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MA_775_DIABLO [31]
3 years ago
14

Paul has decided to set up his own recording studio. He needs to purchase four speakers at $435 apiece and two mixers at $772 ap

iece. 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.
Mathematics
2 answers:
KengaRu [80]3 years ago
4 0
A. paul can set up his studio and have $375 left.
Alona [7]3 years ago
4 0

Answer:

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

Step-by-step explanation:

Consider the provided information,

He needs to purchase four speakers at $435 a piece.

The total cost of four speakers is $435×4=$1740

He needs to purchase two mixers at $772 a piece.

The total cost of two mixers is $772×2=$1544

He also needs to soundproof a room, which will cost him $838.

Thus, the total money he needs to spend is:

$1740+$1544+$838=$4122

Paul has $4,500 in his savings account.

It is clear that $4500 is more than $4122.

$4500-$4122=$378

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

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Which expression shows a way to find 25% of 1000?
AlekseyPX

Answer:250

Step-by-step explanation:

25% of 1000

25/100 x1000

(25 x 1000)/100

25000/100=250

8 0
3 years ago
Coach Shaw is buying baseball equipment for his team. He gets a reduced rate if he buys 8 baseballs for every 3 batting helmets.
Natalija [7]

Answer:

Helmets-12

Baseballs-32

Step-by-step explanation:

Given the tax rate as 6% and the reduced prices as $2.25/baseball and $22.50/helmet and that the budget is $400:

The new prices are reduced price plus tax:

Baseball \ Price =2.25\times (1.06\%)=2.39\\\\Helmet \ Price= 22.50\times (1.06\%)=23.85

Let x be the number of groups of 8 baseballs as well as the number of groups of 3 helmets,therefore:

8x(2.39)+3x(23.85)=400\\\\19.12x+71.55x=400\\\\x=4.4116\\\\x\approx 4

Substitute for x=4 to find the highest number of baseballs and helmets:

Helmets=4x3=12

Baseball=4x8=32

#Price cost will be 12x23.85+32x2.39=362.68 (balance=37.32)

Hence, Shaw can buy 12 helmets and 32 baseballs and still remain with $37.32

3 0
3 years ago
How many solutions does the equation −3y + 3y + 4 = 4 have?
WARRIOR [948]
Infinitely amounts of solutions because -3y and 3y cancel each other out which means no matter what y is the outcome will always be 4.
7 0
3 years ago
Read 2 more answers
What is the cost for 1.4lb item that is $1.58 per pound?
algol [13]
1.4•1.58= 2.212 is your answer because if it cost 1.58 per pound and it is 1.4 lbs your answer will be 2.212
3 0
4 years ago
Which function f (x) , graphed below, or g (x) , whose equation is g (x) = 3 cos 1/4 (x + x/3) + 2, has the largest maximum and
Leya [2.2K]

Answer:

g(x), and the maximum is 5

Step-by-step explanation:

for given function f(x), the maximum can be seen from the shown graph i.e. 2

But for the function g(x), maximum needs to be calculated.

Given function :

g (x) = 3 cos 1/4 (x + x/3) + 2

let x=0 (as cosine is a periodic function and has maximum value of 1 at 0 angle)

g(x)= 3 cos1/4(0 + 0) +2

    = 3cos0 +2

     = 3(1) +2

     = 3 +2

     = 5 !

7 0
3 years ago
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