1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.

2.) Becky invest $2500 at an annual interest rate of 9%. How much is the investment worth after 10 years if the interest is compounded continuously.

3.) suppose $2000 is invested at 5.75% annual interest compounded continuously for 21 months. How much will the investment be worth at the end of 21 months.


Will mark as Brainlessly or whatever it’s called (if you take my points I will report) thank you so much:)

Answers

Answer 1

Answer:

$5809.17

$6149.01

$2211.72

Step-by-step explanation:

Continous interest formula:

(pv)e^(rt)

we have

5000e^(5*.03)= 5809.17

Same equation from before

2500e^(.09*10)= 6149.01

2000e^(.0575*(21/12))

(we write 21/12 because that's how many years has passed)

= 2211.72


Related Questions

Are 2.r = 4 and 4x + 5 = 13 equivalent? ​

Answers

Answer:

Yes, they are equivalent.

Step-by-step explanation:

2r = 4, r = 2. We get this because 4/2 = 2.

4x+5 = 13. Subtract 5 from both sides and we'll get  4x=8. Now divide 8/4 = 2.

So we get 2 = 2, which means that the expressions are equivalent.

Find k if the line y = kx-5 passes through the point (-6,14).

Answers

Answer:

19/-6

Step-by-step explanation:

y=kx-5 (-6, 14)

14=k(-6)-5

14=-6k-5

-6k=14+5

-6k=19

k=19/-6

For the system of inequalities, choose all the ordered pairs that are solutions.
7x + 3y < -24
2 + 3y <-6
(-3,-1)
(-4,-2)
(-1,-2)
(-6, -3)
(-9,-9)

Answers

(-4,-2) (-1,-2) (-6,-3) (-3,-1)

Sydney bought 5 books for $79.75. If each book cost the same amount, find the price of each book.

Answers

Answer:

15.95

Step-by-step explanation:

Hope this helps

Answer:

398.75

Step-by-step explanation:

I multiplied 5 by 79.75 and got 398.75

GIVING BRAINLIEST find the slope of the line perpendicular to the line graphed below

Answers

Answer:

Step-by-step explanation:

Slope of the line graphed=[tex]\frac{3-0}{0-(-2)}[/tex]

                                           =[tex]\frac{3}{2}[/tex]

The slope of the line perpendicular to the line graphed = -[tex]\frac{2}{3}[/tex]

How do you graph for the function Y= 3x-2

Answers

Go down to negative 2. Then go up 3 then to the right once. Hope this helped!

Tell whether the ratios form a proportion.
5
16.
24 15
a. Yes
b. No
c. Impossible to tell
3 12

Answers

5:16 is no
24:15 is no
3:12 is yes

7/6 x 2/5, then put in simplest form

Answers

Answer:

The answer would be 7/15 in the simplest form.

Step-by-step explanation:

Answer:

7/15

Step-by-step explanation:

7/6 x 2/5 = 7/15

Seven over fifteen can not be simplified. In decimal form, 7/15 can be written as, 0.66667.

If 18 is subtracted from twice the square of an integer, the
result is equal to nine times the integer. Find the integer.
[Only an algebraic solution will be accepted.]

Answers

Answer:

-3/2

Step-by-step explanation:

Let x = the integer:

2x^2 - 18 = 9x

2x^2 - 9x - 18 = 0

Now either factor that or use the quadratic formula if you're lazy like me.

x = -3/2 and 6, so x must be 6 because it has to be an integer.

graph this inequality x ≤ 4

Answers

Answer:

Step-by-step explanation:

Graphing this equality would shade everything including and to the left of the vertical line x=4.

Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities:
Europe Good Europe Bad
Asia Good 0.55 0.15
Asia Bad 0.20 0.10
That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth.
You have four possible courses of action:
• Introduce the product simultaneously in Europe and Asia.
• Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later.
• Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later.
• Abandon the product.
The NPV's of the various scenarios are as follows, in millions of US dollas
Immediate Introduction After one year
Good Bad Good Bad
Asia 120 -205 +117 -205
Europe +105 -200 +102 -200
For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.

Answers

Solution :

1. [tex]$P(\text{ good sales in Asia }) = 0.55+0.15$[/tex]

                                     = 0.7

2. [tex]$P(\text{ good sales in Europe }) = 0.55+0.20$[/tex]

                                     = 0.75

3. [tex]$\text{P(good sales in Asia }| \text{ good sales in Europe}) $[/tex][tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$[/tex]

                                         [tex]$=\frac{0.55}{0.75}$[/tex]

                                          [tex]$=\frac{11}{15}$[/tex]

4. [tex]$\text{P(good sales in Asia }| \text{ bad sales in Europe}) $[/tex]

  [tex]$=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$[/tex]

  [tex]$=\frac{0.15}{0.25}$[/tex]

  [tex]$=0.6$[/tex]

5. [tex]$\text{P(good sales in Europe }| \text{ good sales in Asia}) $[/tex]

   [tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$[/tex]

   [tex]$=\frac{0.55}{0.7}$[/tex]

  [tex]$=\frac{11}{14}$[/tex]

6.  [tex]$\text{P(good sales in Europe }| \text{ bad sales in Asia}) $[/tex]

     [tex]$=\frac{0.2}{0.3}$[/tex]

     [tex]$=\frac{2}{3}$[/tex]                              

Last year, Gareth paid £e each month for electricity. This year his monthly payment went down. His total bill for the first 5 months is given by the expression £5e – 35. Factorize 5e – 35.

Answers

Answer:

5(e-7)

have a nice day mate

We want to cover the poster with small stamps. We don't have any to begin with and we can't buy partial bags of stamps. Each bag of stamps 110.5 in covers . How many whole bags of stamps will we need to buy in order to completely cover the poster?

Answers

Answer:

2243.7?

Step-by-step explanation:

Answer:

not right i think

Step-by-step explanation:

why is it important to write equivilant fractions before renaming

Answers

Answer:

when y rename a fraction, you are finding fraction that have the same value but have different name. these are known as equivalent fraction you can rename fraction million of different ways...As long as you multiply numerator and denominator by same number, you will get and equivalent fraction...

Step-by-step explanation:

for example :5/2

5×2/2×2 , 5×3/2×3 , 5×4/2×4 , 5×5/2×5

ANSWER OF THESE EQUIVALENT NUMBERS ARE :

10/4 , 15/6 , 20/8 , 24/10 ....

Market researchers wanted to know whether the placement of a new product on a supermarket shelf significantly increases the percent of shoppers who will buy the product. At Supermarket X, a new product was placed on the top shelf, and at Supermarket Y, the product was placed one shelf below the top shelf. To observe buying habits, the researchers selected a random sample of 364 shoppers at X and another random sample of 327 shoppers at Y. Of the selected shoppers at X, 15 bought the product, and of the selected shoppers at Y, 19 bought the product. Which of the following is the most appropriate method for analyzing the results?

a. A two-sample z-test for a difference in sample proportions.
b. A two-sample z-test for a difference in population proportions
c. A one-sample z-test for a sample proportion
d. A one-sample z-test for a population proportion
e. A one-sample z-test for a difference in sample proportions

Answers

Answer:

a. A two-sample z-test for a difference in sample proportions

Step-by-step explanation:

We are told that there are two supermarkets in the research named X and Y.

That a random number of shoppers were selected in each supermarket.

Thus means we have two different sample proportion.. Since a different number of people were randomly selected from each supermarket and a different number of people purchased the product.

Thus, we will have 2 sample proportions one for supermarket X and the other for supermarket Y.

In addition, the position of the product was different in both supermarkets.

Thus, we can say that this is a 2 sample Z-test for difference in their sample proportion.

The option that is most appropriate method for analyzing the results is that a two sample z test for a difference in population proportions.

What is a two sample z-test?

A Two-Sample Z-test is known to be a kind of test that is often employed so as to make a comparison of the means of two samples to know and show if it is feasible that they are a product of the same population.

Conclusively, When a two sample z test is employed in the data given above, one can know and show the various difference that can be seen in population proportions.

Learn more about two sample z test  from

https://brainly.com/question/7191266

Penny reads 13 pages per 1/4 hour, how many hours does it take penny to read a page

Answers

Answer:

1/52 of a hour lol

Step-by-step explanation:

Answer: 1/52 hour

Step-by-step explanation:

9 - 2x is less than or equal to -5

Solve for X

Answers

Step by step operation

Find the exact length of the 3rd side 2 7

Answers

I believe the answer is 7.28

Adam's starting salary is $52,750 per year. He is told that his salary will increase to $66,475 at the beginning of 9 years. What is the rate of Adam's salary?

Answers

Step-by-step explanation:

chcjdhxh bdb jxnbshxjkqld gnnfncjfjejxjxcznenxjxjxjjcfkjefjrjrjrkufcnnxn mfkfmkekndj

help :( submit in simplest radical form :(

Answers

Answer:

y and x equal

[tex] \sqrt{5 } [/tex]

sin = opposite/ hypotenuse

sin 45° = x / √10

√10 sin 45° = x

x = √5

cosine = adjacent / hypotenuse

cos 45° = y / √10

√10 cos 45° = y

y = √5


both x = √5 and y = √5



Help me please. I don’t understand at all. I’m stressing. Like what?!?!?!

Answers

Answer:

z = [tex]\sqrt{117}[/tex]

Step-by-step explanation:

find 'y' first by using the altitude rule:

y/4 = 9/y

cross-multiply:

y² = 4(9)

y² = 36

y = [tex]\sqrt{36}[/tex] = 6

Find 'z' by using the Pythagorean Theorem with legs equal to 6 and 9

6² + 9² = z²

36 + 81 = z²

117 = z²

z = [tex]\sqrt{117}[/tex]

what is the solution f/4 = 12/5​

Answers

Step-by-step explanation:

cross multiply

4(12) = 5f

48 = 5f

48/5 = f

9 3/5

Graph the line passing through (6,−2) whose slope is m=−3

Answers

Answer:

Step-by-step explanation:

When you know the slope m of a line and a point (x₀,y₀) on the line, you can write an equation for the line in "point-slope" form:

y-y₀ = m(x-x₀)

In your case,

y+2 = -3(x-6)

The line is easier to graph if you rearrange the equation to solve for y:

y = -3x+16

You know that (0,16) is one of the points on the line.

Plot the two points that you know, (6,-2) and (0,16), then draw a line through them.

What is the slope-intercept form of the equation?

Answers

Answer:

y = 1/3x + 4/3

OR

y = 1/3x + 1 1/3

Hope this helps!! (Please give Brainliest if possible!!)


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

(1, -16) (2, -7)

(-7 + 16)/(2 - 1) = 9/1= 9

y + 16 = 9(x - 1)

y + 16 = 9x - 9

y = 9x - 25

PLZZ HURRY I am being timed
Henry divided his socks into five equal groups. Let s represent the total number of socks. Which expression and solution represent the number of socks in each group if s = 20?
A) StartFraction s Over 5 EndFraction; when s = 20, the number of socks in each group is 4.
B) StartFraction s Over 5 EndFraction; when s = 20, the number of socks in each group is 15.
C) s minus 5; when s = 20, the number of socks in each group is 4.
D) s minus 5; when s = 20, the number of socks in each group is 15.

Answers

Answer:

so for each group just multiply the number of socks in each group to 5 and = s

so

1. s = 4x5

s = 20

Step-by-step explanation:

A. S/5; when S=20, the number of socks in each group is 4.

Answer:

It's A

Step-by-step explanation:

Complete the last row for a different batch size that hasn’t been used so far in the table. Explain or show your reasoning.

Answers

vanilla x 2.5 = flour
for example: 10 x 2.5 = 25

if a spider is 35 mm long. how many centimeters long is the spider?

Answers

Answer:

It is 3.5 cm long

Step-by-step explanation:

1 cm = 10mm

So divide 35 by 10

what is the approximate area of the shaded sector in the circle shown below?​

Answers

Answer:

4,71cm3

Step-by-step explanation:

calculas el area del circulo. luego lo divides entre 360 que son los grados que tiene el circulo y luego lo multiplicas entre 60 k son los grados de la superficie que te pide

Answer:

B) 4.71 cm², the approximate area of the shaded sector in the circle shown below is 4.71 cm²

The area of a rectangular front yard is, 180 square feet find the length of the front yard if the width is 15 feet

Answers

Area = length x width
180 = L x 15
L = 180/15
Length = 12 feet
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