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Rus_ich [418]
3 years ago
8

Adam makes and sells birdhouses at local craft fairs. He has been selling about 36 each weekend if he charges $10.00 each. He ha

s found that if he raises his price to $12.00 he sells 6 less birdhouses each weekend. Each birdhouse costs him $3.00 to make. Find the price he should charge to maximize his revenue. Find the price he should charge to maximize his profit.
Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

The revenue for each is $360.

10 x 36 = $360

12 x 30 = $360

But the profits vary because:

36 x 3 = $108 <---- this is how much it costs to make 36 birdhouses.

30 x 3 = $90

360 - 108 = $256

360 - 90 = $270

Therefore, selling 30 birdhouses for $12 each weekend nets Adam a higher profit.

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Given the numbers c = –3 and d = 4, which statement is true? A. |–c| = 3 and |–d| = –4 B. |–c| = 3 and –|d| = –4 C. –|c| = –4 an
kirill [66]

<u>Answer:</u>

D. |–c| = 3 and –|d| = 4

<u>Step-by-step explanation:</u>

We are given these values of two variables and asked which of the statements in the given options is true:

c = –3 and d = 4

In mathematics, we know that the absolute value or modulus of a real number x is the non-negative value of x despite of whatever sign it has, positive or negative.

Therefore, the modulus of c  |–c| = 3 and modulus of  –|d| = 4 so option D is the correct one.

5 0
3 years ago
Evaluate the following expression . 2*[4+(12+16)/7
Nataliya [291]

Answer:

16

Step-by-step explanation:

2 \times (4 + (12 + 16) \div 7  \\ (12 + 16) = 28 \div 7 = 4 + 4 = 8 \\ 2 \times 8 = 16

3 0
2 years ago
Which of the following equations could be solved for a radius? Select all that apply.
zalisa [80]

Answer:

A = π · (r²)

Step-by-step explanation:

A =π · r² is the area of a circle.

While π · r² · h can also give you the radius, it can only do so for the Volume V, not the Area A.

V=lwh doesn't really apply for a circular object, as it requires the length and width. For circular objects, both are equal to the diameter of the object, and 2² · r² · h does not equal the Volume.

V= π · r³ seems awfully like the volume of a sphere, but there's something missing. The true volume of a sphere is V=\frac{4}{3} · π · r³, not V= π · r³.

A=\frac{1}{2}*b*h only applies for triangles.

3 0
3 years ago
Read 2 more answers
A first number plus twice a second number is 13. Twice the first number plus the second totals 14. find the numbers​
sashaice [31]

Answer:

the first number is 5 the second number is 4

Step-by-step explanation:

first number = x

second number = y

X+2y=13 given this isolate x  x = 13-2y

2x+y=14 substitute 13-2y for x

2(13-2y)+y=14

26-4y+y=14

-3y=-12

y=4 taking this number substitute into either equation above

x+2(4)=13

x+8=13

x=5

4 0
3 years ago
Antonio is going to the carnival. He can spend no more than $20.00. if the ticket to in is $7.50, and each ride cost $1.25, how
fgiga [73]
$20.00 ≥ 7.50+1.25x
subtract 7.50 from both sides
20-7.50=12.50
12.50=1.25x
12.50/1.25=10
x= 10 rides
6 0
3 years ago
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