We have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years. The formula is: A = P * ( 1 + r )^t, where A = $41,000, r = 0.023 and t = 17. 41,000 = P * ( 1 + 0.023 ) ^17; 41,000 = P * ( 1.023 )^17; 41,000 = P * 1.4719; P = 41,000 : 1.4719; P = 27,855.15. Answer: It has to be invested <span>$27,855. </span>
Answer:
2
Step-by-step explanation:
Step 1. <em>Find a coterminal angle that falls be 0 and 2π.
</em>
Remember that cscθ is a periodic function. It repeats every 2π radians.
If n is an integer, cscθ = csc(θ ± 2πn)
csc(17π/6) = csc(12π/6 + 5π/6)
= csc(2π + 5π/6)
= csc(5π/6)
Step 2. <em>Use the unit circle to evaluate cscθ.
</em>
cscθ = 1/sinθ
Let θ = 5π/6
In a unit circle (below), the sine of an angle is y.
sinθ = ½
cscθ = 1/sinθ
= 1/(½)
= 2
Answer: 3.51%
Step-by-step explanation:
Percent error is theoretical minus experimental, divided by the theoretical, and multiplied by 100.


= 3.51%