9514 1404 393
Answer:
14.1 years
Step-by-step explanation:
Use the compound interest formula and solve for t. Logarithms are involved.
A = P(1 +r/n)^(nt)
amount when P is invested for t years at annual rate r compounded n times per year.
Using the given values, we have ...
13060 = 8800(1 +0.028/365)^(365t)
13060/8800 = (1 +0.028/365)^(365t) . . . . divide by P=8800
Now we take logarithms to make this a linear equation.
log(13060/8800) = (365t)log(1 +0.028/365)
Dividing by the coefficient of t gives us ...
t = log(13060/8800)/(365·log(1 +0.028/365)) ≈ 0.171461/0.0121598
t ≈ 14.1
It would take about 14.1 years for the value to reach $13,060.
Answer:
From the problem, the answer to the equation is 5 1/10
Step-by-step explanation:
First, let's gather the information from the problem.
<em>a = 4 1/5 (also can be turned into 21/5)</em>
<em>b = 2 7/20 (also can be turned into 47/20)</em>
<em>c = 3 1/4 (also can be turned into 13/4)</em>
Now, plug in the numbers using the improper fractions.
21/5 - 47/20 + 13/4
Turn the denominators into the same number.
84/20 - 47/20 + 65/20
Subtract 84/20 and 47/20.
37/20 + 65/20
Add 37/20 and 65/20.
102/20 or 5 1/10
So, your answer to this equation is 5 1/10.
A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. it currently contains 314 centimeters of water.
what is the difference between the height of the water in the full cylinder and the height when 314 cubic centimeters of water remains in the cylinder?
use 3.14 for pi
310 cm
<h2>
Ratio of area of the square to the area of the circle = π/4</h2>
Step-by-step explanation:
Let the side of square be a and radius of circle be r.
The perimeter of a particular square and the circumference of a particular circle are equal.
Perimeter of square = 4 x a = 4a
Circumference of circle = 2πr
Given that
4a = 2πr
We need to find the ratio of the area of the square to the area of the circle.
Area of the square = a²
Area of the circle = πr²
Ratio of area of the square to the area of the circle = π/4
