Answer:
The profit margin for the concert sponsorship is 31.3725 %
Step-by-step explanation:
An arena receives for 1 event = $1700
An arena receives for 12 events = 
An arena receives for 12 events = 20400
The costs for this sponsorship total $14,000
Profit = 20400-14000
Profit =6400
Profit margin =
Profit margin = 
Hence the profit margin for the concert sponsorship is 31.3725 %
We have the following dimensions:
w=wide
w+70=length
We have a right triangle:
leg₁=w
leg₂=w+70
hypotenuse=130
Pythagoras theorem:
leg₁²+leg₂²=hypotenuse²
Then:
w²+(w+70)²=130²
We have to solve that equation:
w²+(w+70)²=130²
w²+w²+140w+4900=16900
2w²+140w+4900-16900=0
2w²+140w-12000=0
(2w²+140w-12000)/2=0/2
w²+70w-6000=0
w=(-70⁺₋√(4900+24000)) / 2
=(-70⁺₋170) / 2
We have two possible solutions:
Solution 1
w=(-70-170)/2=-120 (this solution is not possible because the result is negative and it have no sense in this problem).
Solution 2
w=(-70+170)/2=50 (this is the right solution)
w=50
w+70=120
ANSWER: the length would be 120 u (u=units of length ) and the wide would be 50 u.
Answer:
576 cm^3
Step-by-step explanation:
Express this volume formula as V = π r^2 h, where the " ^ " symbol indicates exponentiation. Substitute 4 for r (this is half the diameter), 12 cm for h, and 3 for π: V = 3*(4)^2*12 cm^3, or V = 576 cm^3.
Part 1:
From the table, in week 1, the price increased by $1.25, in week 2, the price decreased by $3.125, in week 3, the price increased by $0.625 and in week 4, the price increased by $1.5
After the 4 week the change in price is given by 1.25 - 3.125 + 0.625 + 1.5 = 0.25.
Therefore, the price changed over the 4 weeks period by $0.25.
Part 2:
After the 4 week the change in price is given by 1.25 - 3.125 + 0.625 + 1.5 = 0.25.
Therefore, the price increased over the 4 weeks period.
Part 3:
Given that the price of 1 gram of gold was $39.28 at the end of week 4. since the price of 1 gram of gold increased by $0.25 over the 4 weeks period, the price of 1 gram of gold at the beginning of week 1 is given by:
39.28 - 0.25 = $39.03
for the above question, we can first convert the fractions to decimals to make it easier to work with
<span>1/10 of sand - 0.1 ton </span>
4/5 minute - 0.8 minute
<span>Q1 - </span>
<span>ratio </span>
0.1:0.8
since the ratio is in decimals we can convert it to whole numbers by multiplying by 10
1:8
Q2. amount of sand added in 0.8 minutes - 0.1 ton
<span> amount of sand added in 1 minute - 0.1/0.8 = 0.125 tons</span>
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