Paul has decided to set up his own recording studio. He needs to purchase four speakers at $435 apiece and two mixers at $772 apiece. He also needs to soundproof a room, which will cost him $838. If Paul has $4,500 in his savings account, how close can he come to setting up his studio?a. Paul can set up his studio and have $378 left over.
b. Paul can set up his studio and have $410 left over.
c. Paul needs an additional $1,166 to set up his studio.
d. Paul needs an additional $296 to set up his studio.

Paul can set up his studio and have $378 left over.

Step-by-step explanation:

In order to setup his own recording studio, he needs to purchase four speakers at $435 apiece. It means that the cost of 4 speakers is

4 × 435 = $1740

He also needs to purchase two mixers at $772 apiece. It means that the cost of 2 mixers is

772 × 2 = $1544

He also needs to soundproof a room, which will cost him $838. Therefore, the total cost of all he needs is

1740 + 1544 + 838 = $4122

If Paul has $4,500 in his savings account, then Paul can set up his studio and have $378 left over because

4500 - 4122 = $378

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

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step-by-step explanation:

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