Answer:
11.196%
Step-by-step explanation:
Given:
Buying cost of the investment or the principle amount = $1000
Time, n = 5 years
Selling cost of investment or amount received = $1700
Now,
the formula for compound interest is given as:
here, r is the rate of interest
on substituting the respective values, we get
or
(1 + r)⁵ = 1.7
or
1 + r = 1.11196
or
r = 0.11196
or
r = 0.11196 × 100% = 11.196%
Answer:
68 ft
I've attached the Trignometric ratio theory as well
<em>hope you understood </em><em>:</em><em>)</em>
<h3>
Answer: Choice B) 468 cm^2</h3>
============================================================
Explanation:
As the diagram shows, we have a triangular face with a base of b = 18 and height of h = 13. The area of this triangular face is:
A = 0.5*b*h
A = 0.5*18*13
A = 117 square cm or cm^2
This represents the area of one face, but there are 4 identical copies of this triangular face assuming this tetrahedron is a regular polyhedron. So we have a total surface area of 4*117 = 468 cm^2 which points us to choice B
This is the amount of paint you'll need to cover the outer surface of the pyramid, or you can think of it as the amount of wrapping paper needed. This assumes there are no gaps or overlaps.
Answer:
890.1 cm^3
Step-by-step explanation:
The volume of the cylinder is given by the formula ...
V = πr^2h
Filling in the given numbers, we find the volume of the cylinder to be ...
V = π(5 cm)^2(8 cm) = 200π cm^3
__
The volume of a hemisphere is given by the formula ...
V = (2/3)πr^3
Filling in the given radius, we find the hemisphere volume to be ...
V = (2/3)π(5 cm)^3 = 250π/3 cm^3
__
The total volume of the toy is presumed to be the sum of these volumes, so is ...
toy volume = (200π cm^3 +250π/3 cm^3) = 850π/3 cm^3
toy volume ≈ 890.1 cm^3
Answer:
Table C
If the bacteria population triples every hour, it must multiply by three each time.
Table C fits this pattern
y | 1 | 3 | 9 | 27 | 81 | 243 | 729
1×3=3, 3×3=9, 9×3=27 etc.
