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defon
3 years ago
13

Shawn has been hired as a sales associate Horizon Mobile Phone Company, has twosalary options. He can eilther receive a fixed sa

lary of $750.00 per week or a salary of $400.00 per week plus an 8% commission of his weekly sales, which solution set among the options below represents the dollar amount of sales that he must generate each week in order for the option with commission tobe the better cholce?
Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

400(0.08)= T T + 400= Commission or C C • Weeks= X  $750 • Weeks= X  This is how to solve, I can help you further if you provide the options.

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There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough alum
stealth61 [152]

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

                    Volume of aluminium available is 1000 cubic centimeters

                    Shape of trophy is right square pyramid

                    Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

                     Formula for volume of right square pyramid,

                                               Volume, V = a^{2}\frac{h}{3}.....................................(1)

                     Where, a - Base edge value

                                  h - Height of pyramid

                      From given,

                                        a = 10 cm

                                        h = 13 cm

                      Equation (1) becomes,

                                           = 10^{2}(\frac{13}{3}  )

                                           = (100)(4.333)

                                           = 433.33 cm^{3}

             Volume of trophy = 433.33 cubic centimeters

             Compare with the volume of available aluminium and volume of right square pyramid,                          

            Volume of available aluminium > Volume of right square pyramid

                                               1000 cm^{3} > 433.33 cm^{3}

            So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

          The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

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