Suppose you invest $580 at 10% compounded continuously , write an exponential function to model the amount in your investment account ?

Answers

Answer 1
Answer: Interest=percent times rate(in years) times principal.
Or I=PRT
So you invest $580 so I=$580 Rate would be .10 and time would be 1 for one year. So if you put this into the formula you get
$580=P(.65)(1)
So $580=.65P so $580/.65=P so P is approximately $892.31 per year.

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In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.

Answers

Answer:

a) Which item’s price was reduced by more, and by how many dollars more was it reduced?

The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

$100 - $36 = $64

We are told the DVD cost $41.60 after the markdown.

Original cost of DVD =

$41.60/$64 × 100 = $65

Lets the original price of the Stereo player was $100

We are told the price was marked down to 22%

22% of $100 = $22

$100 - $22 = $78

We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

$69.42/$78 × 100 = $89

DVD = $65 - $41.60 = $23.40 less 

Stereo = $89 - 69.42 = $19.58 less

Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

Answer:

The answer is A on edg 2020

Step-by-step explanation:

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex. (2, 5), (6, 1), (4, –1)

A.
(0, 2)

B.
(0, 3)

C.
(1, 3)

D.
(1, 4)

Answers

The distance between (2,5) and (6,1) is:

\sf Distance = √(\left( 6 - 2 \right)^2 + \left( 1 - 5 \right)^2) \n\n  =√( 16 + 16) \n  \n = \boxed{\bf{4 √( 2 ) }}

The distance between the fourth vertex and (4,-1) should also be 4√2

The only point that gives us that distance is B. (0,3)

\sf Distance = √(\left( 4 - 0 \right)^2 + \left( -1 - 3 \right)^2) \n \n= √( 16 + 16) \n  \n = \boxed{\bf{4 √( 2 ) }}

Your final answer is B. (0,3)

Increase 48m by 20%? Help Please I'm Useless At Math<3

Answers

We have 48 meters.
We need to increase it by 20%.
That means we have 48 and then we increase it by 20%.

That can be expressed as:
48 + (48 * 20%)

Now, another way to write that would be:

48 * 120%

Now, 120% is nothing but 120/100. This can even be simplified to 1.2.

48 * 120%
= 48 * 1.2
= 57.6

48m increased by 20% is 57.6m.
You multiply 48m with 20% and add that to 48m.
20% can be written as 20/100.

48m*(20)/(100)+48m

(48m*20)/(100)+48m

(960m)/(100)+48m

9.6m+48m

{\boxed{57.6m}

Which answer is the solution set in simplest form 6x-1/5=3/1

Answers

6x - 1/5 = 3

Do the inverse operation.

6x - 1/5 = 3
     +1/5    +1/5

6x = 3 1/5

6x/6 = 3 1/5 /6

KCF:- Keep the first fraction, change the sign, flip the second fraction.

3 1/5 divided by 6/1

3*5 +1 = 15+1 =16

16/5 * 1/6

16*1 = 16
5*6 = 30

16/30 = 16/2 and 30/2
8/15

Final answer: x = 8/15
6x -  (1)/(5) =  (3)/(1) \n \n 6x -  (1)/(5) = 3 \n \n  6x = 3 + (1)/(5) \n \n 6x =  (16)/(5) \n \n x =  (16)/(5 * 6) \n \n x =  (16)/(30) \n \n x =  (8)/(15) \n \n Answer: \fbox {x = 8/15} \ or \ \fbox {x = 0.5333}

A circle has a radius of 11 cm. What is the approximate area of the circle? Use 3.14 to approximate pi. Write the answer to the nearest hundredth.

Answers

area of a circle is pi x r x r 
then you substitute the numbers in
therefore you would get 3.14 x 11 x 11 = 379.994
to the nearest hundredth degree would to 379 cm squared because you are finding the area so you put a small 2 above the cm
the person above has done it wrong as they have halved the radius but you only have the diameter to get the radius and they have used the wrong equation 

What is the maximum of the sinusoidal function?


Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

Given is a graph with more than 2 periods shown. The wave represents that it is the sine function.

From the graph we find that the graph gets its maximum at y=-2 and minimum at y =-6

Hence range =[-6,-2]

Amplitude = 2

There is no x intercept but y intercept =-4

Hence the possible equation would be

y = 2sin(bx+k)-4

for some real b and k

Since sine max value is 1, we have

Maximum value is 2-4 =-2

Hello from MrBillDoesMath!

Answer:

y = -2



Discussion:

From the graph the maximum value or "highest point" on the function  appears to be

y = -2

Thank you,

MrB