Answer:
15.5 15.25 15.75
Step-by-step explanation:
Material needed = πD x height
π x 3 x (3 x 12) //multiply by 12 to change the 3 feet to inches
= 339.29 in²
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Answer: 339.29 in²
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Answer:
First space: 15
Second space: 20
Third space: 0
Fourth space: 20
Step-by-step explanation:
If the florist decrease x times the value of the bouquet by 1, the number of bouquets sold is 30 plus 3 times x, so we have that:
P(x) = (20 - x)*(30+3x)
P(x) = 600 +30x - 3x2
The vertical axis of the graph represents the profit P(x) of the florist.
So observing the graph, we can see that the maximum profit is 675, and occurs when the value of x is 5, that is, the price of the bouquet is 20 - 5*1 = $15
Looking again to the graph, we see that when x = 20 her profit is zero (the price of each bouquet will be 20 - 20*1 = 0)
The interval of x for which the florist have a positive profit (P(x) > 0) is between x = -10 and x = 20, but the florist cannot make a negative number of one-dollar decrease, so the lower number in the interval should be 0.
Answer:
96
Step-by-step explanation:
The loan duration is for 8 years, a total of 12·8 = 96 monthly payments. The 96th payment is the balloon payment.
Let x = the shorter leg
2x + 6 is the longer leg
2x + 9 is the hypotenuse
We now do the Pythagorean Theorem of
Multiply out to get:
The
will cancel out each other when you combine like terms to get all the terms on one side of the equal sign.
Combine like terms with the rest to end with
Factor this to get
then set each factor equal to zero.
You end up with two solutions, x = 15 and x = - 3
HOWEVER distance cannot be measure in negatives so that answer will not work so x = 15. Now plug into our given information.
The short leg is 15 cm long.
The longer leg of 2(15) + 6 = 36 cm long
The hypotenuse of 2(15) + 9 = 39 cm long.
You can check your answers by plugging them into the Pythagorean Theorem again.