Answer:
x = 11
y = 3
Step-by-step explanation:
In a parallelogram opposite sides are equal.
8x = 88
x = 88/8
x = 11
4y - 7 = y + 2
4y = y + 2 + 7
4y = y + 9
4y - y = 9
3y = 9
y = 9/3
y = 3
Answer:
The amount is $16718.7 and the interest is $4718.7.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$12000 , r=3.33% , n=4 and t=10 years
After plugging the given information we have
AAAA=12000(1+0.03334)4⋅10=12000⋅1.00832540=12000⋅1.393225=16718.7
STEP 2: To find interest we use formula A=P+I, since A=16718.7 and P = 12000 we have:
A16718.7II=P+I=12000+I=16718.7−12000=4718.7
Answer:
144
Step-by-step explanation:
First, do the top and bottom. The top is 2*4*3 or 24, and the bottom is 6*4 or 24.
Now, do the sides. It is a staircase that you can split into 6 2x2 blocks, or 6*4=24. Do the same with the other side to get 24 again.
Now for the front and back. This is 2*4*3 and 6*4 again, or 24 and 24.
Now you have 6 24's so just multiply these and get 144.
Answer:
the directrix and focus the axis of symmetry (goes through the focus, at right angles to the directrix) the vertex (where the parabola makes its sharpest turn) is halfway between the focus and directrix.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that a small business assumes that the demand function for one of its new products can be modeled by

Substitute the given values for p and x to get two equations in c and k

Dividing on by other we get

Substitute value of k in any one equation

b) Revenue of the product is demand and price
i.e. R(x) = p*x = 
Use Calculus derivative test to find max Revenue
R'(x) =
EquateI derivative to 0
1-0.000589x =0
x = 1698.037
When x = 1698 and p = 16.56469