Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
Mm i think 7 you just have to divide like the number by 2 like 40 divided by 2 is 20 then divide the 20 and you get 10 idk
we have
Equate the function to zero
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side.
the factorization is equal to
therefore
<u>the answer is</u>
Answer:
Amount invested = $15,000 (Approx.)
Step-by-step explanation:
Given:
Amount of interest received = $6,159
Rate of interest = 3.5%
Number of year = 10 year
Find;
Amount invested
Computation:
Using compound interest formula
I = P[(1+r)ⁿ - 1]
6,159 = Amount invested[(1+3.5%)¹⁰ - 1]
6,159 = Amount invested[(1+0.035)¹⁰ - 1]
6,159 = Amount invested[(1.035)¹⁰ - 1]
Amount invested = $15,000 (Approx.)
