An initial investment of $1000 grows at an interest rate of 4% per year. How long will it take that investment to reach $1,500? Assume that you make no further deposits or withdrawals from the investment account. Round to the nearest tenth of a year.
a. 12.6 years
b. 5.4 years
c. 9.8 years
d. 10.3 years

Answers

Answer 1

Answer:

ITS 10.3 !!!

Step-by-step explanation:

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Answer 2

12.6 years will be taken for the amount to reach to $1,500.

What is Simple Interest?

Simple interest is the interest which are accumulating over the principal amount. This interest rate only depends on the principal amount, contrary to the compound interest.

The formula for calculating the final amount in Simple interest is,

A = P(1 + r t)

where A is the final amount, P is the principal amount, r is the interest rate and t is the time period.

Simple interest rate, r = 4% = 4/100 = 0.04

Principal amount, P = $1000

Final amount A = $1500

We have to find the time 't'.

1000 [1 + (0.04 × t)] = 1500

1 + 0.04 t = 1500 / 1000

1 + 0.04 t = 1.5

0.04 t = 1.5 - 1

0.04 t = 0.5

t = 0.5 / 0.04

t = 12.5 ≈ 12.6

Hence it will take 12.6 years to reach $1,500.

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Related Questions

A 47-foot tall tree casts a shadow that is 89 feet long find the measure of the angle elevation

Answers

Answer:

The angle is [tex]\theta =27.84^o[/tex]

Step-by-step explanation:

From the question we are told that

   The height of the tree is  [tex]h = 47 \ ft[/tex]

    The length of the shadow is  [tex]L = 89 \ ft[/tex]

Generally applying SOHCAHTOA , the angle of elevation is evaluated as

     [tex]tan \theta = \frac{h}{L }[/tex]

=>  [tex]tan \theta = \frac{47}{89}[/tex]

=>  [tex]tan \theta = 0.52809[/tex]

=>   [tex]\theta = tan^{-1} [0.52809 ][/tex]

=>   [tex]\theta =27.84^o[/tex]

Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much cheese does she use for each pizza?

Answers

Answer:

2.5 ouces

Step-by-step explanation:

Answer:

2.5 or 2 1/2

Step-by-step explanation:

you do 10 divided by 4 because there are 4 pizzas and 10 ounces used in total.  and it equals 2.5 or 2 1/2

I need some help with my homework so may someone help me not in a rush just need this done

Answers

Answer:

-25

Step-by-step explanation:

First he bought 3 tires which total costed 105, then returned 2, so he got $70 back, meaning he had $35. Then he found 2 $20 bills, which raised his total to $75. Then, he bought a phone for $90, so he has -25 dollars left

what is $5.99 for 11 lb ?

Answers

Answer:

.54

Step-by-step explanation:

5.99 divided by 11

That means that you pay $5.99 for every 11 lbs.

Two burritos cost $14.00. Complete the table to show the cost for 4, 5, and 10 burritos at that rate. Next, find the cost for a single burrito in each case.
a) Complete the table.
b) What do you notice about the values in this table?

Answers

Answer:

4:28

5:35

10:70

Step-by-step explanation:

write the equation of the line using the given information. type your awnser in slope intercept form,y=mx+b​

Answers

Answer:

y=3/-1x+4

Step-by-step explanation:

Okay so first thing you need to know is that if there is an ordered pair (x, y) where x is 0, your y-intercept is your y. For example, your problem has (0, 4) your x is 0 and your y is 4. Therefore your y-intercept is 4 which is the b. To find your mx, or slope, you need to do (y2-y1)/(x2-x1). Your y2 will be your y in your second ordered pair and your y1 will be in your y in the first ordered pair. Same for your x. So, (4-1)/(0-1) which equals 3/-1. 3/-1 is your slope. So, your answer in slop intercept form is: y= 3/-1x+4. You could also try y= -3x+4 if that makes you more comfortable.

I know this is long this is my first time doing this lol.  

y varies directly as x. When x=3, y=5. Find y when x=4.

Answers

Answer:

y=6

Step-by-step explanation:

5-3=2

4+2=6

Answer:

~~~~

Step-by-step explanation:

MdlGGtqhwshshwhbq qdud1d7yqgd7twgz 7

Which of these is the quadratic parent function?
A. f(x) = x^2
B. f(x) = x
C. f(x) = 2^x
O D. f(x) = |x|

Answers

Answer:

The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.

So the answer is. A. f(x) = x^2

Thank you and please rate me as brainliest as it will help me to level up

The quadratic parent function is,

A. f(x) = x²

We have to given that,

All the functions are,

A. f(x) = x²

B. f(x) = x

C. f(x) = 2ˣ

D. f(x) = |x|

Since, We know that,

The parent function of the quadratic family is f(x) = x². A transformation of the graph of the parent function is represented by the function

g(x) = a(x - h)² + k, where a ≠ 0.

Hence, By option A,

A. f(x) = x²

As this function is in its base form so this is the parent function and this is the required correct option.

Therefore, The quadratic parent function is,

A. f(x) = x²

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Jerrod drove 210 miles in 3.5 hours. Martin drove 244 miles in 4 hours. Who drove at a faster rate of speed?

Answers

Martin drove at a faster rate of speed.

If Jerrod drove 210mi. in 3.5 hours, that'd be 60mph (mi./time)

If Martin drove 244mi. in 4.0 hours, that'd be 61mph (mi./time)

Hope this helps: If it did, please mark brainliest, give a thanks, and rate it five stars! [I'm two brainliests away from moving up!] Have an amazing rest of your day and stay safe! Let me know if you need anymore help! xx

The functions f(x) = (x + 1)2 − 2 and g(x) = -(x − 2)2 + 1 have been rewritten using the completing-the-square method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function

Answers

Answer:

The negative outside the parentheses indicates that the vertex is a maximum

f(x) has a minimum vertex

g(x) has a maximum

Step-by-step explanation:

PLEASE HELP MAJOR HELP DUE AT 12AM What happened to get to each step in solving the equation? 1x + x = 180 - 2 Step 1: = 180 – 2 Step 2: * = 180 Step 3: 3 = 72​

Answers

Answer:

First step: Combined like terms on left side

Second step: Combined like terms on both sides

Third step: Simplified y multiplying both sides by 2/5

Estimating Using Compatible Numbers
You purchase 3 items for $4.23. About how much did you spend?

Answers

9514 1404 393

Answer:

  about $12

Step-by-step explanation:

For estimating purposes, you often want to round numbers to 1 or 2 significant digits. The price $4.23 can be rounded to $4. Then 3 such items will cost about ...

  3×$4 = $12

You spent about $12.

_____

Additional comments

Along with an estimate, you often want to estimate the error in the estimate. Here, a first approximation of the error is that it is 3 × $0.20 too low. That is, the estimate of spending will be closer if we revise it upward by $0.60 to $12.60.

We know that even that estimate is low by $0.03 on each of the 3 items, so a better approximation of the spending is $12.60 +0.09 = $12.69.

This has accounted for all of the errors, so the actual spending was $12.69.

I’m marking brainliest and giving 30 points


Which variable is most important to the following problem?
At 9:54 a.m., a patient's temperature was 101.5 degrees. At 10:41, the nurse
took the patient's temperature again and found it was 105.8 degrees, the
highest ever recorded. How long did it take for the patient's temperature to
reach this record high?
O A. the number of minutes it took for the temperature to reach its
peak
O B. the date on which the previous high was recorded
C. the number of degrees that the temperature changed

Answers

Answer:

A

Step-by-step explanation:

The problem asks for how long it takes for the temperature to reach the record high, so the number of minutes it takes for the temperature to reach its peak is what's important.

Hope this helps!

I will mark as brainliest!!!
Rewrite as a simplified fraction.
0.67 = ?
7 is repeating

Answers

Answer:

61/90

Step-by-step explanation:

Plz help need asap will give BRAINLIEST and dont answer if you dont know


What is the distance of the line segment in the graph below?

12 units
13 units
15 units
17 units

Answers

Answer:

12 units

Step-by-step explanation:

count?

Over a two-day track meet, Jason ran in one 2‑kilometer race, two 1,500‑meter races, and five 100‑meter races. How many meters did Jason run over the two days?

Answers

Answer:

5500 meters

Step-by-step explanation:

1 * (2km) + 2 *(1500m) + 5*(100m)

Hope this helps

Express the ratio below in its simplest form.
2:6:4

Answers

Answer:

in simplest form, the ratio would be 1:3:2

May I have brainliest please? :)

To get this into simplest form you can find a number that all 3 numbers have in common. In this case, 2 can go into all numbers. You can divide each number by 2 to get 1:3:2!


what percent of 570 kg in 190 kg​

Answers

Answer:

300%

Step-by-step explanation:

Can someone please help me ASAP this is a major grade for me and I need help!!!




Complete this equation so that it has infinitely many solutions.
2(x-1/4)=6(1/4x-__)

Answers

Answer:I would but I’m clueless sorry

Step-by-step explanation:

9x-27y+9 with steps on how to get solution

Answers

Answer:

9 ( x − 3 y + 1 )

Step-by-step explanation:

Can u help me please

Answers

Answer:  y = 3x+18

Slope = 3

Y intercept = 18

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

Work Shown:

m = slope

m = (y2-y1)/(x2-x1)

m = (0-(-9))/(-6-(-9))

m = (0+9)/(-6+9)

m = 9/3

m = 3 ... is the slope

-------

y = mx+b

y = 3x+b .... plug in the slope

-9 = 3(-9)+b ... plug in the point (x,y) = (-9,-9)

-9 = -27+b

-9+27 = -27+b+27 .... adding 27 to both sides

18 = b

b = 18 ... is the y intercept

---------

We found that m = 3 is the slope and b = 18 is the y intercept

y = mx+b turns into y = 3x+18

3. Kiran walked at a constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles) that Kiran walks in i minutes? Show your reasoning.​

Answers

Answer:

C

Step-by-step explanation:

It is C because you get the equivalent from the t and that t is the number 1 so 15×1 is 15

The solution is Option D.

The equation is d = ( 1/15 ) t

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed of Kiran be represented as = s

Let the distance traveled by Kiran be = d

Let the time taken by Kiran to travel d distance be = t

Now , the value of d = 1 mile

The time taken by Kiran t = 15 minutes

So , the speed of Kiran s is given by the formula

Speed = Distance / Time

Substituting the values in the equation , we get

s = d/t

s = 1 / 15 miles / minute

So , the speed is 1/15 miles / minute

Now , the equation to represent the distance d Kiran walks in t minutes is given by

Distance d = Speed s x Time t

d = ( 1/15 ) t

Therefore , the value of d = ( 1/15 ) t

Hence , The equation is d = ( 1/15 ) t

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George hiked from the top of a hill to the valley floor. The elevation at the top of the hill is 127 feet above sea level. The valley floor is 52 feet below sea level. George stopped at a rest stop that is at an elevation exactly halfway between the top of the hill and the valley floor. What is the elevation, in feet, of the rest stop? I need someone to also explain how they got the answer ;-;

Answers

Answer:

[tex]Halfway = 37.5[/tex] --- above the sea level

Step-by-step explanation:

Given

[tex]Top = 127ft[/tex] --- above sea level

[tex]Valley\ Floor = 52ft[/tex] --- below sea level

Required

Determine the elevation at half way

To do this, we simply add the elevations of the top of the hill and the valley floor.

Then calculate the average by dividing the sum by 2

[tex]Total = Top + Valley\ Floor[/tex]

[tex]Total = 127 + (-52)[/tex]

Note that the negative sign represents below sea level

[tex]Total = 127 -52[/tex]

[tex]Total = 75[/tex]

At half way, the elevation is:

[tex]Halfway = \frac{1}{2} * Total[/tex]

[tex]Halfway = \frac{1}{2} * 75[/tex]

[tex]Halfway = 37.5[/tex] --- above the sea level

What is the GCF if 50 and 26

Answers

Answer:

0.0739644970414201

Step-by-step explanation:

it might seem weird but it is the answer

Purchase price: $6,052; sales tax: 8%; license and title fees: $260; down payment: $1,500; payments: $180.10 for 36 months.





Find the following:

Amount Financed = $

Total Installment Price = $

Finance Charge = $

Answers

Answer:imma cry

Step-by-step explanation:I need help

PLEASE HELP I'LL GIVE 30 POINTS

Answers

6) y-7 = -3(x+4)
y = -3x - 5

7) m= 1
y = x - 6

8) m= -3
y + 8 = -3(x - 1)
y = -3x - 5

PLZ ANSWER THIS AND PLZ DRAW A MODEL OF HOW U FOUND IT!!! I WILL MARK BRAINLIEST!!!

Answers

Answer: -24

Step-by-step explanation:

Answer:

I am not sure if you are supposed to draw a model but if you do then this is how it should look:

Q=amount of points

START:

FIRST TURN: QQQQQQQQ

SECOND TURN: QQQQQ lost 3

TOTAL AMOUNT OF POINTS: QQQQQ

Step-by-step explanation:

can y'all help pleasee​

Answers

Answer:

Step-by-step explanation:

Problem #1:

m: rise/run: 3/1

Slope : 2

y-intercept: (0,−3)

b: -3

Problem #2

m: rise/run: 3/1

y-intercept: (0,-1)

b: -1

please answer this question

Answers

Answer:

A: 77

Step-by-step explanation:

360 - 109 - 137 - 37 = 77

Jordan asked his classmates if their favorite kind of stories were funny stories. He drew a bar diagram to show the results of his survey.

[ Drop Down ] of Students Responded that funny stories are their favorites.
8%
20%
80%
100%

Answers

Answer:

80%

Step-by-step explanation:

dont want to go to deatals so i did it on the videos

Answer:

80

Step-by-step explanation:

Other Questions
What is a major difference between the Magna Carta and the code of Hammurabi? divide the polynomial 3x^4-6x^2-x/x= 6-11 LisaLisa has stuffed toy cats when she was younger. She had cat t-shirts and she liked to watch shows about them on TV. What she did not have was a cat of her own. Lisa asked for one for her birthday. Her mother was remodeling the kitchen, and said to wait. Lisa asked again later when the kitchen was finished. One again, her mother said she was too busy. The holidays were coming, and relatives would be visiting.Lisa was ready to give up on getting a cat. One day, her teacher told the students to read the newspaper. When she did, Lisa saw an ad that said there would be an adoption day at the animal shelter. They had cats, dogs, kittens, and puppies ready for loving homes. The animals would be out in front of the grocery store. The owner of the store had volunteered to host the event.Lisa remembered what day the adoption activity would be. That day she reminded her mother that they needed cupcakes. The cupcakes were for school, and her mother said she would go to the grocery store to get them. Lisa asked if she could go too. Her mother agreed and they headed off. Lisa was smiling the whole way there. Her mother would surely see the kittens and would want one.When they got to the store, Lisa did not say anything. She waited until her mother got close to the animals then asked if she could look at them. Lisa looked at a little black-and-white kitten. She asked to hold the kitten and petted it. She showed her mother how soft the kitten was. She asked if she could take the kitten home. Now she has a black and white kitten named News.QUESTIONS:1. Who liked cats in the story?2. How did Lisa try to get a cat at the beginning of the story?3. How did Lisa's mom respond to the request for a cat?4. What is another, unspoken reason why Lisa's mom might not want her daughter to have a cat?5. Why was Lisa ready to give up on getting a cat? 6. Why did Lisa see the ad in the paper about the pet adoption day?7. The pet adoption event was going to be able to held at a grocery store. What is one benefit of holding this kind of event at a grocery store?8. How did Lisa get her mom to go to the store on the day of the pet adoption event?9. Why do you think Lisa's mom finally let her get a cat?10. Why do you think Lisa named her kitten "News?"Write a 1 paragraph summary of the story "Lisa". The Giver Elements of Literature: CONFLICT Conflict results from two opposing forces in a story. Four common types of conflict are: Man vs. himself (internal) a character experiences conflict between forces within himself Man vs. man a character experiences a conflict with another person Man vs. nature a character struggles to overcome forces of nature Man vs. society a character struggles with elements of his society Complete the activity below. Identify which type of conflict is present and explain it. Use complete sentences and be thorough in your explanation. Example:Well . . . Jonas had to stop and think it through. If everythings the same, then there arent any choices! I want to wake up in the morning and decide things! A blue tunic, or a red one? He looked down at himself, at the colorless fabric of his clothing. But its all the same, always. Type man vs. society Explanation Jonas is frustrated with the restrictions and lack of choices placed on his life by the communitys structure. Effect Instead of just accepting the communitys rules, Jonas chooses to begin pushing against and breaking some of the rules"Climate control. Snow made growing food difficult, limited the agricultural periods. And unpredictable weather made transportation almost impossible at times." (Ch 12)TypeExplanation "Do you love me?" there was an awkward silence for a moment. "Precision of language, please!" Jonas's father replied." 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