Answer:
1.26 m^2 / s.
Step-by-step explanation:
The area A of the triangle = 1/2*7*12 sin x = 42 sin x where x is the angle between the lines.
Relation between the rates is
dA/dt + dA/dx * dx/dt
We are given that dx /dt = 0.06 rad/s.
A = 42 sin x
dA/dx = 42 cos x
So dA/dt = 42 cos x * 0.06
When x = π/3 ( I am assuming that π 3 means π divided by 3 ):
dA/dt = 42 cos π/3 * 0.06
= 1.26 m^2/s.
Answer:
y
=
74.08
Step-by-step explanation:
<span>Ex2:Suppose that $5000 is deposited in a saving account at the rate of 6% per year. Find the total amount on deposit at the end of 4 years if the interest is: </span><span> P =$5000, r = 6% , t = 4 years </span><span>a) simple : A = P(1+rt) </span><span>A = 5000(1+(0.06)(4)) = 5000(1.24) = $6200 </span><span>b) compounded annually, n = 1:
</span><span>A = 5000(1 + 0.06/1)(1)(4) = 5000(1.06)(4) = $6312.38 </span><span>c) compounded semiannually, n =2: </span><span>A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85 </span><span>d) compounded quarterly, n = 4: </span><span> A = 5000(1 + 0.06/4)(4)(4) = 5000(1.015)(16) = $6344.93 </span><span>e) compounded monthly, n =12: </span><span>A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44
</span>
<span>f) compounded daily, n =365: </span><span>A = 5000(1 + 0.06/365)(365)(4) = 5000(1.00016)(1460) = $6356.12</span>
hope I helped.......................:)
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Answer:
Step-by-step explanation:
x + y = 19500
.08x + .15y = 2400