Answer:
Step-by-step explanation:
A quarter circle is one fourth of a circle. To find the area of a quarter circle, find the area of the whole circle by using the formula A = pi * r^2 and then divide by 4. To find the perimeter of the quarter circle, find the circumference of the whole circle, divide by 4, and then add the radius twice.
Continuous compounding is the mathematical limit that compound interest can reach.
It is the limit of the function A(1 + 1/n) ^ n as n approaches infinity. IN theory interest is added to the initial amount A every infinitesimally small instant.
The limit of (1 + 1/n)^n is the number e ( = 2.718281828 to 9 dec places).
Say we invest $1000 at daily compounding at yearly interest of 2 %. After 1 year the $1000 will increase to:-
1000 ( 1 + 0.02/365)^365 = $1020.20
with continuous compounding this will be
1000 * e^1 = $2718.28
The closest distance up the tree where the wire reaches is 17.93 foot.
<u>Explanation:</u>
Given-
Length of the wire, L = 12 foot
angle, Ф= 48°
Distance upto which the wire reaches the tree, x = ?
We know,
cos Ф = base/ hypotenuse
cos 48° = 12/ x
0.669 = 12/x
x = 17.93 foot
Therefore, the closest distance up the tree where the wire reaches is 17.93 foot.
Answer:
1.5% of 4000 or 60
Step-by-step explanation:
