Answer:
$289,169.84 (to the nearest cent)
Step-by-step explanation:
Compound interest is based on the principal amount and the interest that accumulates on it in every period.
Compound Interest = P (1 + r)^n
where P = principal amount, r = annual interest rate (as a decimal), n = term, in years
So for this problem:
P = 185000
r = 1.4 ÷ 100 = 0.015
n = 30
Therefore,
Compound Interest = P (1 + r)^n
= 185000 x (1 + 0.015)^30
= 185000 x (1.015)^30
= 289169.8408...
= $289,169.84 (to the nearest cent)
Given:
The polynomial is divided by (x+2).
To find:
The remainder.
Solution:
Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is p(c).
Consider the polynomial:
It is divided by (x+2). So, by the remainder theorem the remainder is p(-2).
Substituting x=-2 in the above polynomial, we get
Therefore, the remainder is -9.
121.666666 (6 is repeating)
Answer:
cubic feet
Step-by-step explanation:
Let r, h denotes radius and height of the tree's trunk.
Radius of the tree's trunk = 2 feets
Height of the tree's trunk = 15 feets
The tree's trunk is in the shape of a cylinder.
Volume of cylinder (tree's trunk)
Put
Volume of the tree's trunk cubic feet
Put
So,
Volume of the tree's trunk cubic feet