Answer:
224
Step-by-step explanation:
60% more than 140
PLS HELP! Will give 25 points!
Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:
Number of years 1 2 3
Option 1 (amount in dollars) 1100 1210 1331
Option 2 (amount in dollars) 1100 1200 1300
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer.
Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.
Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option.
Answer and explanation:
Given: Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:
Number of years 1 2 3
Option 1 (amount in dollars) 1100 1200 1300
Option 2 (amount in dollars) 1100 1210 1331
To find:
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2?
Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.
Part C: Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1?
Solution:
Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.
Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.
Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.
Part A:
In the case of option 1, the linear function can be used to describe the value of the investment after a fixed number of years. This is because, in option one, the amount increases by a fixed amount every year.
In the case of option 2, the exponential function can be used to describe the value of the investment after a fixed number of years. This is because, in option 2, the amount increase is higher than last year.
Part B:
For option 1, the function is
For option 2, the function is
Here, x is the increase in amount every consecutive year.
Part C:
After 20 years, the amount from option 1 would be 3000 and the amount from option 2 would be 4900. Thus, there is a difference between 1900.
Therefore,
Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.
Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.
Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.
Hope this helps
What percentage is the fraction equal to?
ur fatherless
lllmaaao
A number c divided by 18
Answer:
The question is not complete
Factor completely. (a-b)*z+3(b-a)^2
Best answer gets brainliest+50 points, troll answer will be reported.
Answer:
az-bz+3b^2-6ab+3a^2
Hope this helps
Apple weights in an orchard are normally distributed. From a sample farmer Fred determines the mean weight of a box of apples to be 270 oz. with a standard deviation of 10 oz. He wonders what percent of the apple boxes he has grouped for sale will have a weight less than 255 oz. Z .00 .01 .05 ооооо 0.0 0.1 0.2 0.3 0.4 0.5 0000 .0398 .0793 .1179 .1554 .1915 .0040 0438 .0832 .1217 .1591 1950 0199 .0596 0987 .1368 .1736 2088 on Au OOOO - 0.6 0.7 0.8 0.9 1.0 DO NO 2257 .2580 .2881 3159 .3413 .2291 2611 2910 3186 3438 .2422 2734 3032 3289 3531 1.2 1.3 .3643 .3849 4032 .4452 4332 .3665 13869 4049 4207 4345 -3749 3944 4115 4265 4394 1.5 1.6 1.7 1.8 1.9 2.0 4452 4554 4641 -4713 4772 4463 4564 .4649 4719 4778 4505 4599 4678 -4744 4789 2.1 2.2 2.3 2.4 2.5 4821 .4861 4893 4918 4938 4826 4864 4996 4920 4940 4842 4878 4906 4929 4946 2.6 2.7 2.8 2.9 3.0 4953 4965 .4974 4981 4987 4955 4966 4975 4982 4987 4960 4970 4978 4984 -4989 . Carl calculates the z-score corresponding to the weight 255 oz. = Using the table (column.00), Carl sees the area associated with this z-score is O. Carl rounds this value to the nearest hundredth or 0. Now, Carl decides to find the percent associated with boxes less than 255 oz. so he rounds to hundredths and subtracts 0.50 -0. %. Unlimited Attempts Remain
Answer:2.07 is the answer as of e.2020
Step-by-Step: Mean = 270 Standard deviation = 10 x = 255 Formula for z-score, z = (x - mean)/SD z = (255 - 270) / 10 => z = -15 / 10 => z = -1.5 So by referring to z-table, -1.5 correlates to 0.0668 that implies to 0.07 So 7% of the boxes of Apples weight less than 255oz. The percentage of boxes is in the range of 255 oz and 270 oz, Now calculating the requiring percentage 50% - 7% = 43%
I am really confused and need help.
Answer:
The 3rd, 4th, and 6th are correct but I'm not sure if the second would be correct as well.
Step-by-step explanation:
can 3 meters and 2 km be expresses as a ratio.
Answer:
yes, you can just write it as 3m : 2km
Step-by-step explanation:
I don't know if this is completely right, but I know you can also turn 3m into km by multiplying it by 1000, (because there are 1000 m in every km) and then solve because 3000km/2km = 1500km
So to solve would be 1500 km. I hope the first answer is right though. Did I help? Let me know in the comments
3/4 + 4/7 in lowest terms
Answer:
37/28 is the lowest form
Step-by-step explanation:
Hope this helps! :)
How many wholes are in 7/2
Answer:
3 Wholes
Exact Amount: 3.5
please i need the answer
If 20 kids were on abus ad 5got off to finger there holes how many kids are on the bus now
Answer:
15
Step-by-step explanation:
Write an equation that can be used to answer the questions. Then solve. Round to the nearest tenth if necessary.
How tall is the building?
Answer:
17.3 ft
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
10^2 + h^2 = 20^2
100 + h^2 =400
Subtract 100 from each side
h^2 = 400-100
h^2 = 300
Taking the square root of each side
sqrt(h^2) = sqrt(300)
h = 17.32050808
Rounding to the nearest tenth
h = 17.3 ft
Jake plans to make and sell wooden birdhouses. He plans to sell each birdhouse for $50, his income can be found using the equation I(x) = 50x, where x is the number of birdhouses he sells. It costs him $10 in materials for each birdhouse, so his expenses can be found using the equation E(x) = 10x. Use function operations to find an equation for his profit, P(x), and find his profit if he sells 20 birdhouses.
Answer:
290 Is the answer I answered it before
A dog on a 5-foot leash runs around in one full circle while its owner stands still. Which is closest to the distance the dog went?
The distance closest to the distance the dog went is 31.42 ft
Since the dog moves around in one full circle, the distance the dog moves is the circumference of a circle.
Circumference of a circle
The circumference of a circle C = 2πr where r = radius of circle.
Now r = length of leash = 5 foot
So, substituting r into the equation, we have
C = 2πr
C = 2π × 5 ft
C = 10π ft
C = 10 × 3.142 ft
C = 31.42 ft
So, the distance closest to the distance the dog went is 31.42 ft
Learn more about circumference of a circle here:
https://brainly.com/question/15673093
Select the correct answer. What is the ratio of the area of the inner square to the area of the outer square? A. B. C. D.
Answer:
the answer is written below
Step-by-step explanation:
Let side of Inner square be S and side of Outer side be mS.
Area of Inner Square = S**2
Area of Outer Square = (mS)**2
The ratio of area of Inner Square and Outer Square is 1:m**2
i.e. Area of Outer Square will be m**2 times Area of Inner Square.
Consider the following expression.
Select all of the true statements below.
7a+3b+4
7a is a factor.
7a+3b is written as a sum of three terms.
7a and 4 are like terms.
7a is a coefficient.
4 is a constant.
None of these are true.
Answer:
None of these are constant
QUESTION IN PIC- 20 POINTS
Answer:
18 terms
Step-by-step explanation:
The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...
an = 2 +5(n -1) = 5n -3
We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...
an = 4n +15
We can find n that makes this true by setting the 'an' values equal:
an = an
5n -3 = 4n +15
n = 18 . . . . . . . . . . add 3-4n
The number of terms in each sequence is 18.
_____
Additional comment
The last term in each sequence is 87.
Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds. Use the diagram to write an equation to represent the dogs’ weights. Let f represent the weight of Luisa’s dog.
A long rectangle is the top section. 2 smaller rectangles are the bottom section.
The top section represents
.
The bottom section represents
.
The equation is
.
Find the circumference of each circle. Use 3.14 for it. Round to the nearest 1 point
hundredth, if necessary. *
Answer:
π represents the ratio between circumference and diameter and for any circle, its always 3.14. Circumference = pi × diameter, so using your approximation of pi it's 10×3.14 = 31.4cm.
Step-by-step explanation:
Tell how much each person gets when they share equally.
6 people share 12 muffins.
Answer: 2
If there are 6 people, and there are 12 muffins, then we simply divide 12 by 6. This gives us 2. Which means that each person can get 2 muffins.
Step-by-step explanation:
Hope this helps =)
someone pls help me..
Answer:
[tex]32x^2 \sqrt[3]{2x} - 8x^3[/tex]
Step-by-step explanation:
[tex]\hookrightarrow 4x\sqrt[3]{4x^2}\left(2\sqrt[3]{32x^2}-x^3\sqrt{2x}\right)[/tex]
[tex]\hookrightarrow 8x\sqrt[3]{32x^2 } \sqrt[3]{4x^2} -4x^2 \sqrt[3]{4x^2} \sqrt[3]{2x}[/tex]
[tex]\hookrightarrow 2^5\sqrt[3]{2}x^{\frac{7}{3}}-2^2\cdot \:2^{\frac{2}{3}}\sqrt[3]{2}x^3[/tex]
[tex]\hookrightarrow 32\sqrt[3]{2}x^{\frac{7}{3}}-4\cdot \:2^{\frac{2}{3}}\sqrt[3]{2}x^3[/tex]
[tex]\hookrightarrow 32x^2 \sqrt[3]{2x} - 8x^3[/tex]
A mole starts out in its burrow 5.1 feet below the surface of the ground. It digs straight up at a rate of 0.4 feet per minute.
How long does it take for the mole to reach a depth of -3.7 feet?
Enter your answer as a decimal in the box.
The mole approximately 3.5 minutes to reach a depth of -3.7 feet.
To determine how long it takes for the mole to reach a depth of -3.7 feet, we need to calculate the time it takes to cover the distance between its starting point and the target depth.
The mole is digging straight up at a rate of 0.4 feet per minute.
Since the target depth is negative, we can consider it as a negative displacement.
The distance the mole needs to travel can be calculated as follows:
Distance = Target depth - Starting depth
Distance = -3.7 feet - (-5.1 feet)
Distance = -3.7 feet + 5.1 feet
Distance = 1.4 feet
Now, we can calculate the time it takes for the mole to cover this distance using the formula:
Time = Distance / Speed
Time = 1.4 feet / 0.4 feet per minute
Time = 3.5 minutes
Therefore, the mole approximately 3.5 minutes to reach a depth of -3.7 feet.
For such more questions on mole
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Solve each system of equations using the elimination method
4x-y=-2
2x+y=2
x = 0
y = 2
Step-by-step explanation:
4x - y = -2
2x + y = 2
-------------- add the equations
6x = 0
x = 0
substitute x in equation 1
0 - y = -2
y = 2
if un=0.75n-1 +3 and u0=10, find u4
5) The length of one side of a square is 12 meters. To the nearest tenth, find the length of a diagonal of the square.
Answer:
17.0 meters
Step-by-step explanation:
The diagonal of a square is calculated as sqrt(2) x a, where a is the side
= sqrt (2) x 12 = approx. 16.97 (round to 17.0)
Hope this helps :)
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325. Kevin wanted to go snowboarding for his vacation. He looked up annual snowfall of both resorts over a ten-year period to determine which resort would have the better snowfall. Compare the two box plots and use the drop-down menus to determine where Kevin should plan to go for vacation. What is the approximate median snowfall at Resort A? What is the approximate median snowfall at Resort B?.
Box plot 5 important descriptive measures about data that they represent.
The median snowfall for Resort B is greater than the median for Resort A
The interquartile range has higher values for Resort A than for Resort B.
Resort B has more snowfall overall than Resort A does.
How does a boxplot show the data points?
A box plot has 5 data descriptions.
The leftmost whisker shows the minimum value in the data.
The rightmost whisker shows the maximum value in the data.
The leftmost line in the box shows the first quartile.
The middle line shows the median, also called the second quartile.
The last line of the box shows the third quartile.
How to find the interquartile range?IQR(interquartile range) is the difference between the third and first quartile.
Inferring the information each box plot describe, we get:
Case 1: For resort A:
Wisker's minimum value = minimum value for resort A = 175
Maximum value = 375
Box's minimum value = First quartile = 250
Box's maximum value = Third quartile = 300
First quartile = 250 < Median = Second quartile < 300 = third quartile
Thus, 250 < Median for resort A < 300
IQR = Third quartile - first quartile = 300 - 250 = 50
Range of values = Max - min = 375 - 175 = 200
Case 2: For resort B:
Wisker's minimum value = minimum value for resort B = 200
Maximum value = 400
Box's minimum value = First quartile = 300
Box's maximum value = Third quartile = 325
First quartile = 300 < Median = Second quartile < 375 = third quartile
Thus, 300 < Median for resort B < 375
IQR = Third quartile - first quartile = 325 - 300 = 25
Range of values= Max - min = 400 - 200
Thus, it is visible that:
Median for resort A < 300 < Median for resort B
or
Median for resort A < Median for resort B.
and
IQR for resort A = 50 > IQR for resort B = 25
and
Both have the same variation as both ranges are the same, which is the interval of values assumed for both resorts.
Hence, Minimum, maximum, first, and third quartile all are smaller for resort A, thus, Resort B has more snowfall overall than Resort A does.
Learn more about boxplot here:
brainly.com/question/1523909
What is the approximate median snowfall at Resort A?
✔ 275 inches
What is the approximate median snowfall at Resort B?
✔ 325 inches
............................
Answer:
? wdym
Step-by-step explanation:
well points i guess i also need one more brainliest if you can give
Answer:
The first one answer is 4 because 8x2=16 divide by 4 will equal 4.
The second one answer is 10 because 10 x 4=40 and divided by 4 will equal 4.
The third one answer is 6/6 which will equal 1 because it is an whole number.
Helped by QueenTloveI hoped this helped you out have an nice day.0.0000024 in scientific notation
13. Online Car Auctioneer charges a commission for classified ads. If the car sells,
the seller is charged 4% of the advertised price, not of the price for which the
car actually sells. If the car doesn't sell, the seller pays nothing. If Barbara
advertises her Cadillac for $12,000 and sells it for $11,200, how much must
she pay for the ad?
Answer:
480
Step-by-step explanation:
4% of 12,000=480
HELP…this is probably easy…but still help.
Answer:
A) The parallelogram is a rhombus
Step-by-step explanation:
A rhombus is an equally 4-sided figure with two acute angles and two obtuse angles opposite of each other.