I will have $32 470.69 in 10 yr.
I am not investing until 2 yr from now so, in 10 yr time, I will have invested for only 8 yr.
The formula for the future value (FV) of my investment is
FV = <em>C</em>(1 + <em>r</em>)^<em>n</em>
where <em>C</em> = my initial cash
<em>r</em> = the interest rate
<em>n</em> = the number of years
FV = $16 000(1.0925)^8 = $32 470.69
Answer:
The circumference of the circle is 
.
Step-by-step explanation:
A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.
The area of a circle is given by 
The formula used to calculate the area of a sector of a circle is:
The circumference of a circle is the distance around the outside of the circle and its given by
We know the central angle 
= 110º and the area of the sector 50 units squared.
First, we use the formula to calculate the area of a sector to find the radius.
The radius can't be negative. Therefore,
Next, we apply the formula for the circumference of a circle.
Answer:
1.6 cups of sugar
Step-by-step explanation:
0.4 cups of sugar for 1 batch of cookies
And to find out the amount of sugar we need
We multiply 0.4 for the amount of batches
In this case it will be
0.4 x 4= 1.6 cups of sugar
Answer:
80000 square meters
Step-by-step explanation:
perimeter + dividing fence = 800
let a = length
let b = width
let c = length of dividing fence
perimeter = 2*a + 2*b
let's say...
c is the same as the length
2a + 2b + c = 800
2a + 2b + a = 800
3a + 2b = 800
area = length*width
area = a*b
area / b = a
3*(area/b) + 2b = 800
3*(area/b) = 800 - 2b
area/b = (800 - 2b)
area = (800 - 2b)*b
To make the area large, we make the right hand side large.
800b - 2b^2
If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.
y = -2x^2 + 800x
y = -x^2 + 400x
0 = x*(-x + 400)
roots are x= 0 and x = 400
vertex is at x, aka b = 200
area at b=200 is (800 - 400)*200 = 80000
and a is area/b... 80000/400 = 200
