Propane tanks can be filled at the Sunshine Gas Company for
$7.50 per tank if customers pay a one time membership fee of
$10. Which formula best describes the total cost C in dollars
of filling T propane tanks at the member price (including the
membership fee)?
A А
C = 11T + 7.50
с
C = 7.50T + 10
B
C = 17.50T
D
C = 10(7.50 +T)
Answers
Related Questions
Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
Answers
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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Evaluate the equation. d - 4.12 = 12.8
A) d = 8.58
B) d = 8.68
C) d = 16.92
D) d = 17.02
Answers
Answer: i think its D
Step-by-step explanation:
when commercial aircraft are inspected, wing cracks are reported as nonexistent, detectable, or critical. the history of a particular fleet indicates that 69% of the planes inspected have no wing cracks, 21% have detectable wing cracks, and 10% have critical wing cracks. five planes are randomly selected. (round your answers to three decimal places.) (a) find the probability that one has a critical crack, two have detectable cracks, and two have no cracks. 0.063 correct: your answer is correct. (b) find the probability that at least one plane has critical cracks.
Answers
The probability of two planes having no cracks is 0.063 and The probability of no plane having critical cracks is 0.405.
(a) The probability of one plane having a critical crack is 10% or 0.10. The probability of two planes having detectable cracks is (0.21)^2 = 0.0441. The probability of two planes having no cracks is (0.69)^2 = 0.4761. So, the desired probability is 0.10 * 0.0441 * 0.4761 = 0.063.
(b) To find the probability that at least one plane has critical cracks, we can use the complementary probability approach, i.e., finding the probability that no plane has critical cracks and then subtracting it from 1. The probability of no plane having critical cracks is (0.90)^5 = 0.595. So, the desired probability is 1 - 0.595 = 0.405.
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my child is an elementary school student I don't see that option under graded subjects is this not for elementary School students??
Answers
To know which girl ate the most, we have to compare the two fractions.
To be able to compare the fractions, we can:
1.- We convert to decimal numbers.
2.- We modify the fractions such that both fractions have the same denominator.
To compare the fraction we will change them in a way that both have the same denominator.
Recall that a fraction represents the same number if we multiply it and divide it by the same number.
Notice that:
\(\frac{3}{6}=\frac{3}{6}\times\frac{8}{8}=\frac{24}{48},\)\(\frac{4}{8}=\frac{4}{8}\times\frac{6}{6}=\frac{24}{48}\text{.}\)Since both fractions are the same, we can conclude that both girls ate the same amount.
Answer: 3/6 is equal to 4/8.
Both girls ate the same amount
Which other rotation can be used to create triangle x’y’z’ from triangle xyz? 90° clockwise 270° clockwise 270° counterclockwise 360° counterclockwise
Answers
The transformation may also be achieved by rotating C: 270 degrees counterclockwise. This is the alternate rotation that can be employed.
What kind of rotation do you use?We can observe that the pattern of transformation is as follows by transforming the coordinates of the triangle XYZ to the coordinates of the triangle X'YZ'.
(x, y) ——-> (-y, x)
This pattern of transformation takes place when the following conditions are met:
There is a rotation of 90 degrees in the clockwise direction. Nevertheless, there is another rotation that may be utilized to accomplish this, and that is a 270-degree rotation counterclockwise.
270° counterclockwise: This rotation would take a triangle xyz and rotate it 270° counterclockwise around a point. The resulting triangle x'y'z' would be in a different position than the original triangle, but would have the same shape and size.
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CQ
Triangle XYZ is rotated 90° counterclockwise using the origin as the center of rotation.
Which other rotation can be used to create triangle X’Y’Z’ from triangle XYZ?
90° clockwise270° clockwise270° counterclockwise360° counterclockwise'Image is attached
if f(x)=x^2-4 find f(6)
Answers
Answer:
f(6) = 32
Step-by-step explanation:
Substitute x = 6 into f(x) , that is
f(6) = 6² - 4 = 36 - 4 = 32
An economy package of cups has 460 green cups. If the green cups are 20% of the total package, how many cups are in the package?
Answers
Helppppppp helpppppppp
Answers
Answer:
8^12
Step-by-step explanation:
8^7×8^5
add the exponents
7+5=12
keep the base
8^12
slips of paper containing the numbers 1 , 2 , … , 10 are put in a hat. two slips are drawn at random without replacement. what's the probability that their sum is 5 ? (a) 1 45 (b) 1 25 (c) 2 45 (d) 1 30 (e) 2 55
Answers
The probability that the sum of two slips drawn at random without replacement from a hat containing slips numbered 1 to 10 is 5 is (d) 1/30.
To determine the probability, we need to count the number of favorable outcomes (pairs of slips whose sum is 5) and divide it by the total number of possible outcomes (all pairs of slips that can be drawn without replacement).
There are three favorable outcomes: (1, 4), (2, 3), and (3, 2). These pairs add up to 5.
To calculate the total number of possible outcomes, we consider that the first slip can be any of the 10 numbers, and the second slip can be any of the remaining 9 numbers (since we are drawing without replacement). Therefore, there are 10 * 9 = 90 possible outcomes.
The probability is then given by 3 (favorable outcomes) divided by 90 (possible outcomes), which simplifies to 1/30. Therefore, the probability that the sum of the two slips is 5 is 1/30, corresponding to option (d).
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The probability that the sum of the numbers on the two drawn slips is 5, is 2/45.
Explanation:The subject of this question is probability. We have to find the probability that the sum of two randomly drawn slips is 5. The possible ways of drawing two slips whose sum is 5 are (1,4), (4,1), (2,3) and (3,2). So, there are 4 successful outcomes. The total number of outcomes is 10 choose 2, which is 45. Hence, the probability is the number of successful outcomes divided by the total number of outcomes. Thus the probability that the sum of the numbers on the two drawn slips is 5 equals 4/45 = 2/45. So, the correct answer is (c) 2/45.
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Can anyone help me out on this please?
Simplifying rational expressions.
Answers
Answer:
A
Step-by-step explanation:
Cost for x shirts in a week (4x+150) divided by the shirts made in a week (x)
would be represented by A
Answer:
A is correct.
Step-by-step explanation:
The expression 4x + 150 represents the cost of manufacturing x shirts in a week. If x shirts are made in a week, the expression \(\frac{4x+150}{x}\) (Answer A) represents the manufacturing cost per t-shirt (that's why we divide by x) where x shirts are made in a week (that's why we divide by just x, not 7x, because we're talking about 1 week, not 7 days)!
list all two-digit numbers that can be written using only the digits 1, 5, and 6. list the numbers separated by a comma, but make sure that there is no comma after the last number. (that results in marking the answer as wrong).
Answers
The two-digit numbers that can be written using only the digits 1, 5, and 6 are 11, 15, 16, 51, 55, 56, 61, 65, and 66. They can be listed as follows:11, 15, 16, 51, 55, 56, 61, 65, 66
Note that there is no comma after the last number to avoid marking the answer wrong.
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Which of the following is not a factor of the polynomial p(x) = x³ - 23x² + 142x - 120?
Options :
A(x - 1)
B(x - 10)
C(x - 5)
D(x - 12)
no spam answers and explain how you got the solution.
Answers
Answer:
The correct answer is C- (X-5)Solution
Given -
polynomial p(x) = x³ - 23x² + 142x - 120
Now see the coefficients
coefficient of x³ is 1 x² is -23 x is 142 and then -120
when you'll add this coefficients
i.e.
1-23+142-120=0
When sum of the coefficient turn out 0 then x = 1
using x=1, x-1 = 0
devide the given polynomial p(x) = x³ - 23x² + 142x - 120 by x-1 you'll get rest two factors hence
Answer is option C
Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the time (in weeks), x. Round all values to the nearest hundredth.
Use the model to approximate the amount in the account after 15 weeks. Round to the nearest hundredth.
Use the model to approximate how long it would take to have $50.00 in the account.
Answers
The regression equation is \(\^y = 1.56\^x + 1.29\), and it will take 31 weeks to have $50.00
(a) The linear regression equation
To do this, we make use of a graphing calculator;
From the graphing calculator, we have the following calculation summary:
The sum of X = 45 The sum of Y = 83 Mean X = 4.5 Mean Y = 8.3 Sum of squares (SSX) = 82.5 Sum of products (SP) = 128.5The regression equation is then represented as:
\(\^y = b\^x + a\)
Where:
\(b = \frac{SP}{SSX}\) and \(a = M_Y - bM_X\)
So, we have:
\(b = \frac{128.5}{82.5}\)
\(b = 1.55758\)
Approximate
\(b = 1.56\)
\(a= 8.3 - (1.56 \times 4.5)\)
\(a= 1.29091\)
Approximate
\(a= 1.29\)
This means that, the regression equation is \(\^y = 1.56\^x + 1.29\)
(b) Predict the time to have $50.00
This means that:
\(\^y = 50\)
So, we have:
\(50 = 1.56\^x + 1.29\)
Subtract 1.29 from both sides
\(48.71 = 1.56\^x\)
Divide both sides by 1.56
\(31.22 = \^x\)
Rewrite as:
\(\^x = 31.22\)
Approximate
\(\^x = 31\)
Hence, it will take 31 weeks to have $50.00
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Honey is $7. 99 for 3 pounds. What is the price for 5 pounds?
Answers
The price for 5 pounds of honey is $13.32.
Unitary method is a mathematical technique used to solve problems related to proportions and ratios.
To find the price for 5 pounds of honey, we can use a proportion:
Price of 3 pounds of honey / 3 = Price of 1 pound of honey
We can use this equation to find the price of 1 pound of honey, and then multiply by 5 to find the price of 5 pounds of honey.
Price of 3 pounds of honey / 3 = 7.99 / 3
Price of 1 pound of honey = 2.6633 (rounded to 4 decimal places)
Price of 5 pounds of honey = 2.6633 x 5 = $13.32 (rounded to 2 decimal places)
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Find the average rate of change of g(x)=
–
12x+1 over the interval [
–
7,
–
1].
Answers
Answer:
12
Step-by-step explanation:
average rate
\(=\frac{g(-1)-g(-7)}{-1-(-7)} \\=\frac{[12(-1)+1]-[12(-7)+1]}{-1+7} \\=\frac{[-12+1]-[-84+1]}{6} \\=\frac{-11+83}{6} \\=\frac{72}{6} \\=12\)
Your favorite basketball player is a 71% free throw shooter. Find the probability that he doest NOT make his next free throw shot.
Answers
The probability that a basketball player with a 71% free throw shooting accuracy does not make his next free throw shot is 29%.
The probability that a basketball player with a 71% free throw shooting accuracy does not make his next free throw shot.
To calculate the probability of missing a free throw shot, we need to subtract the shooting accuracy percentage from 100%.
In this case, the probability of making a free throw is 71%, which means the probability of missing the free throw is 29%.
Therefore, the probability that the basketball player does not make his next free throw shot is 29%.
It is important to note that free throw shooting accuracy can vary depending on the player's physical and mental condition, as well as external factors such as the audience's noise, the game's pressure, and the distance from the basket.
Thus, it is crucial for basketball players to train and practice regularly to improve their shooting skills and increase their chances of making free throw shots.
To answer this, we need to consider the complement of the success probability.
Since the player has a 71% chance of making the free throw, it means there is a 29% chance that he will not make it (100% - 71% = 29%).
The probability can also be expressed as a decimal, which is 0.29 (29/100 = 0.29).
Therefore, the probability that your favorite basketball player does not make his next free throw shot is 29% or 0.29.
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raza! ayuda es para ahoraaaa
Answers
The requried solution of the respective complementary angles mentioned in the exercise has been given.
What is complementary angles?Complementary angles are two angles whose measures add up to 90 degrees. In other words, if angle A and angle B are complementary, then A + B = 90 degrees.
Here,
Since in the whole exercise expression for the complementary angles are given we have to determine the unknowns.
As we know the sum of complementary angles is 90,
So.
1.
x + 45 = 90
x = 45
2.
72 + x = 90
x = 90 - 72
x = 18
Similarly,
3
x + 23 = 90
x = 67
4.
81 + x = 90
x = 9
5.
x + 17 = 90
x = 73
6..
x + 43 = 90
x = 47
7.
x + 77 = 90
x = 13
8.
x + 68 = 90
x = 22
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the width of a rectangle is 5 inches less than the length. The area is 80 square inches. Find the length and the width.
Answers
Use the graph or table to write a linear function that relates y to x.
X -1 0 1 2
y -4 0 4 8
Answers
Answer:
y = 4x
Step-by-step explanation:
From the table, using the coordinate points (-1, -4) and (0,0)
Get the slope;
m = y2-y1/x2-x1
m = 0-(-4)/0-(-1)
m = 4/1
m = 4
Get the intercept b;
Substitute m = 4 and (0,0) into y = mx+c
0 = 4(0) + c
c = 0
Get the required equation;
y = mx+b
y = 4x + 0
y = 4x
Hence the required equation is y = 4x
PLEASE HELP QUICK WILL MARK BRANLIEST
Answers
Answer:
A, C, and B. In that order
Rickets Vitamin D is essential for strong, healthy bones. Our bodies produce vitamin D naturally when sunlight falls upon the skin, or it can be taken as a dietary supplement. Although the bone disease rickets was largely eliminated in England during the 1950s, some people there are concerned that this generation of children is at increased risk because they are more likely to watch TV or play computer games than spend time outdoors. Recent research indicated that about 20% of British children are deficient in vitamin D. Suppose doctors test a group of elementary school children.
a) What’s the probability that the first vitamin D– deficient
child is the eighth one tested?
b) What’s the probability that the first 10 children tested
are all okay?
c) How many kids do they expect to test before finding
one who has this vitamin deficiency?
d) They will test 50 students at the third-grade level. Find
the mean and standard deviation of the number who
may be deficient in vitamin D.
e) If they test 320 children at this school, what’s the
probability that no more than 50 of them have the vita- min deficiency?
Answers
Answer:
Our wide range of vitamins, minerals and health supplements help to ensure you’re getting the nutrients you need every day. From chewable vitamins to food supplements, hair vitamins to vitamins for skin and folic acid. There is something for everyone to support a healthy lifestyle, whilst improving wellbeing for you and all the family.
help pleassee!!!!!!!
Answers
Answer:
The correct answer is 5.672 x 10^3
Step-by-step explanation:
change the exponent for 3.28 x 10^2, and you get 0.328 x 10^3, and then subtract normally, which gets you 5.672 x 10^3
-5y + 7y + 18 - 3x Whoever answers the best gets brainlyest.
Answers
Answer:
2y+18-3x
Step-by-step explanation:
Answer:
2y +18 -3x
Step-by-step explanation:
-5y +7y +18 -3x
-5y -5y
2y +18 -3x
Which of the following is the slope intercept form of the equation
3x - 8y = 16
A- y = 3/8x + 2
B- y = 3/8x - 2
C- y = -3/8x + 2
D- y = -3/8x - 2
Answers
Answer:
y = 3/8 x - 2
Step-by-step explanation:
Put 8y on the other side to get
8y + 16 = 3x
8y = 3x - 16 and thus
y = 3/8 x - 2
What is the slope of y=5/4x-7/4
Answers
The answer is:
5/4
Work/explanation:
Let's work out the slope of the line.
The equation is in y = mx + b form where m = slope; b = y intercept.
Similarly, in y=5/4x - 7/4, the slope is 5/4.
Hence, the answer is 5/4.HELLPPPPPPPPPPP i cant get it
Answers
Answer:
Step-by-step explanation:
ME EITHER UGHHHHHHHH
classify the quadrilateral by its most specific name. then find the missing angle measure(s)
Answers
The specific name of the quadrilateral is trapezoid
The measure of the missing angle is 55 degrees
How to determine the valueTo determine the measure of the angle, we need to know the following;
The properties of a trapezoid are listed as;
The bases are parallel to each other.Opposite sides of a trapezoid (isosceles) are of the same length.Angles next to each other sum up to 180 degreesThe median is parallel to both the bases.Median's length is the average of both the basesFrom the information given, we have that;
125 + x = 180
collect the like terms, we have;
x = 180 - 125
subtract the values, we get;
x = 55 degrees
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Please help quickly I will give brainliest to the first correct response!
Jackie took $24 to the movie theater with her and her friends. The price of each bag of popcorn is $4 and the price of each candy bar is $3.
Let the x axis represent the number of candy bars and the y axis represent the number of bags of popcorn.
What is the x intercept and what does it mean?
What is the y intercept and what does it mean?
Answers
Answer:
x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.
y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars.
Step-by-step explanation:
Answer:
When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.
Step-by-step explanation:
The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.
if this was in a math test what would the appropriate answer be?
-8x + 9 = 73
Answers
Step-by-step explanation:
-8x + 9 = 73
-8x = 73 -9
-8x = 64
x= - 64/8
x= -8
Can u guys help me with this question!! :)
Answers
Answer:
A
Step-by-step explanation:
5/8=0.625
0.42=0.42^2