Taking into consideration that the interest is compound (yearly)
the amount of money gather through the years can be calculated by
A = P (1+r)^(t)
6000 = 5000 (1.03)^t
t = ln(6000/5000)/ln(1.03) = 6.16 ≈ 7
c. 7 years
Using the vertex of the quadratic function, it is found that:
a) The maximum number of customers in the store is at 12 P.M.
b) 75 customers are in the store at this time.
The number of customers in x hours after 7 AM is given by:
![y = -x^2 + 10x + 50](https://tex.z-dn.net/?f=y%20%3D%20-x%5E2%20%2B%2010x%20%2B%2050)
Which is a quadratic equation with coefficients ![a = -1, b = 10, c = 50](https://tex.z-dn.net/?f=a%20%3D%20-1%2C%20b%20%3D%2010%2C%20c%20%3D%2050)
Item a:
The maximum value, considering that a < 0, happens at:
![x_v = -\frac{b}{2a}](https://tex.z-dn.net/?f=x_v%20%3D%20-%5Cfrac%7Bb%7D%7B2a%7D)
Hence:
![x_v = -\frac{10}{2(-1)} = 5](https://tex.z-dn.net/?f=x_v%20%3D%20-%5Cfrac%7B10%7D%7B2%28-1%29%7D%20%3D%205)
5 hours after 7 A.M, hence, the maximum number of customers in the store is at 12 P.M.
Item b:
The value is y(5), hence:
![y(5) = -(5)^2 + 10(5) + 50 = 75](https://tex.z-dn.net/?f=y%285%29%20%3D%20-%285%29%5E2%20%2B%2010%285%29%20%2B%2050%20%3D%2075)
75 customers are in the store at this time.
A similar problem is given at brainly.com/question/24713268
Answer:
20 greater than or equal to 4x + 7
Step-by-step explanation:
hope this helps!
Step-by-step explanation:
A 55ttty65t78with city council spokeswoman said that in August