Answer:
Ashley would have to pay an additional $608.52 in interest when the length of the loan changes from 3 years to 5 years.
Step-by-step explanation:
Although the problem gives us the initial amount of the balance ($4000) and the interest rate (13%), we are really only concerned with the total amount Ashley will make in payments in three years versus five years. If she pays $134.78 for three years, that is 36 months, or $134.78 times 36 which is equal to $4852.08. However, if she decides to take longer to pay it and instead pays $91.01 for five years, or 60 months, then her total amount paid would be $5460.60. To find the difference between these two, simply subtract $5460.60-$4852.08 to get $608.52.
Answer:
z - 2*x - 1.5*y = 0 maximize
subject to:
3*x + 5*y ≤ 800
8*x + 3*y ≤ 1200
x, y > 0
Step-by-step explanation:
Formulation:
Kane Manufacturing produce x units of model A (fireplace grates)
and y units of model B
quantity Iron cast lbs labor (min) Profit $
Model A x 3 8 2
Model B y 5 3 1.50
We have 800 lbs of iron cast and 1200 min of labor available
We need to find out how many units x and units y per day to maximiza profit
First constraint Iron cast lbs 800 lbs
3*x + 5*y ≤ 800 3*x + 5*y + s₁ = 800
Second constraint labor 1200 min available
8*x + 3*y ≤ 1200 8*x + 3*y + s₂ = 1200
Objective function
z = 2*x + 1.5*y to maximize z - 2*x - 1.5*y = 0
x > 0 y > 0
The first table is ( to apply simplex method )
z x y s₁ s₂ Cte
1 -2 -1.5 0 0 0
0 3 5 1 0 800
0 8 3 0 1 1200
Answer:
a) 
b) 
And we have the following table:
X | 0 | 1 | 2
P(X) | 0.25 | 0.5 | 0.25
Step-by-step explanation:
Let's define first some notation
H= represent a head for the coin tossed
T= represent tails for the coin tossed
We are going to toss a coin 2 times so then the size of the sample size is 
a. What is the sample space for this chance experiment?
The sampling space on this case is given by:
b. For this chance experiment, give the probability distribution for the random variable of the total number of heads observed.
The possible values for the number of heads are X=0,1,2. If we assume a fair coin then the probability of obtain heads is the same probability of obtain tails and we can find the distribution like this:
And we have the following table:
X | 0 | 1 | 2
P(X) | 0.25 | 0.5 | 0.25
He will need 2 more months to reach up 7 centimeters.
4 cm are long and 1.5 cm grows per month.
in 2 moths her hair will grow 3 inches=4+3=7
2x≤7
where x=1.5 cm
Hi there! :)
Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:
a² + b² = c²
Use the length and width in the equation:
8² + 3² = c²
64 + 9 = c²
73 = c²
c ≈ 8.54 cm
Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:
(8.54)² + 7² = c²
73 + 49 = c²
122 = c²
√122 = c
c = 11.05 ≈ 11 cm. The correct answer is B.
