Multiply the investment fraction by the corresponding return, and add the products. The given fractions add to 59%, so the remainder is 41%. (The total of the fractions is 100%—all of the portfolio.)
... 0.43*9.1% + 0.16*16.7% + 0.41*11.4%
... = 3.913% + 2.672% + 4.674% = 11.259%
Answer:
https://www.symbolab.com/graphing-calculator
Step-by-step explanation:
this is a great thing to use
Step-by-step explanation:
slope formula when it's perpendicular : m1 × m = -1
Now Differentiate the quadratic function given.
d/dx ( x^2 - x + 1 ) at an x value of -1 from the point "(-1 , 3 )"
= 2x - 1 .... plug in the x value
= 2 × -1 - 1 = -3.
Use this equation...
y - y1 = m(x - x1)
m = slope = derivative at x = -1
y1 = value found by subbing -1 into the original function
x1 = the x value often given.
y - 3 = 1/3 (x + 1)
= 1/3x + 1/3 + 3
y = 1/3x + 10/3.
not sure about this one - it probably intersects at the x & y intercepts of the equation of the normal line.
y = 0 + 10/3 = 10/3
1/3x = 0 - 10/3
x = -10/3 / 1/3 = -10
so the point .... (-10 , 10/3)
Trinomial is defined as a polynomial with three terms separated by a operation (+,-).
c² + c + 6 AND c²<span> − 16 −8c are trinomials.
</span>c² + c + 6
1st term: c²
2nd term: c
3rd term: 6
c²<span> − 16 − 8c
</span>1st term: c²
2nd term: 16
3rd term: 8c
When there is only one term it is identified as monomial; two terms is identified as binomial; polynomial means many terms.
Answer:
(f + g)(x) = x² + 4x - 4
Step-by-step explanation:
The statement (f + g)(x) is the same as f(x) + g(x). In other words, the question simply wants you to add the two functions together.
f(x) = 4x + 1
g(x) = x² - 5
(f + g)(x) <----- Original statement
f(x) + g(x) <----- Rewrite
(4x + 1) + (x² - 5) <----- Substitute the equations in f(x) and g(x)
4x + x² - 4 <----- Add 1 and -5
x² + 4x - 4 <----- Rearrange the terms
