All categories

3 years ago

-UIVIT UUNNU INTEREST

Mathematics

1 answer:

Jobisdone [24]3 years ago

5 0

Answer:

Step-by-step explanation:

Principal, P = $4,000

Interest rate, r = 3% = 0.03

Period, t = 20 years

Number of times compounded in a year = 4

Amount , A = P( 1 + r/n)^tn

A = 4000( 1 + 0.03/4)^4*20

A = 4000( 1 + 0.0075) ^80

A =4000( 1.0075) ^80

A = 4000* 1.818

A = $7272.18

You might be interested in

There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot

Degger [83]

The number of bottles in a full box is 12.

Explanation

Suppose, the number of bottles in a full box is $x$

So, the number of bottles in three full boxes $=3x$

Now, two more boxes are added, both of which have one fewer bottle than the other three. So, the number of bottles in these two boxes $= 2(x-1)$

As there were 9 bottles initially and now there are 67 bottles in the fridge, so the equation will be....

$9+3x+2(x-1)=67\\ \\ 9+3x+2x-2=67\\ \\ 5x+7=67\\ \\ 5x=67-7\\ \\ 5x=60\\ \\ x=\frac{60}{5}=12$

Thus, the number of bottles in a full box is 12.

7 0

3 years ago

Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.

Darya [45]

Mean: 51.9
Median: 52
Mode: 49
Range: 6

3 0

3 years ago

Read 2 more answers

A movie theater has a 24-foot-high screen located 6 feet above your eye level. If you sit x feet back from the screen, your vi

pantera1 [17]

Answer:

The viewing angles are as follows:

For x=5 feet, θ = 0.529 radians

For x=10 feet, θ = 0.708 radians

For x=15 feet, θ = 0.726 radians

For x=20 feet, θ = 0.691 radians

For x=25 feet, θ = 0.640 radians

Step-by-step explanation:

The viewing angle is given as:

θ = tan⁻¹(30/x) - tan⁻¹ (6/x)

where x is the distance between you and the screen.

The question is asking us to find the viewing angle θ at various distances. The distance value needs to be substituted in the above equation in place of x. So,

For x=5 feet:

θ = tan⁻¹(30/5) - tan⁻¹ (6/5)

= 1.4056 - 0.8761

θ = 0.529 radians

For x = 10 feet:

θ = tan⁻¹(30/10) - tan⁻¹ (6/10)

= 1.249 - 0.540

θ = 0.708 radians

For x = 15 feet:

θ = tan⁻¹(30/15) - tan⁻¹ (6/15)

= 1.107 - 0.380

θ = 0.726 radians

For x = 20 feet:

θ = tan⁻¹(30/20) - tan⁻¹ (6/20)

= 0.983 - 0.291

θ = 0.691 radians

For x = 25 feet:

θ = tan⁻¹(30/25) - tan⁻¹ (6/25)

= 0.876 - 0.235

θ = 0.640 radians

5 0

2 years ago

Elena L [17]

Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:

$\displaystyle \lim_{x\to1} \frac{f(x)-f(1)}{x-1} = \lim_{x\to1} \frac{6x^2-x^3-5}{x-1} = \lim_{x\to1}(-x^2+5x+5) = 9$

Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is

y - 5 = 9 (x - 1)

y = 9x - 4

3 0

2 years ago

Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he

evablogger [386]

1) The population

Is the set of all the terms that the teacher taught this semester and which he wrote down on the note cards and put in the paper bag.

2) The sample is every set of five cards that is selected by each student.

3) I think the sample is representative because all ther terms have the same probability of being selected.

Further, given that the cards are replaced every time all the students will face the same population when they are going to select a sample.

7 0

3 years ago

Read 2 more answers