If a certain sum of money can become
5 times of its principal in 10 years, then
the rate of interest is​

Answers

Answer 1
So, you are asking at what interest rate will a sum of money double in 10 years.

Question, simple interest or compounded?

Simple interest accumulated on a sum for 10 years will double in 10 years with an interest rate of 10%. Now, if you want it to accumulate five times principle, the interest rate will have to be: P(i)(10)=5P. Modifying the equation, we could get: (i)(10)=5. Alas, (.5)(10)=5. 50% is the rate for simple interest.

However, we started out with an amount, and your question asks at what rate will our original investment increase to five times the original amount. So, our equation must be modified: P(i)(10)= 5(P)-P. So, working the equation, i (10)=5(P)-P/P. 5xP-P= 4(P)/P. To restate, i(10)+P=5P. Also, i(10)=4P. Further, i =4P/10. I = .4, or 40%.

As proof, if a sum earns 4 each year for 10 years, the product is 40. If the investment earns 4 per year, at 40% interest, that investment must be 10. 40+10=50.

Compounding, we will have the following equation: P(1+i)^10=5P. P(i)^10=5.

Modified, 5=1(i)^10. \/5^10= 1.1746. Subtracting 1, results in 17.46% interest rate. (1.1746)^10=4.999. 4.999(1)=~5.

Related Questions

.60 is what percent of 180? ​

Answers

Answer:

1.08

Step-by-step explanation:

.60% *180=108

108/100=1.08%

Answer:

108

Step-by-step explanation:

Container A and container B have leaks. Container A has 800ml of water, and is leaking 6 ml per minute. Container B has1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

Answers

Answer:

50 minutes

Step-by-step explanation:

First set up an inequality to find you answer like

800 - 6x = 1000 - 10x

then subtract 800 from both sides leaving you with

-6x = 200 - 10 x

Then add 10 x to both sides giving you

4x = 200

The simplify from here by dividing 200 by 4

200/4 = 50 giving you your answer

magazine subscription cost $29.88 for 12 issues or $15.28 for six issues which subscription cost more per issue

Answers

Answer:

$15.28 for 6 issues cost more

Step-by-step explanation:

$29.88 divided by 12 is $2.49

$15.28 divided by6 is $2.546

The graph below shows the elevation of three submarines during their first four minutes depending into the water which statement is true?

Answers

Answer:

ANSWER IS A I THINK

Step-by-step explanation:

PLEASE HELP!!


Sorry for all the tabes I'm working on a presentation at the same time.

Answers

Answer:

0.5

Step-by-step explanation:

use rise over run, from (-6,0) to (0,3) it rises 3 and runs 6. 3/6 = 1/2.

Answer:

the slope is two

Step-by-step explanation:

rise over run

Help. (Math) The following construction was performed. What distance did the compass have to be set to sweep the two arcs through point T?

1. RP

2. QR

3. QT

4. QP​

Answers

I think QT is the answer u need

Which of the following equations is equivalent to 30 = 2 ( -2x + 6

Answers

Answer:

30=-4x+12

Step-by-step explanation:

they both equal -9/2

A farm has 56 horses and sheep in all. There are 8 fewer sheep than horses. How many horses are there on the farm?

Answers

Answer:

32 Horses

Step-by-step explanation:

32-8=24

There are 32 horses and 24 sheep (As you can see there are 8 fewer sheep than horses)

I sort of guess and checked:

I tried to think of 2 numbers that added to 56 but one number was 8 less than the other one.I figured out that 32 and 24 fit this description :)

Help me plzzzzz
It’s late cuz I’m dum
8th grade math...

Answers

The answer is B

Hope this helps! i just learned this today lol

Wade picked 4 pints of blackberries. His friend, Matt, picked 6 pints. How
many pints did they pick altogether?

Answers

Together they picked 10 pints of blackberries.
10 pints in all , 4+6=10

Riley and Rhoda plan to buy several bags of dog food and a dog collar. Each bag of dog food costs $7, and the dog collar cost $5

Answers

Answer:

2bags= $14 + $5

3bags= $21+ $5

4bags= $28 + $5

5bags= $35 + $5

6bags= $42 + $5

multiply # of bags by 7

and add $5

If x= 12 and y=3, what is the value of x-y²?​

Answers

Answer:

3

Step-by-step explanation:

X=12 Y=3^2

Y^2=3x3 Which equals 9 therefore it is 12-9 which equals 3

Answer:

I believe the answer would be 3.

Step-by-step explanation:

I hope this helps

Find the unknown angle measure.

Answers

Answer:

x=22

Step-by-step explanation:

180-77=103

103+55=158

180-158=22

x=22

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The distribution of pH levels for all community swimming pools in a large county is approximately normal with mean 7.5 and standard deviation 0.2. According to swimming pool studies, the safest pH levels for water in swimming pools are between 7.2 and 7.8. (a) One community swimming pool in the county will be selected at random. What is the probability that the selected pool has a pH level that is not considered safe

Answers

Answer:

The  value is  [tex]P(A) =  0.133617[/tex]

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\mu =  7.5[/tex]

  The standard deviation is  [tex]\sigma  =  0.2[/tex]

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       [tex]P(A) =  1 - P(7.2 \le X  \le 7.8 )[/tex]

Here  

      [tex]P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma } <\frac{ 7.8 - \mu }{\sigma }   )[/tex]

Generally [tex]\frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )[/tex]

So

 [tex]P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z <\frac{ 7.8 - 7.5 }{0.2 }   )[/tex]    

 [tex]P(7.2 < X  < 7.8 ) = P(-1.5 < Z <1.5)[/tex]  

=>  [tex]P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5) [/tex]

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    [tex]P(Z <  1.5) =  0.93319[/tex]

and  

    [tex]P(Z <  -1.5) =  0.066807[/tex]

So

      [tex]P(7.2 < X  < 7.8 ) =0.93319 - 0.066807 [/tex]

       [tex]P(7.2 < X  < 7.8 ) =0.0866383[/tex]

So

   [tex]P(A) =  1 - 0.0866383[/tex]

=>  [tex]P(A) =  0.133617[/tex]

The probability that the selected pool has a pH level that is not considered safe pool is 0.1336

The given parameters are:

[tex]\mathbf{\mu = 7.5}[/tex]

[tex]\mathbf{\sigma = 0.2}[/tex]

Start by calculating the probability that a pool is safe.

This is represented as: P(7.2 < x < 7.8)

Calculate the z-scores for x =7.2 and 7.8 using:

[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]

So, we have:

[tex]\mathbf{z = \frac{7.2 - 7.5}{0.2} = -1.5}[/tex]

[tex]\mathbf{z = \frac{7.8 - 7.5}{0.2} = 1.5}[/tex]

So, we have:

[tex]\mathbf{P(7.2 < x < 7.8) = P(-1.5 < z < 1.5)}[/tex]

This gives

[tex]\mathbf{P(7.2 < x < 7.8) = P(z < 1.5) - P(z < -1.5)}[/tex]

Using z table of probabilities, we have:

[tex]\mathbf{P(7.2 < x < 7.8) =0.9332 - 0.0668}[/tex]

[tex]\mathbf{P(7.2 < x < 7.8) =0.8664}[/tex]

The probability that the pool is not safe is calculated using the following complement formula

[tex]\mathbf{P(Not\ Safe) = 1 - P(Safe)}[/tex]

So, we have:

[tex]\mathbf{P(Not\ Safe) = 1 -0.8664}[/tex]

[tex]\mathbf{P(Not\ Safe) = 0.1336}[/tex]

Hence, the probability that the pool is not safe is 0.1336

Read more about probabilities at:

https://brainly.com/question/11234923

PLEASE QUICK BRAINLISET

Answers

Answer: the answer is f

Answer:

F

Step-by-step explanation:

the measure of angle one must be equal to the measure of angle five and when doing the math I got x=34 plug that into the equation for angle five i got 48 and the same for plugging it into the equation for angle one.

It too Mrs. phillips 1.6 hours to run the 13.2 miles. What was his average speed

Answers

Answer:

13.2 miles/ 1.6 hours= 8.25 miles/hour.Mr. Phillips's speed was 8.25

Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students. On the final, 200 students have taken it with a mean score of 57 and a standard deviation of 6. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 65 is within one standard deviation of the mean.

Answers

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean  Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =  

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean  2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to  of the values.

Therefore, Scores between 72 and 90 =  

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =  

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

It is found that score of 62 is not within one standard deviation of the mean.

What is z - score?

The Z-score measures how many standard deviations the measure is from the mean. If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have  [tex]X \sim N(\mu, \sigma)[/tex]then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

In a set with mean and standard deviation, the z- score of a measure X is given by:

[tex]Z = \dfrac{X - \mu}{\sigma},[/tex]

Z-score, we look at the z-score table and find the p-value associated with this z-score.

Given that Mean score of 54 and a standard deviation of 6.

This means to see if a score of 62 is within one standard deviation of the mean.

Is Z between -1 and 1 when X = 62.

[tex]Z = \dfrac{X - \mu}{\sigma},\\Z = \dfrac{62 - 54}{6},[/tex]

Z = 1.33

Therefore, It is found that score of 62 is not within one standard deviation of the mean.

Learn more about z-score here:

https://brainly.com/question/21262765

#SPJ2

Susie walk 10 miles each week. she has already walked 3 miles this week and expects to walk 100 miles how long will it take her to walk 100 miles

Answers

Answer:

10 weeks

Step-by-step explanation: 100÷10=10

big brain

Answer:

9 week and 4 days

Step-by-step explanation:


LUCILLES PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR.
HOW MANY PENCILS WILL FIT IN HER POUCH. will give brainlist

Answers

Answer:

18

Step-by-step explanation:

You would divide 48 by 8 and multiply it by 3. Otherwise, you could do

3/8 = x/48

x * 8 = 3 * 48

x * 8 = 144

 /8        /8

x = 18

Simplify 2x^3 х 3x^2 ​

Answers

Answer:

ans = 6x4

Step-by-step explanation:

(2x2)(3x2)

first multiply the coefficients

(2*3) = 6

next multiply the variables

(x2*x2) = x2+2 = x4

productofcoeficients,productofvariables

= 6x4

7th grade math help me plzzzz

Answers

Answer:

b, c, f are coorrect inequalities

Step-by-step explanation:

hope i helped :D

an aquarium has display tanks that each contain 175 fish.how many fish are on display in 6 tanks

Answers

Answer:

1050 fish

Step-by-step explanation:

175(6 tanks) = 1050

Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?

Answers

Answer:

The percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.

Step-by-step explanation:

Let X represent the LDL levels.

It is provided that [tex]X\sim N(123, 41^{2})[/tex].

Compute the probability that a randomly selected individual is will have LDL levels 1 or more standard deviations above the mean as follows:

[tex]P(X\geq \mu+\sigma)=P(X\geq 123+41)[/tex]

                      [tex]=P(X\geq 164)\\\\=P(\frac{X-\mu}{\sigma}\geq \frac{164-123}{41})\\\\=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.16[/tex]

Thus, the percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.

what is eighteen and three fourths divided by two and a half?​

Answers

Answer:

the answer is 7.5

Before adding the following fractions, you need to find the common ? 2/3 + 1/6 =

Answers

Answer:

denominator

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

2/3×2/2 + 1/6

4/6 + 1/6

5/6

Anna is in a cave 42 feet below the cave entrance. She descends 10 feet, then ascends 15 feet. Find her new position relative to the cave entrance.

Answers

Answer:

Her new position is 37 feet below the cave entrance

Step-by-step explanation:

Let us solve the question

∵ The cave entrance is the zero position

∵ Anna is in 42 feet below the cave entrance

→ Below zero means negative

Anna is in -42 feet

∵ She descends 10 feet

Descend means negative

She is in -42 + -10 = -52 feet

∵ She ascends 15 feet

Ascend means positive

She is in -52 + 15 = -37 feet

→ -37 means she is in below the cave entrance by 37 feet

Her new position is 37 feet below the cave entrance

If 5% more than a is b, and b is 15% less than, what is the ratio of a to c? Please answer quickly.

Answers

You didn’t show the full question/picture

A survey of 1282 student loan borrowers found that 440 had loans totaling more than $20,000 for their undergraduate education. Give a 98% confidence interval for the proportion of all student loan borrowers who have loans of $20,000 or more for their undergraduate education. (Give answers accurate to 3 decimal places.)

Answers

Answer:

The 98% confidence interval of the proportion = (0.312, 0.374)

Step-by-step explanation:

(Give answers accurate to 3 decimal places.)

The formula for Confidence Interval of Proportion is given as:

p ± z × √p(1 - p)/n

Where p = Proportion = x/n

x = 440

n = 1282

p = 440/1282 = 0.34321372854

Approximately = 0.343

z = z-score of 98 % confidence interval

= 2.326

Confidence Interval =

= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282

= 0.343 ± 2.326 × √0.225351/1282

= 0.343 ± 2.326 × √0.00017578081

= 0.343 ± 2.326 × 0.01325823555

= 0.343 ± 0.03083865589

0.343 - 0.03083865589

= 0.31216134411

Approximately = 0.312

0.343 + 0.03083865589

= 0.37383865589

Approximately to = 0.374

Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)

In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned, x, according to the equation L(x) = 20 – 0.4x

Answers

Here is the complete question

1. State coordinates of x axis

2. State coordinates of y axis

3. State the slope

4. Graph the function

5. Is learning rate increasing or decreasing?

Answer:

1. (50,0)

2. (0,20)

3. Slope = -0.4

4. Check attachment for graph

5. Learning rate is decreasing

Step-by-step explanation:

1.

L(x) = 20-0.4x

20 = 0.4x

x = 20/0.4

x = 50

(50,0)

2

For y coordinate;

L(0) = 20-0.4(0)

= 20

(0,20)

3.

Slope,

Y = -0.4x+20

We compare with

Y = mx+c

m = -0.4

Intercept c = 20

4. Check attachment

5. The slope is negative at m = -0.4 therefore the rate of learning is on a decline. As number of words learnt increases, learning rate falls.

Answer:

Step-by-step explanation:

Choose all pairs of points that are reflections of each other across both axes.
A. (–4 1/2, 1) and (–1, 4 1/2)
B. (2.5, –1) and (–2 1/2, 1)
C. (4.2, –1) and (2.4, –1)
D. (1, –2.25) and (–1, 2 1/4)
E. (–2, 2 1/3) and (2, 2 1/3)

Answers

Answer:

c

Step-by-step explanation:

Answer: C

Step-by-step explanation:

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Choose the best Spanish translation.Do you need some papers?a. Necesitas unos papeles?b. Necesitas los papeles?c. Necesitas unas papeles?d. Necesitas unos papels? What is a colonial master(I will mark as Brainiest) please answers soon and answer correctly. What is the Wilmot Proviso? Why wasnt it successful? I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.a. Write an equation to represent this situation.b. What is my number? a- b forfor a= (-7) and b = 30 HELP ME ASAP PLEASE AHHHH (b) Factorise fully.10x+6x Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The distribution of pH levels for all community swimming pools in a large county is approximately normal with mean 7.5 and standard deviation 0.2. According to swimming pool studies, the safest pH levels for water in swimming pools are between 7.2 and 7.8. (a) One community swimming pool in the county will be selected at random. What is the probability that the selected pool has a pH level that is not considered safe What would be most likely to happen if the discount rate were raised?A. Depositors would make a run on a bank.thingB. Banks would make fewer loans.C. Creditors would refuse to pay back loans.D. Banks would stop opening savings accounts. Which situation represents aconstant rate of change of 50miles per hour?A 180 miles in 3 hoursB 300 miles in 5 hoursC 200 miles in 4 hoursD 100 miles in 3 hours Use the paragraph to answer the question.A team of biologists has been investigating fireflies to determine the cause of their declining population. Habitat loss is the most likely factor in the decline of the bioluminescent bug. Light pollution also plays a role. Excessive light disrupts the insects mating ritual.Write one to two sentences giving an example of technical language in this paragraph and explaining how it affects the overall meaning of the paragraph. LUCILLES PENCIL POUCH WOULD HOLD 3/8OF THE 48 PENCILS THAT SHE PURCHASED ATTHE BEGINNING OF THE NEW SCHOOL YEAR.HOW MANY PENCILS WILL FIT IN HER POUCH. will give brainlist ill give brainly :)))))) Read the following speech excerpt and then select the correct answer to the question below: President George W. Bushs speech to the troops on the USS Abraham Lincoln Our mission continues. Al-Qaida is wounded, not destroyed. The scattered cells of the terrorist network still operate in many nations, and we know from daily intelligence that they continue to plot against free people. The proliferation of deadly weapons remains a serious danger. The enemies of freedom are not idle, and neither are we. Our government has taken unprecedented measures to defend the homeland and we will continue to hunt down the enemy before he can strike. The war on terror is not over, yet it is not endless. We do not know the day of final victory, but we have seen the turning of the tide. No act of the terrorists will change our purpose, or weaken our resolve, or alter their fate. Their cause is lost. Free nations will press on to victory. Other nations in history have fought in foreign lands and remained to occupy and exploit. Americans, following a battle, want nothing more than to return home. And that is your direction tonight. After service in the Afghan and Iraqi theaters of war after 100,000 miles, on the longest carrier deployment in recent history you are homeward bound. Some of you will see new family members for the first time 150 babies were born while their fathers were on the Lincoln. Your families are proud of you, and your nation will welcome you. Which line from the text suggests the president believes the war effort has had successes but is not quite complete? Al-Qaida is wounded, not destroyed. Free nations will press on to victory. Americans, following a battle, want nothing more than to return home. Your families are proud of you, and your nation will welcome you. If 5% more than a is b, and b is 15% less than, what is the ratio of a to c? Please answer quickly. Container A and container B have leaks. Container A has 800ml of water, and is leaking 6 ml per minute. Container B has1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water? The following are the transactions for the month of July. 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