Answers
Answer:
A) 1: linear; 2: exponential (see equations in part B)
B) the value of 2 will be almost 15% greater
Step-by-step explanation:
Part A:As is often the case with multi-part questions, later parts of the question answer earlier parts. The equations shown in Part B are linear for Option 1 and exponential for Option 2.
The table values for Option 1 have a common difference of (1200 -1100) = 100.
The table values for Option 2 have a common ratio of (1210/1100) = 1.10.
Linear functions produce sequential values with a common difference (the slope of the function). Option 1 is linear.
Exponential functions produce sequential values with a common ratio (the growth factor). Option 2 is exponential.
__
Part B:The investment values after 7 years will be ...
Option 1: f(7) = 100(7) +1000 = 1700
Option 2: g(7) = 1000(1.1^7) ≈ 1948.72
The value of Option 2 will be about $248.72 higher, or 14.6% higher than the value of Option 1. Whether that is significant or not is in the eye of the beholder. Many people might consider that to be significantly better performance. (It would take another 2 1/2 years for Option 1 to have that value.)
Related Questions
solve the following equation and verify your answer.
[tex] \\ [/tex]
[tex] \huge \purple{ \frac{3x - 1}{5} - \frac{x}{7} = 3}[/tex]
Answers
Answer:
x = 7
Step-by-step explanation:
[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3
Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions
7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side
21x - 7 - 5x = 105
16x - 7 = 105 ( add 7 to both sides )
16x = 112 ( divide both sides by 16 )
x = 7
To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution
[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]
= [tex]\frac{21-1}{5}[/tex] - 1
= [tex]\frac{20}{5}[/tex] - 1
= 4 - 1
= 3 = right side
Then x = 7 is the solution to the equation
can anyone please solve this
Answers
Answer:
Its ether 3 or 4.
Step-by-step explanation:
its more than likely its 4 but I wasn't %100 sure.
Just checking, am I correct?
Answers
Answer: yes!
Step-by-step explanation:
Answer: As to what I am seeing i think you are doing fine
Step-by-step explanation:
Great Job
Is squirrel?
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Answers
Answer: yes squirrel is ?????
select the two values of x that are roots of this equation 2x^2-11x+15=0
Answers
NEED HELP ON THIS EQUATION!!!
Answers
Answer:
1.2x + 3
Step-by-step explanation:
It has to have +3 because 0 alresdy starts at 3 than use any point (I choose (5,9)) and find how much changed. The point moved 6 up and 5 to the right so divide 6/5 and get 1.2. Then test it with other points. (2,5.4) is a great example because it shows that whatever the equation is it is not 1.5 or anything above.
Evaluate the expression wx when x = -15 and w = 5. wx = _________.
-3 75 -75 3
Answers
-15 x 5 is ur equation
15 x5 is 75 but the 15 is negative so its -75
Answer:
-75
Step-by-step explanation:
i had the exam so it is write
Two lines are intersecting. What is the value of x?
(x + 26)
(3x - 6)º
Answers
Answer:
i don't know sorry
10 x + 2 y . Find P when: x = 3 and y = 6
help pleaseee
Answers
Answer:
42
Step-by-step explanation:
(10x3) + (2x6)
= 30 + 12
= 42
10x + 2 y = (10.3) +(2.6) = 30+12=42
Our answer is 42
find the ratio
3 ounces cost $2.73
Answers
Answer:
1 : $0.91
Step-by-step explanation:
divide 3 by 3
divide 2.73 by 3
1:0.91
Clare wants to buy a used wide-screen TV that sells for $2,000 cash. She will make a down payment of $1,000 and then six monthly payments of $200. What is the full installment price and the annual interest rate ?
Answers
The full installment price is $ 2200, and the annual interest rate is 10%.
Since Clare wants to buy a used wide-screen TV that sells for $ 2,000 cash, and she will make a down payment of $ 1,000 and then six monthly payments of $ 200, to determine what is the full installment price and the annual interest rate is due perform the following calculation:
1000 + 200 x 6 = 1000 + 1200 = 2200 1000 = 100 1200 = 120 20/12 x 6 = 10
Therefore, the full installment price is $ 2200, and the annual interest rate is 10%.
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Julia wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the
garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a
square. The area of the vegetable garden is 73.5 square feet. What is the length of the vegetable garden?
Answers
Answer:
36.75 square feet
Step-by-step explanation:
First, we can divide 73.5 into 6 to calculate area for each section. We get the answer of 12.25. Next, it says that the garden is 3x2 sections, so we multiply 12.25 by 3 to get a total of 36.75
The Julia wants to make a vegetable garden in her backyard length of the vegetable garden is 10.5 feet.
The garden is divided into 6 sections.
The dimensions of the garden are 3 sections long by 2 sections wide.
Each section is in the shape of a square.
The area of the vegetable garden is 73.5 square feet.
Let's denote the side length of each square section as "s". Since there are 6 sections, the area of the vegetable garden can be calculated as:
Total Area = Number of Sections × Area of One Section
73.5 = 6 × s²
Now, solve for the side length "s":
s² = 73.5 / 6
s² = 12.25
Taking the square root of both sides:
s = √12.25
s = 3.5 feet
Since each section is a square and has a side length of 3.5 feet, the dimensions of the garden are 3 sections long by 2 sections wide, which translates to:
Length = 3.5 feet/section ×3 sections = 10.5 feet
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Please help me no links or bots please and thank you please actually help me with this please
Answers
Answer:
[tex]y=-1 \frac{2}{3}x+5[/tex]
Step-by-step explanation:
y=mx+b is slope-intercept form
m= slope
b= y-intercept (where the line on the graph touches the y=axis aka the line that goes vertically or up and down).
The photo you have attached is very blurry but i will do my best to read the numbers on the graph.
the y-intercept looks to be at 5
so we plug that in
y=mx+5
now let's get the slope.
pick two points you can easily see,
slope is change in y over the change in x --- which is simplified below
rise over run
y2-y1 divided by x2-x1
we can see the point (0,5) and the point (3,0)
(3,0) is going to be the x2 and y2 and the other point is the x and y 1s
0-5= -5
3-0= 3
-5/3
let's simplify that
we know three goes into five once, so that gives us one whole but it's still negative because our slope is negative.
-1 2/3
that is our slope
let's plug it in:
[tex]y=-1 \frac{2}{3}x+5[/tex]
that is our answer!
50 yards would be approximately how many meters
Answers
Answer:
45.72 meters hope this helps!
I actually need help please help quickly
Answers
Answer:
NEED MORE
Step-by-step explanation:
PLEASE HELP ME!!! I"L GIVE BRAINLEST
3m + 3
m = -7
-12
-18
-16
24
Answers
Answer:
m = [tex]\frac{-421}{6}[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
x
Step 1: Simplify both sides of the equation.
3m+3m=−7−12−18−(16)x(24)
3m+3m=−7+−12+−18+(−384)
(3m+3m)=(−7+−12+−18+(−384))(Combine Like Terms)
6m=−421
6m=−421
Step 2: Divide both sides by 6.
[tex]\frac{6m}{6} =\frac{-421}{6}[/tex]
m = [tex]\frac{-421}{6}[/tex]
I really hope this help's :)Please help. Due Today
Answers
Answer:
Blank 1) 1 pound of raisins
Blank 2) 2.25 pounds of raisins
Blank 3) 1.2 pounds of almonds
Blank4) 1.4 pounds of almonds
what is 5^12 divided by 5^3 simplified
Answers
Answer: 1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Write the following statements in the form of equations.
a. The sum of five times p and 8 is 23.
b. If you subtract 6 from 3 times a number, you get 18.
c. One third of a number plus 7 is 26.
Answers
Answer:
a. The sum of five times p and 8 is 23.
how to rewrite 3/4 with the denominator 12
Answers
Multiply 4 by 3 and multiply 3 by 3 and you get 9/12
PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
R=11cm, r=3cm
Step-by-step explanation:
π(R²-r²) = π(121-9) = 112π cm² = 35.63cm².
hope this helps you.
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar because the angle to the sun is the same. Choose two equations that can be used to find the height, h, of the tree.
Answers
The two equations that can be used to find the height are as follows
12 / 4 = h /5
5 / 4 = h / 12
We have given that,
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow.
What is the similar triangles?Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of a similar triangle are a ratio to each other.
The tree casts a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,
h / 12 = 5 / 4
Therefore, h / 12 = 5 / 4
cross multiply
4h = 60
divide both sides by 4
h = 60 / 4
h = 15 ft
Therefore, the two equations that can be used to find the height are as follows
12 / 4 = h /5
5 / 4 = h / 12
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Answer:
i am on ttm
Step-by-step explanation:
12/4=h/5
5/4=h/12
please help me write an expression for area and perimeter for this rectangle
Answers
[tex]\text{Given that ,}\\\\\text{Length,}~ l = (2y+5)~\text{units.}\\\\\text{Width, } w= 3~\text{units.}\\\\\\\text{Area} = lw = (2y+5)(3) = (6y+15) ~~ \text{units}^2.\\\\\\\text{Perimeter} =2(l+w) = 2(2y+5 +3) = 2(2y+8) = (4y+16)~~ \text{units}.[/tex]
Please help :)
Chloe is an acrobat in a local circus. Her job is to move across a tightrope from point A to point B while blindfolded! She can only move using the distances that you tell her to move in your instructions. Chloe may go past the ladder. However, if she does, make sure she turns around and goes back toward the ladder.
Use the link: Link
Your Task: Work with your partner to find different combinations of the lengths given in parts (a) through (d) below that will allow Chloe to move from point A and end at point B (the end of the tightrope). You may use each length as many times as you like. .
1. For each crossing, look for at least three different ways to get the acrobat across. *Draw a diagram on your paper that shows the solution with the least amount of steps. *For the neither 2 write a number sentence/equation.
Answers
Explanation:
We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.
(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)
(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)
(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)
(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)
PLEASE HELP 40 POINTS PLSSSSSSSS
The graph shows the relationship between pounds of dog food and total cost in dollars for the dog food.
which statements about the graph is are true?
A Point shows the cost is $0 for 0 pound of dog food
B Point 10.5 shows the cost is $1 for 0.5 pound of dog food
C. Point 2. 1 shows that 2 pounds of dog food cost $1.
D. Point 2) shows the cost is $4 tor 2 pounds of dog food
E Point 10. shows that 10 pounds of dog food costs $5
Answers
Answer:
Point C
Step-by-step explanation:
Trust me it is correct
make me brainiest because I answered first pls
 1. What do you think it means when the change is positive? Negative?
2. What do you think it means when the inventory is positive? Negative?
Answers
A positive change simply means that there is more inventory the following day while a negative change means that there is less inventory the following day.
What is an inventory?An inventory or stock simply means the goods that a business can hold in order to sell or use for its production purpose.
A positive inventory simply means that the company has phones that have not yet been sold. On the other hand, a negative inventory means that the inventory count is below zero.
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12 divided by -3 is what?
Answers
-4
explanation:
when dividing with positives you would get “ 4 “ but since it’s a negative just add the minus at the start
The image shows the fossilized remains of Glyptodon, an animal group that became extinct about 10,000 years ago, and a modern armadillo. Both animals are mammals that share similar physical characteristics, such as short legs, a long tail, and a shell composed of bony plates. Which is the best explanation for the similarity between Glyptodon and the armadillo? The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon descended from a common ancestor. The armadillo and Glyptodon descended from a common ancestor.
Answers
Answer
The armadillo and Glyptodon descended from a common ancestor.
Step-by-step explanation:
what is 2^3 x 2^18 simplified
Answers
Answer:
2097152 or 2^21
Step-by-step explanation:
Answer: [tex]2^{21}[/tex]
Step-by-step explanation: Exponents are combined when simplifying a multiplication equation.
A car is 200 inches long the truck is 50% longer than the car how long is the truck
Answers
Answer:
300
Step-by-step explanation:
This question is pretty simple.
First, we just have to find 50% of 200.
So 50% is also 1/2.
1/2 of 200 is just 100. The question says that the truck is 50% LONGER than the car.
So 50% longer is 100 and 100+200(the length of the car) is 300.
The answer.