Answer:
Step-by-step explanation:
difference of a number and 9 means to subtract
twice that means multiply by 2
at least is greater than or equal to
A market buys mixed nuts at $15 per pound. They want to make a 20% profit. What would you make for 1 pound of nuts ? ( show work
1 answer:
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Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
Answer:
Option A is correct.
Value of
Step-by-step explanation:
Given: and common difference(d) = 3.4
A sequence of numbers is arithmetic i.e, it increases or decreases by a constant amount each term.
The sum of the nth term of a arithmetic sequence is given by;
, where n is the number of terms, a is the first term and d is the common difference.
We also know the nth tern sequence formula which is given by ;
......[2]
First find a.
it is given that
Put n =12 and d=3.4 in equation [2] we have;
2.4 = a + 37.4
Simplify:
a = - 35
Now, to calculate
we use equation [1];
here, n =2 , a =-35 and d=3.4
Simplify:
Therefore, the sum of sequence of 22nd term i.e,