(25 POINTS)Please help me, and show all of your work step by step.
Now say you invest $6,500 and the highest interest rate you can find is 2.5% compounded annually, but you would have to leave this investment in the account for a minimum of 5 years. If you decide to wait 5 years to buy the car, how much more money will you have to save to buy a car at the price of $8,000? Use the compound interest formula A = P(1 + i)^n.
A = accumulated amount
P = principle
i = interest rate
n = number of years

Answers

Answer 1

Answer:

$ 645.85

Step-by-step explanation:

First you would plug 6,500 into P. The plug 2.5% as 0.025 into i. And plug the years (5) into n.

A = 6500 (1 + 0.025)^5 = 7354.15

That is the amount that would be in the account at the end of the 5 years.

Then you take the cost of the car (8,000) and subtract the money left in the account (7,354.15).

8000 - 7354.15 = 645.85

Your final answer would be rounded to the nearest cent, or the hundredths place.


Related Questions

1. Write an expression in simplest form for the area of the figure below:
(answer pls)

Answers

Answer:

(5x+6)(2x+5)-(2x+4)(x+8) simplified is 8x^2+17x-2

Step-by-step explanation:

Answer:

13x²+16x+28

Step-by-step explanation:

S=(5x+6)×(3x+2)=15x²+28x+12

2x+5-x-3=x-2

5x+6-3x+2=2x+8

(x-2)×(2x-8)=2x²-12x+16

15x²+28x+12-2x²-12x+16=13x²+16x+28

Please help!!! 20 points + brainliest!!
6 + (-47) =

Answers

Well, all we have to do is add, so:

6 + (-47) =

6 - 47 =

-41

Answer:

(-41)

Step-by-step explanation:

Subtract and write big numbers sign.

47 - 6= (-41)

jane is X years old. How old will she be in 2 year's time? How old will she be in 5 year's time?​

Answers

Answer:

Jane's age = X

In 2 years time = X + 2

In 5 years time = X + 5

Step-by-step explanation:

Answer from Gauth math

Answer:

Step-by-step explanation:

Jane is X years old means she is currently X age. So 2 years later she will be 2+X years old and 5 years later she will be 5+X years old

Find the slope of the line containing the points (-3, -6) and (4, 7).

Answers

Answer:

[tex]\frac{13}{7}[/tex]

Step-by-step explanation:

→ State the slope formula

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

→ Substitute in the values

( 7 - -6 ) ÷ ( 4 - -3 )

→ Simplify

[tex]\frac{13}{7}[/tex]

Answer:

slope = [tex]\frac{13}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (4, 7)

m = [tex]\frac{7-(-6)}{4-(-3)}[/tex] = [tex]\frac{7+6}{4+3}[/tex] = [tex]\frac{13}{7}[/tex]

Find the Segment.I need help ASAP

Answers

Answer:

Does the answer help you?

Answer:

x = 65 units

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of large triangle)² = (part of hypotenuse below it) × (whole hypotenuse), so

x² = 25 × (25 + 144) = 25 × 169 = 4225 ( take square root of both sides )

x = [tex]\sqrt{4225}[/tex] = 65 units

The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new model of cell phone supplied from the manufacturer are randomly chosen and the actual standby durations are recorded as below:

48.2 47.8 45.6 47.2 49.3
51.2 44.2 45.4 49.2 43.6

(a) Calculate the unbiased estimates of population mean and standard deviation of battery standby duration (in hours) of the new cell phone.

(b) The manufacturer claimed that this new model of cell phone has the mean battery standby duration of longer than 46.5 hours. Test at 1% significance level if this claim is true.

Answers

x = number of hours

want to find probability (P) x >= 13

x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.

P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413

To convert that to percentage, multiply 100, to get 84.13%

I need help ASAP!! Please explain how to solve the question

Answers

Answer:

318

Step-by-step explanation:

Let's divide this shape into 2 triangles & 3 rectangles.

Area of Triangle = 1/2 (bh)

(1/2 (9x6) ) x 2   = 54

Area of Rectangles = (9x11) + (8x11) + (7x11)

= 264

264 + 54 = 318km^2

Answered by g a u t h m a t h

A and B can do the work in 8 days ; B and C can do the work in 12 days ;A ,B and C together can finish it in 6 days .In how many days A and C together will do the same work

Answers

The answer is B because it has a days to work in and if you’re working at the same job every day it will take 12 days a week 8-2(2-4)=2

누가 좀 도와주세요 help
[tex] \sin(36) - \cos(54) \\ \tan(80) - \cot(10) [/tex]

Answers

Answer:

Step-by-step explanation:

Sin (90 - ∅) = Cos ∅

90 -54 = 36

Sin 36 = Sin (90 - 54)

            = Cos 54      --------->(I)

Now, Sin (36) - Cos (54) = Cos 54 - Cos 54   {From 1}

                                        = 0

2) tan (90-∅) = Cot ∅

Tan 80 = Tan (90 - 10)

            = Cot 10  ----------(II)

Tan 80 - Cot 10 = Cot 10 - cot 10   -----------(from (II)}

                         = 0

Are you korean?

≧∇≦

ฅ'ω'ฅ

From a group of three boys and six girls a boy and a girl will be selected to attend a conference and how many ways can the selection you made

Answers

Answer:

18

Girl  = g

Boy = b

1g 1b  1g 2b  1g 3b

2g 1b  2g 2b  2g 3b

3g 1b  3g 2b  3g 3b

4g 1b   4g 2b  4g 3b

5g 1b   5g 2b  5g 3b

6g 1b   6g 2b  6g 3b

---------------------------------------

Another way you can do this,

6 × 3 = 18

In the end there will be 18 selections.

the correct answer is 18. hope this helps :)

Select the best real-world situation that can be represented by 12 + = 13.50. Group of answer choices Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers? Rachel earns $12 per hour. How long does it take her to earn $13.50? Jane has $13.50 to spend. How many roses can she buy if they are $12 each? Sarah has $12 in her checking account, but has written a check for $13.50. How much is she overdrawn?

Answers

Answer:

Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers?

Step-by-step explanation:

12 + c = 13.50

OpruonnA seems to be the best, hence, Breaking down in real world terms :

13.50 = total cost

Number of variables added to make up total cost = 2 ; this represents the cost of the 2 items purchased ; flowers and perfume

Cost of perfume = 12

Cost of flowers = c

Total cost of items = $13.50

SEE QUESTION IN IMAGE

Answers

Answer:

See below

Step-by-step explanation:

(b)

The table is attached

(i)

The graph is attached

(ii)

(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median

(b)  Vertical line from the 45% mark intersects the graph at approximately 177th point. The number of candidates passed the test:

500 - 177 = 323

(iii) P(pass) = 323/500 = 0.626 or 62.6%

Ray is making his reward winning lemonade recipe for a party he is comparison shopping for lemons at super pioneer supermarket he can buy 4 lemons for 1.60 ray visits keyfood and found 3 lemons cost 1.80 use the table below to compare the values

Answers

Step-by-step explanation:

Super Pioneer:

If at the Super Pioneer Store he can get 4 lemons for 1.6 dollars, 1 lemon should cost:

4: 1.6

1:. X

4x = 1.6

X = 1.6/4

X = 0.4

1 lemon costs 0.4 dollars

How many lemons could we get from $2.4?

1 : 0.4

X : 2.4

0.4x = 2.4

X = 2.4/0.4

X = 6

2.4 dollars would get you 6 lemons

8 lemons would cost= 8x0.4 = $3.2

Keyfood Supermarket

3 lemons cost 1.8$, so how mucb does 1 lemon cost?

3: 1.8

1 : X

3x = 1.8

X = 1.8/3

X = 0.6

If 1 lemon costs 0.6, how many lemons could you buy from $3?

1: 0.6

X : 3

3 = 0.6x

X = 3/0.6

X = 5

If 1 lemon cost 0.6$, 8 lemons would cost:

8 x 0.6 = $4.8

(I have also edited the answers on the table, but sorry if they seem a bit messy)

Answered by G a u t h m a t h

What is the sum of the angles 'a' and 'b' from the diagram below.

Answers

Answer:

90+ 135= 225

Step-by-step explanation:

a can be found with formula (n-2)×180/n, where n is number of sides

a= 135

b=90

Calculate using order of operations.
7.8+6.2×(4-1.5)×4​

Answers

Answer:

I believe that the answer is 69.8

The answer is 69.8 I did the math if you can give me brainliest

Hotdogs come in packages of 10, while rolls come in either 8 or 12. What is the smallest number of packages of each you have to buy in order to have the same number of hotdogs and rolls?
Please explain the answer.

Answers

if the rolls come in 8

then we check which multiples 8 and 10 have in common which is 40

8,16,24,32,40

10,20,30,40

which is 5 packages of rolls and 4 pack of hot dogs

if the rolls are 12

we check the multiples which they have in common

12,24,36,48,60

10,20,30,40,50,60

which is 5 packages of rolls and 6 pack of hot dogs

Pls mark as brainliest

que es la razon de una figura semejante

Answers

Answer:

English for fast response

Solve inequality problem (urgent help please)

Answers

Answer:

B

Step-by-step explanation:

|3m-2|=>1

1 <= 3m-2 or 3m-2 <= -1

3 <= 3m or 3m <= 1

1 <= m or m <= (1/3)

How many natural numbers are between 97 through 256?

Answers

Answer: go to this website https://en.wikipedia.org/wiki/256_(number) it may help you

Step-by-step explanation:

There are 156 natural numbers between 97 and 256.

What are the Natural Numbers?

Natural numbers are defined as refer to a set of all the whole numbers excluding 0. We generally utilize these numbers in our speech and daily activities. Everywhere we look, numbers are used to count things, represent or exchange money, measure temperature, tell the time, etc. These numbers that are used for counting objects are called 'natural numbers'. For example, while counting objects 5 pencils.

Given data as :

The natural numbers are 97 and 256

To determine the numbers between the following, firstly subtract them and then subtract 2 to it.

97 and 256

⇒ 256 - 97

⇒ 158

Substract 2 from it.

= 158 -2

= 156

Thus, there are 156 natural numbers between 97 and 256.

Learn about natural numbers here :

https://brainly.com/question/17429689

#SPJ2

What are the simplest forms for red, blue, and green line

Answers

Answer:

Red line: y=-1/2x+1  Blue line: y=-1/3x-2  Green line: y=x

Step-by-step explanation:

f(x) red line m=-1/2 b=1

g(x) blue line m=-1/3 b=-2

h(x) green line m=1 b=0

What is the value of the expression below when x=3 and y=8?
6x +10y

Answers

Answer:

98

Step-by-step explanation:

The value of the expression below when x=3 and y=8 is 98.

A heron can travel an average of 400 km in 10h. What is the rate of change of distance?

Answers

Rate of change of distance is also known as speed.

Given,

Distance (s) = 400km = 400 × 1000m = 400,000m

Time (t) = 10h = 10 × 3600s = 36,000s

We know that,

Speed (v) = Distance/Time

[tex]=> v = \frac{s}{t} \\ => v = \frac{400000m}{36000s} \\ => v = \frac{400m}{36s} \\ => v = \frac{100m}{9s} \\ => v = \frac{100}{9}m {s}^{ - 2} \\ [/tex]

A heron can travel an average of 400 km in 10 hours. Then the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].

What is the meaning of the term “distance”?

Distance is a measurement of how far apart two things or locations are, either quantitatively or occasionally qualitatively. Distance in physics or common language can refer to a physical length or an estimate based on other factors.

The term is frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects, or a degree of separation as exemplified by distance between people in a social network.

The concept of a metric space is used in mathematics to formalize the majority of such concepts of distance, both literal and figurative.

[tex]Distance (s) = 400km \\= 400 \times 1000m \\= 400,000mTime (t) = 10h \\= 10 \times 3600s \\= 36,000s\\\\Speed = Distance / Time\\= 400000 / 36000\\= 11.12 ms^{-2}[/tex]

Therefore, the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].

Learn more about distance from here:

https://brainly.com/question/15172156

#SPJ2

Factor the Quadratic: 3x^2+12x-36=0

Answers

Answer:

3x ^ 2 + 12x-36 = 0

3(x²+ 4x-12)=0

3(x²-2x+6x-12)=0

3[x(x-2)+6(x-2)]=0

3(x-2)(x+6)=0

⇒[tex]\left \{ {{x-2=0} \atop {x+6=0}} \right.[/tex]⇔[tex]\left \{ {{x=2} \atop {x=-6}} \right.[/tex]

can anyone help me pleassseeee!

Answers

Answer:

baba booey

Step-by-step explanation:

i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have. (Hint: one is the other simplified)

Answers

Answer:

(N)0.05 + (17-N)0.1 = M; M = amount of money I have.

Or 1.7-0.05N = M.

Step-by-step explanation:


Two supplementary angles measure (7x + 11) and (14x + 1)º. What is
the measure of the smaller angle?
(1) 40.5°
(2) 67°
(3) 108°
(4) 123°

Answers

Answer:

67 degrees (Answer 2)

Step-by-step explanation:

These two angles must sum up to 180 degreess because they are supplementary.  Then:

7x + 11 + 14x + 1 = 180, or

21x + 12 = 180, or

21x = 168

Solving for x, we divide both sides by 21.  This results in x = 8.

The measure of the smaller angle is 7x + 11, which here is 7(8) + 11 = 67 degrees (Answer 2).

It’s 11 but I need help

Answers

A,12/15=4/5

B,20/25=4/5

C,25/30=5/6

D,28/35=4/5

=> C

Plz solve it
Factorize: no w​

Answers

Answer:

here we can go for two solution

Can someone help me I don't understand

Answers

Answer:

Q'(3,1) R'(2,5) S'(4,3)

Step-by-step explanation:

Q (-4,-4) -4+7= 3 and -4+5=1 so (3,1)

R (-5,0) -5+7=2 and 0+5=5 so (2,5)

S (-3,-2) -3+7=4 and -2+5=3 so (4,3)

Out of a class of 150 one third opted for Germany two fifth for Italian and rest for French. find how many opted for French​

Answers

Answer:

40

Step-by-step explanation:

Total is 150

Germany=1/3 *150 = 50

Italian= 2/5 * 150 = 60

Total - Germany- Italian= French

150 - 50 -60= 40

Other Questions
PAIesung0 Weberchool CareersReading list- Blake bought a motorcycle for $550 last year and sold it for $330 this year. What is his saleprice as a percentage of his purchase price? How do I do this? What are the answers to the 5 questions shown? a^4+b^4 phn tch thnh nhn t In the Fourth Party System, Democrats versus Republicans (GOP), which party was the liberal party in terms of wanting to use the power of the federal government and which is the conservative party? Plz show steps for this As an estimation we are told 5 miles is 8 km.Convert 34.5 km to miles. civil cases cannot be tried by what?A judgeA judge and jury Third party arbitrator An arbitrator not agreed upon Solve the system using the linear combination method.first equation. 5 x plus y equals 5 second equation. 10 x plus 3 y equals 20 A runner increases his velocity from 0 m/s to 20 m/s in 2.0 s. What was his average acceleration? /17CorrectQuestion 1 of 17, Step 1 of 1Write a mixed number to describe the length of the ribbon shown in the figure below.Please enter your answer in the box below.InchesAnswerHow to enter your answerIf your answer is a whole number, enter it in the left most box and leave the numerator and denominator boxes blank. Listen to the audio, read the question, and choose the correct option to answer the question.According to the audio, what could be a possible issue with step one? A better landing Proper luggage weight Punctuality Safety Well Water Inc. wants to produce and sell a new flavored water. In order to penetrate the market, the product will have to sell at $2.00 per 12 oz. bottle. The following data has been collected: Annual sales......................................................50,000 bottles Projected selling and administrative costs.....$8,000 Desired profit.....................................................$80,000 The target cost per bottle is:__________ 15. How can these two sentences be combined into one compound sentence?The dog wanted to jump into the water. The owner wouldn't allow it.Although the dog wanted to jump into the water, the owner wouldn't allow it.As the dog wanted to jump into the water, the owner wouldn't allow it.The dog wanted to jump into the water, but the owner wouldn't allow itThe owner wouldn't allow it: The dog wanted to jump into the water. For the titration of 50. mL of 0.10 M ammonia with 0.10 M HCl, calculate the pH. For ammonia, NH3, Kb Select all that apply.What are the angle measures in a 30-60-90 right triangles?901506012030 The purpose of an introduction in a piece of writing includes all the following goals, exceptto engage the readers attentionto announce the purpose of the piece of writingto clarify the relevance of the topic to the readerto provide evidence support of the thesis please help me with this on the image Choose the Right Part of SpeechDirections: Choose the best answer.1. The BOY is eating. (What part of speech is the word "BOY" in this sentence?)a. verb b. adjective c. noun d. adverb2. The girl ate some delicious FRUIT.a. adjective b. noun c. verb d. adverb3. Mary WILL TAKE a course in quantam physics this fall.a. adjective b. noun c. pronoun d. verb4. The students ARE WRITING a long essay for class.a. noun b. adverb c. verb d. adjective5. Everyone THINKS the cafeteria food is terrible.a. verb b. noun c. pronoun d. adjective6. The child kicked the BLUE ball yesterday.a. noun b. adjective c. adverb d. verb7. I am SAD.a. pronoun b. verb c. adjective d. noun8. These birds all FLY together.a. noun b. verb c. adverb d. adjective9. The black FLY is swimming in my soup.a. noun b. verb c. adjective d. pronoun10. It is dark in here. We need to turn on the LIGHT.a. verb b. pronoun c. adjective d. noun11. It is dark in here. We should LIGHT a candle.a. verb b. pronoun c. adverb d. noun12. A truck is very heavy. A feather, on the other hand, is very LIGHT.a. verb b. adjective c. adverb d. noun13. The ice is very thin. Be careful! You must walk LIGHTLY on the ice!a. noun b. verb c. adverb d. adjective synonyms1. SwellA. pulseB. exterminateC. knowD. exceedE. enlarge2. NameA. announceB. numberC. stretchD. curiosityE. attach On Jan. 1, 2018, your cousin, Laura, purchased one $1,000, 5-year semiannual bond with a coupon rate of 8%. The yield of the bond was 8% at the time. How much did Laura pay for the bond?