A financial institution offers a "double-your-money" savings account in which you will have $2 in 11 years for every dollar you invest today. What annual interest rate does this account offer? Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.G., enter 12.3 percent as 0.123).

Answers

Answer 1

Answer:

[tex]r=0.07[/tex]

Step-by-step explanation:

From the question we are told that

An offer of 2$ in 11 years on every dollar

Generally we make use of this formula

[tex]F=P(1+r/100)^t[/tex]

where

[tex]f=Future value[/tex]

[tex]P= present value[/tex]

[tex]r=Rate[/tex]

[tex]t=time[/tex]

Mathematically solving  for the rate

     [tex]2=1(1+r/100)^1^1[/tex]

    [tex](2)^1^/^1^1=(1+r/100)[/tex]

    [tex](1+r/100=1.0650[/tex]

     [tex]r=(1.0650-1) *100[/tex]

     [tex]r=0.07[/tex]

Generally this shows that the account give an annual rate of 0.07


Related Questions

Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms?
y=2x
2x+3y+16

A: 8x=16
B:4x=16
C:5y=16
D:6x=16

Answers

Step 1: Substitute y into the second equation 2x+3(2x)+16
Step 2: Add like terms
2x+6x+16= 8x+16
The answer would be A

help plzz i really need this

Answers

Answer:

Step-by-step explanation:

You need to multiply the amount of counselors by 8 to find the total amount to find the number of campers.

Answers: 32, 40

Answer:

32 & 40

I hope it will be useful.

Step-by-step explanation:

Look at the sequence. It follows the result to be 1:8

Thus, you have to multiply the numbers by 8 to get the denominators i.e., 4*8 & 5*8

PLEASE HELP ASAP ILL GIVE A LOT OF POINTS AND BRAINLIEST.

The slope of the table is:

Let x represent the number of acres and y represent the bushels of wheat. The equation for this relationship is:

Answers

Answer:

Y=28x

Step-by-step explanation:

Divide 420/15 224/8 140/5 which will equal 28 as the constant rate.

so, y=28x.    It would be y=kx but k =the constant so 28 will fill that spot in.

Y=28x

A new health drink has 120% of the recommended daily allowance (RDA) for a certain vitamin is 40 MG. How many milligrams of the vitamin are in the drink?

Answers

Answer:

We conclude that the number of milligrams of the vitamin in the drink will be: 48 mg

Step-by-step explanation:

The amount of certain Vitamin = 40 mg

Given that a new health drink has 120% of the recommended daily allowance (RDA) for a certain vitamin is 40 MG.

Thus,

The number of milligrams of the vitamin in the drink:

120% of 40

= [120/100] × [40]

= 1.2 × 40

= 48

Therefore, we conclude that the number of milligrams of the vitamin in the drink will be: 48 mg

find DC round to the nearest tenth

Answers

Answer:

42

we can use trigonometric ratios (cos, sin, tan) to solve this

[tex]cos(54)=AD/20\\20cos(54)=AD\\AD=12\\[/tex]

Using the pythagorean theorum we see that BD is 16

now we can use tan to solve for DC

[tex]tan(28)=16/DC\\DC=16/tan(28)\\DC=30\\30+12=42; AC=42[/tex]

Step-by-step explanation:

Step-by-step explanation:

30.53

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On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?

Answers

Answer:On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.

Step-by-step explanation:

−k+2(−2k−5) simplify

Answers

Answer:

-k-14

Step-by-step explanation:

Use distributive property and then just carry on and combine like terms.

Answer:

-5k - 10

Step-by-step explanation:

-k + 2 ( -2k - 5 )

= -k - 4k - 10

= -5k - 10

ldentify the parent function.
A. Square root
B. Absolute value
C. Reciprocal
D. Cube root

Answers

It’s B. Absolute value

bonsoir ce que vous pouvez m aidez
je cherche des fraction égale a 4sur16

Answers

Answer:

1 sur 4 est équivalent.

Step-by-step explanation:

J'espère que cela aide !! Puis-je avoir la couronne?

4/16 et être réduit à 1/4!

During second period, Kiera completed a grammar worksheet. Of the 90 questions, she got 70% right. How many questions did Kiera get right?

Answers

Answer:

we conclude that Kiera got the right 63 questions.

Step-by-step explanation:

Total questions = 90

The percentage of correct question = 70%

Using the formula

The number of correct questions = 70% of 90

                                                         = [70/100] × 90

                                                          = 0.7 × 90

                                                           = 63

Therefore, we conclude that Kiera got the right 63 questions.

solve pls i will give u brainliest

Answers

okay so first you need to divide it up, then you solve 8x10=80
2^2+5^2= 5
therefore the answer is 85

What is the common ratio for the sequence:
28, 14, 7, 3.5...

Answers

Answer:

r = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The common ratio r is calculated as

r = [tex]\frac{14}{28}[/tex] = [tex]\frac{7}{14}[/tex] = [tex]\frac{3.5}{7}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

1/2 is the common ratio of the sequence

Steven and Brittney are both starting lawn mowing businesses to save money to buy a dog. Steven charges $20 a yard and $6 an hour. Brittney charges $28 a yard and $5 an hour. How many hours will they need to work to have the same amount of money? If the cost of the dog is $300, who will be able to buy it first? Pick two correct statements only.
1. 8 hrs to have the same amount of money
2. 18 hrs to have the same amount of money
3. Brittney will be able to buy the dog first
4.Steven will buy will be able to buy the dog first

Answers

Answer:

https:brainly.com/question/20068899

PLEASE HELP 5 MINUTES LEFT!!!!

Answers

Answer:

(-3,1),(1,6),(-1,0)

Step-by-step explanation:

If one item cost $0.75 and I paid $2.25 at the register, how many items did I buy?

Answers

Answer: 3

Work: This is simple division, I just did $2.25 divided by $0.75, and I received the answer 3.

I hope this helps, and Happy Holidays! :)

Answer:

You bought 3 items.

Step-by-step explanation:

All we have to do is multiply $0.75, the amount of the cost of the item, by the amount that you paid.

So:

0.75 × 2.25 = 3

If m ∠ 1 = 101, what is the value of X?

Answers

The value of x is the value of x :)

a cylindrical tank is a diameter of 14 m and a height of 3.5 m find the capacity of the water tank in litres​

Answers

v=pi.r^2.h

v=3.14×7×7×3.5

v=538.51 cubic meter

1cubic meter=1000 litre

so v=538510 litre

Is it possible to construct a triangle with side lengths of 6 cm, 11 cm, and 13 cm? Why or why not?

A.
No, because 6 + 11 < 13.
B.
Yes, because 6 + 11 ≠ 13.
C.
No, because 6 + 11 = 13.
D.
Yes, because 6 + 11 > 13.

Answers

Answer:

B. Yes, because 6 + 11 ≠ 13.

Step-by-step explanation: So for this one, you have to add two numbers and if the third number is bigger it is a possible construct but if it less than the third number than it is not a possible construct. So 6+ 11 = 17 (its good so far) 11 + 13 = 24(its good so far) 13 + 6 = 19( its good so far) everything checks out that means B is right. And also it is not D because that is saying 6 + 11 is less than 13 which is wrong. Hope this helps someone :)

what is 30,000 rounded to the nearest ten thousand

Answers

Answer:

30,000_10,000=20,000

Consider the problem: After charging for 1/3 of an hour, a phone is at 2/5 of its full power. How long will it take the phone to charge completely? Decide whether each equation can represent the situation.

Answers

Answer:

Equation 2

is the answer

Step-by-step explanation:

To calculate the time for a full charge, you would divide the time already charged by the amount of charge:

1/3 / 2/5 = 1/3 x 5/2 = 5/6 of an hour for full charge.

You could use 2 and 4 to find the time.

Suppose you were told that the company built the fence in 4 hours and that they completed 1.6 mile of the fence each hour. How would you use the double number line to help you find the length of the fence?

Answers

Solution  :

It is given that the time required by a company to built the fencing = 4 hours

The length of fenced completed in 1 hour = 1.6 mile

Now by using the double number line to find the length of the fence, we would :

-- We have to draw two parallel straight lines.

-- Let the 1st line represents the time measured in hours and the 2nd line represents the distance or length measured in miles.

-- Mark four marks of equal spacing in both the line so that each mark represents 1 hour in the 1st line and each mark in the 2nd line represents the corresponding lengths.

-- Now in hour, they completed 1.6 miles, therefore from the double number line, we can see that in 4 hours, they completed 4.6 miles of fencing.

Hence the length is 4.6 miles.

The graph shows the solution of a system of equations.how many solutions does it have

Answers

Answer:

1

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

We will have 1 solution set when the lines cross once.

We will have no solutions when the lines are parallel.

We will have infinite solutions when the lines are the same.

According to the graph, we see that our lines only intersect once at 1 point. Therefore, there will be only 1 solution.

Answer:

1

Step-by-step explanation:

What is the slope of the line?

AS SOON AS POSSIBLE PLEASE!!

Answers

3/3 or it could be 1

Please help with both if you can!

Thank you!

Answers

Answer:

15). is done

16).

[tex]slope = \frac{ {y}^{1} - {y}^{o} }{ {x}^{1} - {x}^{o} } \\ = \frac{2 - ( - 2)}{ - 3 - 9} \\ = \frac{4}{ - 12} \\ slope = - \frac{1}{3} [/tex]

A wireless company offers two cell phone plans. For the month of September, Plan A charges $35 plus $0.25 per minute for calls. Plan B charges $20 plus $0.50 per minute for calls. For what number of minutes do both plans cost the same amount?

Answers

Answer:

60 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

For Plan A

Plan A charges $35 plus $0.25 per minute for calls.

$35 + $0.25 × x

35 + 0.25x

For Plan B

Plan B charges $20 plus $0.50 per minute for calls.

$20 + $0.50 × x

20 + 0.50x

For what number of minutes do both plans cost the same amount?

This is calculated by equating Plan A to Plan B

Plan A = Plan B

35 + 0.25x = 20 + 0.50x

Collect like terms

35 - 20 = 0.50x - 0.25x

15 = 0.25x

x = 15/0.25

x = 60 minutes.

Hence, the number of minutes that both plans cost the same amount is 60 minutes

Harry catches the train from Belfast to Dublin at 4pm. The average speed of the train is 70 mph and the distance between Belfast and Dublin is 105 miles. What time does Harry arrive in Dublin?

Answers

Answer:

[tex]Arrival\ Time = 5:30\ pm[/tex]

Step-by-step explanation:

Given

[tex]Current\ Time = 4pm[/tex]

[tex]Speed = 70mph[/tex]

[tex]Distance = 105miles[/tex]

Required

Determine the arrival time

First, we calculate the time taken from Belfast to Dublin using:

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute values to the expression.

[tex]70 = \frac{105}{Time}[/tex]

Cross Multiply

[tex]70 * Time = 105[/tex]

[tex]Time = \frac{105}{70}[/tex]

[tex]Time = 1.5\ hour[/tex]

Arrival time is then calculated as:

[tex]Arrival\ Time = Current\ Time + Time\ Taken[/tex]

[tex]Arrival\ Time = 4pm + 1.5\ hour[/tex]

[tex]Arrival\ Time = 5:30\ pm[/tex]

In the figure, and bisect each other. The length of is 12 centimeters and the length of is 11 centimeters. The length of is centimeters and the length of is centimeters.
HURRY LAST QUESTION ON TEST!!!

Answers

Answer:

11 and 12

Step-by-step explanation:

AD is opposite BC so they're equal, and DC is opposite AB so they're the same.

Answer:

11, 12

Step-by-step explanation:

plato answer just took test

Use the Pythagorean Theorem to find x
Round to the nearest tenth?

Answers

Answer: last option. 9.2

Step-by-step explanation:

The pythagoreon theorm tells us, a^2+b^2 = c^2. We can substitute these values, so 7^2 + 6^2 = x^2 => 49+36 = x^2 => root of 85. The root of 85 is 9.219 something so you can round 9.219 to 9.2.

Jacoby is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 5 bucket of nuts fills 2 over 3 of the barrel.

Write and solve an equation to find the number of buckets that will fill the entire barrel. Be sure to define your variable and show your work. Explain your answer in words. (10 points)

Answers

Answer:

You need 3/10 buckets of nuts to fill the barrel.

Step-by-step explanation:

We know that 1/5 of a bucket of nuts, fills 2/3 of the barrel.

Then how much we need to fill the other 1/3 of the barrel?

1/3 = (2/3)/2

Then we need half of 1/5 buckets of nuts, this is:

(1/5)/2 = 1/10 buckets of nuts.

Then we need in total:

1/5 + 1/10 buckets of nuts.

we can multiply and divide the left fraction by 2, to get:

(2/2)*(1/5) + 1/10 = 2/10 + 1/10 = 3/10

You need 3/10 buckets of nuts to fill the barrel.

Help look at the picture attached and I will mark brainliest !:)

Answers

Answer:

A = 1120

Max # of ppl = 80

Step-by-step explanation:

A = 28*40

A = 1120

Max # of ppl = 1120/14

Max # of ppl = 80

hope this helps, pls mark brainliest :D

Answer:

around 450

hope that helps,but you'll have to be there to fully answer that question

:)

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