determine the amount of an investment if $400 is invested at an annual interest rate of 7.25% for 7 years. round to the nearest penny.

Answers

Answer 1

Equation for one year:
0.0725(400)
But we have 7 years:
7(0.0725(400))
Multiply in the parentheses
7(29) = 203
400 + 203 = 603
You now have $603, and made $203

Related Questions

triangle ABC is similar to Triangle XYZ. AB=5x+25, BC=7x+44, YZ=29, XZ=45, XY=14 Find x

Answers

Answer: The fraction -109/47 (see note below)

============================================================

Explanation:

Triangle ABC is similar to Triangle XYZ. This means that
AB/BC = XY/YZ
is one proportion we can form

Plug in the given expressions and then isolate x
AB/BC = XY/YZ
(5x+25)/(7x+44) = 14/29
29(5x+25) = 14(7x+44)
29(5x)+29(25) = 14(7x)+14(44)
145x+725 = 98x+616
145x-98x = 616-725
47x = -109
x = -109/47

note: its possible your teacher made a typo since we got a negative fraction here. I would ask your teacher to double check.

Will constructed a figure on a graph using coordinates: M(2,3),N (8,3),AND
(5,2)
How long is the line segment M N in Will's graph?

Answers

When graphed it makes a straight line with the length of 6 units.

Need help on this as soon as possible!

Answers

Volume of the prism: V= Ab*h
Area of the base of the prism: Ab=Area of the equilateral triangle
Height of the prism: h=6

Ab=A triangle= sqrt(3)/4*s^2
Ab=sqrt(3)/4*3^2
Ab=sqrt(3)/4*9
Ab=9 sqrt(3)/4

V=Ab*h
V=[9 sqrt(3)/4](6)
V=54 sqrt(3) /4
V=27 sqrt(3) / 2
V=27/2 sqrt(3)

Consumer reports stated that the sodium content, in milligrams, for a two tablespoon serving for 10 different brands is as follows: 120, 50, 120, 140, 150, 150, 110, 249, 171, 60 What is the mean of the data set? Type a numerical answer in the box. a0

Answers

To find the mean (fair share/average) of the data set, you will combine all the numbers (add) and then split them into the same number of groups you started with (divide by 10).

1320/10 = 132

The mean is 132.

HELP ASAP PLEASE!1!! Determine the factors of a2b + 2a2 + 3b + 6. (b + 3)(a2 + 2) (b + 2)(a2 + 3) (ab + 2)(a + 3) (ab + 3)(a + 2)

Answers

The answer is (b+2)(a²+3).
Hope this helps!

Answer:

B. (b + 2)(a2 + 3)

Step-by-step explanation:

Danielle ran 3 1/8 miles on Tuesday and 4 and 1/2 miles on Wednesday and 5 1/4 miles on Thursday how far did Danielle run all together this

Answers

well you would figure out a common denominator for all fractions.

3 1/8

4 1/2

5 1/4

the common denominator would be 8. so multiply all the fractions by the number that would give you 8 on the bottom of the fraction

1/8 x 1 = 1/8

1/2 x 4 = 4/8

1/4 x 2 = 2/8

now you would set up your problem

3 1/8 + 4 4/8 + 5 2/8

first add the fractions

1/8 + 4/8 + 2/8 = 7/8

then add the whole numbers

3 + 4 + 5 = 12

now put the number and fractions together and you have your answer

12 and 7/8

convert the following complex number into its polar representation 2+2i

Answers

To write 2+2i into polar form we proceed as follows:
2+2i
simplifying the above we get
2(1+i)
dividing through above through by √2
=2*√2(1/√2+i/√2)
but
1/√2=cos (π/4)=sin (π/4)
thus our expression will be:
=2√2(cos (π/4)+isin (π/4))

Answer:

[tex]z=2\sqrt{2}(cos{\frac{\pi}{4}}+isin{\frac{\pi}{4}})[/tex]

Step-by-step explanation:

The given complex number is:

[tex]2+2i[/tex]

Now, the polar from of the complex number [tex]z=a+ib[/tex] is [tex]z=r(cos{\theta}+isin{\theta})[/tex].

Finding the absolute value of r:

[tex]r=|z|={\sqrt{2^2+2^2}[/tex]

[tex]r=\sqrt8[/tex]

[tex]r=2\sqrt{2}[/tex]

Now, find the value of argument,

Using formula, [tex]{\theta}=tan^{-1}(\frac{b}{a})[/tex]

[tex]{\theta}=tan^{-1}({\frac{2}{2})[/tex]

[tex]{\theta}=tan^{-1}(1)[/tex]

[tex]{\theta}={\frac{\pi}{4}}[/tex]

Thus, the polar form is:

[tex]z=2\sqrt{2}(cos{\frac{\pi}{4}}+isin{\frac{\pi}{4}})[/tex]

which is the required polar form.

Michael, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Michael also gives a 5% discount if the entire amount is paid up front. A 2 column table with Type of Editing and Cost per page as the column headings. Express Proofreading costs 2.20 dollars, Basic Proofreading 2.80 dollars, Extended Proofreading 3.90 dollars, and Deep Editing 12 dollars Maria has a 25-page manuscript. The equation below shows the relationship between the total cost of editing 25 pages, T, and the cost per page, c, if she gets the 5% discount: 25c − 0.05(25c) = T Using the equation, what is the best quality of editing that Maria can get done for a maximum of $66.50?

Answers

Using the equation, the cost per page Maria can afford is
25c -.05(25c) = 66.50
0.95*25*c = 66.50
c = 66.50/(0.95*25) = 2.80

The best quality of editing that Maria can afford is ...
Basic Proofreading

Find 2 positive real numbers that differ by 1 and have a product of 1

Answers

A) x -y =1
B) x * y =1
B) y = 1/x

A) x -(1/x) = 1
Multiplying both sides by "x"
A) x^2 -1 = x
A) x^2 -x -1 = 0

Solving by the quadratic formula
x = 1.618 and
y = .618

Interestingly, the number 1.6180339... is called the "phi ratio" or the "golden ratio".
https://en.wikipedia.org/wiki/Golden_ratio

Predict the vital capacity of a 20-year-old 5'5" female who weighs 120 pounds using the equation below: vc = (0.041) h - (0.018) a - 2.69

Answers

Final answer:

The predicted vital capacity of a 20-year-old, 5'5" female, using the provided equation, is approximately 3.97 liters.

Explanation:

To predict the vital capacity of this 20-year-old 5'5" female who weighs 120 pounds using the given equation, we first need to convert the height from feet to centimeters since standard medical measurements are usually in metric units. The conversion is 1 foot = 30.48 cm. Therefore, 5'5" = 5*30.48 cm + 5*2.54 cm = 165.1 cm. Now we can substitute the height (h) and age (a) into the equation: vc = (0.041) h - (0.018) a - 2.69 = (0.041*165.1) - (0.018*20) - 2.69 ≈ 3.97 Liters. Therefore, the predicted vital capacity of this 20-year-old 5'5" female is approximately 3.97 liters.

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Which property is used in the problem below?

2(x+4)=2x+8

the associative property

the commutative property

the distributive property

the additive identity property

Answers

This is the distributive property.

the answer is The distributive property hoped I helped

i need help so bad asap

Answers

2x+3=3y+1

Substitute x=2 and y=2
2•2+3=3•2+1 ✔️

Substitute x=4 and y=4
11=13 ❌

Substitute x=3 and y= 3
9=10 ❌

Substitute x=5 and y= 5
13=16 ❌

Bruno is designing his next skateboard. the skateboard store has 333 types of grip tape, 131313 types of decks, 777 types of trucks, 4 types of bearings, and 2 types of wheels. how many different skateboards can bruno create

Answers

Did u make this up? Because there are would be loads

Answer:

2184 is what i got.

Step-by-step explanation:

Please help !!

Question posted below

Answers

4 (6) - 3 (4)
24 - 12 = 12

To find the length ab of a small lake, a surrounding veyor measured angle acb to 96, ac to be 91 yards, and bc to be 71 yards. what is the approximate length of the lake?

Answers

Using the law of Cosins that states: For any triangle, a, b and c are sides and C is the angle opposite side c
c² = a² + b² − 2ab cos(C)

Applying this in our problem, we get:
AB²= 71²+91²- 2x91x71 cos96
AB²=14627.7 yard²
AB=121 yard

Which box plot represents the data?
30, 35, 25, 5, 5, 25, 40, 45, 50, 10, 15, 40

Answers

It's the first box plot

Final answer:

The box plot representing the data set 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50 will have the values at 5 (minimum), 12.5 (Q1 - 25th percentile), 25 (median), 37.5 (Q3 - 75th percentile), and 50 (maximum). The data is arranged in ascending order, divided into quartiles, and the median of each quartile is found.

Explanation:

To determine which box plot represents the data, we need to obtain the five-number summary of the data which includes the minimum, Q1 (25th percentile), median (Q2 - 50th percentile), Q3 (75th percentile), and the maximum.

Arrange the data in ascending order: 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50Determine the minimum and maximum: Minimum is 5, Maximum is 50 Find the median (Q2): With 12 numbers, the median is the average of the 6th and 7th value, so (25+25)/2 = 25 Q1 is the median of the lower half of data (not including Q2): The median of 5, 5, 10, 15, 25, 25 is (10+15)/2 = 12.5 Q3 is the median of the upper half of data (not including Q2): The median of 30, 35, 40, 40, 45, 50 is (35+40)/2 = 37.5

Therefore, the box plot that represents this data will have values at 5 (minimum), 12.5 (Q1), 25 (median), 37.5 (Q3), and 50 (maximum).

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The perimeter of a rectangle is 68cm the length is 4cm less than three time its width write a system of equation to find the dimension of the rectangle

Answers

Check photo for details

Which number is irrational A)25.23 B) 8 C)square root of 48

Answers

Ans:- √48

Reason:

=> √48 = √(2×2×2×2×3) = 4√3

As, we know√3 is irrational therefore √48 is also irrational no.

Hope this helps!

Hello there, and thank you for posting your question here on brainly.

Short answer: C.

Why?

When a number is irrational, that means it goes on forever. It can't be A, because we know the end is .23. It can't be B because that is just a whole number. The only one that would make sense is answer choice C. √48.

Hope this helped you! ♥

Broderick answered 21 of the 25 questions on his history test correctly. What decimal represents the fraction of problems he answered incorrectly?

Answers

THE ANSWER IS 0.84 I just multiplied 25 and 21 by four to get 84 over 100 to easily convert to a decimal.
84 hundredths

2/3 (a-b) =c, solve for a

Answers

[tex]\dfrac{2}{3}(a-b)=c\ \ \ \ |\cdot3\\\\2(a-b)=3c\\\\2a-2b=3c\ \ \ \ |+2b\\\\2a=3c+2b\ \ \ \ |:2\\\\\boxed{a=\dfrac{3c+2b}{2}}[/tex]

If a population has a birth rate of 40 individuals per 1,000 per year and a death rate of 30 individuals per 1,000 per year, how will the population change each year

Answers

It will increase by 10 individuals per 100 per year

How much greater is the median number of pairs of shoes in the inventory at the Golf pro Shop than the median number of pairs of shoes in the inventory at the Tennis Pro Shop?

Answers

Answer: 20

To get this answer, you find the median of the golf pro shop data (a = 40) and the median of the tennis pro shop data (b = 20). Then you subtract to get a-b = 40-20 = 20. The median of any box plot is the vertical line inside the box plot.

Answer:

Step-by-step explanation:

The volume of a cylinder is 1323pi cmcubed. The radius of the base of the cylinder is 7 cm. What is the height of the cylinder? The height of the cylinder is nothing cm. (Simplify your answer.)

Answers

V of cylinder = πr²h
h=V /(πr²)
h=27/π -exact value
h=1323/(3.14*(7)²)= 8.6 cm - approximate value

The height of the cylinder with a given volume of 1323
cmcubed and a radius of 7 cm, divide the volume by the area of the base. The correct height is 27 cm.

The height of a cylinder given its volume and the radius of its base. To find the height, we'll use the formula for the volume of a cylinder, which is V = ()h, where V is the volume, is the radius and h is the height.

Step-by-step calculation:

The volume of the cylinder is given as 1323cmcubed.

The radius (r) of the base of the cylinder is given as 7 cm.

Plugging these values into the formula: 1323cm³= (7 cm)² imes h.

Simplify the equation: 1323cm³ = 49cm² imes h.

Divide both sides by 49cm² to find the height: h = 1323cm³ / 49cm².

The resulting height is therefore 27 cm, which is the solution to the problem.

The height of the cylinder is 27 cm.

help a brother out lol

Answers

We know that [tex]f(x)=3x+1[/tex] and [tex]g(x)=x^2-6[/tex]; to find [tex]( \frac{g}{f} )(x)[/tex] we are going to divide [tex]g(x)[/tex] by [tex]f(x)[/tex]:
[tex]( \frac{g}{f} )(x)= \frac{x^2-6}{3x+1} [/tex]
Since the denoinatorcan't be zero:
[tex]3x+1 \neq 0[/tex]
[tex]x \neq - \frac{1}{3} [/tex]

We can conclude that the correct answer is A. [tex]\frac{x^2-6}{3x+1} [/tex] [tex]x \neq - \frac{1}{3}[/tex]

A wise man once said, "500 reduced by 3 times my age is 200." What is his age?

Answers

The answer is: " 100 " .
_________________________________________________________

Explanation:
_________________________________________________________

Let "x" represent the numerical value of [the man's age].

500 - 3x = 200 ; Solve for "x" ;

Subtract "500" from each side of the equation:

500 - 3x - 500 = 200 - 500 ;

to get:

- 3x = -300 ;

Now, divide each side of the equation by "-3" ; to isolate "x" on one side of the equation; & to solve for "x" ;

- 3x / -3 = -300 / -3 ;

x = 100 .
_______________________________________________________
The answer is: " 100 " .
_______________________________________________________

Coach miller bought 5.15 pounds of ground beef to make burgers The cost of ground beef is $3.40 for each pound.What was the total cost for all of the ground beef?

Answers

The total cost of all the ground beef is $17.51.

Final answer:

The total cost of the ground beef bought by Coach Miller is calculated by multiplying the quantity (5.15 pounds) by the price per pound ($3.40). The total cost comes to $17.51.

Explanation:

The subject of the question is a practical application of multiplication in Mathematics. Coach Miller bought 5.15 pounds of ground beef at a rate of $3.40 per pound. To calculate the total cost, you simply need to multiply the quantity (5.15 lbs) by the price per unit ($3.40/lb).

So the calculation will be: 5.15 (pounds) × $3.40 (cost per pound) = $17.51 So, the total cost for all of the ground beef would be $17.51.

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What is the second term in the binomial expansion of (2r – 3s)12? –73,728r11s 73,728r11s 608,256r10s2 –608,256r10s2?

Answers

It is A, my friend. I have taken the test and got it right ;)

Solution:

A is the correct option.

Explanation:

We have been given that [tex](2r - 3s)^{12}[/tex]

The [tex]r^{th}[/tex] term of a binomial expansion [tex](a+b)^n[/tex] is given by

[tex]t_r=^{n}C_{r-1}a^{n-r+1}b^{r-1}[/tex]

For the given binomial expansion, we have

[tex]a=2r,b=-3s,r=2,n=12[/tex]

On plugging this value in the above formula, we have

[tex]t_2=^{12}C_{2-1}(2r)^{12-2+1}(-3s)^{2-1}\\\\t_2=^{12}C_1 (2r)^{11}(-3s)^{1}\\\\t_2=\frac{12!}{1!11!}(2)^{11}r^{11}(-3)s\\\\t_2=12\cdot (2)^{11}(-3)r^{11}s\\\\t_2=-73728r^{11}s[/tex]

Therefore, the second term is -73728r^11 s

A is the correct option.

If there is a very strong correlation between two variables, then the coefficient of correlation must be

Answers

Final answer:

If there is a very strong correlation between two variables, then the coefficient of correlation must be close to 1 or -1.

Explanation:

The correlation coefficient measures the strength and direction of the relationship between two variables. If there is a very strong correlation between two variables, then the coefficient of correlation must be close to 1 or -1. A correlation coefficient of 1 indicates a perfect positive correlation, meaning the variables increase and decrease together.

A correlation coefficient of -1 indicates a perfect negative correlation, where one variable increases while the other decreases.

Factor the trinomial below.
x2 – 14x + 45

A. (x – 3)(x + 15)
B. (x – 5)(x + 9)
C. (x – 5)(x – 9)
D. (x – 3)(x – 15)

Answers

Hi there!

The answer is C.
[tex] {x}^{2} - 14x + 45 = (x - 9)(x - 5)[/tex]

To find our answer we are looking for 2 integers. The sum of the integers must be -14 (since it must be equal to the number before the variable x). The product of both integers must be 45. Now we can conclude we are looking for the numbers -9 and -5.

[tex] - 9 + - 5 = - 9 - 5 = - 14 \\ - 9 \times - 5 = 45[/tex]

(Remember that multiplying 2 negatives makes you end up with a positive.)

~ Hope this helps you!

Which of the following equations could be used to solve the given equation?

9x + 26 + 7x - 17 = 2x + (-3x) + 5x

16x + 9 = 0
16x + 9 = 4x
16x + 11 = 4x

Answers

If we simplify like terms on left and right sides we gwt

16x + 9 = 4x

Its B

Answer: The correct option is (B) [tex]16x+9=4x.[/tex]

Step-by-step explanation: We are given to select the correct equation that could be used to solve the following equation :

[tex]9x+26+7x-17=2x+(-3x)+5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the correct equation, we need to simplify the given equation (i).

From equation (i), we get

[tex]9x+26+7x-17=2x+(-3x)+5x\\\\\Rightarrow (9+7)x+(26-17)=2x-3x+5x\\\\\Rightarrow 16x+9=(2-3+5)x\\\\\Rightarrow 16x+9=4x.[/tex]

Thus, the required equation is [tex]16x+9=4x.[/tex]

Option (B) is CORRECT.

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Should a balanced budget amendment be added to the Constitution requiring that Congress pass a balanced budget each year? Explain your answer. Eden has observed that some of his sheep are losing weight. He wants to increase their weight in order to gain more profit from their meat. Which feed additive should he use? concentrates antibiotics dry roughage silage 1.2.3.4. Gulf of Thailand 5.6.7.8.9. South China Sea10. Philippine Sea11.(please help me figure out the rest) In a family with 8 children, excluding multiple births, what is the probability of having 7 boys and 1 girl, in any order? assume that a boy is as likely as a girl at each birth Go to lesson page Problem If you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip? What incident almost brought the united states and japan to war in 1937? The list shows the scores made be each member of Jaime's discussion group on the last test. 69 79 62 93 73 81 73 78 Which box-and-whiskers plot correctly displays the information? fBox-and-whiskers plot G gBox-and-whiskers plot J hBox-and-whiskers plot F jBox-and-whiskers plot H 1.In an auditorium, there are 21 seats in the first row and 26 seats in the second row. The number of seats in a row continues to increase by 5 with each additional row. (a)Write an iterative (explicit) rule to model the sequence formed by the number of seats in each row. Show your work. (b)Use the rule to determine how many seats are in row 15. Show your work.2.Rhonda started a business. Her business made $40,000 in profits the first year. Her annual profits have increased by an average of 6% each year since then. (a)Write an iterative rule to model the sequence formed by the profits of Rhondas business each year.(b)Use the rule to determine what the annual profits of Rhondas business can be predicted to be 20 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end. Show your work.3.The sequence 3, 12, 48, 192, shows the number of pushups Kendall did each week, starting with her first week of exercising.(a)What is the recursive rule for the sequence?(b)What is the iterative rule for the sequence? Newly formed sperm cells pass through the seminiferous tubules to the What was kennedy's new frontier? how was that philosophy played out, both domestically and internationally, within the first few years of kennedy's administration? find the limit of (sqrt(x+5)-4)/(x-11) as x approaches 11 The combustion of wood or coal leads to which of these environmental issues? A)Radioactive waste B)large amounts of unused fuel C)Just the emission of methane gas D)large amounts of ash and greenhouse gases Aptitude tests are designed to measure one's _____. verbal abilities only potential for learning a skill or body of knowledge capacity for divergent thinking achievement in a particular subject The humber bridge in england has the world's longest single span, 1410 m . calculate the change in length of the steel deck of the span when the temperature increases from -3.0 c to 18.5 c. Bricklayers use the formula N = 7LH to estimate the number of bricks N needed to build a wall of height H and length L. What is the height of a wall that is 30 feet long and that requires 2,310 bricks to build? a. 12 ft c. 11 ft b. 10 ft d. 20 ft the housing crisis caused what Which of the following is not needed when making a box plot?A - MeanB - MinimumC - MedianD - Third Quartile How many carbon-carbon sigma bonds are present in each of the following molecules: benzene, cyclobutane? Sociologists argue that self-identities are now more multifaceted and less stable. which is not mentioned as a factor contributing to this change? True or false? solidarity means the world's richer nations must make a conscientious effort to promote development of the poorer ones.