1) An $1,000 investment is made in a trust fund at an annual percentage rate of 12%, compounded monthly. How long will it take the investment to reach $2,000?

2)If a $100 deposit is made at a bank that pays 12% per year, compounded annually, determine how long it will take for the investment to reach $2000.

3)Kelly invests $5000 with a bank. The value of her investment can be determined using the formula Y=5000(1.06)^t, where y is the value of the investment at time t, in years. Approximately how many years will it take for Kelly's investment to reach $20,000?

4)$2000 is invested at 5% per year, compounded semi-annually. How long will it take for the investment to triple in value?

Answers

Answer 1

Answer:

33 years, 7 months

Step-by-step explanation:

Using the compound interest formula Accrued Amount = P (1 + r/n)^(nt)

where Accrued amount (A) is the expected future balance

A = $8000

P = principal; $5000

r = 1.4% = 0.014

t = number of years

n = number of times interest is compounded = 12 for monthly

Therefore

8000 = 5000 (1 + 0.014/12)^(12t)

Therefore

(1.001167)^12t = 8000/5000

(1.001167)^12t = 1.6

finding the log of both sides

12t x log 1.001167 = log 1.6

12t = log 1.6 / log 1.001167

12t = 402.98

t = 402.98/12

t = 33.58

hence time to increase the balance is 33 years, 7 months


Related Questions

Help me please I am so sad

Answers

Answer:B 8;45

Step-by-step explanation:

Answer:

Dont be sad :) The answer is B but give brainliest to the other person ʕ •ᴥ•ʔ

Step-by-step explanation:

The base of an isosceles triangle is 4/5. The perimeter of the triangle is 4\2\15 what is the length of either of the remaining equal sides

Answers

Answer:

  1 2/3

Step-by-step explanation:

Assuming you mean the perimeter is 4 2/15, the sum of the lengths of the two equal sides is ...

  4 2/15 - 4/5 = 4 2/15 - 12/15 = 4 -10/15

Then either of the remaining sides is half this value, or ...

  (4 -10/15)/2 = (4/2) -(1/2)(10/15) = 2 -5/15 = 1 10/15 = 1 2/3

Each of the remaining sides has length 1 2/3.

Which Part of the Angle is the Vertex?

Answers

Answer:

D  Point A

Step-by-step explanation:

The vertex is where the two sides of the angles come together

A is the vertex of the angle

Answer: D

Step-by-step explanation:

it will be point A!

Determine the final amount of an annuity where you invest $10,000 evenly over the course of 20 years annually at a 5% annual interest rate

Answers

Answer:

17359.63

Step-by-step explanation:

(0+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

=17359.63

simplify 3(-2a-4)+3a

Answers

Answer: -3(a+4) or -3a-12

Step-by-step explanation:

When you simplify, you want to use your order of operations.

-6a-12+3a

-3a-12

-3(a+4)

Answer: −3a−12

Step-by-step explanation:

Distribute:

=(3)(−2a)+(3)(−4)+3a

=−6a+−12+3a

Combine Like Terms:

=−6a+−12+3a

=(−6a+3a)+(−12)

=−3a+−12

I hope you learned your lesson please like me and heart me :)

Please help!! Im bad at this

Answers

Answer:

B

Step-by-step explanation:

This is proportional because the number of calories burned is directly proportional to the amount of time spent on the treadmill

16:07:48
marks:
Question: 1/20
The graph of which equation would be a circle with a center at
(2.3) and a radius of 7 ?
A. (x + 2y = (y - 3) = 7
B. (x - 2) = (y + 3) = 7
C. (x - 2y + (y + 3)2 = 49
D. (x - 2) - (y - 3)2 = 49
OB
Whats the correct choice?

Answers

Answer:

A. ( x + 2y = ( y - 3 ) = 7

maaf kalo salah

2. Sarah is training for a triathlon. She is planning her training schedule and wants to know how much she should run each week. Her choices are to run 2 ¼ miles three times each week or she can run 1 ¾ miles five times each week. She wants to choose the option with the longest total distance. Which option should she choose? Explain your thinking in numbers and words.

Answers

Answer: She should run 1 1/3 miles 5 times a week.

Step-by-step explanation:  I converted 3/4 to a decimal to have 1.75 and I multiplied it by 5 because that is how many times she will be running 1.75 miles in a week, I got 8.75. So that means if she runs 1.75 miles for 5 days she will run a total of 8.75 miles. Then I converted 1/4 into a decimal and now have 2.25, then I multiplied 2.25 by 3 and got 6.75. So I saw that 8.75 is greater than 6.75,

So the correct answer is: she should run 1 3/4 miles 5 times a week

Find the area of a circle with a diameter of 6.
Either enter an exact answer in terms of it or use 3.14 for I and enter your answer as a decimal.
units2

Answers

Answer:

A = 9pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

We know the diameter

r = d/2 = 6/2 = 3

A = pi (3)^2

A = 9pi

Answer:

[tex]28.26 \: \: {units}^{2} [/tex]

Step-by-step explanation:

[tex]area \\ = \pi {r}^{2} \\ = 3.14 \times 3 \times 3 \\ = 28.26 \: \: {units}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

At the market, 8 apples cost , 4$ How much do 9 apples cost?

Answers

Answer:

$4.05

Step-by-step explanation:

We must divide 4 by 8. We get 0.5. 0.5 stands for $0.5. Then we add 0.5 to 4, which equals $4.05.

Hope this helped :)

Which numbers are between 4 over 6 and 7 over 5

Answers

Answer:

21/30, 22/30, 23/30..........39/30, 40/30, 41/30

Step-by-step explanation:

Numbers between 4/6 and 7/5 are:

Making the same demoninator, which is 30 (LCM)

Therefore, now the new numbers are 20/30 and 42/30.  

Now,

the numbers between are 20/30 and 42/30:

21/30, 22/30, 23/30..........39/30, 40/30, 41/30

Hope it helps!

Mark as brainliest!

Thanks!!!

The midpoint of is point P at (−16,6). If point A is at (−10,8), what are the coordinates of point B? (−42,20) (−22,4) (−13,7) (2,−5)

Answers

Answer:

B (-22 ,  4)

Step-by-step explanation:

-16=(-10+x)/2

*2      *2

-10+x=-32

+10       +10

x=-22

6=(8+y)/2

*2      *2

12=8+y

-8    -8

4=y

so B(-22,  4)

The coordinates of point B is (-22, 4).

What are the Coordinates?

Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.

If we have the end points (x', y') and (x'', y'').

The mid point is ((x' + x'')/2, (y' + y'')/2).

Given that one of the end point A is at (-10, 8).

The mid point is at P(-16, 6).

Let the other point be B(x, y).

(-10 + x) / 2 = -16 and (8 + y) / 2 = 6

(-10 + x) / 2 = -16

⇒ -10 + x = -32

⇒ x = -32 + 10

⇒ x = -22

(8 + y) / 2 = 6

8 + y = 12

y = 12 - 8

y = 4

Hence the coordinate of the other point is B(-22, 4).

To learn more about Coordinates, click on the link :

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It takes 48 minutes for 7 people to paint 7 walls. How many minutes does it take 20 people to paint 20 walls?

Answers

Answer: 48 minutes

Step-by-step explanation:

If there are 7 people painting 7 walls, we can assume that 1 person is painting 1 wall. Altogether they can each paint in 48 minutes.

If there are 20 people painting 20 walls, it would also equal 48 minutes because each person can paint in that time.

Answer:

137 minutes.

2 hrs and 17 minutes

Step-by-step explanation:

The painting of each wall takes 6.85 minutes.

48 / 7 = 6.85.

therefore if there are 20 walls, it must take 20 people 2 hrs and 17 mins

20 x 6.85 = 137minutes.

The circumference of the hub cap of a tire is 76.87 centimeters. Find the area of this hub cap. Use 3.14 for pi. Use pencil and paper. If the circumference of the hub cap were​ smaller, explain how this would change the area of the hub cap.

The area of this hub cap is about

blank square centimeters.

Answers

Answer: The area of this hub cap is about  470.46  square centimeters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Circumference (C) = 2π radius

Replacing with the values given:

76.87 = 2 (3.14) r

Solving for r (radius)

76.87/ (2x 3.14) =r

r = 12.24 cm

To find the Area:

Area of a circle = π r^2

A = 3.14 (12.24)^2

A = 470.46 cm2

If the circumference of the hub is smaller, the area is also smaller because it means that the radius of the circle decreases.

Feel free to ask for more if needed or if you did not understand something.

what’s the slope for this equation ?

Answers

Answer:

The equation's Slope is -1

Answer:

the slope would be -1. The equation would be y=-x+1

Step-by-step explanation:

What is the perimeter of this title ? HURRY PLEASE !!

Answers

Answer:

The perimeter is 10

Answer:

10 inches

Step-by-step explanation:

A recipe requires 1/3 cup of sugar for every 3/4 cup of flour. How many cups of sugar are required for every cup of flour?

Answers

Answer:

4/9 cup of sugar

Step-by-step explanation:

[tex]\frac{1}{3} cup of sugar= \frac{3}{4} cup of flour[/tex]

[tex]? cup of sugar=1 cup of flour[/tex]

so crisscross them and finally you'll get

1/3*4/3=4/9

For 1 cup of flour, 4/9 cups of sugar is needed.

What are ratios and proportion?

Ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A statement expressing the equality of two ratios A:B and C:D is called a proportion. We can express proportion as -

A : B ∷ C : D

AND

A x D = B x C

Product of extremes equal to product of means.

Given is a recipe that requires 1/3 cup of sugar for every 3/4 cup of flour.

Now -

For 1/3 cup of sugar = 3/4 cup of flour is needed.

For 1 cup of flour = (1/3)/(3/4) cups of sugar = 1/3 x 4/3 = 4/9 cups of sugar is needed.

Therefore, for 1 cup of flour, 4/9 cups of sugar is needed.

To solve more questions on ratios, visit the link below-

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Are the ratios 14:12 and 3:2 equivalent

Answers

Answer:

No it isnt

12 divided by 6 is 2, that means 14 need to be divided by 6 as well. but 14 divided by 6 is not 3

Answer:

No

Step-by-step explanation:

3 is not a multiple of 14 so you see not.

Madison is thinking of a number.She states that the sum of her number , n,and 2/7,is equal to 3/4. write an equation that represents the situation

Answers

Answer:

Step-by-step explanation:

If it has really helped u plz don't forget to thank me plz...

Please answer CORRECTLY !!!!!!!!! Will mark BRAINLIEST !!!!!!!!!!

Answers

Answer:

I think it is 60

Step-by-step explanation:

I assume that the time of the launch is 0, so just plug in 0 for x.

Scott traveled and left his home on his bicycle and went 2 miles to the beach. The trip took him 15 minutes. He returned home the same way at a speed of 6 miles per hour. How many hours did it Scott take to get back home?

Answers

It took him 20 minutes to get home going 6 mph.

Please answer correctly !!!! Will mark BRAINLIEST !!!!!!!!

Answers

Answer:

x + 3 meters

Step-by-step explanation:

We know that the area of a rectangle is length times width, so if we call the length y, we'll get y * (x - 3) = x² - 9.

y = (x² - 9) / (x - 3)

y = (x + 3)(x - 3) / (x-3)

y = x + 3. Hope this helps!

Pls help me Is hard for me

Answers

Answer:

15

Step-by-step explanation:

3 yards in a ft, so 15 yards in 5 ft.

Answer:

15 feet.

Step-by-step explanation:

1 yard = 3 feet

5 yards = x feet

[tex]x=5 \times 3[/tex]

[tex]x=15[/tex]

i need examples of translating equations

Answers

here you go hope they work

Please help I will give you BRAINLIEST

Answers

Answer:   (-4, 3)

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

Explanation:

Starting at (4, -1) and moving four units up will have us arrive at (4, 3). We add 4 to the y coordinate and keep the x coordinate the same. The algebraic rule is stated as [tex](x,y) \to (x,y+4)[/tex].

Next, we reflect over the y axis. This will have us flip the sign of the x coordinate while keeping the y coordinate the same. The algebraic rule for this kind of reflection is [tex](x,y) \to (-x,y)[/tex]. The point (4,3) reflects over the y axis to get to (-4,3)

So we started at (4, -1), then moved four units up to get to (4,3) and then reflected over the y axis to get to (-4, 3) which is the final stop.

This is all shown in the diagram below.

The answer is 4, -3

Can someone please help me with this two please

Answers

Answer:

1. B

2. C

Step-by-step explanation:

1. In this, we already know one side and one angle are congruent. For the triangles to be congruent by SAS, another side is necessary. Thus CB = FE

2. Here, we see that one set of sides are congruent. We see another set of angles are congruent as well. We also know that the center angle is congruent as the angles are formed by two straight lines intersecting. Since we  see 2 next door angles and the side beside it congruent, they are proven congruent by AAS.

Mary drove to Birmingham Airport at 45 miles per hour for the first two hours and then at 70 miles per hour for the remainder of the journey. Her average speed for the entire journey was 60 miles per hour. How long did Mary's journey to Birmingham Airport take?

Answers

THE AVERAGE SPEED IS SET TO CONFUSE YOU.

Step-by-step explanation:

IF YOU SEE, THE AVERAGE SPEED YOU TAKE OUT WITH THE SPEEDS

INITIAL AND FINAL YOU ALREADY HAVE

v s (45 mi/h + 70 mi/h)/2 x 57.5 mi/h

ALMOST IS EQUAL TO 60 mi/h

AS FOR TOTAL TIME DISTANCE IS REQUIRED, WE KNOW  THAT MARY

TRAVELS FOR MORE THAN TWO HOURS, BUT WE DON'T KNOW  FROM

HOW FAR FROM THE AIRPORT MARY START DRIVING.  IT WON'T

TAKE THE SAME IF MARY DRIVES FROM MONTGOMERYI OR FROM

BUENOS AIRES, ARGENTINA.

Problem Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of $10\$10$10dollar sign, 10 from each of the subscribers to her website. Last month, the website had 100100100100 subscribers. This month, 30303030 new members joined the website, and 10101010 members cancelled their subscription. How much money will Kiersten's online business earn this month?

Answers

Answer:

$1200

Step-by-step explanation:

Every month, Kiersten receives a subscription fee of $10 from each of the subscribers to her website.

Last month she had 100 subscribers. This month, 30 new subscribers joined and 10 members canceled their subscription. The amount of subscribers she has now is:

100 + 30 - 10 = 120

This means that this month, Kiersten will earn:

10 * 120 = $1200

I need help with these two

Answers

the first one is A and the second one is C

There are 3 boys in a Class of 11 student
What ratio of all student in the class of girls?
What ratio of girls to boys?

Answers

Answer:

1) 11:8

2) 3:8

Step-by-step explanation:

Answer:

ratio of girls to all students = 8/11 = 8 : 11

ratio of girls to boys = 8/3 = 8 : 3

Step-by-step explanation:

total students - boys = number of girls.

11 - 3 = 8

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