Step-by-step explanation:
Below is an attachment containing the solution
Patrick and Brooklyn are making decisions about their bank accounts. Patrick wants to deposit $300 as a principle amount, with a
2 answers:
For this we will use formula that is letting us to input: interest rate, starting funds, how often intereset rate is implemented, period we are observing. Formula looks like this:
where M is money, S is starting funds, "i" is interest rate, cp is compounding period and y is number of years. now we express and calculated for both of them and get
M = 318,479 for Patricks investement.
M = 331,482 for Brooklyn.
Which means Brooklyn's method will pay of more.
where M is money, S is starting funds, "i" is interest rate, cp is compounding period and y is number of years. now we express and calculated for both of them and get
M = 318,479 for Patricks investement.
M = 331,482 for Brooklyn.
Which means Brooklyn's method will pay of more.
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<h3>Answer:</h3>
- using y = x, the error is about 0.1812
- using y = (x -π/4 +1)/√2, the error is about 0.02620
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
___
If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620
Answer:
Step-by-step explanation:
given,
initial price of buzz stock = $ 20 per share
after 20 days
stock price = $30 per share
after 40 days
the price = $35 per share
let say it is modeled by
y = ax² + b x + c
x = number of days
y = stock price
x = 0 y = 20
20 = a x 0 + b x 0 + c
c = 20
x = 20 y = 30
30 = 20² a + 20 b + 20
400 a + 20 b = 10...........(1)
x = 40 y = 35
35 = 40² a + 40 b + 20
1600 a + 40 b = 15...........(2)
solving equation (1)and (2)
a = - 1/160
b = 5/8
hence , the above equation is multipart function