The 7 in the tenth place is equal to 7 times the value on the right
A car rental company at the local airport estimates they sell liability insurance to 45% of their customers. If they rent 3,000 cars next month, how many renters do they predict will buy liability insurance? 135 renters 150 renters 1500 renters 1350 renters
Answer:
They predict 1350 renters will buy liability insurance.
The answer is 1350 renters.
Step-by-step explanation:
Given:
A car rental company at the local airport estimates they sell liability insurance to 45% of their customers.
If they rent 3,000 cars next month.
Now, to find the renters they predict will buy liability insurance.
So, the rate of the car rental company which estimates of selling liability insurance to their customers is 45%.
And, the cars they rent next month = 3,000.
Now, to get the renters they predict of buying liability insurance by getting the rate of the cars they rent next month:
[tex]45\%\ of\ 3,000\\\\=\frac{45}{100}\times 3,000\\\\=0.45\times 3,000\\\\=1350.[/tex]
Hence, they predict 1350 renters will buy liability insurance.
Therefore, the answer is 1350 renters.
12 times 12 equal 144
Answer:
Yes, it does
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
12*12=144
A number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number different from 9.
Probability of rolling a number different from 9 is 1.
Given,
Cube with numbered 1 to 6.
Now,
Numbers on cube: 1, 2 , 3 , 4 , 5 ,6 .
Then, the sample space is
S= {1, 2, 3, 4, 5, 6}
The probability of rolling a number different from 9,
Since we don't have 9 in the sample space, then the probability of rolling a number different from 9 will be the have 1,2,3,4,5 and 6 as the outcome
Then,
P(rolling number different from 9) = 6 / 6 = 1
P(rolling number different from 9) = 1.
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Which quadratic equation best models the data in the graph? y = 0.433x2 y = 2.31x2 y = (0.433x)2 y = (2.31x)2
Answer: its a ^
Step-by-step explanation:
y = 0.433x2 is the quadratic equation that best models the data in the graph. Therefore, the correct option is option A.
What is quadratic equation?A second-order equation with the form ax2 + bx + c = 0 denotes a quadratic equation, where a, b, and c are real-number coefficients and a 0. Applications in the real world involve quadratic equations. For instance, if school administration decides to build a prayer hall with a floor size of 400 square metres.
A length that is two metres longer than its width, we will need the aid of a quadratic formula to determine the length and breadth. y = 0.433x2 is the quadratic equation that best models the data in the graph.
Therefore, the correct option is option A.
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Your question is incomplete but most probably your full question was,
Which quadratic equation best models the data in the graph? y = 0.433x2 y = 2.31x2 y = (0.433x)2 y = (2.31x)2
here is a right cone. what is the one shape of cross section we could create by slicing the cone parallel to its base
When a right cone is sliced parallel to its base, the resulting cross section is always a circle.
Explanation:If a cone is sliced parallel to its base, the shape that results is a circle. This is an aspect of conic sections, which are the curved shapes created when a plane intersects a cone. Other than circles, other possible shapes that we can obtain from slicing a cone include ellipses, parabolas, and hyperbolas, depending on the angles and location of the slice made. However, when the cut is parallel to the base, a circle is always formed. This is due to the consistent radius from the cone's axis to its slant height along the same parallel plane.
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Rewrite the function to determine whether it represents exponential growth or exponential decay. Identify the percent rate of change. Round numbers to the nearest hundredth, if necessary. y=(1.06)8t In the form y=a(1+r)t, the function is y≈ . To the nearest percent, the rate of change is a %.
Answer:
y ≈1*(1+0.59)^t. The rate of change is = 59%
Step-by-step explanation:
We have t mulitplied by 8 in the expression of y. We can write that power with a power of powers, using the property
[tex]a^{bc} = (a^b)^c = (a^c)^b[/tex]
Therefore,
[tex]a^{8t} = (a^8)^t[/tex]
If we replace a with 1.06, we obtain
[tex] y = 1.06^{8t} = (1.06^8)^t \approx 1.59^t = 1*(1+0.59)^t[/tex]
Thus, y ≈1*(1+0.59)^t. The rate of change is ln(1.59) * 1.59^t. After 1 unit of time t, the rate of change is 0.59*100 = 59%
The given function represents exponential growth with a rate of change of 6%. The function already fits the form y = a(1 + r)^t with a = 1 and r = 0.06.
Explanation:To rewrite the function y = (1.06)^8t in the form y = a(1 + r)^t, we can identify a as the initial amount and r as the rate of change. In this case, the initial amount a is implied to be 1 (since it is not explicitly multiplied by the base), and the base 1.06 represents the growth factor. Seeing as the base is greater than 1, this function represents exponential growth.
The percent rate of change can be found by subtracting 1 from the base and then converting it to a percentage. Therefore, the rate r is 1.06 - 1, which equals 0.06 or 6% when expressed as a percentage. Thus, the function in the requested form is y = (1 + 0.06)^8t, or simplifying the exponent, y = (1.06)^8t.
To the nearest percent, the rate of change is 6%.
How many feet are in 5 yards ?? Explain how you calculated your answer.
Answer:
15 feet
Step-by-step explanation:
1 yard = 3 feet
2 yards = 6 feet
3 yards = 9 feet
4 yards = 12 feet
5 yards = 15 feet
Answer:
15 feet.
Step-by-step explanation:
Hello there!
First calculate how many feet are in a yard, then multiply it by 5.
[tex]1*3=3\\3*5=15 ft[/tex]
;)
Candace drives a total of 48 miles each day to get to work and back home. She works 5 days a week. Her car gets 21 miles per gallon of gas. About how many gallons does she need to drive to work and back home each week?
Answer:
11.43 gallons used exactly per week asuming not changes in schedule or any other reasons to drive and that a one way trip is 24 miles.
Step-by-step explanation:
48 as total for two trips
five of these need to be done, so 240 miles a week assuming no other reason to drive
240 / 21 = 10 with remainder 30
so 11 and remainder 9
9/21 = nearly .43 gallons, which means as a minimum she shouldn't go below 11.5 and better yet 12 gallons.
Candace drives 240 miles each week (48 miles per day * 5 days). Given her car's fuel efficiency is 21 miles per gallon, she would therefore need approximately 11.43 gallons of gas (240 miles / 21 miles per gallon) for her weekly commute.
Explanation:To answer the question of how many gallons of gas Candace needs to get to work and back home each week, you need to first know how many miles she is driving in total for that week.
First, let's find the total miles she drives weekly. We know she drives 48 miles each day to work and back home and she works 5 days a week. So, miles per week = 48 miles per day * 5 days per week = 240 miles per week.
Next, we know her car gets 21 miles per gallon of gas. To find the gallons required, we divide the weekly miles by the miles per gallon. So, Gallons used per week = 240 miles per week / 21 miles per gallon ≈ 11.43 gallons per week.
So, she needs approximately 11.43 gallons of gas to drive to work and back home each week.
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What can you tell about the mean of each
distribution?
) The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 19 times the MAD. This is a moderate difference.
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 10 times the MAD. This is a moderate difference.
The difference between the mean cost to treat dogs A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 10 times the MAD. This is a large difference.
» The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 19 times the MAD. This is a large difference.
Answer: The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 10 times the MAD This is a large difference.
Step-by-step explanation:
I GOT THIS RIGHT! THIS IS THE ANSWER
The differences in mean costs to treat dogs and cats compared to the MAD at A New Leash on Life Animal Clinic suggest different levels of variability in the data. A 19 times difference labeled as 'moderate' implies high variability, while if labeled as 'large', the implication is that the variability is lower.
Explanation:The question relates to the comparison of the mean costs to treat dogs and cats at A New Leash on Life Animal Clinic, using the Mean Absolute Deviation (MAD) as a measure of variability. When we say that the difference between the mean cost to treat dogs and cats is about 19 times the MAD, and that this is a moderate difference, it suggests that the variability within each of the distributions is quite high, making a 19-fold difference in means seem less extreme. Conversely, the same difference being described as a large difference implies that the variability (MAD) is comparatively lower, hence a difference of the same scale appears more substantial relative to the spread of the data. This provides insight into the differences in treatment costs and the consistency of those costs within each group of animals.
Tara is carrying the following books in her backpack: a science book that weighs 2 1/2 pound, 2 library books that weigh 3/8 of a pound each, and math book that is half of the weight of her science book
Step-by-step explanation:
Science book weighs = 2 1/2 = 2.5 pounds
Library books weigh = 3/8 = 0.375 pounds
Math book weighs = 2.5 ÷ 2 = 1.25 pounds
Total weight of the books = 2.5 + 0.375 + 1.25 = 4.125 pounds
The population of cirque city was 43,129 in 1999 and was 56,780 in 2010. If the population was growing exponentially what was the growth rate
Answer:
r=2.5%
Step-by-step explanation:
An exponential growth distribution is generally expressed as:
[tex]P_t=P_oe^{rt}[/tex]
where:
[tex]P_t[/tex] is population at time t[tex]P_o[/tex] is the initial population[tex]r[/tex] is the rate of growth and t=time#Substitute the given values to solve for r:
[tex]P_{2010}=P_{1999}e^{(2010-1999)r}\\\\56780=43129e^{11r}\\\\1.31652=e^{11r}\\\\\\r=\frac{In \ 1.31652}{11}\\\\=0.024999\approx 2.5\%[/tex]
Hence, the rate of growth is approximately 2.5%
The population of Cirque City was growing exponentially at a rate of approximately 2.5% per year from 1999 to 2010.
To determine the exponential growth rate of the population in Cirque City, we will use the formula for exponential growth:
P(t) = P0 × [tex]e^{rt}[/tex]
Here, P(t) is the population at time t, P0 is the initial population, r is the growth rate, and t is the time period. Given data: P0 = 43,129 (population in 1999), P(t) = 56,780 (population in 2010), and t = 11 years. Our goal is to find r.
Start with the formula and substitute the known values:
P(t) = 43,129 × [tex]e^{11r}[/tex] = 56,780
Isolate the exponential term:
[tex]e^{11r}[/tex] = 56,780 / 43,129
[tex]e^{11r}[/tex] ≈ 1.315
Take the natural logarithm (ln) of both sides to solve for r:
ln( [tex]e^{11r}[/tex]) = ln(1.315)
11r = ln(1.315)
r ≈ ln(1.315) / 11
Calculate the value:
r ≈ 0.025
Convert to a percentage:
r ≈ 2.5%
Therefore, the population of Cirque City was growing at an exponential rate of approximately 2.5% per year.
how do you do box and whisker plots?
Answer:
Find the five number summary of the data:
Minimum = x
Quartile 1 = x
Quartile 2 (median) = x
Quartile 3 = x
Maximum = x
Then, make the plot based on that information. If you are provided with a list of data, you should be able to use a calculator to find out that information.
Final answer:
A box-and-whisker plot is graphed by organizing data, finding the five key data points (minimum, Q1, median, Q3, maximum), plotting a box from Q1 to Q3 with a median line, drawing whiskers to the minimum and maximum values, and indicating outliers if any.
Explanation:
To graph a box-and-whisker plot, start with organizing the data in ascending order and then identify the five key data points: the minimum value, the first quartile (Q1), the median (the second quartile or Q2), the third quartile (Q3), and the maximum value. Follow these steps:
Find the median of the entire data set. This divides the data into two halves.Find the first quartile (Q1), which is the median of the lower half of the data, and the third quartile (Q3), which is the median of the upper half of the data. The interquartile range (IQR) is the distance between Q1 and Q3.Identify the minimum and maximum values in the data set that are not outliers. Outliers are determined by using the values Q1 - 1.5(IQR) and Q3 + 1.5(IQR).Draw a number line that adequately represents the range of the data.Plot a box from Q1 to Q3 and draw a line inside the box at the median value.Draw whiskers from Q1 to the minimum value and from Q3 to the maximum value.Indicate any outliers with dots if they are present.PLEASE HELPPP!!!!!!!!!!
A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?
A) 2 ft by 6 ft
B) 2 ft by 8 ft
C) 4 ft by 3 ft
D) 4 ft by 4 ft
Answer:
the answer is A
Step-by-step explanation:
if you are really stuck just go through each possible answer to see if its right
here is some help for solving:
area is equal to length times width or A = L x W
perimeter is equal to length plus width plus length plus width or L+W+L+W
perimeter is just adding up all the sides of the square or rectangle
so if you try with answer a you get:
2 x 6 = 12 and 2 + 6 + 2 + 6 = 16
the answer is A
What are the solutions of x2+10x+16=0
Jorge has 10 more dimes than quarters and the collection of coins is worth $2.40. How many dimes and quarters does Jorge have? Show your work.
Answer:
4quarters and 14dimes
Step-by-step explanation:
Find the accumulated value of an investment of 15,000 for 4 years at an interest of 4% if the money is a. Compound semiannually; b. Compounded quarterly; c. Compounded monthly; d. Compounded continuously.
Answer:
Compounded Semiannually: $17,574.89
Compounded Quarterly: $17,588.68
Compounded Monthly: $17,597.98
Compounded Continuously: $17,602.66
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 4% into a decimal:
4% -> [tex]\frac{4}{100}[/tex] -> 0.04
Now, plug in the values to the equation:
Compounded Semiannually:
[tex]A=15,000(1+\frac{0.04}{2})^{2(4)}[/tex]
[tex]A=17,574.89[/tex]
Compounded Quarterly:
[tex]A=15,000(1+\frac{0.04}{4})^{4(4)}[/tex]
[tex]A=17,588.68[/tex]
Compounded Monthly:
[tex]A=15,000(1+\frac{0.04}{12})^{12(4)}[/tex]
[tex]A=17,597.98[/tex]
To find the value if compounded continuously, use the following formula:
[tex]A = Pe^{rt}[/tex]
[tex]A=15,000e^{0.04(4)}[/tex]
[tex]A=17,602.66[/tex]
The accumulated value of an investment is calculated differently depending on the compounding period - semiannually, quarterly, monthly or continuously. This involves the compound interest formula and understanding of how interest rates work.
Explanation:The subject of this question is about calculating the accumulated value of an investment at a given interest rate with various compounding periods i.e., semiannually, quarterly, monthly, and continuously. We first need to understand that compound interest is calculated on the principal plus the accumulated interest.
To calculate the future value of the investment, we use the compound interest formula: P*(1+r/n)^(nt), where P is the principal (or initial investment), r is the annual interest rate (in decimal form), n is the number of compounding periods per year, and t is the time in years.
Semiannually: P*(1+r/2)^(2*4)Quarterly: P*(1+r/4)^(4*4)Monthly: P*(1+r/12)^(12*4)Continuously: P*e^(rt), where e is Euler's number, approximately equal to 2.71828.Learn more about Compound Interest here:https://brainly.com/question/34614903
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Solve the equation 9.7x +6.5= 103.5
Answer:
The answer is x=10
Step-by-step explanation:
Answer:
the answer to the equation is x=10
Find the missing length
Answer:
9 yd
Step-by-step explanation:
15 yd - 6 yd = 9 yd
Please mark my answer as brainiest
Answer:
9 yd
Step-by-step explanation:
The top has a length of 15 yd
The bottom has a length of 6 +x
15 = 6+x
Subtract 6 from each side
15-6 = 6-6+x
9 = x
9 yds in the missing length
A study has indicated that the sample size necessary to estimate the average electricity use by residential customers of a large western utility company is 900 customers. Assuming that the margin of error associated with the estimate will be ±30 watts and the confidence level is stated to be 90 percent, what was the value for the population standard deviation?
Answer:
[tex]\sigma=547.1125[/tex]
Step-by-step explanation:
-The margin of error is calculated using the formula:
[tex]ME=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}\\\\[/tex]
-We substitute the values, n=900 and ME=30 in the formula to solve for standard deviation:
[tex]ME=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}\\\\\\30=1.645\times\frac{\sigma}{\sqrt{900}}\\\\\sigma=\frac{30^2}{1.645}\\\\=547.1125[/tex]
Hence, the population standard deviation is 547.1125
Quentin was challenged to a half- court shooting competition. He will earn 20 points for every shot made and lose 5 points for every shot missed. Quentin has zero points. How many shots did he make
Answer:
Quentin made a total of 4 shots
Step-by-step explanation:
The complete question is as follows;
Quentin was challenged to a half-court shooting completion. For every half-court shot he makes, he will earn 20 points. For each half-court shot he misses, he will lose five points. After 20 half-court shots, Quentin has zero points. How many half-court shots did he make?
Now let's answer;
Let the number of shot he makes be x and the number of shot he misses be y
For every shot made, we have +20, for every shot missed, we have -5
Firstly we know that adding both numbers would give 20.
Mathematically;
x + y = 20 (i)
Now, we add the number of points he made to the number of points he missed to give a total of 0
Mathematically, that would be;
+20x -5y = 0 (ii)
from i, y = 20-x
Substitute this in ii
20x -5(20-x) = 0
20x - 100 + 5x = 0
25x = 100
x = 100/25
x = 4
This means that he made 4 shots
what is the rate of a house bought for $50,000 in 1980 was sold for $150,000 in 1990?
Answer:
3 fold or 3 times
Step-by-step explanation:
The rate of increase of the house is 200%.
Explanation:To calculate the rate of increase of the house, we can use the formula:
Rate = ((Final Value - Initial Value) / Initial Value) * 100
Using the given values, the rate of increase of the house is: ((150000 - 50000) / 50000) * 100 = 200%
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Evaluate g(x)=x^3+9 when x=-2
Answer:
g(x) = 1
Step-by-step explanation:
A land surveyor was measuring the distances from various pA land surveyor was measuring the distances from various points on a plot of land. Her measuring tool broke before the last leg measure was determined. Right triangle A B C. Side A C is x, side A B is 12 feet, and hypotenuse B C is 37 feet. The unknown length can be found using the Pythagorean theorem. The theorem states that the of the squares of the legs is the square of the hypotenuse. The missing length is feet.oints on a plot of land. Her measuring tool broke before the last leg measure was determined. Right triangle A B C. Side A C is x, side A B is 12 feet, and hypotenuse B C is 37 feet. The unknown length can be found using the Pythagorean theorem. The theorem states that the of the squares of the legs is the square of the hypotenuse. The missing length is feet.
This is sorta late, but here's the answer for the people who are going to be searching it up in the future:
The first one is sum
The second one is equal to
The third one is 35
Good luck, guys!!
Answer:
sum
equal to
35
Step-by-step explanation:
The theorem states that the sum of the squares of the legs is equal to the square of the hypotenuse.
The missing length is 35 feet.
2xn= 26. Find a value of n that makes the statement true.
Answer:
13
Step-by-step explanation:
Which is the graph of r = 4 sin theta
Answer:
the second one
Step-by-step explanation:
Option (b) represents the graph of r = 4 sin θ.
What is polar curve?"A polar curve is a shape constructed using the polar coordinate system."
We have been given a function r = 4 sin θ .
We need to determine the graph for given function.
We know, r = a sin θ is a circle where “a” is the diameter of the circle that has its bottom-most edge at the pole (origin).
This means, r = 4 sin θ is a circle that has bottom-most edge at the origin (0, 0).
In the graph (b), a circle has bottom-most edge at the pole.
Therefore, the correct graph is option (b)
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What is the area of a triangle whose sides measure 12 inches, 14 inches, and 18 inches?
Enter your answer, in simplified radical form, in the box.
Answer:
A = [tex]8\sqrt{110}[/tex] [tex]inches^{2}[/tex]
Step-by-step explanation:
In this question, we are tasked with calculating the area of a triangle given the length of its three sides
Mathematically, we can calculate this using the Heron's formula
For Heron's formula, A = [tex]\sqrt{S(S-A)(S-B)(S-C)}[/tex]
WHERE S = [tex]\frac{A+B+C}{2}[/tex]
we take the lengths of the triangle as A,B and C respectively as given
S = (12 + 14 + 18)/2 = 22
Plugging the values into the equation, we have;
A = [tex]\sqrt{22(22-12)(22-14)(22-18)}\\ \\\sqrt{22(10)(8)(4)} \\\\\sqrt{7040}[/tex]
A = [tex]8\sqrt{110}[/tex] [tex]inches^{2}[/tex]
Answer:
8*sqrt(110)
Step-by-step explanation:
Why should you use the mean and mean absolute deviation (MAD) to compare populations with symmetrical distributions?
A. The mean and MAD will make graphs of the data appear asymmetrical.
B. The mean and MAD eliminate the influence of outliers.
C. The mean and MAD can accurately describe the “typical” value in the symmetric data set.
D. The mean and MAD make the data distribute more unevenly.
Answer:
c
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
To make banana berry smoothies, Just Juice mixes water and juice in a ratio of 5 to 3. How much water and juice should Just Juice mix to make 104 quarts of banana berry smooties?
Answer:
65 quarts of water and 39 quarts of juice are required to make 104 quarts of banana berry smoothies
Step-by-step explanation:
Given:
Ratio of water and juice in banana berry smoothies = [tex]5:3[/tex]
To find:
Amount of water and juice required to make 104 quarts of banana berry smoothies
Solution:
Amount of water required to make 104 quarts of banana berry smoothies = [tex]\frac{5}{8}[/tex]×104 = 5×13 = 65 quarts
Amount of juice required to make 104 quarts of banana berry smoothies = [tex]\frac{3}{8}[/tex]×104 = 3×13 = 39 quarts
So,
65 quarts of water and 39 quarts of juice are required to make 104 quarts of banana berry smoothies.
To make 104 quarts of banana berry smoothies with a water to juice ratio of 5:3, Just Juice should mix 65 quarts of water with 39 quarts of juice.
Explanation:To make banana berry smoothies with a mix of water and juice in a ratio of 5 to 3, and to create a total of 104 quarts, we need to find the amount of water and juice separately. Since the total parts of the ratio is 5 parts water plus 3 parts juice, which equals 8 parts, we can calculate the amount of each as follows:
Divide the total amount of smoothie by the total number of parts: 104 quarts / 8 parts = 13 quarts per part.Multiply the quarts per part by the number of parts for water: 13 quarts x 5 parts = 65 quarts of water.Multiply the quarts per part by the number of parts for juice: 13 quarts x 3 parts = 39 quarts of juice.Therefore, Just Juice should mix 65 quarts of water with 39 quarts of juice to make 104 quarts of banana berry smoothies.
Thomas rays parents begin saving to buy their son a car for his 16th birthday. they save $800 the first year and each year they save 5% more than the previous year. How much money will they have saved for his 16th birthday.
Answer:
money they will have saved for his 16th birthday = $18,926
Step-by-step explanation:
This is a geometric series problem.
The sum of a geometric series is given by the formula;
Sn = a1•(rⁿ - 1)/(r - 1)
Where;
a1 is the first term
n is the number of terms
r is the constant ratio
Now, in this question, they started saving since he was born till his 16th birthday. That's 16 years. Thus number of terms; n = 16
Also, the first money saved was $800, thus the first term; a1 = 800
They save 5% more each year than the previous year. That's an increase of 1.05 each year. Thus, the common ratio; r = 1.05
The amount of money they will have by his 16th birthday will be;
S_16 = 800•(1.05^(16) - 1)/(1.05 - 1)
S_16 = 800(1.18287458838/0.05)
S_16 = $18,926
S16 = $800·(1.05^16 -1)/(1.05 -1)
how can you use measures of the center to describe a data set
Measures of the center, such as mode, median, and mean, provide a summary of typical values in a data set.
Explanation:The measures of the center, "such as the mode, median, and mean", provide a summary of the typical values in a data set. The mode is the most frequent value, the median is the middle value, and the mean is the arithmetic average. These measures help describe the central tendency of the data, giving insight into what is considered a typical response or value.
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