Compound Interest: You deposit $100 in an account that earns 3% annual interest compounded continuously. How long does it take the balance to reach the following amounts? (A = Pe^(rt). NO LINKS
a. $110
b. $150
c. $200

Answers

Answer 1

9514 1404 393

Answer:

  a) 3.18 years

  b) 13.52 years

  c) 23.10 years

Step-by-step explanation:

Solving for t, we find ...

  A = Pe^(rt)

  A/P = e^(rt)

  ln(A/P) = rt

  t = ln(A/P)/r

For P=100 and r=.03, the times are ...

a. $110: t = ln(110/100)/.03 ≈ 3.18 years

b. $150: t = ln(150/100)/.03 ≈ 13.52 years

c. $200: t = ln(200/100)/.03 ≈ 23.10 years


Related Questions

i nedd help im almost done
If yall give me the right answer I called the branly worker to give 1,000 points to right answers so try ya best!!!

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From What I understood, I need to find the area and perimeter of those shapes

Bolded words are answers

1. Triangle

Area

9*15=135

135/2=67.5

Perimeter

15+15=30

30+9=39

2. Pentagon

Area: 15.48

Perimeter: 15

Hope this Helps!

Compute the following: Subscript 8 Baseline C Subscript 8 a. 16 b. 0 c. 64 d. 1

Answers

The answer is c 64 because I know I did a

i think its D if im not mistaken....

There are twice as many students on Mr. Sneed's team as on Mr. Johnson's team. Together, they want to raise 360$ to buy uniforms. According to the size of their team, how much money should each team raise?

Answers

Answer:

go on MATH.WAY. it'll give you the answer and explanation

Step-by-step explanation:

I'LL MARK YOU AS BRAINLIEST IF ANSWER CORRECT


a bookstore charges h dollars for a hardcover book, p dollars for a paperback book, and m dollars for a music CD. During a sale the store reduces the cost of of a book by 20% and reduced the cost of music CD by $1. Enter an equation for the total cost, t, for buying 5 hardcover books, 8 paperback books, and 6 music CDs during the sale.​

Answers

The Equation to represent the "total-cost", "t", for purchasing "5 hardcover books", 8 "paperback-books", and 6 music CDs during the sale is t = 4h + 6.4p + 6m - 1.

The cost of the hardcover-book is = $h,

The cost of the paperback-books is = $p,

The cost for one music-CD is = $m,

In the sale, the price of each book is reduced by 20%, and

The price of music-CD is reduced by $1,

So, the cost of 5 hardcover books during the sale is:

⇒ 5h - 0.2(5h) = 4h     ...because 20% = 0.2;

and the cost of 8 paperback books during the sale is:

⇒ 8p - 0.2(8p) = 6.4p,

The cost of 6 music CDs during the sale is ⇒ 6m - 1;

So, the total cost, "t", for buying 5 hardcover books, 8 paperback books, and 6 music CDs during the sale is:

⇒ t = 4h + 6.4p + 6m - 1,

Therefore, the required equation of "total-cost" is t = 4h + 6.4p + 6m - 1.

Learn more about Equation here

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What is the value of x?

Answers

Answer:

[tex]21[/tex]

Step-by-step explanation:

Set up the following proportion and solve for [tex]x[/tex]:

[tex]\frac{27}{45}=\frac{x}{35},\\\\x=\frac{27\cdot 35}{45},\\x=\boxed{21}[/tex]

PLEASE ASNWER ILL GIVE BRAINLIEST

Answers

Answer:

8.6

Step-by-step explanation:

a^2+b^2=c^2

7^2+5^2=c^2

49+25=c^2

74=c^2

8.6=c

I really need help , someone please help :’( ... ill also make you brainlist.

Answers

Answer:

Step-by-step explanation:A)

13 miles in feet = 68640 feet

we now need to get the number of cars, we use division to get groups

68640 / 15 = 4576.

we now see there are 4576 cars in the traffic jam.

B)

Less, they are longer cars so the divosor would no longer be 15, it would be a higher number. 4576 cars would  not be able to fit in a 13 mile stretch if those cars were any longer.

The ages of customers in a shoe store at exactly two in the afternoon are shown in the stem and leaf plot below. Customers' Ages How many customers are under the age of 40? A. 15 B. 16 C. 10 D. 3

Answers

I do not see a plot

Answer:

A

Step-by-step explanation:

The volume of the cylinder is 13,665.28 cm³ and the height is 17 cm what is the radius

Answers

Answer:

V = π²h

r = √V/πh

r = √13,665.28cm³/(3.14)(17cm)

r =√13,665.28/53.38 cm

r = √256 cm

r = 16 cm

Write an inequality to represent the situation below:
A child can be a maximum of 50 pounds to play on the playground.

ANSWERS ONLY NO LINKS PLEASE!!!!

Answers

[tex]c\leq 50\\\\(c=child)\\\\Sorry \ if \ this \ didn't \ help \ you.[/tex]

Write the hourly wage 15 dollars an hour as a fraction

Answers

it can be written like this, hope this helps: $15/hour <3

The hourly wage 15 dollars an hour as a fraction is $15/1hr.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

There is a fraction, containing numerator(upper value) and denominator(lower value).

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.

A proper fraction is also called fraction which is less than 1.

And an improper fraction is ≥ 1

A mixed fraction contains a sum of whole number and a proper fraction.

Given;

wage of 1hour = $15

In fraction;

15dollars/1hour

Therefore, the answer in fraction will be 15/1

Learn more about fraction;

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If y varies jointly as x and z and y = 24 when x = 2 and z = 1, find y when x is 12 and z is 2.

A. 288
B. 48
C. 576
D. 144​

Answers

Answer:

288

Step-by-step explanation:

y= xkz

K= y/xz

= 24/2×1

= 24/2

= 12

y= xkz

= 12×12×2

= 288

Hence the value of y is 288

a hamburger shop sold 360 hamburgers and a number of cheeseburgers were sold was 3 times how many were sold on Sunday?​

Answers

Answer:

1080 cheeseburgers

Step-by-step explanation:

If the number of cheeseburgers are three times as many as the hamburgers, then 3x360, which is the hamburgers = 1080

I do not know what to do with the Sunday information, so perhaps the question is not complete.

Hope this helps!

every day amy travels 30 miles one-way to work. The park-and-ride where she catches the train is 5 miles from her home. The average speed of the train is 15 mph faster than the average speed in her car. assuming she has no wait time for the train, her one-way trip takes 45 minutes. Find the speed of the car.

Answers

Answer:

Speed= 0.6666667 miles per hour

Step-by-step explanation:

You can find the average speed of an object if you know the distance traveled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

3/8 x 2 what would the answer be to this statement

Answers

Answer:

6/16

Step-by-step explanation:

Wow! There are 51 rabbits. Round 51 to the nearest 10,

Answers

Answer:

it 50

Step-by-step explanation:

Answer:

The answer (I think) is 50.

Step-by-step explanation:

I'm a little cautious, just cause because this question seems so easy.‍♀️

51 is closest to 50, so 51 rounded to the nearest tenth is 50.

Could I be marked as Brainliest please???

The water level of a reservoir is 340 feet and that it is receding at a rate of 0.5 foot per day. In how many days will the water level be 26 feet?

THE RESERVOIR IS 340 FEET PEOPLE NOT 34. thanks.

Answers

Answer:

327 feet

Step-by-step explanation:

Plz help me well mark brainliest if you are correct!!....

Answers

A,C,B Is the correct answer
A,C,B should be right! Can I get brainliest!

Equations definitions

Answers

Answer:

Step-by-step explanation:

MEAN - a). Finds the mean of a numerical data set.

MIN - f). Finds the lowest value of a data set.

COUNT - c). Counts the number of values input for a highlighted data set

MEDIAN - d). Finds the middle value of a numerical data set

MAX - e). Finds the greatest value for a data set

SUM - g). Adds all the numbers in a highlighted range together

MODE - b). Finds the number that occurs most often in a highlighted data set.

13. Which of the following symbol stands for the margin of error?
A. E
B. Za/2
C.n
D.o
14. For a 95% confidence level, the confidence coefficient is ___?
A. 1.645
B. 1.96
C.2.33
D.2.585.
15.What do you call the value resulting from subtracting the margin of error from the sample mean?
A. point estimate B. interval estimate C. lower limit of the interval D. upper limit of the interval
For nos. 16-19
A survey on 200 HUMSS students of Bumasa Integrated High School shows that they read on an average of 15. 7 hour
per week. The margin of error is 2.2 hours at a 95% confidence level.
16. What is the sample mean?
A.200
B. 95
C. 15.7
D.2.2 8.
17. Which of the following values is the margin of error?
A.15.7
B. 2.2
C. 0.95 D. 0.05 9.
D.0.05 9.​

Answers

Answer:

13. A

14. B

15. C

16. B

17. C

Step-by-step explanation:

Please help me with this Math question.
Each win is worth 3 points.
Each draw is worth 1 point.
Each lose is worth 0 points.
Is 33 correct answer?

Answers

Answer:

33 is definitely the correct answer

VERY URGENT PLEASE HELP!!!!

Rafael's gas tank is 1/2 full. After he buys 9 gallons of gas, it is 4/5 full. How many gallons can Rafael's tank hold?

Answers

Answer:

30 Gallons

Step-by-step explanation:

Ok, lets see the difference the 9 gallons of gas did to Rafael's gas tank.

1/2 --> 0.5

4/5 --> 0.8

0.8-0.5 = +0.3

The tank was made 30% more full with the gas.

Next, we can use this to find the amount of gas which would need to be used to fully fill the tank, given that it was empty.

So to make it easier, say we filled it up a third of 30% to get an easier to work with 10% of fill of the gas tank.

9 / 3 ---> 3 Gallons

Now, multiply this by 10 to get the 100%

3 * 10 = 30 Gallons

All done!

you’re answers 30 gallons
hope this helps

here are 2 gold coins and 5 silver coins in Victor's coin collection. What is the ratio of the
number of silver coins to the number of gold coins?

Answers

Answer:

5:2

Step-by-step explanation:

Since we know both the number of silver and gold coins, we can put it in ratio form. Pay attention to the order; since it’s asking for silver to gold coins, the ratio would be silver:gold. We can substitute the 5 and 2 for the gold and sliver values, so we get 5:2. This answer cannot be simplified so it will stay the same.

y’all im struggling right now

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

probability of getting a number greater than 4 on a die, is 2 out of 6 or [tex]\frac{2}{6} = \frac{1}{3}[/tex]

probability  of getting an A on the spinner is [tex]\frac{4}{8}=\frac{1}{2}[/tex]

probability  of getting both is [tex]\frac{1}{3} *\frac{1}{2} = \frac{1}{6}[/tex]

Can someone answer this for me

Answers

Answer:

A

Step-by-step explanation:

Only a can be the answer

Answer:

A

Step-by-step explanation:

it's the only one that seems right

If $5,000 is borrowed at a simple interest rate of 4.70% p.a., calculate the interest charged for 7 months.

Answers

Answer:

Using a personal loan APR of 7.63% as an example, here's a simple breakdown of what the personal loan payment calculator can show you for a $5,000 loan and $10,000 loan.

Step-by-step explanation:

If you invest $2500 at a rate of 3.5%, how much money
will be in the account after 10 years if it is compounded
quarterly?

Answers

Answer: 3526.5

Step-by-step explanation: 2500(1+0.035)^10

Which equation represents a line that has a slope of 1/3 and passed through point (-2,1)?

Answers

Answer:

y=1/3x+5/3

Step-by-step explanation:

use the equation y=mx+b plug in slope for m, -2 for x and 1 for y


Help please I’ll give extra points

Answers

Answer:

105°

Step-by-step explanation:

The sum of all the interior angles of a triangle is equal to 180°. With that I. mind, we can write

(6x + 5) + (11x - 5) + x = 180

Collecting all similar terms, we get

18x = 180 or x = 10

They, the measure of angle Q is

Angle Q = 11x - 5 = 11(10) - 5

= 105°

The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180. The distribution of unrestrained compressive strength may be somewhat skewed. We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200. Test using α = 0.01.

Answers

Answer:

The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.

Step-by-step explanation:

We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.

At the null hypothesis, we test if the mean is at the design value of 3200, so:

[tex]H_0: \mu = 3200[/tex]

At the alternate hypothesis, we test if it is less than the design value of 3200, so:

[tex]H_a: \mu < 3200[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

3200 is tested at the null hypothesis:

This means that [tex]\mu = 3200[/tex]

The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.

This means that [tex]n = 50, X = 3120, s = 180[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]

[tex]t = -3.14[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.

With the help of a calculator, the p-value of the test is 0.0014

The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.

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