Answe: She also received a coupon for 15% off the sale price. ... in price, in percentage terms, between the initial price of the shoes and the sale price?. The first way is to find the amount of the discount and subtract from the original price
Step-by-step explanation:
Answer:
The original price was $43.50
Step-by-step explanation:
Let
x ----> the original price of a video game
we know that
1) The price of a video game increases by 20%
so
The final price is equal to the original price multiplied by 1.20
so
2) The price of a video game decreases by 10%
so
The final price is equal to the price at this moment multiplied by 0.90
so
we have that
solve for x
Answer:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
Step-by-step explanation:
Protein Carbohydrates Iron calories
Food 1 (x₁) 10 1 4 80
Food 2 (x₂) 15 2 8 120
Food 3 (x₃) 20 1 11 100
Requirements 40 6 12
From the table we get
Objective Function z :
z = 80*x₁ + 120*x₂ + 100*x₃ to minimize
Subjet to:
Constraint 1. at least 40 U of protein
10*x₁ + 15*x₂ + 20*x₃ ≥ 40
Constraint 2. at least 6 U of carbohydrates
1*x₁ + 2*x₂ + 1*x₃ ≥ 6
Constraint 3. at least 12 U of Iron
4*x₁ + 8*x₂ + 11*x₃ ≥ 12
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers
With the help of an on-line solver after 6 iterations the optimal solution is:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
7b / 12 = 4.2
multiply both sides by 12
7b = 50.4
divide both sides by 7 to isolate b
b = 7.2
Answer:
It will take 554 years
Step-by-step explanation:
Here, we want to estimate the time when t will be $50
We can rewrite the exponential equation as;
y = 200(1-0.0025)^t
In this case, y = $50 and we want to calculate t
so, we simply proceed to substitute the value 50 for y
we have this as ;
50 = 200(1-0.0025)^t
50/200 = (1-0.0025)^t
1/4 = 0.9975^t
0.25 = 0.9975^t
Take the natural logarithm of both sides
ln 0.25 = ln 0.9975^t
ln 0.25 = t ln 0.9975
t = ln 0.25 / ln 0.9975
t = 553.8 = 554 years
The bike will be $50 in 554 years
