Answer:
5. x = 3, y = 3
Step-by-step explanation:
5. cos45 = y/(3√2)
y = 3
sin45 = x/(3√2)
x = 3
Answer:
$2400 in A rated bond and $3000 in B rated bond.
Step-by-step explanation:
We have been given that Maria has recently retired and requested an extra $444.00 per year in income.
We can represent this information in an equation as:

She has $5400 to invest in an A-rated bond that pays 10% per annum or a B-rated bond paying 6% per annum.

From equation (1), we will get:

Substitute this value in equation (2):







Therefore, Maria should invest $2400 in A-rated bond.
Substitute
in equation (1):



Therefore, Maria should invest $3000 in B-rated bond.
Answer:
The correct option is 1.
Step-by-step explanation:
From the given table is notices that the function f(x) is a downward parabola.
The maximum value of f(x) is 5 at x=1.
The function g(x) is

vertex of the parabola is



Put x=2.

Therefore the vertex of g(x) is (2,4). The vertex of a downward parabola is the maximum point of the function.
Therefore ƒ(x) has the greater maximum. Option 1 is correct.
Answer:
x= 1/2 and x= -3
Step-by-step explanation:
Let's solve your equation step-by-step.
2x2+5x−3=0
Step 1: Factor left side of equation.
(2x−1)(x+3)=0
Step 2: Set factors equal to 0.
2x−1=0 or x+3=0
x=
1
2
or x=−3