Answer:
V = V0 e^-k t where V is the value of the car and t the time in years
ln (V/V0) = - k t
k = -1/4 ln (96/280) = .268
V = V0 e^-k t = 28000 e^-.268 * 6 = 28000 e^-1.606 = $5621
A bag contains 9 green marbles, 6 purple marbles, 4 red marbles, 10 blue marbles, and 7 orange marbles. One marble is randomly selected from the bag.
What is the probability that the marble selected is blue or purple?
The probability that the marble selected is blue or purple is the likelihhood of selecting a blue or purple marble
The probability that the marble selected is blue or purple is 0.444
How to determine the probability?From the question, we have:
Green = 9
Purple = 6
Red = 4
Blue = 10
Orange = 7
So, the total number of marbles is:
Total = 9 + 6 + 4 + 10 + 7
Total = 36
The number of blue or purple marbles is;
Blue or purple = 10 + 6
Blue or purple = 16
So, the probability that the marble selected is blue or purple
p = 16/36
Evaluate
p = 0.444
Hence, the probability that the marble selected is blue or purple is 0.444
Read more about probability at:
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The data set below represents the different costs of a tablet at an electronic store. $298. $196, $248, $379, $319, $276, $198, $349, $319. What is the median?
Answer:median of (298, 196, 248) - 196
median of (379, 319) - 349
median of (276,198, 349) - 198
Step-by-step explanation:
Answer:
298
Step-by-step explanation:
Given:
$298,$196, $248, $379, $319, $276, $198, $349, $319
Solve:
Put in order:
196, 198, 248, 276, 298, 319, 319, 349, 379
Median -
Arrange data values from lowest to highest value
The median is the data value in the middle of the set
If there are 2 data values in the middle the median is the mean of those 2 values.
Solution:
196, 198, 248, 276, 298, 319, 319, 349, 379
196, 198, 248, 276, 298, 319, 319, 349, 379
196, 198, 248, 276, 298, 319, 319, 349, 379
196, 198, 248, 276, 298, 319, 319, 349, 379
Hence, the median is 298.
~lenvy~
The sum of two integers is 72 and their difference is 8. Find the integers
Help help math math math
Answer: 5a+23
Step-by-step explanation: Let us combine like terms. -7a + 12a = 5a, and 17 + 6 = 23, thus it is 5a + 23.
Answer:
slay
Step-by-step explanation:
slay
1
Find the circumference of the circle shown, correct to two decimal places.
7 cm
Circumference =
Enter your next step here
cm
what is the sum? complete the equation 3 1/7 + (-5 4/7)
Answer:
The answer is
[tex] - 2 \frac{3}{7} [/tex]
What length is X
3.0000
4.0000
What is the value of n in the equation below?
Answer:
9
Step-by-step explanation:
12ⁿ⁻⁵ = 12⁴
n - 5 = 4
n = 9
Need assistance on this problem
Answer:
The height of the tower should be 120 m
Step-by-step explanation:
the process of splitting a numbers into equal parts or groups
Answer:
Division
Step-by-step explanation:
Dictionary Definition:
the action of separating something into parts or the process of being separated.
Hope that helps
120 feet is to 150 feet as 8 feet is to ten feet write the proportion HELP PLEASE!!! AND PLEASE SHOW HOW TO DO IT
Answer:
Step-by-step explanation:
120/150 = 0.8
8/10 = 0.8
8x15=120
10x15=150
Help Picture below problem 17
Answer:
139°
Step-by-step explanation:
18°+23°+?= 180°{sum of angles on a triangle}
41°+?° = 180°
?° =180-41=139°
how do you find the square root for 9cm
[tex]\rightarrow[/tex]Square root of 9 is a whole number that is multiplied by itself to get the original number. The actual value of square root of 9 is 3.
√9 = ±3
[tex]\rightarrow[/tex]If we square +3 or -3, the resulting value will be equal to 9.
[tex]\sf{(+3)^2 = 9}[/tex]
[tex]\sf{(-3)^2 = 9}[/tex]
How to find?:-[tex]\rightarrow[/tex]Number 9 is an odd number and not a prime number. Prime numbers have only two factors, 1 and the number itself. But as we know, 9 have three multiple factors, 1, 3 and 9 itself. Thus, we can write the number 9 in the form of multiple as;
[tex]\sf{1 × 9 = 9}[/tex][tex]\sf{3 × 3 = 9}[/tex][tex]\sf{9 × 1 = 9}[/tex][tex]\rightarrow[/tex]You know that number 9 is a multiple of 3 or when 3 is multiplied by itself, we get the number 9. Therefore, we can write the square root of 9 as;
➾[tex]\sf{\sqrt{9}}[/tex]
➾[tex]\sf{\sqrt{3×3}}[/tex]
➾[tex]\sf{\sqrt{3^2}}[/tex]
[tex]\rightarrow[/tex]The square cancels the square root of a number. Therefore, if we cancel the square root with a square in the above expression, we get,
➾[tex]\sf{\sqrt{9}}[/tex] = ±3
__________________________________
Hope it helps you:)
How many different ways can 6 different positions be filled by 12 applicants?
Answer:665280
Step-by-step explanation:
12•11•10•9•8•7=665280
Suppose if, instead of depositing the $600 all at once, you deposit nothing at the beginning and you divide up the $600 into 12 envelopes each with $50. Find the balance after one year if you deposit one $50 envelope each month, all year, into an account that pays 5% APR with monthly compounding.
The balance after one year if you deposit one $50 envelope each month, all year is $613.95.
What is the balance after one year?The balance after 1 year can be determined using this formula:
Amount deposited monthly x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 5% /12 = 0.417%n = number of years = 1 x 12 = 12Annuity factor = 1.004167^12 - 1 / 0.00417 = 12.279082
Balance = 12.279082 x 50 = $613.95
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19. Given that angle BFC = 58°. Angle BXG = 48° and angle CBF 22 Find () 2BGX (iv) BCG (i) 2BGF (iv) ZBFG (ii) BCF H EE 58 48° D C 220 A- Figure 5.74
The unknown angles in the cyclic quadrilateral is as follows:
∠BGX = 74° (sum of angles in a triangle)
∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 100°(sum of angles in a triangle)
∠BCG = 26°
∠BFG = 22°
Cyclic QuadrilateralA cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.
Let's find the missing angles as follows:
∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)
∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)
∠BCG = 100 - 74 = 26°
∠BFG ≅ CBF = 22°(alternate angles)
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Which of the following would describe Slope?
A Rise/Run
B The rate of change
C The steepness of a line
D All of the above
Answer:
Rise/Run (A)
Step-by-step explanation:
The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. On the graph that would be a change in the y values. Run means how far left or right you move from point to point.
3. A jet traveled at an average speed of 681 kilometers an hour. At that rate, how far did the jet go in 7 1/4 hours?
[tex]\stackrel{mixed}{7\frac{1}{4}}\implies \cfrac{7\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{29}{4}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} K ms&hours\\ \cline{1-2} 681 & 1\\ x& \frac{29}{4} \end{array} \implies \cfrac{681}{x}=\cfrac{1}{~~ \frac{29}{4}~~}\implies \cfrac{684}{x}=\cfrac{4}{29} \\\\\\ 19836=4x\implies \cfrac{19836}{4}=x\implies 4959=x[/tex]
h=-16t^2+320, how long will it take to hit the ground
Answer:
It will take 5 seconds
How many inches are in 6 3/4 feet? Enter only a number. Do not include units.
Answer:
81 inches
Step-by-step explanation:
I believe this is it…
find the first derivative of x^2+y^2=25
Answer:
[tex]\frac{dy}{dx}=-\frac{x}{y}[/tex]
Step-by-step explanation:
Use implicit differentiation:
[tex]x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}[/tex]
Remember to treat "y" as a constant in implicit differentiation and include dy/dx.
Shawn is typing paper for a class. He can type 1 6/11 pages in 1/3 of an hour. How many pages can shawn type in in one hour
Answer:
4 7/11
Step-by-step explanation:
1 6/11 * 3 = 3 18/11 = 4 7/11
Identify the correct weight to the nearest 1/8 pound, then reduce the fraction if possible.
A. 2 12/16 = 2 3/4 Ib
B. 2 2/8 = 2 1/4 Ib
C. 2 14/16 = 2 7/8 Ib
D. 2 1/2 Ib
The measured weight is (2 + 3/4) lb, so the correct option is A.
How to read the measure?
First, we can see that the needle is between the 2lb and 3lb mark, so we know that we have a measure between these two values.
Now, let's count the number of small lines between the needle and the 2lb mark. There are 12 marks (the 12th is below the needle). Then the measure will be:
(2 + 12/16) lb.
Now we want to simplify the fraction. If we divide both numerator and denominator by 4, we get:
12/16 = 3/4
Then the weight is:
(2 + 3/4) lb
Then the correct option is A.
If you want to learn more about weight, you can read:
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Answer: Now, let's count the number of small lines between the needle and the 2lb mark. There are 12 marks (the 12th is below the needle). Then the measure will be:
(2 + 12/16) lb.
Now we want to simplify the fraction. If we divide both numerator and denominator by 4, we get:
12/16 = 3/4
Then the weight is:
(2 + 3/4) lb
Then the correct option is A.
Step-by-step explanation:
What are the y-intercepts of this conic section?
(0, −4) and (0, 4)
(0, −2) and (0, 2)
no y-intercepts
(−2, 0) and (2, 0)
Step-by-step explanation:
the second one, of course.
a y-intercept is a point where x = 0.
the 2 options are clearly having y-values of -2 and +2.
Given that the width is 4.5 units and the length can be represented by x + 3, which answer choice shows the correct expression of the area below?
Please just explain step by step how you got the answer.
!!! I WILL GIVE YOU 50 POINTS IF YOU SOLVE IT!!!
Step-by-step explanation:
the area of a rectangle is
length × width
that is in our case
(x + 3) × 4.5 = 4.5x + 4.5 × 3 = 4.5x + 13.5
remember, when multiplying 2 expressions, you multiply every term of one expression by every term of the other expression and then you add all these individual results up by considering the signs, of course.
The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2
9x^2 - 12x + 4
A. True
B. False
Answer:
True
Step-by-step explanation:
[tex]9x^2-12x +4 \\\\=(3x)^2 - 2\cdot 3x \cdot 2+2^2\\\\=(3x-2)^2[/tex]
Solve for x.
x−9=−524
Enter your answer as a mixed number in simplest form by filling in the boxes.
x = $$
Answer:
The answer is 1 7/8
Step-by-step explanation:
I did the test. Screenshot here;
Hope this helps!
Ali wants to surprise his wife Sara by presenting her some flowers, when he returns back from a work tour. He plans to spend exactly $24 on a bunch of exactly two dozen flowers. Sara loves lilies, roses and daisies. At the flower market they are selling lilies for $3 each, roses for $2 each, and daisies $0.50 each. How many flowers of each type can Ali buy?
Answer:
he can buy 8 of lilies and 12 of rose and 48 of daisies
Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
Suppose Ali buys x flowers of lilies, y flowers of roses, and z flowers of daisies.
According to the question
x+y+z = 24......(1)
3x+2y+0.5z = 24.......(2)
Here, we have three variables but only two equations.
2(2)-(1) gives, 5x+3y = 24......(3)
Since, x, y and z can take only integer values.
What are integers?Numbers that are not fractions called integers.
So, from (3) only x=3 and y=3 is possible
So, z= 24-x-y
z=24-3-3 = 18
So, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
Therefore, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
To get more about linear equations visit:
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This figure represents a compartment in a container for storing sewing supplies. Another compartment is identical except that it is 3 centimeters taller.
What is the difference in volume of the two compartments?
Enter your answer in the box.
cm³
Right trapezoidal prism. The height of the trapezoid base is labeled 7 cm. The larger base is labeled 15 cm and the shorter base is labeled 5 cm. The two legs of the trapezoid are labeled 10 cm. The height of the prism is labeled 8 cm.
cm³
help please
Answer:
140
explanation:
I took the test
Answer:
210 cm
Step-by-step explanation:
If the trapezoid in the picture is the one mentioned in the problem, then the answer is 210 cm. I did the test.
Given the figure below , find the blues of x and z
Check the picture below.