315 is the answer but i don't know what they mean by simplify <span />
Answer:
x=19 so ∠A=113
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
because if he turns right 90 he will get to school but if he turns left 90 he might get half way to the golf course. And since it doesn't specify there is no way in knowing which way to turn
Dy/dx = y/(x^2)
dy/y = dx/(x^2)
int[dy/y] = int[dx/(x^2)] ... apply integral to both sides
ln(|y|) = (-1/x) + C
|y| = e^{(-1/x) + C}
|y| = e^C*e^(-1/x)
|y| = C*e^(-1/x)
y = C*e^(-1/x)
So you have the correct answer. Nice job.
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Check:
y = C*e^(-1/x)
dy/dx = d/dx[C*e^(-1/x)]
dy/dx = d/dx[-1/x]*C*e^(-1/x)
dy/dx = (1/(x^2))*C*e^(-1/x)
is the expression for the left hand side (LHS)
y/(x^2) = [C*e^(-1/x)]/(x^2)
y/(x^2) = (1/(x^2))*C*e^(-1/x)
is the expression for the right hand side (RHS)
Since LHS = RHS, this confirms the solution for dy/dx = y/(x^2)
Answer: the interest rate is 3.67%
Step-by-step explanation:
We would apply the formula for determining simple interest which is expressed as
I = PRT/100
Where
I represents interest paid on the bond.
P represents the principal or amount at which you bought the bond.
R represents interest rate on the bond
T represents the duration of the bond in years.
From the information given,
P = 3000
T = 10 years
I = 4100 - 3000 = 1100
Therefore,
1100 = (3000 × R × 10)/100 = 300R
R = 1100/300
R = 3.67%
