The equation you're looking for is...
<span>A = P( 1 + r)^n
where P = principle amount , r = rate and n = number of years</span>
Answer:
oc)0.83
Step-by-step explanation:
have a good day!!!
Answer:
the number of grams of zinc contain is 78
Step-by-step explanation:
The computation of the number of grams of zinc contain is shown below:
Given that the ratio of zinc to copper is 3:16
And, the jar of the chemical has 416 grams copper
So, the number of zinc grams would be
here we assume the zinc grams be x
Now the equation would be
3 ÷ 16 = x ÷ 416
Now applied the cross multiplication
16x = 416 × 3
x = (416 × 3) ÷ 16
= 78
Therefore the number of grams of zinc contain is 78
You have a rectangle that consists of 20 square cells. Among them are 6 blue cells.
The probability that <span>the point is in the blue section of the grid is:
</span>
<span>
.
</span>
Then you can conclude that it is likely that <span>the point is in the blue section of the grid.</span>
This is the missing equation that models the hieght and is misssing in the question:
<span>h= 7cos(π/3 t)
</span>
Answers:
<span>a. Solve the equation for t.
</span>
<span>1) Start: h= 7cos(π/3 t)
</span>
2) Divide by 7: (h/7) = <span>cos(π/3 t)
</span>
3) Inverse function: arc cos (h/7) = π/3 t
4) t = 3 arccos(h/7) / π ← answer of part (a)
b. Find the times at which the weight is first at a height of 1 cm, of 3
cm, and of 5 cm above the rest position. Round your answers to the
nearest hundredth.
<span>1) h = 1 cm ⇒ t = 3 arccos(1/7) / π</span>
t = 1.36 s← answer
2) h = 3 cm ⇒ t = 3arccos (3/7) / π = 1.08s← answer
3) h = 5 cm ⇒ 3arccos (5/7) / π = 0.74 s← answer
c. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time.
Use the periodicity property of the function.
The periodicity of <span>cos(π/3 t) is 6.
</span><span>
</span><span>
</span><span>So, the second times are:
</span><span>
</span><span>
</span><span>1) h = 1 cm, t = 6 + 0.45 s = 6.45 s ← answer
</span>
2) h = 3 cm ⇒ 6 + 1.08 s = 7.08 s← answer
3) h = 5 cm ⇒ t = 6 + 0.74 s = 6.74 s ← answer
