Addison is going to invest in an account paying an interest rate of 3.1% compounded continuously. How much would Addison need to invest, to the nearest dollar, for the value of the account to reach $910 in 18 years?​

Answers

Answer 1

Answer: $521

Step-by-step explanation:


Related Questions

Which expression is equivalent to 4{12 + 5} + 3?

Answers

Answer:

71

Step-by-step explanation:

9. The diameter of the Earth is 7899.83 miles from the North Pole to the South Pole and 7926.41 miles from opposite points at the equator.
a. Find the approximate surface area of Earth using each measure.
b. About 75% of Earth's surface is covered by water. Find the surface area of water on Earth, using the diameter of the Earth is 7926.41 miles from opposite points at the equator.​

Answers

Answer:

We could think of the Earth as a sphere, where the diameter of this sphere will the mean diameter between the measure from the North pole to the Soth pole and the measure from opposite points of the equator.

Remember that the mean between two numbers A and B is:

Mean = (A + B)/2

In this case, the mean diameter will be:

D = (7,899.83mi + 7,926.41mi)/2 = 7,913.115 mi

And we know that the surface of a sphere of diameter D is:

S = 4*pi*(D/2)^2

Where pi = 3.14

Then the surface of the Earth will be something like:

S = 4*3.14*(7,913.115mi/2)^2 = 196,618,601.47 mi^2

b) We know that 75% of the Earth's surface is water, now we will use the diameter 7,926.41 mi to compute the surface.

First, the total surface of the Earth will be:

S = 4*3.14*(7,926.41mi/2)^2 = 197,279,843.03 mi^2

And 75% of this is water, then the total water surface is 0.75 times that area, this is:

water surface = 0.75*197,279,843.03 mi^2 = 147,959,882.27 mi^2

If x= −5, which equation is true?
a] 2x−4= −14
b] 3(4−x)=3
c] 2(x−4)= −14
d] 3(10−x)=21

Answers

The answer is A] 2x -4 = -14

2(-5) -4 = -14
-10 -4 = -14
-14 = -14

What is the solution for the system below?
у
4
-2
0
2
4
4
(2,0)
(0-2)
0 (1-1)

Answers

Answer:

the solution is (1,-1)

Step-by-step explanation:

the lines meet at (1,-1)

help me please i dont understand

Answers

So since they mentioned tangent I am guessing you need to use sin and cosine.

Usually we use sin, cosine and tan when we have an angle and we need to find one of the sides (look at the picture below)

But since now we have the sides and we need to find the angle, we need to use something called sin inverse or arcsin.

X=sin^-1 (6/14)

Note: sin^-1 is the same as saying sine inverse same as saying arcsin.

If we use this it will give us the required angle..

X=25.377 or X=25.4 degrees

Please do yourself a favour and compare it to the one below...finding the sides (because in the case we have the angle and not the sides we don’t use sine inverse)

Which of the following DOES NOT equal 8%?

A.)0.08
B.)0.08
C.)8/100
D.)8.0%
E.)8.0%
F.)2/25
G.)4/5

Answers

Answer:

g

Step-by-step explanation:

8/100 is the same as 0.08 and 8,0% doesn't change and 2/25 is 8% as 1/25 is 4 so 2 would be 8 and it is g as 4/5 is 80%

PLEASE MAY I HAVE BRAINLIEST

True or False? If a number is divisible by 10 then it must also be
divisible by 5 and 2.

Answers

Answer:

true

Step-by-step explanation:

because in order for something to be divisible by 5 it has to end in an 0 or a 5

and for something to be divisble by 2 it has to end in a even number

Ryan and his brother, Russell, made photo frames for their grandma's birthday. They used shells they collected from the beach near her house. Ryan glued 9 white shells and 15 orange shells to the border of his frame. Russell glued 8 white shells and 10 orange shells to the border of his frame. Did the two frames have the same ratio of white shells to orange shells?

Answers

Answer: No. The two frames does not have the same ratio of white shells to orange shells.

Step-by-step explanation:

Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:

9/15 = 3/5

The ratio is 3:5

Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:

= 8/10 = 4/5

The ratio will be 4:5.

Therefore, the two frames does not have the same ratio of white shells to orange shells.

help me please 20 points!!!!!​

Answers

Answer:

20

Step-by-step explanation:

4x + 12x = 320

16x = 320

x = 320/16

x = 20

Help please I will mark u as brainliest

Answers

Answer:

The smallest angle is 80 and the largest angle is 180.

Step-by-step explanation:

Hope this helps! :D

Plz mark me as brainliest!

1/5+1/3 answer and 3/4-1/8

Answers

Answer:

1/5 + 1/3 = 8/15

3/4 - 1/8 = 5/8

a group of students organized a car wash to raise money for charity. The students charged 5$ for each car they washed. In 3 hours they washed 12 cars.At that rate, how many cars could they wash in 8 hours

Answers

Answer:

8hours=8/3×12=32cars

Step-by-step explanation:

Answer:

8hours=8/3×12=32cars

Step-by-step explanation:

Searches related to As part of a promotion, a local ice cream store is giving away free ice cream cones to the first 20 customers After that, ice cream cones cost $3.00 Is the store's profit proportional to the number of customers? Explain.

Answers

Answer:

Yes, store's profit is proportional to number of customers

Step-by-step explanation:

Yes, the profit is proportional to the number of customers.

Profit = Revenue - Cost = (Price x Quantity) -  Cost

Profit = (0 x 20) + (3 x q) - c(20+q) : Where q refers to quantity beyond 20, & c is average cost per unit

Profit = 3q - 20c - cq = (3 - c)q + 20c

As 20c is constant, component of equation has coefficient 'q' which stands for quantity of sales ie number of customers

Whats the error in this problem 19 - 2k = 3k - 1
+ 3k + 3k
19 + 1k - 1
- 19
- 19
k = - 20

Answers

Step-by-step explanation:

Just collect like terms. Follow the +ve and _ve signs as they go over the equation sign where they then become an inverse of themselves and use the signs to work

Solve the equation by completing the square.

2x^2+20x-63=3

Answers

The answer is that you can use your calculator in multiple things because it equals like four

Your friend estimated that it would take 5 hours to finish an art project. It actually took him 16 hours to finish the project. The amount of time it took to finish the project was blank percent of the estimated time. What does it mean to have more than 100% of something?

Answers

Answer:

like if you have a bowl of popcorn, it is probably gonna be more than 100% full.

Step-by-step explanation:

for the blank, it is 320% i believe

Answer and explanation:

Estimated time to finish the project = 5 hours

Actual time taken to finish the project = 16 hours

Therefore the amount of time/actual time it took to finish the project = 16/5*100/1= 320% of estimated time to finish the project

When something is more than 100 percent of a thing then it is bigger than that thing. For instance, If it took your friend exactly 5 hours to finish the project, then it took him 100 percent of the estimated time. If it took him more than that time, then it is more than 100 percent of estimated time.

Hence, 100 percent of a thing then it is equal to that thing, if more, 120 percent, then it is more or bigger than that thing. If less than 100 percent then it is less than that thing.

A two-digit positive integer x has the property that when 109 is divided by x, the remainder is 4. What is the sum of all such two-digit positive integers x

Answers

Answer:

The sum of the two digits integers which divide 109 with a remainder of 4 is 71

Step-by-step explanation:

The given parameters are;

109/x = Q + 4/x

Therefore, we have;

109 = Q·x + 4

∴ Q·x = 109 - 4 = 105

x = 105/Q

Therefore, x is a factor of 105

The possible two digits integers which x represents includes the two digit factors of 105 which are;

15, 21, and 35

Which gives;

15 × 7 = 105

21 × 5 = 105

35 × 3 = 105

The sum of the two digits integers which divide 109 with a remainder of 4 is 15 + 21 + 35 = 71.

Jordana drew the function below. Which statement correctly explains whether or not her function is linear?

On a coordinate plane, a parabola opens up.
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.

Answers

Answer:

It is not linear because it does not have a constant rate of change

Step-by-step explanation:

See attachment for Jordana's graph

From the attachment, it'll be observed that the graph has a curved line.

This means that the graph is not a linear and does not represent a linear function.

In functions, a linear representation has a constant slope (in other words, constant rate of change) while non linear representations do not.

So, since we've been able to establish that the graph is non linear, then we can conclude that the graph do not have a constant slope.

Base on the analysis above and from the list of given options, option (d) is correct.

Answer:

D

Step-by-step explanation:

credit to person above :)

have a nice day <3

Consider a political discussion group consisting of 8 ​Democrats, 4 ​Republicans, and 2 Independents. Suppose that two group members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting no Democrats

Answers

Answer:

The probability is 30/182

Step-by-step explanation:

The total number of people to select from is

8 + 4 + 2 = 14

We want to select two who are not democrats

Probability of selecting first one who is not a democrat will be 6/14

Probability of selecting a second who is not a democrat will be 5/13

So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182

A small ice cream shop sold 120 ice cream cones last weekend. It sold 42 vanilla cones, 53 chocolate cones, and 25 strawberry cones. What angle measure should be used for chocolate cones in a circle graph of the data?

Answers

Answer:

acute i think??

Step-by-step explanation:

Answer:43.3

Step-by-step explanation:

38.3 cm
Р
0 12.6 cm R

Answers

Answer:

Step-by-step explanation: F 50.9 cm (H 25.7 cm. G 46.3 cm. -38.3 cm. G 46.3 cm. 921.3 cm. Ø 12.6em Å ... Р. 3 - с. 2, +6:48 348 р. 8. Find the distance between P(2, 8) and Q15, 3). F9 ... REVIEW VOCABULARY!!!!! R=0 tre of the two angles. Atab=180. 2 ДО - Чx 49.

If the two triangles shown below are congruent, select the corresponding 1 point
postulate that proves they are congruent. If the triangles are not
congruent, select not congruent. *

Answers

Answer:

SSS

Step-by-step explanation:

The two triangles both share a side (the middle line), and it is shown that the other lines are congruent to each other. So all 3 sides are congruent, meaning SSS is the postulate that proves this.

geometry help please :)

Answers

Answer:

Medium to Line AC

Altitude to Line AC

Bisector of Angle B

Perpendicular bisector of Line AC

Step-by-step explanation:

We can tell that the Medium here is from line AC to angle B. The line is connecting the angle to the middle of the line, making it the medium and altitude. It is also a bisector of angle B because it is directly in the middle of that angle. It is a perpendicular bisector to line AC because it forms a 90 degree angle on the bottom.

#teamtrees #WAP (Water And Plant)

What is 345 divied by 189 remander2

Answers

Answer:

37

4 remander

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 5 on the left side and the dividend 189 on the right side like this:

           

   5 ⟌ 1 8 9

Step 2:

The divisor (5) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

   5 ⟌ 1 8 9

Step 3:

Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.

       0    

   5 ⟌ 1 8 9

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

   5 ⟌ 1 8 9

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       0    

   5 ⟌ 1 8 9

     - 0    

       1 8  

Step 6:

The divisor (5) goes into the bottom number (18), 3 time(s). Therefore, put 3 on top:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

Step 7:

Multiply the divisor by the result in the previous step (5 x 3 = 15) and write that answer at the bottom:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

       1 5  

Step 8:

Subtract the result in the previous step from the number written above it. (18 - 15 = 3) and write the answer at the bottom.

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3  

Step 9:

Move down the last digit of the dividend (9) like this:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

Step 10:

The divisor (5) goes into the bottom number (39), 7 time(s). Therefore put 7 on top:

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

Step 11:

Multiply the divisor by the result in the previous step (5 x 7 = 35) and write the answer at the bottom:

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

         3 5

Step 12:

Subtract the result in the previous step from the number written above it. (39 - 35 = 4) and write the answer at the bottom.

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

     -   3 5

           4

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 189 divided by 5 calculated using Long Division is:

37

4 Remainder

Pls help. Due in 15 mins

Answers

Answer:

D. the number of dogs in the shelter compared to the number of cats in the shelter.

Noah is solving an equation, and one of his moves is unacceptable. Here are the moves he made.

Which answer best explains why the “divide each side by step” is unacceptable?

a. When you divide both sides of 2x = 6x by X you get 2x² = 6x²

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

c. When you divide both sides of 2x = 6x by x you get 2 = 6x.

d. When you divide both sides of 2x = 6x by x it could lead us to think that there is no solution while, in fact, the solution is x = 3

Answers

Answer:

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Step-by-step explanation:

The solution is correct up to the step 2x = 6x

2x = 6x

Subtract 2x from both sides.

0 = 4x

Divide both sides by 4.

x = 0

You cannot divide both sides by x since x could be zero, and in fact, it is.

Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

The correct option is (b) When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

2(x + 6) - 4 = 8 + 6x

After simplifying the above linear equation in one variable:

2x = 6x

The correct steps are:

6x - 2x = 0

4x = 0

x = 0

When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Thus, the statement best explains that “divide each side by step” is unacceptable" is When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Solve the Proportion: 3/8 = x/12

Answers

x = 9/2

Get variable on one side of equation and solve"

x/12 = 3/8

x = (3/8)(12)

x = 9/2

X=9/2???????????Is It Right

can someone help me‼️

Answers

Answer:

55°

Step-by-step explanation:

180° - 125° = 55°

so angle 2 is 55 degrees

I think the answer is 55 degrees

At what point does the row and column shaded in Problem 5 intersect?





Need the answer too 6

Answers

Answer:

C3

Step-by-step explanation:

intersect mean to cross. the row and column cross at c3

6. Solve the following equation for y.
3x - 4y = 6

Answers

Answer:

3x−4y+−3x=6+−3x

−4y=−3x+6

Step 2: Divide both sides by -4.

−4y

−4

=

−3x+6

−4

y=

3

4

x+

−3

2

Step-by-step explanation:

Answer:

y = 0.75x - 1.5

Step-by-step explanation:

3x - 4y = 6

-4y = -3x + 6

y = 3/4x - 6/4

y = 0.75x - 1.5

hope this helps, pls mark brainliest :D

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