All categories

4 years ago

26. The cost of a television set has increased continuously by 2%. In 1999, the average

Mathematics

1 answer:

RUDIKE [14]4 years ago

8 0

Answer:

The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Cost of the TV set in 1999 = US$ 400

Annual increase rate = 2% = 0.02

2. Write an exponential model to represent this data.

Cost after n years = Cost in 1999 * (1 + r)ⁿ

where r = 0.02 and n = the number of years since 1999

Replacing with the real values for 2020, we have:

Cost after 21 years = 400 * (1 + 0.02)²¹

Cost after 21 years = 400 * 1.5157

Cost after 21 years = $ 606.28

The TV set costs $ 606.28 in 2020.

The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ

You might be interested in

Evaluate by using the Fundamental Theorem of Calculus. The

irga5000 [103]

Integrate term by term and then plug in bounds
6.7

7 0

4 years ago

Does not

Wewaii [24]

Answer:

Step-by-step explanation:

Hello!

Y varies directly with X, meaning that every time X increases/ decreases, the value of Y is modified.

If Y=12 when X=4 then you can say that Y varies 3 times every time X varies 1 unit

12= 4*z

z=12/4= 3

So Y= 3x

With this in mind:

1) x= 8

Y= 3*8= 24

2) x= 3

Y= 3*3= 9

3) Y= 6

Y= 3x

x=Y/3= 6/3= 1

I hope this helps!

5 0

3 years ago

Find the missing factor. 8x^2 - 15x + 7 = (8x - 7)( )

Leokris [45]

Answer:

Step-by-step explanation:

(8x - 7)(

The x^2 term has to come out to 8x^2.

The 8 is already there.

So your first term in the second factor is x.

(8x - 7) ( x

Now the question is what is the sign after the x. Since the question shows +7 the only way that can happen is if both signs in the factors are the same.

Since (8x - 7) has been given to you and you need 7 to come out plus, then the sign after x must minus. Both signs must be the same.

(8x - 7)(x -

Last, what comes after the minus sign? You already have a minus 7 so you need something to multiply by 7 to get seven.

That should be a one.

(8x - 7)(x - 1)

x - 1 is you answer. I leave you to check the middle term. It is - 15

6 0

3 years ago

IM CONFUZZLED>>>>>AGAIN!!!!!!!!!!!!

VARVARA [1.3K]

If you are cunfuzzled go to math way

3 0

3 years ago

Tires for Sale

ohaa [14]

Answer:

See explanation

Step-by-step explanation:

2,547 / 4 = 636.75 There are 636 stacks with 3 tires left over.

4 tires at 65 each = $260

4 tires at 2 for 120 = $240

He should buy 2 sets of 2 tires for $120 and save $20.

5 0

3 years ago