The amount of money deposited into an account in a given year is multiplied by a growth factor of x = 1 + r. $800 is
deposited at the start of the first year; an additional $300 is deposited at the start of the next year, and $625 at the start of
the following year. Write an expression that represents the amount of money in the account at the end of the three years.

Answers

Answer 1

Answer:

800(1 + r)³ + 300(1 + r)² + 625(1 + r)

Step-by-step explanation:

At the beginning of the first year $800 is deposited.

At the end of the first year the amount of money in account = $800 × growth factor = 800(1 + r)

At the beginning of the second year, $300 is deposited, the money in account = 800(1 + r) + 300

At the end of the second year the amount of money in account is multiplied by growth factor. = [800(1 + r) + 300] × 1 + r = 800(1 + r)² + 300(1 + r)

At the beginning of the third year, $625 is deposited, the money in account = 800(1 + r)² + 300(1 + r) + 625

At the end of third year the money = [800(1 + r)² + 300(1 + r) + 625] × 1 + r = 800(1 + r)³ + 300(1 + r)² + 625(1 + r)


Related Questions

You paint 1/3 of a wall in 1/4 hour. At that rate, how long will it take you to paint one
wall?

Answers

Answer:

3/4 of an hour or 45 minutes

Step-by-step explanation:

1/3=1/4 hour

2/3=2/4 hour

3/3=3/4 hour

Assume the readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degress C. Find the probability that a randomly selected thermometer reads between -2.21 and -1.52 and draw a switch then find the probability.

Answers

The standard normal distribution has a cumulative distribution function (probability that the random variable, in this case the temperature, is less than a given number) well-known as erf, and the probability of [tex]T\in[-2.21,-1.52][/tex] is [tex]erf(-1.52)-erf(-2.21)\approx 0.0298109[/tex] (found using WolframAlpha)

Please mark as Brainliest!

a 175,000 loan compounded monthly at 3.2% for 19 years. how much intrest was earned

Answers

Answer:

Interest earned = $146,196.75

Step-by-step explanation:

A = $175,000

r = 3.2% = 0.032

n = 19

m = 12

FV = A*(1+i/m)^nm

FV = 175,000*(1+0.032/12)^19*12

FV = 175,000*(1+0.002667)^228

FV = 175,000*(1.002667)^228

FV = 175,000*1.83541

FV = $321196.75

Interest earned = $321,196.75 - $175,000

Interest earned = $146,196.75

Answer:

Step-by-step explanation:

I would need to get back to you

plz help tytytt very muchhhh:)))​

Answers

Step-by-step explanation:

I believe it's 4 have a great day!

Answer:

The answer is 2.

Step-by-step explanation:

If you subtract 1 from both sides you get 14, and that leaves you with 2x>14, which if u divide 14/2x you get x=7.

Do you know what the sales tax is in your state?

Answers

Answer:

no ;)

Step-by-step explanation:

What is the missing value in the ratio table below?

6 10
9 15
18 ?



A.
3

B.
30

C.
5

D.
45

Answers

Answer:

B.30

Step-by-step explanation:

Make a table and do ten divided by 10 to get 1 and divide 6 by 10 to get 0.6 then do 18 divided by 0.6 to know what to multiply by to get to eighteen which ends up being 30

8x+(-6)=5x-1 show step my step ​

Answers

Answer:

x=5/3 or 1 and 2/3

Step-by-step explanation:

8x+(-6)=5x-1

8x+(-6)+6=5x-1+6

8x=5x+5

8x-5x=5x-5x+5

3x=5

3x/3=5/3

x=5/3 or 1 2/3

is .36749… ratinal or irrational

Answers

I believe it is irrational

Jonny is buying a new pair of shoes. If the shoes are normally $25.00 and are on sale for 20% off, how much will he pay for the shoes before tax?

Answers

Answer:

$20

Step-by-step explanation:

First, we need to find 20% of $25. You can do this by multiplying $25 by 0.2

After multiplying , you get $5. So 20% of 25 is 5.

Now, we subtract because the shoes are 20% off

25 - 5 = $20

I hope this helped, please mark Brainliest, thank you!

Answer:

If Jonny is buying a new pair of shoes for that were $25.00 before the shoes went on sale the shoes are now 12.50 ct

Step-by-step explanation:

what is 55% of 300?​

Answers

Answer:

165

Step-by-step explanation:

Answer:

165

Step-by-step explanation:

Hope this helps!

For the equation y=5x, identify the:
slope
y-intercept

Answers

Answer:

slope = 5; y-intercept = (0,0)

Step-by-step explanation:

Answer:

slope= 5/1

y-intercept=0

Step-by-step explanation:

I hope this helps... if it does, may I be brainliest???

A goat is tethered to a rope that is 3.65 meters long. What is the maximum area of grass that the goat can graze on?

Answers

Answer:

3.65 meters

Step-by-step explanation:

If the rope is 3.65 meters long, then the goat can only go as far as the rope is long. That's unless the goat eats the rope.

The maximum area that a goat can graze on will be the area of a circle where the center of the circle will be one end of the rope as shown in the attached diagram.

What is the area of a circle?

The area of a circle with radius r is πr².

Radius of the circle= length of the rope = 3.65m

So, area of the circle = [tex]\pi r^{2}[/tex]

Area of the circle = [tex]\pi 3.65^{2}[/tex]

Area of the circle = 41.85m².

Therefore, the maximum area of grass that the goat can graze on is 41.85 m²

To get more about circle visit:

https://brainly.com/question/24375372

Which of these relations is a function

Answers

Answer:

the 4th one that looks like a squiggle

Step-by-step explanation:

Yes, it is in fact the bottom right one.

A woman wishes to enclose a rectangular garden with​ fencing, using the side of her garage as one side of the rectangle. A neighbor gave her 2727 feet of​ fencing, and she wants the length of the garden along the garage to be 66 feet more than the width. What are the dimensions of the​ garden?

Answers

Answer:

Length = [tex]13\ \text{ft}[/tex]

Width = [tex]7\ \text{ft}[/tex]

Step-by-step explanation:

Let

Breadth of the garden = x

According to the question length of the garden = 6+x

Fencing given for the rectangular garden = 27 ft

Perimeter of the garden is given by

[tex]6+x+x+x=27\\\Rightarrow 6+3x=27\\\Rightarrow x=\dfrac{27-6}{3}\\\Rightarrow x=7\ \text{ft}[/tex]

Here the garden's length will be along the garage so fencing will not done there. So length will be added only once in the perimiter.

The length of the garden is [tex]6+7 = 13\ \text{ft}[/tex] and the width is [tex]7\ \text{ft}[/tex].

HELP ME WITH MY HOMEWORK PEOPLE!
1. There are 24 boys in a classroom, and there are 30 girls.
Write a ratio for this number.
2. There are a total of 330 people in the school.
Write a fraction that represents the number of student is the class out of the school.
MAKE SURE YOU HAVE CORRECT ANSWERS! IF NOT, YOU WILL BE REPORTED!

Answers

Answer:

1. 4:5

2. 1/5

Divide the numbers 24 & 30.

24 ÷ 6 = 4

30 ÷ 6 = 5

Put together in a ration.

4:5

Add the numbers 24 and 30.

You get 54, right?

See how many times 54 goes into 330.

It goes into 330 5 times.

So, the fraction would be 1/5.

Hope this helps you!

Answer:

1.24:30

simplify= 4:5  

2.176/330

i think

Step-by-step explanation:

What is the sum?
8+(-12)
O-20
O 4
4
20
Please help I need this right now in 45 min please help please

Answers

The answer to this is -4

The absolute value of 5 is -5.

Answers

Answer:

the absolute value of 5 is 5 and absolute value of -5 is also 5.

Step-by-step explanation:

the absolute value of a number refers to how many spaces away a number is from 0, so it doesn't matter if the number is positive or negative, the absolute value is always positive. the absolute value of -7 is 7, the absolute value of 24 is 24, the absolute value of -435,706 is 435,706, the absolute value of 1,234,567,890 is 1,234,567,890.

i hope this helped :))

According to data obtained from the National Weather Service 187 of the 368 people killed by lightning were men. Assume that this trend holds for the future. What is the probability that a person killed by lightning is a woman

Answers

Answer:

0.4919

Step-by-step explanation:

From the given data:

187 of the 368 people killed by lightning were men.

i.e

Number of men = 187

Total number of people killed = 368

The objective is to determine the probability that the person killed by lightning is a woman.

The number of women = 368 - 187

The number of women  = 181

The probability that the person killed by lightning is a woman = 181/368

= 0.4919

A study of the time spent shopping at a supermarket is for a basket with 20 specific items showed an approximately a uniform distribution between 20 minutes and 40 minutes. What is the probability that the shopping time will be:

Answers

Answer:

The probability that the shopping time will be between 25 and 30 minutes is 0.25.

Step-by-step explanation:

The question is:

What is the probability that the shopping time will be between 25 and 30 minutes?

Solution:

Let X represent the time spent shopping at a supermarket for a basket with 20 specific items.

It is provided that X follows Uniform (20, 40).

Compute the probability that the shopping time will be between 25 and 30 minutes as follows:

[tex]P(25<X<30)=\int\limits^{30}_{25} {\frac{1}{40-20}} \, dx[/tex]

                         [tex]=\int\limits^{30}_{25} {\frac{1}{20}} \, dx \\\\=\frac{1}{20}\times [x]^{30}_{25}\\\\=\frac{30-25}{20}\\\\=0.25[/tex]

Thus, the probability that the shopping time will be between 25 and 30 minutes is 0.25.

BELOW,
ک
ج) -
) =
= [ ] 3 [ -
م)
WHICH OF
THE
/مرد ا ا د
7لاک(مع
? ه - 3
Q
2

Answers

Answer:

23 to the power of 7

Step-by-step explanation:

it is correct

I need help on how to do this, I don't need the answer, I just need to know how to do it QUICK.

Answers

Ummmm:

Whats the question???

What is the question?

what are the property for each equation​

Answers

Answer:

associative, distributive, commutative

Step-by-step explanation:

Commutative is something just flipped around so the 3rd equation would be commutative. Associative is something with the same numbers but asked in a different way so 1st would be associative. Distributive is breaking the equation down and apart to make it easier to complete so the 2nd would be distributive.

hope this helped :)

- may i get brainliest

1. Associative property
2. Distributive property
3. Commutative property

which equation represents a slope intercept form of the line below ​

Answers

Answer:

y = 1/2x + 8

Step-by-step explanation:

The 8 is where the line passes through the y-coordinate, and the 1/2x is the slope of the line. The 8 is positive because the line passes through +8 and not -8.

One number is selected from the set {1, 2, 3, 4, 5, 6, 7, 8, 9}. Find the probability the selected number is less than 7, given that it is less than 8.

Give your answer as a decimal rounded to 4 decimal places.

Answers

Answer:   0.8571

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

Explanation:

We're told that "given that it is less than 8", so we only focus on these values {1,2,3,4,5,6,7}. There are B = 7 items in this set.

Of those, the set {1,2,3,4,5,6} are less than 7. There are A = 6 items in this set.

The probability we're after is A/B = 6/7 = 0.8571

Answer:

I just got this question in my book, and i already solved it. so just saying that i now the answer, it is 0.8571

Owen lives 145.25 km from Houston, Texas. Sharon lives 209.5 km from Houston. What is the difference between these two distances?

Answers

Answer:

64.25

Step-by-step explanation:

Subtract 209.5-145.25=64.25

Answer:

64.25

Step-by-step explanation:

145.25 - 209.5 = -64.25, then you find the absolute value

A survey of all medium- and large-sized corporations showed that of them offer retirement plans to their employees. Let be the proportion in a random sample of such corporations that offer retirement plans to their employees. Find the probability that the value of will be greater than .

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 [tex]P(0.51 <  \^ p <  0.61 ) =  0.2587 [/tex]

b

 [tex]P(\^ p > 0.71 ) = 0.15165[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion  is  [tex]p = 0.64[/tex]  

   The sample size is n =  50

Generally the mean of this sampling distribution is  

       [tex]\mu_{x} = p = 0.64[/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma  =  \sqrt{ \frac{p(1- p )}{n } } [/tex]

=>    [tex]\sigma  =  \sqrt{ \frac{0.64(1- 0.64 )}{ 50} } [/tex]

=>    [tex]\sigma  =  0.068  [/tex]

Generally the probability that the value of [tex]\^ p[/tex] will be between 0.54 and 0.61 is mathematically represented as

     [tex]P(0.51 < \^ p < 0.61 ) = P( \frac{0.5 4 - \mu_{x}}{\sigma } < \frac{\^ p- \mu_{x}}{\sigma } < \frac{0.6 1 - \mu_{x}}{\sigma } )[/tex]

[tex]\frac{\^ p -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )[/tex]

 [tex]P(0.51 <  \^ p <  0.61 ) =  P( \frac{0.5 4  - 0.64}{0.068 } < Z < \frac{0.6 1  - 0.64}{0.068} )[/tex]

     [tex]P(0.51 <  \^ p <  0.61 ) =  P(-1.470 < Z < -0.4412 )[/tex]

=>   [tex]P(0.51 <  \^ p <  0.61 ) =  P( Z < -0.4412 ) - P(Z <  -1.470 ) [/tex]

From the z table  the probabilities of  ( Z < -0.4412 ) and (Z <  -1.912 ) is

     [tex]P ( Z < -0.4412 )  = 0.32953 [/tex]

and  

    [tex]P(Z < -1.470 ) = 0.070781[/tex]

Generally

   [tex]P(0.51 <  \^ p <  0.61 ) =  0.32953 -0.070781 [/tex]

  [tex]P(0.51 <  \^ p <  0.61 ) =  0.2587 [/tex]

Generally the probability that the value of [tex]\^ p[/tex] will be greater than 0.71  is mathematically represented as

        [tex]P(\^ p > 0.71 ) = P( \frac{\^ p - \mu_{x}}{\sigma} > \frac{0.71 - 0.64 }{ 0.068 } )[/tex]

=>    [tex]P(\^ p > 0.71 ) = P( Z > 1.0294 )[/tex]

From the z table  the probabilities of ( Z >   1.0294  )

      [tex]P( Z > 1.0294 ) = 0.15165[/tex]

So

  [tex]P(\^ p > 0.71 ) = 0.15165[/tex]

Perform the following calculation.
1 - 4 + 1 - 111 =

Answers

Answer:

-115

Step-by-step explanation:

Answer:

-113

Step-by-step explanation:

1-4+1-111 = -3+1-111 = -2-111 = -113

What is the radius and diameter of the circle!?

Answers

Answer:

diameter will be 18

and radiuse will be half of 18

Step-by-step explanation:

Each angle of the equilateral triangle in the figure has measure (2x – 9)°. Determine the value of x.

Answers

Answer: The answer to this question would be  {9}/{2}

Step-by-step explanation:

Answer:

x=69

Step-by-step explanation:

I had this question

Kim packed 6 boxes with school supplies. Each box contained an equivalent number of pencils, pens, and rulers. Which list of school supplies could be the greatest number of pencils, pens, and rulers that Kim packed into boxes?

Answers

Answer: she isnt even correct lnnao

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