Answer:
C) y = 10 + 0.75x
Step-by-step explanation:
y is the total cost.
x is the amount of rides you go on.
The table represents some points on the graph of a linear function.
x −1 −0.5 2 3.5 5
y 6.5 5.25 −1 −4.75 −8.5
Which equation represents the same relationship?
y=2.5x−4
y=−2.5x+4
y=−4x+2.5
y=4x−2.5
In the equation above, what is the value of x?
4x/5=20
Answer:
4x/5=20
4x=4
4x/4=4/4
X=1
What is the value of the expression 6 and 3 over four multiplied by negative 11. 5?.
The value of the expression (6¾) × -11.5 is; -77⅝
We want to find the value of;
(6¾) × -11.5
Let us change 6¾ to improper fraction to get;
27/4
Also,let's change -11.5 to an improper fraction to get; -115/10
Thus;
(6¾) × -11.5 = 27/4 × -115/10
>> (-115 × 27)/(40)
>> 3105/40
>> -77⅝
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Please show step by step how to solve the problem in Excel with the formula and not in Excel.
1.) Kate wants to purchase a car for $505.76 monthly payments for the next 5 years. Kate qualifies for a 4.3% loan. How much does the car cost?
Answer: 27,261
Use Excel to find PV (present value) of these monthly payments.
Excel PV formula: =PV(rate,nper,pmt,fv)
Use the number of monthly payments (years *12) for the nper and the monthly interest rate (rate/12).
Please show step by step how to solve the problem in Excel with the formula and not in Excel.
Answer: 437
2.) M wants to buy a used car for $23,099. If M wants to pay it off in 5 years, how much will she have to pay each month with an annual interest rate of 5.1%? Post answer as a positive amount.
PVOA = PMT x [1 - (1 /(1 + k)n ) / k] x ( 1 + k)
or use the PMT function in Excel. =PMT(rate,nper,pv,fv)
Remember for monthly payments, the nper = years * 12 and the annual interest rate must be divided by 12.
Thank you.
Problem 1
PMT = 505.76 = monthly payment
k = monthly interest rate in decimal form
k = 0.043/12 = 0.003583333 (approximate)
n = 5*12 = 60 months
PVOA = present value of ordinary annuity
PVOA = PMT * ( 1 - (1+k)^(-n) )/k
PVOA = 505.76 * ( 1 - (1+0.003583333)^(-60) )/0.003583333
PVOA = 27,261.436358296
When rounding to the nearest dollar, we get $27,261
Your teacher made a mistake in choosing the formula. S/he mixed up present value ordinary annuity with annuity due. The (1+k) portion at the end is ignored. I rewrote the 1/( (1+k)^n ) sub-portion as (1+k)^(-n) to avoid a bit of clutter.
--------
To type this into excel we will write
=PV(0.043/12,5*12,505.76,0,0)
That will produce the result of -27,261.44. The negative is to indicate a cash outflow.
Don't forget about the equal sign up front when writing excel formulas.
=====================================================
Problem 2
L = loan amount = 23099
k = interest rate per month = 0.051/12 = 0.00425 exactly
n = number of months = 5*12 = 60 months
PMT = monthly payment
PMT = (Lk)/(1 - (1 + k)^(-n) )
This formula is the result of solving PVOA = PMT * ( 1 - (1+k)^(-n) )/k for "PMT". The PVOA value is the loan amount in this case.
Let's plug in the values mentioned
PMT = (Lk)/(1 - (1 + k)^(-n) )
PMT = (23099*0.00425)/(1 - (1 + 0.00425)^(-60) )
PMT = 436.965684557303
PMT = 437 when rounding to the nearest whole number
--------
To do this in excel, we type in
=PMT(0.051/12,5*12,23099,0,0)
The output should be -436.97 which rounds to -437.
The value is negative to represent a cash outflow, but your teacher mentions to post the answer as a positive value.
Melanie is making a piece of jewelry that is in the shape of a right triangle. The two shorter sides of the piece of jewelry are 6 mm and 8 mm. Find the perimeter of the piece of jewelry. 18 mm 24 mm 22 mm 20 mm
What do the results tell us about the population of all celebrities? O A. The results tell us that all celebrities are expected to have amounts of net worth approximately equal to one of the measures of center found in parts (a) through (d). O B. Apart from the fact that all other celebrities have amounts of net worth lower than those given, the results in parts (a), (b), and (d) do not given meaningful results.
The result of population of all celebrities tell us option (C)Apart rom the fact that all other celebrities have amounts of net worth lower than those given nothing meaningful can be known about the population
The results obtained from the given information only provide limited information about the net worth of a small sample of celebrities. The measures of center, such as mean, median, mode, and midrange, provide a snapshot of the sample data but cannot be used to draw conclusions about the entire population of all celebrities. For instance, the most common net worth found in part c only provides information about the net worth that is the most frequent in the given sample, but it does not give us an idea of the range of net worth that exists in the population of all celebrities.
To make any meaningful conclusions about the population of all celebrities, a more comprehensive and representative sample needs to be considered. A larger sample size would allow us to capture the diversity of net worth that exists among celebrities. Additionally, the sample should be chosen in such a way that it is representative of the entire population of all celebrities. Only then can we use statistical measures to provide reliable insights into the net worth of all celebrities.
Therefore, the correct option is (C) Apart rom the fact that all other celebrities have amounts of net worth lower than those given nothing meaningful can be known about the population
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The given question is incomplete, the complete question is:
What do the results tell us about the population of all celebrities'? 。A. The results tell us that all celebrities are expected to have amounts of net worth approximately equal to one of the measures of center found in parts a through d 。B. part o the act that all other celebrities have amounts of net worth lower than those given, the results in parts a), b), and d) do not given mean full results. However, the result from part c) shows that the most common celebrity О С Apart rom the fact that all other celebrities have amounts of net worth lower than those given nothing meaningful can be known about the pop a n. 。D. The results tell us that the most common colet rity net worth is the mode, but all other celo ritios are expected to have net worths approximat hy equal to the mean, median, or midrange
3(x + 5) = 18
what is x
Step-by-step explanation:
3x + 3 × 5 = 18
3x + 15 = 18
3x = 18 - 15
3x = 3
x = 3/3
x = 1
13. Myleen is looking at a flagpole at a 58° angle. If she is sitting 20 feet from the base of the
flagpole, how tall is the flagpole? ( sin 58° = 0.8480; cos58° = 0.5299; tan 58° -1.600)
A. 10.5 ft
B. 17 ft
C. 26 ft
D. 32 ft
The height of the flagpole is 16.96 ft or 17 ft using the angle of elevation .
What is angle of elevation ?
The angle of elevation is the angle between the horizontal line of sight and the line of sight up to an object.
Here ,
angle of elevation is 58 degree.
And distance of Myleen from base of flagpole = 20 ft.
So, the height of flagpole = 20*sin(58°)
= 20 * .8480
= 16.96
≈ 17 ft.
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A photo has a side length 4 inches and 6 inches in length. After the enlargement the length becomes 5 more inches what is the length of the photo
Before the enlargement, the photo has a side length of 4 inches and 6 inches.
After the enlargement, the length of the photo becomes 5 more inches.
Let's analyze the given information:
Original length: 4 inches
Original width: 6 inches
Enlarged length: Original length + 5 inches
To find the length of the photo after the enlargement, we add the 5 inches to the original length:
Enlarged length = Original length + 5 inches
= 4 inches + 5 inches = 9 inches
Therefore, the length of the photo after the enlargement is 9 inches.
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new tables created with the make-table query retain the field ____ of the underlying table(s).
New tables created with the make-table query retain the field data type of the underlying table(s).
What is a table?Tables and graphs are visual representations of data that are used to organize data and reveal patterns and relationships. Tables and graphs are frequently used by researchers and scientists to report research findings.
A make table query retrieves data from one or more tables before loading the results into a new table. That new table can live in the database you're currently working in, or it can be created in a different database. Make table queries are typically used when you need to copy or archive data.
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In a class of 30 students, 14 rode the bus to school. What is the ratio of students who rode the bus to students who used other types of transportation to get to school?
Answer:
7:15. It is 7:15 simplified. Students who rode the bus to students who used other types of transportation simplified
Perform the indicated operations,and designate answer using thelisting methodsLet u = {1,2,3,4,5,6,7}, L={1,3,5,73 M = { 1, 2,3}N={2,3,4,5,6}(Mn Ľ)'UN'
A line intersects the points (4, 3) and (11, -4). What is the slope of the line in simplest form? m = [?]
Answer: M=1
Step-by-step explanation:
hope this help!
What is the volume of this sphere? responses 8π cm³ 8 pi, cm³ 16π cm³ 16 pi, cm³ 27π cm³ 27 pi, cm³ 36π cm³
The volume of a sphere with a radius of 3cm is 113.04 cm³, which is approximately equal to 36π cm³. So, the correct option is D).
The formula for calculating the volume of a sphere, V = 4/3πr³, is used to find the amount of space enclosed by a sphere with a given radius. In this case, the sphere has a radius of 3cm. By substituting this value into the formula, we can solve for the volume of the sphere.
V = 4/3πr³
V = 4/3 × 3.14 × 3³ = 113.04 cm³
= approximately 36π cm³
The result is 113.04 cm³, which is approximately equal to 36π cm³. This calculation is important in many applications, such as engineering, physics, and mathematics. The correct answer is D).
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_____The given question is incomplete, the complete question is given below:
What is the volume of sphere r = 3cm? responses A 8π cm³ 8 pi, cm³ B 16π cm³ 16 pi, cm³ C 27π cm³ 27 pi, cm³ D 36π cm³
is (ab)c = a(cb). True or False
Answer:
true
Step-by-step explanation: You are multiplying all numbers (ab)*c is basically a*b*c and a(cb) is basically a*b*c. [gimme 5-star :)]
given a sample size of 49 test tubes, establish a type i error risk of 2% and find the ¯xx¯ cutoffs for accepting μ
Given a sample size of 49 test tubes, with a Type I error risk of 2%, the cutoffs for accepting μ can be determined using the appropriate statistical formula.
To establish a Type I error risk of 2%, we need to find the cutoffs for accepting or rejecting a null hypothesis regarding the population mean (μ) based on a sample size of 49 test tubes.
First, we determine the critical values associated with the desired significance level. Since the distribution is not specified, we assume a normal distribution for the sample mean due to the Central Limit Theorem.
Using a standard normal distribution, we find the z-score that corresponds to a 2% (0.02) Type I error risk divided equally in both tails:
z = invNorm(0.02/2) ≈ -2.326
Next, we calculate the cutoffs for accepting μ by adding and subtracting the margin of error from the sample mean:
Cutoffs = ¯x ± (z * (σ/√n))
Since the sample size is 49 and the population standard deviation (σ) is not provided, we may approximate it using the sample standard deviation (s) if available.
Once we have the values of ¯x, s, and σ (if known), we can substitute them into the formula to calculate the cutoffs for accepting μ.
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What percent of 24 seconds to 4 hours?
Also can you add them label it would help a lot.
:)
24 seconds is approximately 0.17% of 4 hours. The percentage of 24 seconds to 4 hours, we can start by converting both values to the same units.
To find the percentage of 24 seconds to 4 hours, we can start by converting both values to the same units. One hour is equal to 3600 seconds, so 4 hours is equal to:
4 hours * 3600 seconds/hour = 14,400 seconds
Now we can express the ratio of 24 seconds to 14,400 seconds as a fraction and convert it to a percentage:
(24 seconds / 14,400 seconds) * 100% ≈ 0.17%
Therefore, 24 seconds is approximately 0.17% of 4 hours.
Here's how you could label the calculation:
24 seconds is what percent of 4 hours?
24 seconds / 14,400 seconds = 0.00167 or 0.167%
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whats 50 times 100 the answer
Answer: 50 * 100 = 5000
Step-by-step explanation:
a simple way of multiplying numbers that are a 1 with zeros is by simply moving the zeros from that number to the other number
100 has 2 zeros, so you ad them to the 50. 50 with 00 is 5000
Answer: 5O x IOO = 5OOO
Step-by-step explanation:
5OOO, think of it like 5 x 1, 5 x 1 = 5, now add 3 zero’s since there are 3 zeros.
Central Market sells 5 jars of jam for $3.00. Valley Market sells jars of jam at 59 cents per jar. Yasmin bought 10 jars from Central Market, and Nadia bought 10 jars from Valley Market.
Answer:
Yasmin will spend $6
Nadia will spend $5.9
Step-by-step explanation:
Step one:
the cost of 5 jars at Central market is $3
the cost of 1 jar = 3/5= $0.6
60 cents per jar
we are told that Valley Market sells jars of jam at 59 cents per jar.
$0.59
Step two:
If Yasmin buys 10 jars from Central Market,
Yasmin will spend = 10*0.6= $6
If Nadia buys 10 jars from Valley Market.
Nadia will spend = 10*0.59= $5.9
The market difference is 6-5.9= $0.1
Nicole made 36 out of 48 shots she attempted at basketball practice. What
percent of the shots did she miss?
Answer:
75%
Step-by-step explanation:
Put the number of shots she made as to the numerator and the shots there were as the denominator: 36/48
We must reduce this fraction to the lowest terms.
36/48 ÷ 12/12 = 3/4
3/4 as a percent is the same as 75/100 or 75%
Answer: 75%
Answer:
She had missed 75%
Step-by-step explanation:
36/48 shots is equal to 75/100
which equals 75%
what is the slope of the line thats models this situation ?
Answer:
-5
Step-by-step explanation:
Answer:
-5 is the answer
Step-by-step explanation:
-5 is the answer
Identify the reflection rule in the given figure.
A. Reflection along the line y = –1
B. Reflection along x-axis
C. Reflection along y = 1
D. Reflection along y-axis
Answer: A) Reflection along the line y = -1
===========================================================
Explanation:
Point A is at (1,5). Point A' is at (1,-7).
Apply the midpoint formula to find the center of these two points.
You should get (1,-1) as that midpoint.
Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)
Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.
Find the median.......
Answer:
(i) mean: 5.4 median: 5.5 mode: 8
(ii) mean: 4.6 median: 5 mode: 5
(iii) mean: 17.5 median: 4 mode: 4
Step-by-step explanation:
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1,500 people were surveyed and 30 out of every
100 people surveyed have freckles. Based on the
results of this survey, how many people do not
have freckles?
URGENT PLEASE HELP ME !!!!
Answer:
CO
Step-by-step explanation:
Conditional: If p, then q.
Converse: If q, then p.
Conditional: If the measure of an angle is 90 degrees, then it is a right angle.
If p, then q.
p = the measure of an angle is 90 degrees
q = it is a right angle
Converse:
If q, then p.
If it is a right angle, then the measure of the angle is 90 degrees.
Answer: CO
Solve the triangle. Angle A is opposite side a, Angle B is opposite side b, and angle C is opposite side c. Round final answers to nearest 10th
Given data : side a = 18, side c = 27, angle A = 29 degrees.
Solving a Triangle:
A triangle is a convex polygon having three sides and three angles. Solving a triangle means finding the value of three of the six measurements when we know three of these measurements. The six measurements in a triangle are the lengths of three sides and the measure of three angles. In the given three measurements one of them must be the length of the side because by only knowing the angles we cannot find the length of the sides.
For solving the triangles we generally use the law of sines which states that sinAa=sinBb=sinCc
where, A,B,C
denotes the measurements of angles of the triangle and a,b,c
denotes the lengths of the sides opposite to the angles respectively.
Another important law used is the law of cosines which directly gives equations that relate the cosine ratio of an angle and lengths of the sides. It is a generalization of the Pythagoras theorem. It is given as, c2=a2+b2?2abcosCa2=b2+c2?2bccosAb2=a2+c2?2accosB
The approximate values triangle for angle B, angle C, and side b are B ≈ 54.4 degrees, C ≈ 96.6 degrees, and b ≈ 36.8 units, respectively, rounded to the nearest 10th.
Given data:
Side a = 18
Side c = 27
Angle A = 29 degrees
Step 1: Find angle B using the law of sines:
sin(B)/c = sin(A)/a
sin(B)/27 = sin(29°)/18
sin(B) = (27sin(29°))/18
B = arcsin((27sin(29°))/18)
Step 2: Find angle C using the fact that the sum of angles in a triangle is 180 degrees:
C = 180° - A - B
C = 180° - 29° - B
Step 3: Find side b using the law of sines:
sin(C)/c = sin(A)/a
sin(C)/27 = sin(29°)/18
sin(C) = (27 × sin(29°))/18
b = (sin(C) × a)/sin(A)
Step 4: Substitute the given values into the equations and calculate the approximate values using a calculator:
B ≈ arcsin((27 × sin(29°))/18) ≈ 54.4 degrees
C ≈ 180° - 29° - 54.4° ≈ 96.6 degrees
b ≈ (sin(96.6°)*18)/sin(29°) ≈ 36.8
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The question is -
Solve the triangle. Angle A is opposite side a, Angle B is opposite side b and Angle C is opposite side c. Round final answers to the nearest 10th
Given data: side a = 18, side c = 27, angle A = 29 degrees.
“without using technology describe the end behavior of f(x) equals negative 3X to the 4th+ 7X squared -12 X +13” PLEASE HELP!!!!
Solve
1. x - 5 = 18
2. x + 2 = - 1.4
3. x-5.5=-8.2
4. 3.4 - x = 1.88
Answer:
---
Step-by-step explanation:
1. x-5=18
For this one, we add 5 to both sides, therefore canceling it out.
x-5=18
+5 +5
x=23
2. x+2=-1.4
Now for number 2, we subtract 2 from both sides.
x+2=-1.4
-2 -2
x=-3.4
3. x-5.5=-8.2
+5.5 +5.5
x=-2.7
4. 3.4-x=1.88
-3.4 -3.4
-x=-1.52
Now this gets a bit weird. The x is negative, but we can fix that. There was a secret 1 there all along.
-1x=-1.52
Just divide -1.
-1x=-1.52
/-1 /-1
x=1.52
---
hope it helps
market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers.
Market classes and grades are used to describe the quality and characteristics of agricultural products, including meat, poultry, fruits, and vegetables. True
They provide a common language for buyers and sellers to communicate about the characteristics, such as the age, sex, fat content, and muscling, of the product. Market classes and grades help ensure that buyers receive products that meet their quality standards and help sellers receive a fair price for their products. For example, beef is graded based on marbling, maturity, and lean color, with the highest grade being USDA Prime, followed by USDA Choice and USDA Select.
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Full Question: market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers. T/F
This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
Market classes and grades refer to the categorization and labeling of carcasses and products based on their quality and characteristics. These classifications use descriptive terminology that is understood by different groups of buyers, such as meat packers, wholesalers, retailers, and consumers. Market classes typically group animals based on their intended use, such as beef cattle for slaughter, while grades are assigned based on factors such as maturity, marbling, and fat content. This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
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Oceanside bike rental shop charges 14 dollars plus 6 dollars an hour for renting a bike. Melanie paid 62 dollars to rent a bike. How many hours did she pay to have the bike checked out?