Take into account that earnings for accounts A and B can be written as follow:
account A:
500 + 60t
account B:
500(1 + 0.06)^t = 500(1.06)^t
Now, if you replace for different values of t, in order to compare the earnings for each account, you can determine what is the value of t which makes earnings from account A greater than earnings from account B.
For instance, if you use t=22 and t=23
500 + 60(22) = 1820
500(1.06)^22 = 1801.76
500 + 60(23) = 1880
500(1.06)^23 = 1909.87
As you can notice, after t = 23 years the earnings from account B are greater than earnings from account B.
Need the answer to number 24
You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.
Which measure of center is most appropriate, and what is the value of the measure of center?
A median; $1.35 million
B mode; $1.5 million
C median; $2.15 million
D mean; $4.9 million
E mean; $5.58 million
The data set is as follows, going from smallest to largest:
$1,2,000,000, $1.5,000,000, $1.5,000,000, $2.8,000,000, $3.5,000,000, and $18,9,000,000
The middle two figures are $2.8 million and $3.5 million because the data set has six items. These two values' average is:
($2.8 million plus $3.5 million) / 2= $1.35 million.
As a result, the median serves as the most accurate measure of the centre, and its value is $1.35 million. The median price is (A), or $1.35 million.
Describe Standard Deviation.Standard deviation is a statistical measure that indicates how much the values in a dataset deviate from the mean or average value of the dataset. It measures the spread or variability of the data around the mean.
The standard deviation is calculated by taking the square root of the variance of the dataset. The variance is the average of the squared differences between each data point and the mean. In other words, it measures how much the data points vary from the mean squared.
The formula for calculating the standard deviation is:
Standard deviation = sqrt( Sum \((x - mean)^2\) / (n - 1) )
where x is each data point in the dataset, mean is the average value of the dataset, and n is the number of data points in the dataset.
A higher standard deviation indicates that the values in the dataset are more spread out or have more variability, while a lower standard deviation indicates that the values are more tightly clustered around the mean.
Standard deviation is widely used in statistics and data analysis to measure the variability of data and to compare the spread of different datasets. It is used to assess the degree of risk and uncertainty associated with a given set of data, and it plays a crucial role in various fields, such as finance, engineering, and social sciences.
Given that we have a range and a standard deviation for the annual contracts obtained for the sports agent's clients, we can use these measures to determine the most appropriate measure of center.
The range is the difference between the largest and smallest values in the data set, which in this case is 17.7. The standard deviation is a measure of the spread of the data around the mean, which in this case is 6.3.
If the range is relatively small compared to the standard deviation, then the mean is the most appropriate measure of the center, since it takes into account the value of every data point. However, if the range is relatively large compared to the standard deviation, then the median is a more appropriate measure of center since it is less affected by extreme values in the data set.
In this case, the range of 17.7 is relatively large compared to the standard deviation of 6.3, which suggests that the median is the most appropriate measure of the center. We can find the median by arranging the data set in order from smallest to largest and finding the middle value. If there are an even number of values, we take the average of the two middle values.
The answer (B) mode; $1.5 million is incorrect because there are two modes ($1.5 million appears twice). The answers (D) mean; of $4.9 million and (E) mean; of $5.58 million are incorrect because the range is relatively large compared to the standard deviation, which indicates that the mean may be influenced by the extreme values in the data set.
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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = -16x + 16
Step-by-step explanation:
You can write a linear equation by getting the slope (m) and y-intercept (b).
To get the slope, you have to (y2 - y1) / (x2 - x1).
Which in this case, I'm going to used points (0,16) and (1,0).
So,
(0 - 16) / (1 - 0) = -16 / 1 = -16
m = -16
Now since we have the slope, the equation would look like y = -16x + b
You then have to input any x and y points (I'm going to use 1,0).
0 = -16(1) + b
0 = -16 + b
b = 16
Put this all together,
y = -16x + 16
Hope this helps :)
Let me know if there is any mistakes!!
Answer:
y = -16x + 16
Step-by-step explanation:
(8.02) An archaeological dig turns up large numbers of pottery shards, broken stone implements, and other artifacts. Students working on the project classify each artifact and assign it a number. The counts in different categories are important for understanding the site, so the project director chooses 2% of the artifacts at random and checks the students' work. What are the population and the sample here
Answer:
The answer is "Population: All artifacts discovered in the dig. Sample: The selected 2% of the artifacts".
Step-by-step explanation:
The sampling procedure is just the structure or road map towards choosing a sample, and it influences several other important elements of a survey. It provides a fundamental plan including technique for sample selection, and in this, question community of all the items found throughout the dug, and the population of the Sample is 2% of the objects picked.
2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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The length of a rectangle is twice its width. If the perimeter of the rectangle is 36yd , find its length and width.
Answer:
3 and 6
Step-by-step explanation:
A truck costing $56,000 has accumulated depreciation of $50,000. The truck is sold for $8,500. What is the journal entry for this transaction?
Answer: debit Cash for $8,500, debit Accumulated Depreciation− Truck for $50,000, credit Truck for $56,000, and credit Gain on Disposal for $2,500.
Write in standard form 0.0003251
Answer:
Step-by-step explanation:
The answer is 3.2510 x 10^-4
Please tell me weather it’s true or fade for each one please!
Answer:
False, true, true, false, false
Step-by-step explanation:
how would you demonstrate the understanding of estimating a non perfect square? Estimate 388 to the nearest whole number.
Answer:
20
Step-by-step explanation:
Square root of 388=19.6977156
20
rite the following ratio as a fraction in lowest terms.54to56
We want to write the ratio of 54 to 56 as a fraction in lowest terms. To do this we have to factorize the numbers and simplify the equals factors:
\(\begin{gathered} \frac{54}{56}=\frac{2\cdot27}{2\cdot28}=\frac{27}{28}=\frac{3\cdot3\cdot3}{4\cdot7} \\ In\text{ the last, we cannot simplify the factors, so the lowest terms are:} \\ \frac{54}{56}=\frac{27}{28} \end{gathered}\)A playground 88 ft long and 58 ft wide is to be resurfaced at a cost of $2.75 per sq ft. What will the resurfacing cost?
The resurfacing will cost $.
(Simplify your answer. Type an integer or a decimal.)
Answer: $1856
Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856
If A = (-2, -4) and B = (-8, 4), what is the length of ?  A. 14 units  B. 16 units  C. 10 units  D. 12 units
Find the equation of the line with slope of 3 and y-intercept
of -4.
Answer:
y = 3x - 4
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 3
y-intercept b = -4
Step 2: Write linear equation
y = 3x - 4
And we have our final answer!
allprime numbers are not divisible by two true or false
Answer:
False
Step-by-step explanation:
This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).
100 POINTS! You and a friend are hiking and find yourselves near the top of a waterfall. There is a path to hike down that takes 1.8 miles to reach the bottom safely and go swimming. There is also a path that is 1.3 miles down to a great place to eat lunch. Your friend wants to stay at the top of the waterfall and fly his drone overhead to take pictures from the sky. A drone is a flying robot that can be remotely controlled with computer software or technology. Draw a vertical number line to help you answer the questions.
Part A: How far would the drone need to fly up in the air to be the opposite distance from you when you are eating lunch? (3 points)
Part B: How far would the drone need to fly up in the air to be the opposite distance from you when you are swimming? (3 points)
Part C: What does the value of zero represent in this problem? (3 points)
Part D: Use absolute value to show that if you hike down to go swimming and then hike back to the top to meet your friend that you hiked the same distance in both directions. (3 points)
The vertical number line would represent the height above ground level.
The total distance of the waterfall is:
1.8 + 1.3 = 3.1 milesSo, the opposite distance from where you are eating lunch would be:
3.1 - 1.3 = 1.8 milesTherefore, the drone would need to fly up 1.8 miles in the air..
Part BSimilarly, to find the opposite distance from where you are swimming, we need to subtract the distance of the path to the bottom from the total distance of the waterfall.
So, the opposite distance from where you are swimming would be:
3.1 - 1.8 = 1.3 milesPart CIn this problem, the value of zero represents the top of the waterfall where you and your friend are currently standing.
Part DLet's say the distance from the top of the waterfall to the bottom is d miles. So, the total distance you hike to reach the bottom and then back to the top would be 2d miles.
Now, if you hike down to go swimming, the absolute value of the distance you cover would be |d|.
And if you hike back to the top, the absolute value of the distance you cover would be |-d| = |d|.
Since both distances are equal, we can say that you hiked the same distance in both directions.
elsa sold 24 drawings for $12 each at the art fair. She is going to use 1/3 of the money to buy books. The rest of the money is going into her savings account. How much money will she put into her savings account?
HELP ASAP PLEASE!!!!
Find an equation for the line, in the indicated form, with the given properties.
Containing the points (7, 4) and (0, 2); general form
Answer:
hope this helps
Step-by-step explanation:
take (y2-y1) over (x2-x1) and solve for b then take one of the coordinates and plug in for x and y
Write the missing term in the pair of equivalent ratios.
63:90 = 14: ___
Please help I will reward brainliest
Answer:
20
Step-by-step explanation:
14/63=2/9=20/90
What is the value of t?
Answer: attached 47 degrees
Step-by-step explanation:
There is three inner triangles the total angle is 540 or 180*3 see comment
The weights of three samples from an experiment are 1.25050 g, 2.50055 g, and 2.74099 g.
What is a reasonable estimate for the total weight of all three samples?
5.5 g
6.0 g
6.5 g
I don't know.
Answer:
Ans ; 6.5 g
Step-by-step explanation:
Ans; 1.25050+2.50055+2.74099 = 6.49204 = 6.49 = 6.5 g
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Match each function with the corresponding function formula when h(x) = 5 - 3x and g(x) = -3x + 5.
Answer: -5=x
Step-by-step explanation:
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(HELP URGENT RESPOND QUICKLY) What is the correct classification of 32?
Answer: Option 1. irrational number, nonrepeating decimal
Step-by-step explanation:
the simplified version of √32 is 4√2
√2 is not a rational number since it can't be written in the form of fraction, so √32 is also irrational.
√2 is equal to 1.414213562... this is nonrepeating, which means, √32 is nonrepeating.
Hope this helps!! :)
Please let me know if you have any question or need further explanation
34,02 - (-38,3)=
what is the anwer?
to subtract a negative number from a positive is no different than adding 2 positives together.
The way i remember this is by looking at "-(-" and kind of squinting. If you squint hard enough, it kind of looks like a distorted +.
To solve this, just add them as if they were too positives.
Determine the degree of the polynomial -57
Answer:
linear polynomial
Step-by-step explanation:
as no degree is given
Johnny kicks a rugby ball through the posts from 60 meters away. The ball takes 5.5 seconds to travel from his foot to the posts. What was the ball’s average speed?
The required average speed of the ball is given as 10.9 meters per second.
Given that,
Johnny kicks a rugby ball through the posts from 60 meters away. The ball takes 5.5 seconds to travel from his foot to the posts. What was the ball’s average speed is to be determined.
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Speed = distance/time
Speed = 60 / 5.5
Speed = 10.9
Thus, the required average speed of the ball is given as 10.9 meters per second.
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what is 2+2 4+4 8+8 i need math help
Answer:
2+2 is 4 4+4 is 8 8+8 is 16
Step-by-step explanation:
if you need them added up here: 4+8 =12 12+16 = 28
help please school starts in 10 mins i didn’t get my homework done
Answer:
A
Step-by-step explanation:
Trust me it's correct.
You are solving for the system of equations.
1,3,6,10,15,21,28 as a function
It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:
f(n) = n*(n+1)/2
Where n is the position of the number in the sequence.
So, for example:
f(1) = 1*(1+1)/2 = 1
f(2) = 2*(2+1)/2 = 3
f(3) = 3*(3+1)/2 = 6
and so on.