You started saving for a car when you were in middle school. You have done some research and discovered that it will cost you about $15,000 for a used car that would fit your needs. You were encouraged to invest some of your savings to help you get to your financial goal faster. So far you have saved $10,000. If you invest this money in a savings account with a 3% interest rate compounded annually, how long will it take to earn enough money to go purchase the car? Use the compound interest formula A = P (1 + i)n, where A is the accumulated amount, P is the principal, i is the interest rate per year, and n is the number of years.

Answers

Answer 1

Answer:

=> $2,833.47

Step-by-step explanation:

n = [lnA - lnP] / ln(1 + i)

n = [ln15000 - ln10000] / ln(1 + 0.03)

n = [9.6158 - 9.2103] / 0.0296

n = 13.70

13 years, 8 months and 12 Days

P = A / [(1 + i)n]

P = 15000 / [(1.03)4]

P = 15000 / 1.1255

P = $13,327.31

A = 10000 (1 + 0.04)5

A = $12,166.53

The amount of money you need to save to buy a car at $15,000 would be;

$15,000 - $12,166.53

=> $2,833.47


Related Questions

I need helpp please​

Answers

Answer:

A, 0.07 x 0.06 =0.42.

Step-by-step explanation:


R.11 Multiply using the distributive property NUY
Simplify the expression:
-5(-8 + 2k)=

Answers

Answer:

40 - 10k

Step-by-step explanation:

-5(-8 + 2k)

Distribute;

40 - 10k

best estimate for 6,193 ÷ 48 using compatible numbers.

Answers

Answer:

1)100

2)120

3)130

Step-by-step explanation:

I think these three are correct but I am not sure so sorry guyz.

for geometry help thanks <33

Answers

Answer:

12

Step-by-step explanation:

3. Marcus and Judy are picking apples. At the end of the day, Marcus has a apples. Judy has 5 times as many apples as Marcus. Which expression represents the number of apples Judy has in terms of a?
Group of answer choices

a-5

5a

5+a

5/a

Answers

Answer:

A-5

Step-by-step explanation:

It’s is 5a. Step by step explanation: Marcus is represented as A. And Judy has 5x more than him and 5a means five times marcuss apples

Will the standard form 3.2 x 10-4 be more or less than 1? Explain what effect the
negative exponent has.

Answers

The answer is 28. It is more than one

Solve the following equation for D. Be sure to take into account whether a letter is capitalized or not. fD - 7 = q^2

Answers

Answer:

[tex]\displaystyle D=\frac{q^2+7}{f}[/tex]

Step-by-step explanation:

Equation Solving

We are given the equation:

[tex]fD - 7 = q^2[/tex]

It's required to solve the equation for D. All letters must preserve their capitalization.

We must isolate the letter D by removing from the left side all the terms and coefficients that surround it.

Adding 7:

[tex]fD = q^2+7[/tex]

Dividing by f:

[tex]\mathbf{\displaystyle D=\frac{q^2+7}{f}}[/tex]

match the expression to it simplified form

Answers

Answer:

I'd love to help but it seems you have not added an attachment or maybe the rest of the question..

Step-by-step explanation:

The three sides of a triangle are in different colors – blue, green and red. The ratio of the length of the blue side to the length of the green side to the length of the red side is 3 : 4 : 5. The perimeter of the triangle is 240 cm. a) Fill in the blank: ___ units = 240 cm b) Fill in the blank: 1 unit = ___ cm c) What is the length of the red side of the triangle?

Answers

Answer:

The perimeter is the distance around the triangle. Given the ratio, the perimeter using the ratio is;

= 3 + 4 + 5

= 12 units

a. 12 units = 240 cm

The perimeter in centimetres is 240cm and in ratio is 12 units so they are equivalent.

b. 1 unit = 20 cm

If 12 units are to 240 cm, 1 unit is;

= 240/12

= 20 cm

c. Length of red side;

Red side has length of 5 units. 1 unit is 20 cm.

Length in cm is;

= 5 * 20

= 100 cm

The mean of 20 observations is 12.5. By error, one observation was noted as (-15) instead of 15. Then the correct mean is ___?

Answers

Answer:

The correct mean is -12.5.

Step by step explanation:

If one of the 20 observations is a negative number, then the mean would be negative. This is because, when a negative number is in contact with (meaning added, subtracted, multiplied by) a positive number, the whole answer is negative, because it's opposite signs.

Hope this helps! :D

Dr. Gordon has a scale drawing of a building site thr drawing uses the scale 2 in on the drawing for every 100 ft on the building site dr gordon marks a 6 in. by 3.2 in section of the draeing to show the section she will search what is the area of the section she will search?

Answers

The required area of the section Dr. Gordan will search is equal to 48,000ft².

As given in the question,

Scale used by Dr. Gordan

2 in = 100 ft

⇒1 in = 50 ft

Dr. Gordon marks a 6 in. by 3.2 in section

Length = 6 in

           = ( 6 × 50 )ft

           = 300ft

Width = 3.2in

         = ( 3.2 × 50 )

         = 160ft

Area of the section = length × width

                                = 300 × 160

                                = 48,000 ft²

Therefore, the required area of the section Dr. Gordan will search is equal to 48,000ft².

Learn more about area here

brainly.com/question/27683633

#SPJ1

How are opposite angles of a quadrilateral related? (Select all that apply.)

A. Equal
B. Supplementary
C. Unknown

Answers

Answer:

B. Supplementary

Step-by-step explanation:

Find the range of the following set of data:12,2,14,80,100

Answers

Answer: 98

Step-by-step explanation: Subtract the biggest number from the smallest. 100-2=98

Answer:

Range of data =Highest data_ lowest data =100_2=98The range of data is 98.

Step-by-step explanation:

I hope l helped you. Please follow me. ❤❤❤❤

What IS 1 + 1 in monkey math?

WILL GIVE BRAINLIEST!!​

Answers

2 of course 1+1=2 ik what your talking ab

Which type of reaction is C12H22O11 → 12C + 11H2O? synthesis decomposition oxidation combustion

Answers

Answer:

The correct answer would be B) Decomposition

Step-by-step explanation:

Edge Cumulative Exam 2022

The type of reaction is Decomposition reaction.

What is Decomposition reaction?

A decomposition reaction occurs when one reactant breaks down into two or more products. This can be represented by the general equation:

AB → A + B.

Examples of decomposition reactions include the breakdown of hydrogen peroxide to water and oxygen, and the breakdown of water to hydrogen and oxygen.

Given reaction:

[tex]C_{12}H_{22}O_{11}[/tex] → 12C + 11[tex]H_{2}O[/tex]

(Sucrose)

Here  [tex]C_{12}H_{22}O_{11}[/tex] has been decomposed or break into C and 11[tex]H_{2}O[/tex]molecule.

Hence, the given reaction is decomposition reaction.

Learn more about decomposition reaction here:

https://brainly.com/question/8009068

#SPJ6

Help! Find the value of x.

Answers

Answer:

30 degrees

Step-by-step explanation:

the sum of a triangles angles needs to be 180 and since its an equilateral, all angles are the same so if each angle is 60 degrees do

60 / 2 = x

x = 30

Answer:

9

Step-by-step explanation:

You add all of the side numbers together. Think this way, area you add because area starts with an A. Hope it helps.

Find the measure of the missing angle.
a
31°

Answers

Answer:

149 degrees. See below for details.

Step-by-step explanation:

A straight line is an angle of 180 degrees. To solve this, you simply have to subtract 31 from 180.

180-31=149

Angle a has a measure of 149 degrees.

I hope this helps you!

Which answer choice do I pick?

Answers

Answer:

D. f(x) = 8x

Step-by-step explanation:

At each increasing x point, the y point increases by 8, this means that for each x increasing by 1, y increases by 8, which means y = 8x

Answer:

Fourth choice, f(x) = 8x

Step-by-step explanation:

y is going up or down and x is left or right, u riht the slope like y/x

so it's going up 8 units every 1 unit it goes to the right so it's 8/1 which is 8 so 8 is ur slope

Daniel needs to bake cookies for a bake sale. Each cookie will cost dollars. Brandon makes 12 chocolate chip cookies and 18 sugar cookies. Create an expression that represents Taylor's total cost of the cupcakes.

Answers

Answer:

An expression that represents Taylor's total cost of the cupcakes is written as:

y = 30x

Step-by-step explanation:

We are told in the question:

Brandon makes 12 chocolate chip cookies and 18 sugar cookies.

Let us represent the total cost of cookies as y

The price of each cookies as x

Therefore,an expression that represents Taylor's total cost of the cupcakes is written as:

y = 12x + 18x

y = 30x

The table below shows that the number of miles driven by Taylor is directly proportional to the number of gallons she used.
Gallons Used /Miles Driven
42 1125.6
48 1286.4
50 1340
What is the constant of proportionality between the number of miles driven and the number of gallons used?

Answers

Answer:

24.3

Step-by-step explanation:

[tex]\frac{Gallons}{Miles} =\frac{Gallons}{Miles}[/tex]

[tex]\frac{g}{884.52} =\frac{22113}{910}[/tex]

910g = 25 x 884.52

[tex]\frac{910g}{910} =\frac{22113}{910}[/tex]

g = 24.3

This is the correct answer. Hoped this helped!

The constant of proportionality is 26.8

Calculating the number of miles driven per gallon of fuel used:

1125.6/42 = 26.8

1286.4/48 = 26.8

1340/50 = 26.8

we get 26.8 miles traveled in one gallon fuel.

if we represent gallons of fuel by x and miles traveled by y, the equation thus formed will be:

                  y = 26.8x

hence the constant of proportionality is 26.8

Learn more about constant of proportionality:

https://brainly.com/question/15525667

 

Jim has $8 to spend on pizza. The slice is $4 and each
topping is $0.50. Create an inequality to represent the
number of toppings Jim can get if he only buys one slice of pizza.

Answers

Answer:

0.50x +4 ≤ 8

Step-by-step explanation:

What is the solution set of the compound inequality
x + 1 < -2x + 11 < 3 x + 5?

Answer choices:

6/5 < x < 10/3
-1/3 < x < 2
No solution
-2 < x < 10/3

Answers

Answer:6/5<x<.10/3

Step-by-step explanation:

PLEASE HELP ILL AWARD BRAINLIEST
Use a two-column proof to prove the Triangle Proportionality Theorem:

*image attached*

Answers

Answer:

A line ED parallel to one side of the triangle {CB} has intersected the other two sides of the triangle [AB and AC] making the sides proportional.

Step-by-step explanation:

The Triangle Proportionality Theorem states that:

If a line parallel to one side of a triangle intersects the other two sides then it divides those sides proportionally. The segments joining midpoints of the two sides of the triangle will be parallel to the third side and half the length.

This means if a line divides two sides of a triangle proportionally, then it is parallel to the third side.

In this case;

AD/AB =AE/AC is true because;

A line ED parallel to one side of the triangle {CB} has intersected the other two sides of the triangle [AB and AC] making the sides proportional.

The segments{AD,AB,AE,EC] joining the midpoints {D & E} of the two sides {AB & AC} of the triangle will be parallel to the third side BC and half the length.

PLEASE HELP SOON. NO ONE IS ANSWEING ANY OF MY QUESTIONS.

Answers

Answer:

C

Step-by-step explanation:

What is equivalent to 8/9 divided by 3/4

Answers

Answer:

8/9 divided by 3/4 is equivalent to 16/18 divided by 6/8

Step-by-step explanation:

Just multiplied the numerator and denominator of both fractions by 2.

what is the equation of the graphed line written in standard form ? ​

Answers

Answer:

y = 1/4x-1

Step-by-step explanation:

0 - -1 = 1

4-0 = 4

slope: 1/4

2x + y = -3
What’s the solution?

Answers

y= -3 - 2x because all you have to do is move the 2x over to have an x and a y on different sides, and in order to do that you do the opposite so since it is a positive 2, you subtract it and make it negative

Answer:

The slope is, -4.000/-2.000 which = 2.000

Step-by-step explanation:

Brain-List?

Can you choose an option and give the working

Answers

Answer:

option B

Step-by-step explanation:

P is currently at a height of 3 cm. in 2 days it'll have grown 2 cm (0.5 x 2), meaning it'll measure 5 cm.

Q is currently at a height of 5 cm. in 2 days it'll have grown 3 cm (1.5 x 2), meaning it'll measure 8cm.

8-5=3

Q will be 3 cm taller than P

What is the answer??

Answers

the answer is c, -2.

If it's not correct I'm sorry but I'm 98% sure its correct

Answer: C. The slope is -2

what u what to get for Christmas?​

Answers

Answer:

Robux and a Ps5

$1,000 and some AirPod pros
Other Questions
What did the pope ask Europeans to "participate in" against the Muslims in 1099 and why? internal control is a process designed to provide reasonable assurance regarding the achievement of which objective? PLEASE HELP ME IM BNEING TIMED!!! What does the word cultural mean?A. habitual or customary usageB. having to do with social customsC. having to do with numbersD. smallest in amount or degree pls help! ill give b1. Tengo calor; ________ en el patio.2. Maite, ________ tu mam en el bao?3. Seora Cuevas, ________ en el dormitorio?4. Eres Pablo y ________ enfrente de la casa.a. estoyb. estc. est ustedd. ests Which family in the periodic table has metals that are usually harder than other metals? Alkali metals Alkaline earth metals Lanthanide series Transition metals 1.When 2 is added to three times a number, the result was 17. The number isRequired to answer. Long division of 39486400 by 575??? ASAP PLZ HELP I MARK BRIANLIST IF U GIVE ME RIGHT ANSWER Use the formula to solve the problem. Round to the nearest hundredth.Volume of a sphere: V = 4/31tr3Surface area of a sphere: A = 4rtr2Find the volume of a sphere with a radius of 1 inch._____cubic in. Which key flaw most likely encouraged the replacement of the Articles of Confederation?1)The Articles did not give states the right to sign treaties.2)The Articles did not allow Congress to enforce national laws.3)The Articles did not allow Congress to raise money through taxes.4)The Articles did not allow states to participate in national law-making processes. 12. An account having a credit balance in general ledger will be classified as:A. An asset accountB. An expense accountC. A liability accountD. All of the above Which scenario best describes an impact of aging on cognition? Edward has difficulty staying warm, even when it isn't cold outside. Sylvia is unable to climb stairs as quickly as she used to. Albert is experiencing a large amount of grief as he ages. Donald is showing early signs of dementia. How has Hamas impacted the Israeli-Palestinian crisis?O They have advanced the two-state solution through diplomatic actions.O They have improved Palestinian-Israeli relations by laying out a "road map to peace."O They have slowed peace negotiations with protests and marches.O They have derailed peace talks through violent terrorist attacks.Lo 1. What do you think is the most important event in the history of the internet? What event has had the biggest impact on your daily life? show your solution find the 6 and 7 term 1. Who was performing world music in the middle ages?2. Which topics were the tracks?3. Forms of world music? Help i dont know if my answers are correct and I need the other ones I didnt answer to be answered to please help I need the correct answer for 1-8 I need to bring my grade up Which of the following would MOST LIKELY result if more farmers began to plant only genetically modified crops that have an increased tolerance to insects? A,This will cause genetically immune humans.B.The genetic diversity of the crops will decrease. C.There will be an increase in the toxicity levels in humans. D.Farmers will use more pesticides causing harm to humans. WILL GIVE U EXTRA POINTS BY BRAINLIEST need help asap Because by separate secession the state relinquishes all its rights within the government; it surrenders its equal rights to the common territories, to the vast public domain of the United States and the public property of every kind belonging to the nation. And for this reason I oppose secession as being emphatically submission.A Protest against the Ordinance of Secession,James G. TaliaferroWhy does Taliaferro equate secession with submission? Louisiana would lose its public domain lands to the United States. Louisiana would be forced to surrender its property rights to the United States. Louisiana would appear weak to the United States. Louisiana would lose rights in government and rights to US public property.