An equivalent ratio would be 4/10, and the number of cattle would be 136,000.Explanation:The question asks for an equivalent ratio. This means a fraction that is equivalent to the fraction between 700-799, which is 2/5.To create an equivalent fraction, we multiply the numerator and denominator by the same number. Multiplying both by 2, we get (2*2)/(5*2) = 4/10.Tenths are useful when dealing with thousands, because taking a tenth involves getting rid of a zero. This means that 1/10 would be 34000; 4/10 would be 4 times that: 4(34000) = 136000.
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Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:







d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
Answer:
80 cm
Step-by-step explanation:
The diagonals divide the rhombus into four congruent triangles. The height of each triangle is 18/2 = 9, and the hypotenuse is 41. Using Pythagorean theorem, the width of each triangle is:
c² = a² + b²
41² = 9² + x²
x = 40
Therefore, the longer diagonal is 2×40 = 80.
8 x 2 + 6x + 5=0
16 + 6x + 5=0
6x+21=0
6x+21-21=0-21
6x=-21
6x/6=-21/6
x=-7/2
Answer:
Step-by-step explanation:
The fidelity investment mutual funds is $10.92 per share.
The fund charges 2.5%.
So, if 2.5% is charged,
Then, 2.5% of the share is
2.5% of $10.92 = 2.5 / 100 × $10.92
2.5% of $10.92 = $0.273
Then, total offer price is 0.273 + 10.92
Therefore, total offer is $11.193