Answer:
t
=
26
∘
57
+
k
360
∘
Step-by-step explanation:
tan
t
=
1
2
Calculator and unit circle give 2 solutions for (0, 360) -->
t
=
26
∘
57
, and
t
=
180
+
26.57
=
206
∘
57
General answer:
t
=
26
∘
57
+
k
360
∘
Answer:
5.93 years
Step-by-step explanation:
The continuous compounding formula tells you the amount after t years will be ...
A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years
7400 = 5500e^(0.05t)
ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs
t = 20×ln(74/55) ≈ 5.93
It will take about 5.93 years for $5500 to grow to $7400.
Answer:
16
Step-by-step explanation:
The dimensions of the base of the prism are 4" by 2"; the height is 2".
Looking at the base, we see that (4)(2), or (8) 1" cubes would cover it exactly and wholly. We'd have a 3-dimensional prism with one layer of 1" cubes.
Now if we add a second layer right on top of the first layer, we'd have used (16) 1" cubes.
Question 3 is 48
Question 4 is 45
