then picking a 9?
(Write you answer as a fraction or whole number)
NEED ASAP PLS!!!!!
Answers
Answer:
1/12 is the correct answer
The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6100 graduate management programs worldwide. The mean sore for all test‑takers is 550 with a standard deviation of 120. A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550. She has a random sample of 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation σ=120. The null and alternative hypotheses are H0:µ=550 versus Ha:µ<550.
Required:
State the null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines.
Answers
Answer:
H₀: μ = 550 vs. Hₐ: μ < 550.
Step-by-step explanation:
A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.
The mean sore for all test‑takers is μ = 550 with a standard deviation of σ = 120.
A random sample of n = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.
The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:
H₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. μ = 550.
Hₐ: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. μ < 550.
Mental math what is 90 x 20
Answers
Answer:
1800
Step-by-step explanation:
90*20=1800 because 9*2=18 add two zeroes and ur done
Hope this helps
Answer:
1,800
Step-by-step explanation:
90 x 20
9 x 2=18
18+00
1,800
Plz give Brainiest
You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble 3 out of 20 times. What is the experimental
probability that the next marble will be red?
Answers
Answer:
\(P(Red) = \frac{3}{20}\)
Step-by-step explanation:
Given
\(Red = 3\)
\(Trials = 20\)
Required
Determine the experimental probability of next marble being red
This is calculated as:
\(P(Red) = \frac{n(Red)}{Trials}\)
Substitute values for n(Red) and Trials
\(P(Red) = \frac{3}{20}\)
Train travel 25 miles in four hours at this rate how many miles will the train travel in 1/2 hour
Answers
Answer:
i think the train would travel 3.125 in 1/2 an hour
Step-by-step explanation:
Find theta in radians
Answers
Answer:
0.4636 radians
Step-by-step explanation:
To find theta in radians, we need to use the inverse tangent function, also known as arctangent. From the right triangle in the image, we have:
tangent(theta) = opposite/adjacent = 10/20 = 1/2
Taking the inverse tangent of both sides, we get:
theta = arctan(1/2)
Using a calculator or a trigonometric table, we find:
theta ≈ 0.4636 radians
Therefore, theta is approximately 0.4636 radians
The probability of getting heads on a single coin flip is ;
2
The probability of getting nothing but heads
on a series of coin flips decreases by
2
for each additional coin flip. Enter an exponential function for the
probability p(n) of getting all heads in a series of n coin flips. Give your answer in the form a (b)'. In the
event that a = 1, give your answer in the form (b)'.
Answers
person examines 10 roses; all of which are red, and concludes that all roses are red. What type of reasoning
Answers
Answer: Inductive reasoning.
Step-by-step explanation:
This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").