Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $3000,
annual interest: 7%,
interest periods: 6 ,
number of years: 20
Answers
Answer:
Can you please describe the problem more detailed pls?
9514 1404 393
Answer:
compounding 6 times per year earns $458.36 more interest over 20 years
Step-by-step explanation:
We can compute the value of the investment for the different compounding schemes. The applicable formula is ...
A = P(1 +r/n)^(nt)
where P is the principal, r is the annual rate, n is the number of interest periods per year, and t is the number of years.
Compounded 6 times per year:
A = $3000(1 +.07/6)^(6·20) ≈ $12,067.41
Compounded 1 time per year:
A = $3000(1.07)^20 ≈ $11,609.05
Related Questions
HELPPPPPPPPPPPPP!!!!! LOOK AT THE PHOTO
Answers
Answer:
1. -3
2. 3
3. 45
4. -45
5. negative
6. positive
7. distance
8. Number line
9. +
10. 79
11. -79
12. 9
Answer:
Number 1 is -3
Number 2 is 3
Number 3 is 45
Number 4 is -45
Number 5 is negative
Number 6 is positive
Number 7 is distance
Number 8 is number line
Number 9 is +
Number 10 is 79
Number 11 is -79
Number 12 is 9
Step-by-step explanation:
Type a digit that makes this statement true.
153,80(number here) is divisible by 5.
Answers
Answer:
5Hope it helps!
Step-by-step explanation:
153805 is divisible by 5
I hope this help!
If the temperature increases by 5°C every 3 minutes, how long will it take for
the temperature to reach 48°C?
Please answer with a solution.
Reporting if you don't answer it seriously.
Answers
Solution:
Since it increases 5 C every 3 minutes you can divide 48/5 and then multiply it by 3 to get 28.8.
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
Please show your work
Answers
Answer:
W = 8.2 cm
Step-by-step explanation:
The perimeter formula is P = 2W + 2L and here the perimeter is 65.6 cm.
Thus, 65.6 cm = 2W + 2L. Substituting 3W for L, we get
65.6 cm = 2W + 2(3W) = 8W.
Solving for W by dividing both sides by 8, we get W = 65.6 cm / 8, or
W = 8.2 cm
Marcus needs 12 cups of edible flowers to make the breakfast mixture to feed the zoo's emperor tamarin monkey troop for the week. The number of cups of edible flowers the zoo has in storage is represented by the expression 1.875c−(c+0.5d). If c=25 and d=20, does Marcus have enough edible flowers to make the breakfast mixture for the emperor tamarin monkeys?
No, because 1.875(25)-((25)+0.5(20))=11.875, which is less than 12.
No, because 1.875(25)−((25)+0.5(25))=9.375, which is less than 12.
No, because 1.875(20)−((25)+0.5(20))=2.5, which is less than 12.
No, because 1.875(20)−((20)+0.5(25))=5, which is less than 12.
Answers
Answer:
No, because 1.875(25)-((25)+0.5(20))=11.875, which is less than 12.
Step-by-step explanation:
c = 25 d = 20
1.875(25) - (25+0.5*20) =
46.875 - 35 =
11.875
Please Answer
Eriko cuts out a paper quadrilateral with two angles that each measure 60° and two angles that each measure 120°. Only two of the sides have a length of 3.2 inches.
Select all of the possible quadrilaterals that Eriko could have made.
A.parallelogram
B.rectangle
C.rhombus
D.square
E.trapezoid
Answers
HELP ME PLEASE,
will mark brainliest
What is (x2 + 6x - 3) + (2x - 10)
a
x^2 + 5x - 10
b
x^2 + 8x - 13
c
x^2 + 8x + 7
d
x^2 + 5x + 10
Answers
Answer:
b.
\(( {x}^{2} + 6x - 3) + (2x - 10) \\ {x}^{2} + 8x - 13\)
Answer:
How to solve your problem
(2+6−3)+(2−10)
(x2+6x−3)+(2x−10)(x^{2}+6x-3)+(2x-10)(x2+6x−3)+(2x−10)
Simplify
1
Eliminate redundant parentheses
(2+6−3)+(2−10)
(x2+6x−3)+(2x−10)(x^{2}+6x-3)+(2x-10)(x2+6x−3)+(2x−10)
2+6−3+2−10
x2+6x−3+2x−10x^{2}+6x-3+2x-10x2+6x−3+2x−10
2
Subtract the numbers
2+6−3+2−10
x2+6x−3+2x−10x^{2}+6x{\color{#c92786}{-3}}+2x{\color{#c92786}{-10}}x2+6x−3+2x−10
2+6−13+2
x2+6x−13+2xx^{2}+6x{\color{#c92786}{-13}}+2xx2+6x−13+2x
3
Combine like terms
2+6−13+2
x2+6x−13+2xx^{2}+{\color{#c92786}{6x}}-13+{\color{#c92786}{2x}}x2+6x−13+2x
2+8−13
x2+8x−13x^{2}+{\color{#c92786}{8x}}-13x2+8x−13
Solution
2+8−13
Step-by-step explanation:
can anyone help answer this question?
it's shown on the picture below. :)
Answers
Answer:
The correct graph is A.
Step-by-step explanation:
-4x/5-13/5 ≥ -9
Multiply the entire equation by 5:
-4x-13 ≥ -45
Moving the -4x:
-13 ≥ -45+4x
Moving the -45:
32 ≥ 4x or 4x ≤ 32
So:
x ≤ 8
The correct graph is A.
The answer would be graph A that describes the solution set.
PLEASE HELP ME WITH MY MATH WORK
Answers
Answer:
1: vertical
2: adjacent
3: complementary
4: x + 78 = 180 - x = 102
5: 2x + 24 = 90 - 2x = 66 - x = 33
hope this help man :)
Step-by-step explanation:
Victor walks down Northern Boulevard to get to school every day. In the morning, he stops at Dunkin Donuts to get a hot drink. The map of his route, shown below, has a scale of 1 inch to 240 feet. Victor also plans to stop at the deli to pick up some lunch. What is the actual distance, in miles, between Dunkin Donuts and the deli? (1 mile = 5,280 feet)
Answers
Answer:
5040
Step-by-step explanation:
pls help this is due in like 15 minutes
Answers
M1=(F r^2) / (G M2)
STEP BY STEP EXPLAINATION:
F=G M1 M2 /r2
F r^2 =G M1 M2
F r^2 = G M2= M1
Hope this help :)
I need help with this question, I'm not very good at math and all help is appreciated!
Answers
Answer:
A
Step-by-step explanation:
We can solve for H by isolating it on one side of the equation, as follows:
J/H - I/H = G
Taking H as the common denominator:
(J - I)/H = G
Multiplying both sides by H:
J - I = GH
Adding I to both sides:
J = GH + I
Dividing both sides by G:
H = (J - I)/G
So the answer is
(A)
H = (J - I)/G.
Answer: A
Step-by-step explanation:
\(\frac{J}{H} = G + \frac{I}{H}\) >Since you are solving for H bring I/H to the other side
by subtracting I/H from both sides
\(\frac{J}{H}- \frac{I}{H} = G\) >There is a common denominator so you can
combine the fractions
\(\frac{J-I}{H} = G\) >Multiply both sides by H or cross multiply whichever
way your mind things about how to get H on top
\(J-I = G(H)\) >Divide both sides by G
\(\frac{J-I}{G} = H\) >Answer is A
PLSSSSS HELP ME, I WILL GIVE BRAINLIEST!!!
Answers
Answer:
Step-by-step explanation: The answer would be
10
The common factor of x^2y^4 and x^3 is x^2
So the common monomial factor is 3x^2
You can rewrite as. 3x^2(5y^4 + 9x)
Please help with the following questions!
Answers
Answer:
7.) y= 4x - 5
8.) y= -4/3x + 1
9.) y= -1x + 3 or y= -x + 3
10.) y= 5/4 + 0 but it can also be written as y=5/4
11.) y= -2x - 10
12.) y= 1.5x + 1.5
Step-by-step explanation:
slope-intercept is written as y=mx+b
m is our slope and b is our y-intercept
8 is -4/3+1
…………………
Please Help ASAP!!!
What is the correct expanded form and value of (One-fifth) Superscript 4?
One-fifth + one-fifth + one-fifth + one-fifth = StartFraction 4 Over 5 EndFraction
One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction
StartFraction 1 + 1 + 1 + 1 Over 5 times 4 EndFraction = StartFraction 4 Over 20 EndFraction
One-fifth times 4 = StartFraction 4 Over 5 EndFraction
Answers
Answer:
One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction
Step-by-step explanation:
1/5^4 = 1/5 * 1/5 * 1/5 *1/5 = 1/625
The expanded form of (One-fifth)⁴ is "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction," and its value is "StartFraction 1 Over 625 EndFraction."
The expanded form of (One-fifth)⁴ can be derived by multiplying (1/5) four times. Each multiplication represents multiplying by one-fifth, resulting in "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction." This can be further simplified as "StartFraction 1 Over 625 EndFraction" by multiplying the numerators and the denominators separately.
In mathematical terms, when we raise one-fifth to the power of 4, we are essentially multiplying one-fifth by itself four times. Thus, (One-fifth)⁴ is equal to "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction."
Evaluating this expression yields the value "StartFraction 1 Over 625 EndFraction" since multiplying the numerators (1 * 1 * 1 * 1) and the denominators (5 * 5 * 5 * 5) results in 1 and 625, respectively.
Mathematical representation: \(\frac{1}{5}^4= \frac{1}{5} * \frac{1}{5} * \frac{1}{5} * \frac{1}{5}\)
To learn more about expanded form,
https://brainly.com/question/102887
You borrow $10,000 to buy a car. The simple interest rate is 3%. You pay the loan off after 6 years. What is the total amount you paid for the loan?
Answers
Answer:
The total amount of money needed to pay off the car after 6 years would be $11,800.
Step-by-step explanation:
Write down the facts:
The car costs $10,000The interest rate is 3%And you finished paying the loan off after 6 yearsInterest = $10,000 * 0.03 * 6
This being $10,000, 3% interest rate and over 6 years.
Interest= $1800
This amount we found is the additional amount (interest) you have to pay with the $10,000. Now, to find the total amound we add the interest and $10,000.
Total amount = 10,000 + $1800
Total amount = $11,800
Therefore the total amount paid over 6 years (including the 3% interest rate) would be $11,800. I hope this helped!!!
$11800 is the answer
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
PLEASE HELP ME I HAVE TO SUBMIT MY FINAL SOON
Selena rewrote the expression 4(5m + 12s) using the distributive property. What expression did Selena create?
Answers
4•5m + 4•12s
20m + 48s
Please help me with this question..
Answers
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Does anyone have the answer key to "Understand Systems of Linear Equations I-ready level H instruction?"
Answers
Answer:
no bro, sorry. even though I needed to I don't have it
How many cubic centimeters of air would be needed to completely fill a tennis ball with a diameter of 3 inches? Use 3.14 for \piπ. Round your answer to the nearest whole number.
please no links.
Answers
find the nth term
16,25,36,49
Answers
So studying the sequence you could see that 4multiplying itself gives 16 and 5 by itself 25 , 6 by itself 36 , 7by itself 49 so by all means the next will be 8 by itself which is 64
Answer:
Hello,
Step-by-step explanation:
16=(1+3)²
25=(2+3)²
36=(3+3)²
49=(4+3)²
\(u_n=(n+3)^2\\\)
A weatherman predicted 17 inches of snow. The town actually got 1 and 1/2 feet of snow. By what percent was the weatherman’s prediction off?
Answers
Answer:
1 1/2 feet of snow= 18 inches
17/18 is around .94 so there’s .06 that the weatherman was off on.
.06 = 6%
Step-by-step explanation:
HELP PLEASE I REALLY NEED HELP
Answers
First step is take it out of fractions and into decimals, they are easier to work with.
(0.5x1.125)x(2.66x3.33)x7.5
Then PEMDAS
Parentheses
0.625x-0.66x7.5
Then multiply
-0.41625x7.5
Answer
-3.121875
Find the values of x and y.
Answers
X=6
3y-8=y+5
Y=13/2
A hectare is 10,000m².
A three hectare block is divided into two equal sized fields. One of the fields is then dived into 10 equal sized blocks.
What's the size of each block?
Answers
Can you do this please?
Answers
Answer: 1/6
Step-by-step explanation:
First, you have a 1/3 chance of picking 1. Second, you have only 2 and 3 left, which means you have a 1/2 chance of picking a number less than 3. Since you have to multiply these two probabilities, and 1/3x1/2=1/6, the answer is 1/6. Hope this helps!