Answer: Her ending balance is $26,703.837 and her interest is $4,353.837
Step-by-step explanation:
First year,
p =22350 R = 4.55 T = 1
Interest = PRT/100
= 22350 × 4.55 × 1 / 100
=$1016.925
P = $22350 + $1016.925 = $23366.925
For the 2nd year,
I = $23366.925 × 4.55 × 1 / 100
=$1063.195
p= $23366.925 + $1063.195 = $24,430.12
For the 3rd year,
I = $24,430.12 × 4.55 × 1 / 100
= $1111.57
p = $24,430.12 + $1111.57 = $25,541.68
For the 4th year;
I = $25541.68 × 4.55 × 1 / 100
= $1,162.147
P = $ 25541.69 + $1,162.147 = $26,703.837
Therefore th ending balance is $26,703.837
Her compound interest is , $26,703.837 - $22350 =$4,353.837
(tech question)
which option will allow a user to select multiple items at random, rather than all in order?
A - Hold Ctrl + right + click
B - Triple-click
C - Double-click
D- Hold Ctrl + click
In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.03 margin of error and use a confidence level of 95%. Complete parts (a) through (c) below.
A.) Assume that nothing is known about the percentage to be estimated.
n=
B.)Assume prior studies have shown that about 55%
of full-time students earn bachelor's degrees in four years or less.
n=
c. Does the added knowledge in part (b) have much of an effect on the sample size?
The required sample size is [tex]1,068[/tex]
A) Significance Level, [tex]\alpha = 0.05[/tex], Margin of Error,[tex]E=0.03[/tex]
The provided estimate of proportion p is, [tex]p=0.5[/tex]
The critical value for significance level, [tex]\alpha = 0.05[/tex] is [tex]1.96[/tex].
The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:
[tex]n>=p(1-p)\dfrac{Z_c}{E^2}^{2}[/tex]
Put Values , we get
[tex]n=0.5(1-0.5)\dfrac{1.96}{0.03^2}^{2}\\\\n=0.5(0.5)(65.33)^2\\\\n=0.25(4,268)[/tex]
[tex]n=1067.11[/tex]
Therefore, the sample size needed to satisfy the condition [tex]n>=1067.11[/tex] and it must be an integer number, we conclude that the minimum required sample size is [tex]n=1068[/tex]
Sample size, [tex]1068[/tex]
B) Significance Level, [tex]\alpha = 0.05[/tex], Margin of Error,[tex]E=0.03[/tex]
The provided estimate of proportion p is, [tex]p=0.55[/tex]
The critical value for significance level, [tex]\alpha = 0.05[/tex] is [tex]1.96[/tex].
The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:
[tex]n>=p(1-p)\dfrac{Z_c}{E^2}^{2}[/tex]
Put Values , we get
[tex]n=0.55(1-0.55)\dfrac{1.96}{0.03^2}^{2}\\\\n=0.55(0.45)(65.33)^2\\\\n=0.2475(4,268)[/tex]
[tex]n=1056.44[/tex]
Therefore, the sample size needed to satisfy the condition [tex]n>=1056.44[/tex] and it must be an integer number, we conclude that the minimum required sample size is [tex]n=1057[/tex]
Sample size, [tex]1057[/tex]
C)The difference between both the part a and b is very less so added knowledge of the extra information does not have much effect on sample size.
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Diep is saving money so he can buy a used car in 12 months. The total cost of the car he wants is $1,450. Diep determines that he needs to save $120 each month to be able to afford the car, as shown below.
mc024-1.jpg
What error did Diep make?
There is a subtraction error. Diep will need to save less than $120 each month.
There is a subtraction error. Diep will need to save exactly $121 each month.
There is a multiplication error. Diep needs to save exactly $120.83 each month.
There is a multiplication error. Diep needs to save an average of mc024-2.jpg each month. Some months he needs to save $120.83 and other months he needs to save $120.84.
Answer:
The answer is D. There is a multiplication error. Diep needs to save an average of $120.833... each month. Some months he needs to save $120.83 and other months he needs to save $120.84
Step-by-step explanation:
What is the distance between points (5, 5) and (1, 5) on a coordinate plane
35 birds to 45 birds?
How do u solve this?
what is the value of y?
Circle the correct answers. y + 3.5 = 18 y = 14.5 y = 15.5
i will fail please help help !!!!! what is the greatest common factor of 1260 , 36 and 18
A flower bed has the shape of a rectangle 21 feet long and 9 feet wide. What is its area in square yards?
Answer:
21 square yards
Step-by-step explanation:
Let's remember that the formula of the area of a rectangle is A = L*W, where L is the length and W the width.
In this case, L = 21 feet and W = 9 feet.
Therefore, A = 21 feet * 9 feet = 189 square feet
We need the answer in square yards. We know that 1 feet equals 1/3 yard (1 feet = 1/3 yard)
As we need square yards, we just square the equation above.
1^2 square feet = (1/3) ^2 square yards
1 square feet = 1/9 square yards
The area is 189 square feet, so we just multiply by 189 on both sides to do the conversion to square yards.
189 square feet = 189*1/9 square yards
189 square feet = 21 square yards
The area of the flower bed is 21 square yards
PLZ help its an easy question
Answer:
The correct answer is B).
Step-by-step explanation:
Confirming the answer above, which is correct! Happy to help! c:
Solve 8x + 12 = 5x – 6. Show each step of your work.
Two points on a line are (3,8) and (-3,2). What is the slope of the line
The slope of the line passing through the points (3,8) and (-3,2) is 1
The slope of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
where m represents the slope
For the line passing through the points (3,8) and (-3,2).
x₁ = 3, y₁ = 8, x₂ = -3, y₂ = 2
Substitute x₁ = 3, y₁ = 8, x₂ = -3, y₂ = 2 into the slope formula above
[tex]m = \frac{2-8}{-3-3}\\\\m = \frac{-6}{-6} \\\\m = 1[/tex]
Therefore, the slope of the line passing through the points (3,8) and (-3,2) is 1
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Decorations for school dances take 1/5 of the student council's budget. Entertainment takes 3/10 of the budget. What fraction of the budget is left?
PLEASE INCLUDE STEPS!!!!!
Why is indirect compensation important to recruiting and retaining employees? (site 1)
Indirect compensations may encompass sales commisons, health, transport, accommodation allowances and so on which aren't included as part of their base salary.
Indirect compensations go a long way assisting employees in different aspects of their personal lives which may not be directly related to work.
A good indirect compensation which caters for transport, housing and medical expenditures seems way more beneficial than a huge base salary without allowances.
Also, indirect allowances such as commission encourages employees to put more effort into sales and marketing since it is based on percentage. Hence, the more they input, the more their earning.
Therefore, indirect allowances are of considerable benefit which is highly considered when choosing an employer.
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Each stone in ally’s collection weighs about 4 ounces her collection weighs about 24 pounds in all about how many stones are in ally’s collection
The total number of stones in Ally's collection is A = 96
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the weight of the stone be = 4 ounces
And , let the weight of the collection be = 24 pounds
From the unit conversion , we get
1 pound = 16 ounces
So , 24 pounds = 16 x 24 = 384 ounces
And , the number of stones A = 384 ounces / weight of the stone
On simplifying , we get
The number of stones A = 384 / 4 = 96 stones
Hence , the number of stones is 96
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use division to find all the whole number ratios equivalent to 56 :24.
a minor league baseball team plays 114 games in a season. if the team won 14 more than three times as many games as they lost, how many wins and losses did the team have?
To solve this problem, we can set up an equation. Let L be the number of games lost by the team. We are told that the team won 14 more than three times the number of games they lost, so the number of games won is 3L + 14. The team lost 25 games and won 89 games.
Explanation:To solve this problem, we can set up an equation. Let L be the number of games lost by the team. We are told that the team won 14 more than three times the number of games they lost, so the number of games won is 3L + 14.
The total number of games played is the sum of the games won and the games lost, which is 114. So we have the equation:
(3L + 14) + L = 114
Simplifying the equation, we get:
4L + 14 = 114
Subtracting 14 from both sides, we have:
4L = 100
Dividing both sides by 4, we find that L = 25.
Therefore, the team lost 25 games. To find the number of wins, we can substitute the value of L into the equation we set up earlier:
3L + 14 = 3(25) + 14 = 75 + 14 = 89.
So the team had 89 wins and 25 losses.
June bought 3 1/2 gallons of white paint at $17.50 per gallon and 1 3/4 gallons of blue paint at $19.00 per gallon.
What was her total cost?
San Francisco has a recycling facility that accepts unused paint. Volunteers blend and mix the paint and give it away in 5-liter buckets. Write and solve an equation to find the number of buckets of paint given away from 30,000 liters that are donated.
Steve uses an app that shows him how many kilometers he has run to prepare for a marathon. The app said he ran 6.436 kilometers. He wants to post online how many miles he ran. Steve ran ___ miles. (1 mile = 1.609 kilometers)
I think its seven good luck.
A three pack of bar soap has a wholesale cost of $1.15. A pharmacy wants to sell this product with a markup of 60%. What are the amounts of the markup and the retail price of a pack of soap?
what is the difference between earth's highest mountain and its deepest ocean canyon? what is the difference between mars's highest mountain and its deepest canyon? which difference is greater? how much greater is it?
Translate the following sentence into Math symbols, then solve the problem
y more than 4 is -36
Identify the property used in the first five steps to solve the equation 2(x – 5) - 6x= -22
The sum of the digits of a two-digit number is 6. If the digits are reversed, the difference between the new number and the original number is 18. Find the original number
Which number can be classified as a terminating decimal number?
A. 0.3214…
B. 0.25313 continuous
C. 0.125739
D. none of the above
Melinda ate breakfast and wanted to leave her waitress a 20% tip her meal cost $7.50 How much money should Melinda leave for the tip
From the set {70, 20, 15}, use substitution to determine which value of x makes the equation true.
5x = 75
help please god bless
Ken wants to rent a car for a week and pay no more than $130. How far can he drive if the car rental costs $94 a week plus $0.40 a mile?
What value does the 3 represent in the number 23,780,641