Answer:
D
Step-by-step explanation:
3x=y+4
4y=3x-1
Subtract 4 from both sides of the second equation to isolate y:
y=3x-4
Therefore, the correct answer is D. Hope this helps!
Answer:
A. 312 cm²
Step-by-step explanation:
The figure compromises of a rectangle and 2 equal triangles.
Area of the figure = area of the rectangle + area of the two triangles
Area = L*W + 2(½*b*h)
Where,
L = 16 cm
W = 12 cm
b = 12 cm
h = 10 cm
Plug in the values
Area = 16*12 + 2(½*12*10)
= 192 + 120
= 312 cm²
Answer:
2√46 + 25π/4 ≈ 33.2 . . . . m²
Step-by-step explanation:
The altitude of the triangle is given by the Pythagorean theorem. The right triangle of interest is the one that has 5√2 as its hypotenuse, and a leg of half the base shown. Then the other leg, the altitude of the triangle, is ...
h = √((5√2)² - 2²) = √46
Then the area of the triangle shown is ...
A = (1/2)bh = (1/2)(4)(√46)
A = 2√46
__
The area of the semicircle is given by the formula ...
A = (1/2)πr²
Filling in the radius shown, the area is computed as ...
A = (1/2)π(5√2/2)² = 25π/4
So, the total area of the figure is ...
total area = triangle area + semicircle area
= 2√46 + 25π/4 . . . square meters
≈ 33.2 . . . square meters
Answer:
D.) The expected value is 1.78
Step-by-step explanation:
The expected value of a probability distribution is evaluated using the formula.
Expected Value, 
Therefore, from the given probability distribution, we have:
E(X)=(0*0.3)+(1*0.2)+(2*0.16)+(3*0.2)+(4*0.04)+(5*0.1)
E(X)=1.78
The Expected value of X is 1.78.
The correct option is D.
Let the first investment be x
and second be 3000-x
so 3%of x + 4% of (3000-x) = 107
By solving x = 1300
First investment is 1300
second investment is 1700
