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eddsworldfrantic
14.09.2019 •
Mathematics
The owner of a bike shop that produces custom built bike frames has determined that the demand equation for bike frames is given by the equation
d(q) = –6.10q^2 –5q + 1000
where d(q) is the price in dollars and q is the number of bike frames demanded per week. the supply equation for bike frames is
s(q) = 3.20q^2 + 10q – 80
where q is the quantity the supplier will make available per week in the market when the price is p dollars. find the equilibrium point (q, p) rounded to the nearest hundredth.
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Ответ:
equilibrium point (10,340)
Step-by-step explanation:
To find the equilibrium point, equal the demand and the supply:
Reorganize the terms in one side and reduce similar terms:
that's a cuadratic equation, solve with the general formula when:
a=9.3, b=15, c=-1080
q can't be negative because it is the quantity of bike frames, so:
This value of q can't be considered.
Then substitute the value of q in D(q) to find the price p:
The equilibrium point (q,p) is (10,340).
Ответ:
1290
Step-by-step explanation:Interest is the amount of money paid for either borrowing money or earning money on a deposit.
Simple Interest is interest that is compounded on the original principal only.
=
I = Interest
P = principal (present value)
r = interest rate (% to decimal)
t = time in years
Example 1: Find the simple interest on a $1000 investment made for 3 years at an interest rate of
5% per year.
Future Value with Simple Interest
= (1 + )
F = Future Value
P = Principal(present value)
r =interest rate
t = time in years
Example 2: Mike borrowed $1,200 at 10% simple interest per year. How much is due when the
loan matures in 9 months?