The annual inflation rate is 3.5% per year. If a movie costs $7.50, determine which of the following graphs best models the change in price, with respect to time, of the movie ticket.
Answers
c (t) = (7.50) * (1.035) ^ t
Where,
c (t): cost of the movie after t years.
7.50: initial cost of the movie in $
1,035: annual percentage increase due to inflation.
t: time in years.
for t = 0 We have:
c (t) = (7.50) * (1.035) ^ 0
c (t) = (7.50) * (1)
c (t) = 7.50
Answer:
The graph that best models the function is:
GRAPH 2 (from left to right).
Answer:
Step-by-step explanation:
Let's model the cost by the following exponential function: c (t) = (7.50) * (1.035) ^ t Where, c (t): cost of the movie after t years. 7.50: initial cost of the movie in $ 1,035: annual percentage increase due to inflation. t: time in years. for t = 0 We have: c (t) = (7.50) * (1.035) ^ 0 c (t) = (7.50) * (1) c (t) = 7.50 Answer: The graph that best models the function is: GRAPH 2 (from left to right).
Related Questions
The answer i need to know
Answers
.. V = lwh
.. h = V/(lw)
For this problem, we want the value of 8h, so we have
.. 8h = 8V/(lw)
.. = 8(10 2/3 ft^3)/((4 ft)(1 1/3 ft))
.. = (256/3 ft^3)/(16/3 ft^2)
.. = 16 ft
The height of the stack of bales is 16 feet.
mindy needs 3 1/3 cups of raisins for the trail mix shes making she only has 1 2/3 cups of raisins in her pantry how many more raisins does she need?
Answers
Solve these problems using the berry method. Please show me the work! (291-298)
Answers
So, you start with a factorization that looks like
.. (ax + __)*(ax + __)
with the blanks to be filled by the numbers you determine in the second step.
Finally, you divide this product by "a" in an appropriate way. Often, that will mean you factor "a" from one of the binomials.
291) 5c^2 +13c +6
.. form to fill: (5c + __)*(5c + __)
We're looking for factors of 5*6 = 30 that add to 13.
.. 30 = 1*30 = 2*15 = 3*10 = 5*6 . . . . . . sums of factors are 31, 17, 13, 11.
The numbers we want are 3 and 10. Putting these into the form gives
.. (5c +3)*(5c +10)
.. = 5(5c +3)(c +2)
The factorization we want is
.. 5c^2 +13c +6 = (5c +3)(c +2)
294) 4d^2 +8d -21
.. 4*-21 = -84 = 84*-1 = 42*-2 = 28*-3 = 21*-4 = 14*-6 = 12* -7
.. These factor pairs have sums 83, 40, 25, 17, 8, 5, so our numbers are 14, -6.
.. (4d +14)(4d -6) . . . . form with numbers filled in
.. = 2(2d +7)*2(2d -3) . . . . . remove a factor of 4 by removing a factor of 2 from each binomial
.. = 4(2d +7)(2d -3)
The factorization we want is
.. 4d^2 +8d -21 = (2d +7)(2d -3)
297) 3g^2 -16g -12
.. 3*-12 = -36 = -36*1 = -18*2 = -12*3 = -9*4 = -6*6
.. These factor pairs have sums -35, -16, -9, -5, 0, so the numbers we want are -18 and 2.
The Berry Method form now looks like
.. (3g -18)(3g +2)
.. = 3(g -6)(3g +2)
The factorization we want is
.. 3g^2 -16g -12 = (g -6)(3g +2)
Eric has 58 stamps. Sheena gave 1/4 of her stamps to Eric. After giving 1/5 of his stamps to Raju, Eric still had 96 stamps. Find the total number of stamps Sheena had originally
Answers
He gave 1/5 of these to Raju leaving him with 96 so we have the equation:-
(58 + 0.25x) - 0.2( 58 + 0.25x) = 96
0.8*58 + 0.8*0.25x = 96
0.20x = 96 - 46.4 = 49.6
x = 248 Answer
Sheena originally had 248 stamps as per given condition.
To solve a problem involving basic arithmetic and algebraic reasoning to find the original number of stamps that Sheena had.
Let's start with the second part of the problem to find out how many stamps Eric had after receiving stamps from Sheena and before giving stamps to Raju:
Firstly, if Eric ended up with 96 stamps after giving away 1/5 of his stamps to Raju, we can calculate how many stamps he had before giving them away.
To do so, we can think of 96 as being 4/5 of his total stamps at that time, since he kept 4 parts out of 5.
We can represent this with the equation: (4/5) × total stamps = 96. Solving this gives us a total of stamps = 120.
Next, we know Eric originally had 58 stamps and ended up with 120. The difference must be the stamps Sheena gave him, which was 1/4 of her original total. If we represent Sheena's original number of stamps as S, we can say 58 + (1/4)S = 120.
Lastly, we solve for S: ((1/4)S = 120 - 58), which simplifies to (1/4)S = 62.
Multiplying both sides of the equation by 4 yields S = 248.
Therefore, Sheena originally had 248 stamps.
if I have 436 baseball cards and 189 football cards.how many more baseball cards than football cards do I need
Answers
Here is your answer:
The proper answer to this question is your going to need "247"
436-189=247
Which means your going to need 247 more baseball cards then football cards!
Your answer is 247.
If you need anymore help feel free to ask me!
Hope this helps!
May I have a brainliest
**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect?
Yes, at positive x-coordinates or zero
Yes, at negative x-coordinates or zero
Yes, at negative and positive x-coordinates or zero
No, they will not intersect
Answers
We can prove this by substituting [tex]y=x[/tex] into the given equation:
[tex]x^2+x^2=36[/tex]
[tex]2x^2=36[/tex]
[tex]x^2 = 18[/tex]
[tex]x = \pm 3\sqrt{2}[/tex]
Hence, [tex]x = 3\sqrt{2}[/tex] or [tex]-\sqrt{2}[/tex], so there are both positive and negative values for [tex]x[/tex].
Answer:
will intersect the circle at negative and positive x-coordinates.
Step-by-step explanation:
^^
Determine whether the following sequence is geometric. If so, find the common ratio.
2, 6, 18, 54, ...
A.
The given sequence is geometric. The common ratio is requals=___. (Simplify your answer.)
B.
The given sequence is not geometric.
Answers
The given sequence is geometric with a common ratio of 3, which is identified by dividing any term by its preceding term and finding a consistent value.
Explanation:To determine whether the given sequence is geometric, we should check if there is a common ratio between successive terms. A sequence is geometric if each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
Looking at the sequence 2, 6, 18, 54, ..., we can divide each term by the previous term to find the common ratio.
6 ÷ 2 = 318 ÷ 6 = 354 ÷ 18 = 3Since each term is obtained by multiplying the previous term by 3, we have a common ratio of 3.
Therefore, the given sequence is geometric and the common ratio is 3.
A global positioning satellite (gps) system uses satellite information to locate ground position. Abu’s surveying firm bought a GPS system for $12500. The GPS is now worth $8600. How many years ago did Abu buy the GPS system? Use k=.062 for the annual rate of decay.
Answers
This is an exponential decay problem. we use the following formula.
Abu bought the GPS system approximately 6.55 years ago.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can use the exponential decay formula to solve this problem.
The formula is:
[tex]A = A_0 \times e^{-kt}[/tex]
Where A is the current value, A0 is the initial value, k is the annual rate of decay, and t is the time in years.
We know that Abu bought the GPS system for $12500,
So,
[tex]A_0[/tex] = 12500.
We also know that the current value of the GPS system is $8600,
So,
A = 8600.
The annual rate of decay is given as k = 0.062.
Plugging these values into the formula, we get:
8600 = 12500 x [tex]e^{-0.062t}[/tex]
Dividing both sides by 12500, we get:
0.688 = [tex]e^{-0.062t}[/tex]
Taking the natural logarithm of both sides, we get:
log (0.688) = -0.062t
Solving for t.
t = ln(0.688) / (-0.062)
t ≈ 6.55 years
Therefore,
Abu bought the GPS system approximately 6.55 years ago.
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A small refrigerator is a cube with a side length of 16 inches. Use the formula S = 6s2 to find the surface area of the cube.
Answers
A=1536 in
The surface area of the cube is 1536 in.
A right rectangular prism is 514 in. wide, 1212 in. long, and 4 in. tall.
What is the volume of the prism?
a) 50 in3
b) 65 5/8 in3
c) 260 in3
d) 262 1/2 in3
Answers
Volume = length * width * height.
Find the dimensions of the prism.
514 inches wide1212 inches longAnd 4 inches tall.
Plug in our values.
Volume = 514 * 1212 * 4Volume = 2491872 cube inches
The correct answer is D, because what he or she was trying to say was 5 1/4 x 12 1/2 x 4, which equals 262 1/2 in³
Your welcome everyone
Candy at the grocery store is on sale. Mrs. Watkins finds that she can buy 5 candy bars for $2.50. She has a total of 18 kids in her class. How much would it cost for her to buy a candy bar for all the students?
Answers
it would cost her $9
hope this helps
<3
1. HEIGHT
You estimate that your friend is 50 inches tall. The actual height of your friend is 54 inches. Find the percent error.
2. Original price: ?
Discount: 75%
sale price: $74.75
(Please EXPLAIN)
ThAnK yOu!!
Answers
To find the percent error, subtract the estimate from the actual value, divide the difference by the actual value, and multiply by 100. To find the original price, set up an equation using the formula for finding the sale price and solve for the unknown variable. The percent error is approximately 7.41% and the original price was $299.
Explanation:To find the percent error, you need to compare the estimate to the actual value.
1. Subtract the estimate from the actual value: 54 - 50 = 4.
2. Divide the difference by the actual value: 4 / 54 ≈ 0.0741.
3. Multiply the result by 100 to get the percent error: 0.0741 * 100 ≈ 7.41%
So the percent error is approximately 7.41%.
To find the original price, you can set up an equation using the formula for finding the sale price: Original price - (Discount * Original price) = Sale price.
Let x be the original price. Using the given values, the equation becomes: x - (0.75 * x) = 74.75.
Simplifying the equation, you get: x - 0.75x = 74.75.
Combining like terms, you get: 0.25x = 74.75.
Dividing both sides by 0.25, you get: x = 74.75 / 0.25 = 299.
So the original price was $299.
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What is the area of this polygon?
42.5 units²
41.5 units²
35.5 units²
29.5 units²
Answers
the base of a right rectangular pyramid has a length of 12 centimeters, a width of 6 centimeters, and a height of 14 centimeters. Describe the cross section formed by a horizontal plane that intersects the faces of the pyramid above the base.
Answers
In the fraction 15⁄7, which of the following is 15?
Answers
In the fraction 15⁄7, 15 is the numerator, indicating the number of parts considered, while 7 is the denominator, indicating the total parts in a whole.
Explanation:In the fraction 15⁄7, 15 is the numerator. This is the part of the fraction that represents the number of equal parts being considered. In contrast, the 7 represents the denominator, which indicates the total number of equal parts that make up a whole.
When you see a fraction, the top number, which is called the numerator, answers the question of 'how many parts you have.' The bottom number, the denominator, answers 'how many parts the whole is divided into.' Therefore, in the given fraction, you have 15 parts out of a total of 7 parts, which suggests that you have more than one whole - this is known as an improper fraction, because the numerator is larger than the denominator.
How can the expression 3(4x) + 2(7y) be simplified?
7x + 9y
12x + 9y
12x + 14y
7x + 14y
Answers
12x+14y
how do you find the surface area of a rectangular pyramid?
Answers
legth width height
Roger makes $42,000 a year. What is the maximum amount he can afford for a mortgage each month?
Answers
Answer:
The answer is 875.00
Step-by-step explanation:
Roger can afford a maximum monthly mortgage payment of $1,505.
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Lenders typically use a DTI to assess a borrower's ability to repay the loan. The DTI is calculated by dividing the borrower's monthly debt payments (including the mortgage payment) by their gross monthly income.
The maximum DTI ratio allowed for most conventional mortgages is 43%. This means that the total debt payments, including the mortgage payment, cannot exceed 43% of the borrower's monthly income.
To calculate the maximum mortgage payment for Roger, we need to first determine his gross monthly income by dividing his annual income by 12:
= $42,000 ÷ 12
= $3,500
Next, we need to calculate Roger's maximum allowable monthly debt payments by multiplying his monthly income by the maximum DTI ratio:
= $3,500 x 0.43
= $1,505
Let's assume that Roger has no other monthly debt payments:
= $1,505 - $0
= $1,505
Therefore,
Roger can afford a maximum monthly mortgage payment of $1,505.
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A car moving at a constant speed travels 88 feet in 2 seconds. Use a proportion to find how many feet it travels in one minute
Answers
how many feet in 1 minute?
1 minute is 60 seconds
so, we can write a proportion and solve
feet/ seconds = feet/seconds
88/2 = x / 60
cross multiply
(88 * 60 ) = 2 * x
5280 = 2x
divide both sides by 2
2640 = x
To check:
88/2 =?= 2640 / 60
44 = 44
So the car travels 2640 feet in 60 seconds, or 1 minute.
(btw just in case you wanted to know also, 2640 feet is equal to 0.5 of a mile, that car travels 0.5 miles in 1 minute)
Hope this helps
WHOEVER HELPS FIRST GETS BRAINLIEST. IM BEING TIMED!!!
Answers
Answer:
Step-by-step explanation:
what 9x11
A cup of water holds about 8 ounces. If a recipe calls for 1/3 cup of water, which is the best estimate of the number of ounces that are needed?
Answers
1/3x8 ounces so answer will be 2.66666...... Or can be rounded to 3
The best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.
What is the best estimate of the number of ounces that are needed?The best estimate of the number of ounces that are needed is calculated as follows;
To determine the number of ounces needed when a recipe calls for 1/3 cup of water, we can use the fact that there are 8 ounces in a cup.
Since 1/3 is a fraction, we need to divide 8 ounces by 3 to find the amount of water needed for 1/3 cup.
8 ounces ÷ 3 = 2.6667 ounces (rounded to four decimal places)
Rounding it to a reasonable decimal place, the best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.
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What is the obesity threshold weight for a young adult American male?
Answers
Explanation: The answer would be 216.5 pounds. Since it is 2. So, you take 26*2=52...and add that to 164.5 it would be=216.5 so round up and your answer is D.
~Brooke❤️
Answer: answer D for apex
Step-by-step explanation:
Jayden rode his bike 5.75 miles on saturday and 12.4 miles on Sunday. How many miles did he ride his bike both days?
Answers
Ted lives 20 miles south and 20 miles west of the city represented on the graph in Example 3. His brother Ned lives 50 miles north of Ted’s house. Give coordinates of each brother’s house
Answers
Answer:
mamamo 20 miles
Step-by-step explanation:
Answer:
Ted (20,-20) Ned (20,30)
Step-by-step explanation:
what is the value of x in the solution of the system of y=2x and 4x+y=6
Answers
A parachutist's rate during a free fall reaches
231
feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during
10
seconds of free fall? In your computations, assume that
1
meter is equal to
3.3
feet. Do not round your answers.
Answers
2. In 10 seconds, the parachutist will fall
.. (10 s)*(70 m/s) = 700 m
Answer:
700 m
( A parachutist's rate during a free fall reaches 231 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers. )
rank has a circular garden. The area of the garden is 100 ft2. What is the approximate distance from the edge of Frank’s garden to the center of the garden? (A = πr2) A) 6 ft B) 8 ft C) 10 ft D) 12 ft
Answers
It is given that the area of the circular garden = 100 [tex]ft^2[/tex]
Area of circle with radius 'r' = [tex]\pi r^2[/tex]
We have to determine the approximate distance from the edge of Frank’s garden to the center of the garden, that means we have to determine the radius of the circular garden.
Since, area of circular garden = 100
[tex]\pi r^2 = 100[/tex]
[tex]\frac{22}{7} \times r^2 = 100[/tex]
[tex]r^2 = \frac{700}{22}[/tex]
[tex]r^2 = 31.8[/tex]
[tex]r = \sqrt{31.8}[/tex]
So, r = 5.6 ft
r = 6 ft (approximately)
Therefore, the approximate distance from the edge of Frank’s garden to the center of the garden is 6 ft.
So, Option A is the correct answer.
The given garden is circular in shape with area 100 square feet.
Area of the garden = πr²
Given area = 100 square feet
Hence,
[tex]3.14r^{2}=100[/tex]
[tex]r^{2}=\frac{100}{3.14}[/tex]
[tex]r^{2}=31.847[/tex]
r=[tex]\sqrt{31.847}[/tex]
= 5.6433 which is approximately 6.
Hence, option A = 6 ft is the answer.
The first and second steps to solve the equation 3x/5 + 5 = 20.Are shown below
3x/5 + 5 - 5 = 20 - 5
3x/5 (5/3) = 15 (5/3)
A.Addition Property of Equality
B.Subtraction Property of Equality
C.Multiplication Property of Equality
D.Division Property of Equality
Answers
Answer:
c
Step-by-step explanation:
9,732,005 rounded to the nearest million
Answers
Hope this helps ;)
An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price. The results are shown in the scatterplot.
Which statement is correct based on the scatterplot?
There is no relationship between price and gift baskets sold because the points do not form a straight line.
There is no relationship between price and gift baskets sold because there are multiple prices at which 80 gift baskets were sold.
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold increases.
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.
Answers
Answer:
d and/ or the other dude
Step-by-step explanation:
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that an An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price.
We need to find the correct statement which is represented by the scatterplot.
A scatterplot is a type of data display that shows the relationship between two numerical variables.
As we observe the scatterplot, as the price decreases, the gift baskets sold increases or the price increases, the gift baskets sold decreases..
Hence, there is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.
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