The total cost to buy one bed and one sofa is $1,530. a bed
costs twice as much as a sofa. a wardrobe costs three times as
much as a sofa. if the shopkeeper sold 4 beds and 2
wardrobes today, how much money did he make?

By selling   4 beds and 2  wardrobes , the shopkeeper earns $7140.

Step-by-step explanation:

Here,  Let the cost of 1 sofa =  $m

Cost of 1 bed  + 1 sofa = $1530

⇒Cost of 1 bed   = $1530 - $m = 1530 - m

Also,   Cost of bed = 2 x Cost of Sofa

⇒ 1530 - m  = 2  m

or, 3 m =  1530

⇒ m  = 1530/3 = 510

Hence, the cost of 1 sofa = $510

Cost of wardrobe  = 3 x Cost of Sofa  = 3 ($m)

= 3 x ($510)  = $1530

So, from above equations:

Cost of 1 sofa = $510

Cost of 1 bed  =  $1530 -  m =  $1530  - $510 = $1020

Cost of 1 wardrobe =  $1530

Now, Total cost of 4 beds + 2 wardrobes

= 4 ( Cost of 1 bed) +  2 ( cost of 1 wardrobe)  

= 4 ($1020)  + 2(1530)  = 4080 + 3060

= $7140

Hence by selling   4 beds and 2  wardrobes , the shopkeeper earns $7140.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

6e14 is the answer.