7. Sean is deciding whether to select a satellite receiver or cable for his television programming. The satellite receiver costs $298.90 and the monthly charge is $68.70. With cable, there is no initial cost to purchase equipment, but the monthly charge for comparable channels is $74.80. After how many months will the total cost of the two systems be equal

After 49 months the total cost of the two systems will be equal.

Step-by-step explanation:

To Find: We need to find the number of months will the total cost of the two systems be equal

Solution:

For Satellite receiver:

Satellite receiver cost = $298.90

Monthly charge = $68.70

Let the Number of months be denoted by 'x'.

Now we can say that;

Total cost using Satellite receiver is equal to sum of Satellite receiver cost and Monthly charge multiplied by number of months.

framing in equation form we get;

Total cost using Satellite receiver =

For Using Cable:

Monthly charge = $74.80

So we can say that;

Total cost using cable is equal to Monthly charge multiplied by number of months.

framing in equation form we get;

Total cost using cable =

Now to find the number of months when both the cost will be the same so we will make both the equation equal we get;

Combining the like terms we get;

Dividing both side by 6.1 we get;

Hence After 49 months the total cost of the two systems will be equal.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

ljn

step-by-step explanation: