Answer:
C
Step-by-step explanation:
Cumulative Exam 2021
Merry Christmas <3
P.S. Have a good winter break :)
13. Jay has 12 classic cars in his garage. He paid
$3,500 for each car 5 years ago. The cars are
currently worth $4,200 each. How much more
must the average value of the cars rise for the
combined value of these 12 cars to be exactly
$10,800 more than Jay paid for them?
A. $200.00
B. $700.00
C. $800.50
D. $ 841.67
E. $958.33
(May need worked out, please!?)
Answer:
I believe the answer would be A. $200.00
Step-by-step explanation:
This is because if jay has 12 cars that he paid 3,500$ each for, the total cost would have been $42,000.
And the current price is 4,200$ for each car.
If you add 200$ to each 4,200$ car, you get 4,400$
After, you take the amount for each car (4,400) and multiply it by 12 (the amount of cars purchased) and you get 52,800.
You then need to subtract the recent cost of 12 cars (52,800) by 42,000$ (the original cost for 12 cars) and you will get $10,800.
52,800-42,000=10,800
therefore, A.$200.00 would be the correct answer
I'm not sure if all calculations are correct, but I hope this helps! :)
The average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them. Therefore, the correct answer is A. $200.00.
To find out how much more the average value of the cars must rise for the combined value to be $10,800 more than what Jay paid for them, we need to calculate the difference between the current combined value and the total price Jay paid, and then divide it by the number of cars.
Given:
Number of cars (n) = 12
Price Jay paid for each car (P) = $3,500
Current worth of each car (W) = $4,200
Total price Jay paid (T) = n * P = 12 * $3,500 = $42,000
Current combined value of the cars (C) = n * W = 12 * $4,200 = $50,400
Difference in value = C - T = $50,400 - $42,000 = $8,400
Additional increase needed = $10,800 - $8,400 = $2,400
To find the average increase needed per car, we divide the additional increase by the number of cars:
Average increase per car = Additional increase / Number of cars = $2,400 / 12 = $200
Therefore, the average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them.
The correct answer is A. $200.00.
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Need help a lot stuck
Answer:
yes, sounds linear.
this is an mx + b scenario.
here's the model:
y = )3/1)x + 50
or
y = 3x + 50
where the 1 in the slope denominator is a square foot.
$22.66 is 2% of what number
Answer:
1,133
Step-by-step explanation:
2%=0.02
$22.66÷0.02=$1,133
Look at the graph below. What is the y-intercept?
Answer:
- 2 is the answer:)
Step-by-step explanation:
Wherever the line crosses on the y thats the answer
What is the slope of the line containing the points (17,92) and
(21, 44)?
Answer:
-9.6
Step-by-step explanation:
92-44/17-21
Answer:
-12
Step-by-step explanation:
Formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Identify the values:
[tex]y_2=44[/tex]
[tex]y_1=92[/tex]
[tex]x_2=21[/tex]
[tex]x_1=17[/tex]
Plugin the values; solve:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{44-92}{21-17}[/tex]
[tex]= \frac{-48}{4}[/tex]
[tex]\bold{m=-12}[/tex]
Therefore, the slope of the line containing the points (17,92) and
(21, 44) is -12.
The position of a scuba diver relative to the water surface was −22 1/3 feet. He saw something interesting beneath him and increased his depth by 12 1/2 feet.
What is the position of the scuba diver now relative to the water surface?
Enter your answer as a mixed number, in simplified form, in the box.
Answer:
-34 5/6
Step-by-step explanation:
Hope this helps
Have a blessed day
Work out the area of the shaded shape.
Answer:
61
Step-by-step explanation:
You can separate complex shapes like this one into 2 different shapes, to solve this question, find the area of both shapes, the rectangle, and the little square in the bottom right of the shape. It takes long to explain and I don't have much time but the answer is 61.
A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 500 bacteria that grow at a rate of 16% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours? Round your answer to the nearest whole number.
The population of the bacteria after 8 hours is 1639 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 500 bacteria, hence
a = 500
The bacteria grow at a rate of 16% per hour, hence:
b = 100% + 16% = 1.16
The exponential equation becomes:
y = 500(1.16)ˣ
After 8 hours:
y = 500(1.16)⁸ = 1639
The population of the bacteria after 8 hours is 1639 bacteria.
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How would 10% be written as a fraction?
1/10
10% is 10/100 which simplifies to 1/10
Answer:
1/10
Step-by-step explanation:
it would be 1/10. reduce the fraction by 10
which values of x are solutions to the equation below?
Answer:
-5,5
Step-by-step explanation:
move the constant to the right to make it
3x^2=33+42
3x^2=75
divide both sides by 3
x^2=25
sq root of 25 is 5 and -5
Does this table represent a linear or nonlinear function? x= 1, 2, 5 & y= 4, 7, 16
Answer:
linear
Step-by-step explanation:
The function is linear if the ratio of changes in y to changes in x is the same for any set of (x, y) pairs.
first two pairs: (y2 -y1)/(x2 -x1) = (7 -4)/(2 -1) = 3/1 = 3
second two pairs: (y3 -y2)/(x3 -x2) = (16 -7)/(5 -2) = 9/3 = 3
The slopes between points are the same for any pair of points, so they all lie on the same line. The function is linear.
Help help help help help math math math
Check the picture below.
Answer:
x=33
Step-by-step explanation:
My mom walks 1 mile in 14
minutes. If she walked for 56
minutes, how far did she walk?
Answer:
4 miles
Step-by-step explanation
If your mom can walk 1 mile in 14 minutes then 2 miles would take her 28 minutes 3 miles would take her 42 minutes and finally if she walked 4 miles it would take her 56 minutes.
14 + 14 + 14 + 14 = 56
14 x 4 = 56
Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, 2 1/7 divided by 1 2/5 =?
Answer:
1 26/49
Step-by-step explanation=
2 1/7 ÷ 1 2/5
15/7 over 1 2/5
15/7 over 7/5
75/49
= 1 26/49
HELP MEEEEEEEEEEEEEEEEE!
X +(X+1)+...+2020+2021=2021
If x is an integer, and
x + (x + 1) + … + 2020 + 2021 = 2021
then of course
x + (x + 1) + … + 2020 = 0
and we can write the left side as a sum,
[tex]\displaystyle \sum_{k=0}^n (x+k) = 0[/tex]
with n such that x + n = 2020. (Notice that there are n + 1 terms in the sum.) Then x = 2020 - n, so that
[tex]\displaystyle \sum_{k=0}^n (2020 - n + k) = (2020 - n) \sum_{k=0}^n 1 + \sum_{k=0}^n k= 0[/tex]
Recall that
[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 1 + 1 + \cdots + 1 = n[/tex]
[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]
Then
[tex]\displaystyle (2020 - n) (n + 1) + \frac{n(n+1)}2= 0[/tex]
Solve for n :
(2020 - n) (n + 1) + n (n + 1) / 2 = 0
4040 + 4039 n - n² = 0
(n - 4040) (n + 1) = 0
⇒ n = 4040 or n = -1
But we are taking the sum of a positive number of terms, so n = 4040.
Then since x + n = 2020, it follows that x = 2020 - 4040 = -2020.
valor de la incognita 9x+4 =5x+12?
Answer:
9x+4=5x+12
9x-5x=12-4
4x=8
x=2
Hey there!
Solve for x :
Answer :x = 2 ✅
Explanation:9x + 4 = 5x + 12
>> Substract 4 from both sides :
9x + 4 - 4 = 5x + 12 - 4
9x = 5x + 8
>> Substract 5x from both sides :
9x - 5x = 5x - 5x + 8
4x = 8
>> Divide both sides by 4 :
4x / 4 = 8 / 4
x = 2
Therefore, your answer is x = 2.
Learn more about equation :
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what are the measurements of 1 and 2?
Answer:
8 tablespoons1/2 cup4 ounces10 tablespoons plus 2 teaspoons2/3 cup5.2 ounces12 tablespoons3/4 cup6 ounces16 tablespoons1 cup8 ounces
Total score:
of 15 points
(Score for Question 1: of 5 points)
1. Graph the function f(x) = sin(x)-2.
Answer:
Answer:
Step-by-step explanation:
please help ill mark brainliestO
Answer:
AA, SAS, SSS
Step-by-step explanation:
These three theorems can be used to find similar triangles.
Distributive property to remove parentheses 4(3+w)
Answer:
12+4w
Step-by-step explanation:
Multiply 4 by both sides
1300 divided by 2 in hurry
Answer: 650
Step-by-step explanation:
1300 divided by 2 is 650
If you are psting your questions from an assignment i hope that its not against tos
Answer:
650
Step-by-step explanation:
this is the answer have a great day now!
The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $351.00. What was it worth a year ago?
Answer:
$270
Step-by-step explanation:
130%/100%=$351/X
(351*100)/130=$270
Can someone pls help really quick
Given the following data points, determine the Mean, Median, Range, and Mode. Then split the data up into Quartiles and Quintiles.
65 57 72 76
98 65 55 69 67
80 64 5 37 8
92 31 54 51 36
Mean:
Median:
Mode:
Range:
The cost of producing a vanity license plate is c = $1000 +$8p where p is the number of plates you produce. Complete the table below:
Number of Plates Total Cost Cost per Plate
15
75
150
What is the minimum number of plates you need to produce in order to make a profit assuming you sell the plates for $20? What about if you sell the plates for $15?
Answer:
Step-by-step explanation:
Mean: 56.95
Median: 64
Mode: 65
Range: 93
15 plates = $1000 + 8(15) = $1120
75 plates = $1000 + 8(75) = $1600
150 plates = $1000 + 8(150) = $2200
can you help me with this graph question
Answer:
D
Step-by-step explanation:
the Max Point is (2,6) so y=b
sorry if u dont get it
I will give Brainliest, plz help!!
Answer:
with what?
Step-by-step explanation:
??
The heights of NFL football players are approximately normally distributed with a mean of 71.5 inches and a standard deviation of 2.3 inches. The middle 75% of all NFL players have heights between
(A) 68.9 inches to 76.1 inches
(B) 69.2 inches to 73.8 inches
(C) 68.9 inches to 74.1 inches
(D) 66.9 inches to 76.1 inches
(E) None of the above give an accurate interval
Answer:
I would say B
Step-by-step explanation:
I'm sorry, I don't have an explanation
The middle 75% of all NFL players have heights between in (A) 68.9 inches to 76.1 inches.
What is Standard score?It is the representation of a data value in terms of distance from standard deviation from the mean. It is also called z-score.
It measures how many standard deviations the measure is from the mean. After finding the z-score, we have to look at the z-score table and then the p-value associated with this z-score, which is the percentile of X.
Given that Mean = μ = 64.4 inches
Standard Deviation = σ = 2.3 inches
We have to find the standard score for players height;
So, Let x = 75% = 0.75
Therefore the formula for z-score is:
x - mean / S.D
0.75 = x - 71.5/2.3
x = 76.10
Rounding off to nearest hundredth
z-score = 76.1
Hence, The middle 75% of all NFL players have heights between in
(A) 68.9 inches to 76.1 inches.
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A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?
Answer:
P.E = mgh = 120N
Step-by-step explanation:
v² = u² - 2as
At the top, the velocity is = 0
0² = 4² - 2 x 10 x s
4² = 20s
s = 16/20
s = 0.8metres.
It rose only 0.8metres.
Therefore P.E = 15 x 10 x 0.8
:. P.E = 15 * 8
:. P.E = 120N
Choose correct way to write 7 cents using the dollar symbol.
$.07
$ 7 ¢
$.07 ¢
$.7
Step-by-step explanation:
$.07
$.7
The answer was first one.
Help help help help math math math
Answer:
55º
Step-by-step explanation:
The 125º angle makes a straight angle (180º) with the one next to it. This makes the angle next to it (adjacent angle) 55º. According to the rules of a transversal, the adjacent angle said above and angle 2 are alternate interior angles, making them equal.
22. PLEASE HELP PLEASSSSSSEEEEEEEE
Answer:
me too i need help its in my HW and exam
Step-by-step explanation:
