Answer:
$1,600
Step-by-step explanation:
Inverse relation:
v = k/a
where v = value of car, and a = age in years.
To find k, we use a known value
2400 = k/10
k = 24000
The inverse relation is
v = 24,000/a
At 15 years, a = 15.
v = 24,000/15 = 1,600
The value of Jackie’s car when it is 15 years old will be $1,600.
What is the equation?
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given data;
Let y be the car’s value and x is the age then, if there is an inverse relation between them;
y = k/x
Substitute the given values;
k=xy
k=2400 × 10
k = 24000
Substitute the value of k;
y = 24000/x
Condition 2;
at x = 15 and y = ?
y = 24,000/15
y= 1,600
Hence, the value of Jackie’s car when it is 15 years old will be 1600.
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You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be
Complete Question:
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 99% confident that the sample percentage is within 3.5 percentage points of the true population percentage.
Answer:
1,355 air passengers must be surveyed
Step-by-step explanation:
Note that the population proportion is not stated in the question, it will be assumed to be 50%. i.e. p = o.5
Error Margin, E = 3.5% = 0.035
Confidence Level, CL = 90% = 0.99
Therefore, Significance Level, [tex]\alpha = 0.01[/tex]
At [tex]\alpha = 0.01[/tex], [tex]Z_{crit} = Z_{\alpha/2} = Z_{0.005} = 2.576[/tex]
The number of randomly selected air passengers that must be surveyed:
This is the sample size and is given by the equation:
[tex]n = \frac{(Z_{\alpha/2})^2 p(1-p)}{E^2} \\n = \frac{2.576^2 * 0.5 *(1-0.5)}{0.035^2}\\n = 1354.24\\n = 1355[/tex]
500
475
450
- ODX Group, Inc
-NAMSEK
-A&D
400
425
Peer Comms Ltd.
350
350
300
300
250
275
Value of 100 shares in $
250
200
200
175
175
150
150
175
150
125
100
150
-100
100
100
125
125
50
25
0
Year 1
Year 2
Year 3
Year 4
Year 5
How much would it cost to buy 100 shares in ODX Group, Inc. and 300 shares in
Peer Comms Ltd, in Year 5?
Options
(A)350 (B)375 (C)725 (D)750 (E)775
Answer:
(E)775
Step-by-step explanation:
From the attached graph
In Year 5
100 shares in ODX Group, Inc. was worth $175100 shares in Peer Comms Ltd was worth $200Therefore the Cost of 100 shares in ODX Group, Inc. and 300 shares in Peer Comms Ltd, in Year 5
=175+3(200)
=175+600
=$775
The correct option is E.
simplify. -4(2x-v) + (-6v+5x)
Answer:
-2v - 3x
Step-by-step explanation:
-4(2x-v) + (-6v+5x)
Expand.
-8x + 4v - 6v + 5x
Add or subtract like terms.
-6v + 4v - 8x + 5x
-2v - 3x
Answer: -2v-3x
Step-by-step explanation:
A survey of 1272 pre-owned vehicle shoppers found that 8% bought the extended warranties. What is the population and what is the sample
Answer: 102 people and the sample is people with pre-owner vehicles.
Step-by-step explanation:
Which expression is not requivalent to
3x - 2?
Answer:
anything that is not -2+3x or x=2/3 is wrong
Step-by-step explanation:
A 4-ft-high and 7-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5 lb/ft3).
Total depth of the bottom of the plate is 4 + 1 = 5
Force = limit(5,1) 62.5 *7* x * dx
= 437.5. Lim(5,1) x*dx
= 437.5(x^2/2)^5 , 1
= 437.5 x (5^2/2 - 1/2)
= 437.5 x 12
= 5,250 pounds
The hydrostatic force against one side of the plate will be 5250 pounds.
What is hydrostatic force?The force exerted by the water of surface is known as hydrostatic force.
A 4-ft-high and 7-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft below the surface.
[tex]\rm Force = \int^5_1 62.5 *7* x * dx\\\\\\ Force = 437.5 \left [ \dfrac{x^2}{2} \right]^5_1\\\\\\Force = 218.75 \left [ x^2 \right]^5_1\\\\[/tex]
Solve the equation further, we have
Force = 218.75 x (5² – 1²)
Force = 218.75 x 24
Force = 5,250 pounds
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Suppose 27 cars start at a car race. In how many ways can the top 3 cars finish the race?
The number of different top three finishes possible for this race of 27 cars is
(Use integers for any number in the expression.)
Answer:
2925
Step-by-step explanation:
27 choose 3
(27!) / (24!3!)
the 24! cancels leaving the numerator with 27 x 26 x 25
(27 x 26 x 25) / (3 x 2 x 1)
Canceling out we get
9 x 13 x 25 which works out to be
2925!
Answer:
What expression? Anyways it is 17,550 different ways.
List all possible rational zeros are given by the rational zeros theorem (but don't check to see which actually are zeros). (enter your answers as a comma-separated list.)
p(x)=x3−7x2+19
Answer:
All possible rational zeros are given by the rational zeros theorem are 1, -1, 19 and -19.
Step-by-step explanation:
The rational zeros theorem indicates that for a polynomial
f (x) = aₙxⁿ + aₙ₋₁xⁿ⁻ + ⋯ + a₂x² + a₁x + a₀
where aₙ, aₙ₋₁, ⋯ a₀ are integers, the rational roots can be determined from of the factors of aₙ and a₀.
Being p divisor of the independent term a₀ and q divisor of the coefficient principal aₙ, then all rational factors or possible rational roots will take the form of [tex]\frac{p}{q}[/tex]
In the case of p(x)=x³ -7x² +19, aₙ=1 and a₀=19
So:
Dividers of the independent term (19): p=±1,±19
Divisors of the main coefficient (1): q=±1
Being the possible roots of the polynomial: [tex]\frac{p}{q}=[/tex]±1, ±19
All possible rational zeros are given by the rational zeros theorem are 1, -1, 19 and -19.
Cheryl bought 3.4 pounds of coffee that cost $6.95 per pound . How many did she spend on coffee
Answer:
23.63
Step-by-step explanation:
multiply the cost by the pounds
Answer:
$23.63
Step-by-step explanation:
3.4 X 6.95 = 23.63
6th grade math , help me please :D
Answer:
a) 6t
b) 6q
c) 8a
d) 2r + 22y
Step-by-step explanation:
a) 6t = 2t +4t
b) 6q = 7q + q-2q
c) 8a = 6-6+8a
d) 2r + 22y = 12r + 10y - 10r +12y
good luck!!
Any help would be greatly appreciated
Answer: (-3, -2)
Step-by-step explanation:
Plug in -2 for y to find x
x - 5(-2) = 7
Multiply -5 and -2
x + 10 = 7
Subtract 10 from both sides
x = -3
The first ordered pair is (-3, -2)
You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. Remember, Area = Length × Width. If each square yard of carpet costs $30.25, how much will the carpet cost you? Use your answer from the previous question to answer this question.
Answer:
402.9 $
Step-by-step explanation:
first you must turn foot into yards "every 3 foot = 1 yard"
3.33 , 4
then we will use the area=length x width formula
3.33 x 4 = 13.32 square yards
the cost of the carpet is
13.32 x 30.25 = 402.9$
Each interior angle of a regular polygon is 160°. How many sides has it?
Answer:
18 sides
Step-by-step explanation:
Given the interior angle of a regular polygon, we can find that the exterior angles are (180°-interior°). And the number of sides of the polygon times the exterior angles must equal 360°. So we can write:
(180-160)°•(n)=360°
(20°)•(n)=360°
n=(360/20)°
n=18 sides
5 cards are drawn from a standard deck of 52 playing cards. How many different 5-card hands are possible if the drawing is done without replacement
Answer:
many different 5-card hands are possible if the drawing is done without replacement in 2598960 ways
Step by step Explanation:
This problem is on combination, which is a selection of items from a particular collection, but here the order of selection does not matter.
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
Find the value of
5x when x = 6
Answer:
30solution,
X=6
[tex]5x \\ = 5 \times x \\ = 5 \times 6 \\ = 30[/tex]
Hope this helps...
Good luck on your assignment
Answer:
Step-by-step explanation:
x = 6
5x = 5 *6 = 30
A right rectangular prism is packed with cubes of side length 1 inch. If the prism is packed with 16 cubes along the length, 8 cubes along the width and 6 cubes
8
along the height, what is the volume of the prism?
Answer: 768 cubic inches.
Step-by-step explanation:
V= L * W *H
V = 16 * 8 * 6
V= 768
Please answer this correctly
Answer:
12.5%
Step-by-step explanation:
There is only 1 seven card from the 8 total cards.
1 out of 8.
1/8 = 0.125
P(7) = 12.5%
Answer:
12.5%
Step-by-step explanation:
Total Cards = 8
Number 7 = 1
P(7) = 1/8
In %age:
=> 12.5%
ial
What should be her first step?
isolating the constant 1
adding 4 to both sides of the equation
O isolating the second term, -4x
O adding 1 to both sides of the equation
Answer:
Fiona is completing the square to solve the polynomial equation.
x2 – 4x + 1 = 0
What should be her first step?
CORRECT--->>> 1) isolating the constant 1
2) adding 4 to both sides of the equation
3) isolating the second term, –4x
4) adding 1 to both sides of the equation
Step-by-step explanation:
EDGE 2021
The correct first step is to add 7 on both sides of the equation.
Option B is the correct answer.
We have,
To solve the equation 3x - 7 = 8, the first step is to add 7 on both sides of the equation.
We can also solve the equation as:
3x - 7 = 8
Adding 7 on both sides.
3x - 7 + 7 = 8 + 7
3x = 15
Dividing 3 on both sides.
x = 15/3
x = 5
Therefore,
The correct first step is to add 7 on both sides of the equation.
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The complete question:
Solve the equation 3x - 7 = 8.
What should be your first step?
O Isolating the constant term, -7
O Adding 7 to both sides of the equation.
O Isolating the second term, 3x.
O Subtracting 8 from both sides of the equation.
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5). What is the x-coordinate of the y-intercept? –4 0 4 5
Answer:
sorry for such a late answer but the correct option is the second table
Step-by-step explanation:
none needed
Answer: It is the second option 0
Step-by-step explanation: Because I took that test and got it right
PLEASE 36 POINTS!!! I WILL ALSO GIVE BRAINLIEST A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (–6, –4) (0, –1) (0, –2) (2, 0)
Answer: D: (2, 0)
Step-by-step explanation:right on Edge 2020
Answer:
yes its d
Step-by-step explanation:
did on edge
Please help me I will mark BRAINLIEST THANK YOUUUUU
Answer:
33%
Step-by-step explanation:
The multiples of 3 are 3,6,9,12
Sum is 6+14+12+1 = 33
The total is 3+6+8+11+14+16+15+12+9+5+1=100
The experimental probability is number of multiples of 3 over the total
33/100 = 33%
Help pls any kind soul pls help
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times as old, that means that Olly's age is 3 * x or 3x for short.
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times old as Dan, then the expression is 3x.
what's 3 - 3 x 6 + 2
Answer:
-13
Step-by-step explanation:
Of the last 100 customers entering a computer shop, 25 have purchased a computer. If the relative frequency method for computing probability is used, the probability that the next customer will purchase a computer is
Answer: 0.25
Step-by-step explanation:
The relative frequency of the customers that buy computers is equal to the number of customers that bought a computer divided the total number of customers that entered the shop.
p = 25/100 = 0.25
If we take this as the probability, then the probability that the next customer that enters the shop buys a computer is 0.25 or 25%
Simplify expression (3 2/3)6/5
Step-by-step explanation:
It's your 6/5 an exponent?
You want to buy a $200000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. A. How much is the loan amount going to be?
B. What will your monthly payments be if the interest rate 5%?
C. What will your monthly payments be if the interest rate is 6%?
Answer:
A = 20,000
Step-by-step explanation:
200,000 ÷ 10 = 20,000
The loan amount going to be for a home that cost $200000 home. You plan to pay 10% as a down payment and take out a 30-year loan for the rest is $180000.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The cost of the house, C = $200000,
The time = 30 years,
If the down payment is 10% then the remaining amount,
Down payment amount, D = 10% of 2000000 = $20000
Remaining amount = C - D
Remaining amount = $200000 - $20000 = $180000,
Therefore, the loan amount is $180000.
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2. Ricardo descended to a depth of 24 feet
below sea level. His friend Martin
descended 3 times as far. Write the
depth of Martin's descent as an integer.
Answer:
-72
Step-by-step explanation:
3*24=72
So he is 72 foot below see level or -72
Martin descended to a depth of 72 feet below sea level.
How to calculate the integerRicardo descended to a depth of 24 feet below sea level. His friend Martin descended 3 times as far.
If Ricardo descended to a depth of 24 feet below sea level, and Martin descended three times as far, we can calculate Martin's descent by multiplying Ricardo's depth by 3.
Martin's depth = Ricardo's depth * 3
Martin's depth = 24 feet * 3
Martin's depth = 72 feet
Therefore, Martin descended to a depth of 72 feet below sea level.
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Basic kinematics. Please help! Will give brainliest! Show all work!
Answer: 3.5 m/s
Step-by-step explanation:
[tex]v=\frac{vf+vi}{2}[/tex]
[tex]v=\frac{5+2}{2}[/tex]
5+2=7
7/2= 3.5
I NEED HELP PLEASE, THANKS!
As we are not being asked to draw this component form, it makes things a bit more simple. Take the following points that we are given, ( 8, - 2 ) and ( - 2, - 2 ) and consider them in the form ( P1, P2 ) and ( Q1, Q2 ). To determine this component form, you would have to subtract P1 and Q1, P2 and Q2 - or vice versa -
[tex]( 8 - ( - 2 ) ), ( - 2 - ( - 2 ) \\( 10, 0 )\\< 10, 0 >[/tex]
Solution = Option A
The perimeter of a rectangular painting is 310 centimeters. If the width of the painting is 56 centim
Answer:
The length is 99 cm
Step-by-step explanation:
The perimeter of a rectangle is
P = 2 (l+w)
310 = 2( l+56)
Divide each side by 2
310/2 = 2/2( l+56)
155 = l+56
Subtract 56
155-56 = l+56-56
99 = l
Answer:
99 centimeters
Step-by-step explanation:
Use formula for perimeter of a rectangle.
P = 2l + 2w
310 = 2l + 2(56)
Solve for l.
310 - 2(56) = 2l
310 - 112 = 2l
198 = 2l
99 = l