If $2,000 is invested at 4% annual interest compounded quarterly, how long would it take for the account balance to reach $10,000? Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

40.2 years

Step-by-step explanation:

Use the compound amount formula A = P(1 + r/n)^(nt), in which n represents the number of compounding periods per year.  In this case n = 4.  Solve the following equation for t (years):

$10,000 = $2,000(1 + 0.04/4)^(4t):

This is equivalent to

          5   =  1.01^(4t).  Taking the natural logarithm of both sides, we get:

ln 5 = 4t·㏑ 1.01, or

    ln 5                 1.609

-------------- = t = -------------- = 40.2 years

4·ln 1.01             4(0.010)


Related Questions

Find the area of the figure

Answers

Answer:

88 cm²

Step-by-step explanation:

88 cm² is your answer

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Eli sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
314 visitors purchased no costume.
68 visitors purchased
exactly one costume.
17 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a fraction in simplest form.
Answer:
Submit Answer
attempt 2 out of

Answers

The probability that the next person will purchase exactly one costume is given by: 68/399

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The total number of visitors to the website is 314 + 68 + 17 = 399.

Out of these 399 visitors, 68 purchased exactly one costume.

Therefore, the probability that the next person will purchase exactly one costume is given by:

68/399

This fraction cannot be simplified any further, so the final answer is:

68/399.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

To visit the top of the Empire State Building, a ticket cost $ 4.00 in 1999. In 2009, the price rose to $ 20.00. What was the percent charge

Answers

Answer:

500%

Step-by-step explanation:

500% is 500/100 which is just 5*4=20

A square is drawn below. What is value of x

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The opposite sides of a square are parallel, therefore the given angles are equal by ( Alternate interior Angle pair )

[tex]\qquad \sf  \dashrightarrow \:4x + 5 = 2x + 25[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x - 2x = 25 - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 20[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 10[/tex]

Hence, correct choice is B

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Convert 68% As a fraction

Answers

Answer:

68/100

Step-by-step explanation:

It would be this because, with percentages, 100 is full. Therefore, we can just make 68 be out of 100. Hope this helps :)

Frank is surveying shoppers about their use of the new food court in a mall. Which question in his survey is a statistical question?

How many hours do you spend at the food court each month?
Where is the food court located in the mall?
How many restaurants are there in the food court?
Who is the manager of the food court?

Answers

Answer:

A  How many hours do you spend at the food court each month? is a statistical question

Step-by-step explanation:

Because that can have many answers unlike where is the food court in the mall? that question is not statistical because there can only be one answer and so are all the other ones.

Answer:

How many hours do you spend at the food court each month?

Step-by-step explanation:

I just took test got 100% this answer is correct

How many hours do you spend at the food court each month?

19. Given that angle BFC = 58°. Angle BXG = 48° and angle CBF 22 Find () 2BGX (iv) BCG (i) 2BGF (iv) ZBFG (ii) BCF H EE 58 48° D C 220 A- Figure 5.74​

Answers

The unknown angles in the cyclic quadrilateral is as follows:

∠BGX = 74° (sum of angles in a triangle)

∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 100°(sum of angles in a triangle)

∠BCG  = 26°

∠BFG = 22°

Cyclic Quadrilateral

A cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.

Let's find the missing angles as follows:

∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)

∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)

∠BCG = 100 - 74 = 26°

∠BFG ≅ CBF = 22°(alternate angles)

learn more on angles here: https://brainly.com/question/19430381

Re write the quadratic function in standard form y=(x+5)(x-2)

Answers

Answer:

y = x^2 + 3x - 10

Step-by-step explanation:

x*x + 5*x + -2*x + 5*-2

= x^2 + 3x + -10

PLEASE RATE!! I hope this helps!!

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

look at the picture i have attached and tell me what you think???

Step-by-step explanation:

parallel is two lines that go like this \\ or like this =

perpendicular is two lines that go like this +

which is it?

Answer:

they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2

Is the table a linear or exponential function?

Answers

The table represents linear because the x represent the exponential functions

100 points! need done asap

An unfair spinner has sections labeled 1 2 or 3 that are all twice as large as each of the sections labeled 4 5 or 6 Develop a probability model to describe all possible outcomes of one spin of the spinner

Answers

Answer:

look at the pic and stay safe!! hope it helps

Find the product. (6y - 2)2

A. 36y2 - 24y + 4
B. 36y2 + 24y = 4
C. 36y2 + 4
D. 12y2 - 16y + 4​

Answers

Answer:

A. 36y² - 24y + 4

Step-by-step explanation:

Use identity

(a ± b)² = a² ± 2ab + b²

Here we have a = 6y, b = 2

(6y - 2)² = (6y)² - 2(6y)(2) + 2² = 36y² - 24y + 4

Correct choice is A

CAN SOMEONE PLS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST

Answers

Answer:

C. 9 miles/gallon

Step-by-step explanation:

Answer:

Maybe 10? I'm sure though

Step-by-step explanation:

The Shah family basement floor is shaped like a tropezoidal. The basement has sides of 36 feet and 24 feet and two sides of 21 feet. They are going to carpet the basement. The carpeting will cost $35 per square yard. What is the area, in square feet, of the basement floor?​

Answers

The area in square feet of the the basement floor that is trapezoidal is  603.6 feet square.

Area of a trapezium

area = 1 / 2 (a + b)h

where

a and b are the base of the trapeziumh = height of the trapezium.

Therefore,

a = 24 ft

b = 36 ft

h² = 21² - 6²

h² = √405

h = 20.1246117975

h = 20.12 ft

Therefore,

area = 1 / 2 (24 + 36)20.12

area = 603.6 ft² = 67.066667 yard²

Therefore,

1 yard² = $35

67.1 yard² = ?

cost of carpeting = 35 × 67.1 = $2348.5

learn more on trapezium here: https://brainly.com/question/8591668

What is the perfect square of the root 3x^4

Answers

Answer:

the perfect square is 9x²

Step-by-step explanation:

√(3×)⁴

=(3x)²

=9x²

What is an equation of the line that passes through (0, 4) and (2,8)?

Answers

Answer:

y=2x+4

Step-by-step explanation:

Hi there!

We are given the points (0, 4) and (2,8)

We want to write the equation of the line that passes through these two points

There are 3 ways to write the equation of the line, but the most common way is with slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

So, to use this way, we need to find the slope of the line

The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We are already given the points needed to find the slope, but let's label them to avoid any confusion

[tex]x_1=0\\y_1=4\\x_2=2\\y_2=8[/tex]

Now substitute these values into the formula.

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{8-4}{2-0}[/tex]

Subtract

m=[tex]\frac{4}{2}[/tex]

Divide

m=2

The slope of the line is 2

Here is the equation of the line so far:

y=2x+b

Now we need to find b

As stated before, b is the y intercept of the line, which is the point in where the line passes through the y axis; the value of x at this point is 0

One of the points we were given earlier is actually the y intercept of the line; that point is (0, 4) *notice how x=0 at this point

The value of b is the value of y at the y intercept; in this case, the value of b is 4

Substitute 4 as b into the equation

y=2x+4

Hope this helps!

See more on this topic here: https://brainly.com/question/27172025

Express 100,000 as a power of 10

Answers

Answer:

10^5

Step-by-step explanation:
10 multiplied by itself five times (10*10*10*10*10) is 100,000.

l need help with this pls

Answers

Answer:

50°

Step-by-step explanation:

In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°

50 i did it and got a 100

For what values of x is x3+23x2+162x+360=0 a true statement?

Answers

Answer:

Step-by-step explanation:

x³+23x²+162x+360=0

x³+12x²+11x²+132x+30x+360=0

x²(x+12)+11x(x+12)+30(x+12)=0

(x+12)(x²+11x+30)=0

(x+12)[x²+6x+5x+30]=0

(x+12)[x(x+6)+5(x+6)]=0

(x+12)(x+6)(x+5)=0

x=-12,-6,-5

Please help and I'll mark brainliest ​

Answers

Answer:

the answer is 60

Step-by-step explanation:

brainliest please

Answer:

B.)   I'm not 100% sure

Step-by-step explanation:

Hope this helped

WHEN THE WHOLE IS THE SAME, HOW MANY 8THS DOES IT TAKE TO EQUAL 1\4. DRAW A MODEL TO SHOW YOUR ANSWER.

Answers

Answer: 4

Step-by-step explanation:

4 times 2 is 8 if you make 4 eighths you will get 1/4 a

It takes 2 eighths to equal 1/4
This is why:

Find the area of the trapezoid

Answers

It is 60. sans as a s abs
The area of a trapezoid is 60

insurance that pays for damages to houses or businesses is called

Answers

Answer:

Homeowners insurance

Step-by-step explanation:

Homeowners insurance is designed to protect your home from what are called "perils." A peril is your exposure to risk or something that causes loss or destruction. … Homeowners 2 (HO2): This policy protects your property against 18 perils (including 11 perils from Homeowners 1). Typical homeowners insurance policies offer coverage for damage caused by fires, lightning strikes, windstorms and hail. But, it's important to know that not all natural disasters are covered by homeowners insurance. For example, damage caused by earthquakes and floods are not typically covered by homeowners insurance.

. Find the angle between the given vectors to the nearest tenth of a degree. u = <2, -4>, v = <3, -8> (2 points)

Answers

Answer:

6.0

Step-by-step explanation:

practice many times

Jeremiah has a mailing cylinder for posters that measures 12 inches long and 8 inches in diameter. What approximate volume can it hold? Use 3.14 for pi. Do not round. SHOW YOUR WORK.

Answers

Answer:

The cylinder can hold 508.68 in³

Explanation:

The volume of a cylinder can be calculated using the following rule:

Volume of cylinder = πr²h cubic units

where r is the radius of the cylinder and h is its height

Now, we are given that:

height of cylinder = 18 in

diameter of cylinder = 6 in which means that the radius of the cylinder is 3 in

π is 3.14

Substitute with the givens in the above equation to get the volume of the cylinder as follows:

Volume of cylinder = πr²h

Volume of cylinder = 3.14 * (3)² * 18

Volume of cylinder = 508.68 in³

I need help with this question!

Answers

Answer:

B

Step-by-step explanation:

A container holds 4 gallons of lemonade. How much is this in pints

Answers

Answer:

i think I'd be / the answer is 46

A line passes through (-4, 7) and has a slope of 3/2

Write an equation in slope intercept form for this line

Answers

Answer:

please see the photo above

Which statements are true of continuous data?
It is used in pictographs.
It is used in line graphs.
It can be any value within a range.
It can only have certain values.

Answers

It is used in line graphs.

Answer:

It is used in line graphs.

It can be any value within a range.

Step-by-step explanation:

Line graphs use :

Track numerical data over time within any value range therefore it is considered continuous data.  

A  line graph is a way to display data (information) that changes over time using a series of points joined with a straight line.

The line along the bottom is called the horizontal or (x-axis). Use this line to show time, days, weeks, months , or years.

The line up the side is called the vertical or (y-axis) is the value being measured, it starts at 0 and number it in even increments ; separated by twos, fives, tens, or hundreds.

A deck of cards contains
52 cards. two decks
are put together, how
many cards will be left
over if 7 people divide
them evenly?

Answers

Answer:

6

Step-by-step explanation:

52+52=104
104/7=14.8

7*14=98
104-98=6

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