P is directly proportional to (q+2)2.When q = 1, p= 1.Find p when q = 10.
1 answer:
Answer:
p = 16
Step-by-step explanation:
Given p is directly proportional to (q + 2)² then the equation relating them is
p = k(q + 2)² ← k is the constant of proportion
To find k use the condition when q = 1, p = 1
1 = k(1 + 2)² = k × 3² = 9k ( divide both sides by 9 )
= k
p = (q + 2)² ← equation of proportion
When q = 10 , then
p = × (10 + 2)² =
× 12² =
× 144 = 16
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Answer:
£13496.80
Step-by-step explanation:
We can ignore the £ sign for now, that is just units.
If we decrease a number by 4.5%, we will have to find % of 14132.77.
We can easily do this by setting up a proportion.
Multiply 14132.77 by 95.5:
Divide by 100:
Rounding this to two decimal places, it simplifies to 13496.80.
Hope this helped!