In short and without much fuss
let's say Anne puts "x" amount in the account at 1.2% rate annually, that means after 1 year, she will have "x" + 1.2% of "x", or 1.012x to be exact.
the 1.2% rate, kicks in as the period of a year is met.
now, what if Anne puts it in the monthly compounded type? that means, the compounding period is a month, so after 1 month, she has 1.2% extra, or 1.012x, and after 2 months, she will have 1.2% extra of 1.012x, or 1.012144x, and after 3 months, she will have 1.2% extra of 1.0121x, or 1.012145728x and so on.
anyhow, the shorter the compounding period, the more the 1.2% kicks in, the more accumulation in the account.
Answer:
Six cases are enough to construct more than one isosceles triangle
Step-by-step explanation:
An Isosceles triangle is a triangle in which at least two of it's sides are congruent.
If two of the three sides of a triangle are congruent, but the third side is of a different length, the triangle is isosceles.
If all three sides of the triangle are congruent, even though this is an equilateral triangle, it satisfies the condition of an isosceles, and it is ok to still it isosceles.
Julius might decide to split information for a better explanation, it doesn't matter the number of cases he has, but six cases should be enough to draw an isosceles triangle.
Answer:
<u>42.25π m²</u>
Step-by-step explanation:
Let's solve!
⇒ Take the radius of the lawn to be 'r'
===========================================================
Then, area of the path equals :
⇒ Area of (lawn + path) - Area of lawn
⇒ π (r + 2)² - πr² = 30π
⇒ πr² - πr² + 4πr + 4π = 30π
⇒ 4πr = 26π
⇒ r = 6.5 m
===========================================================
Area of the lawn :
⇒ Area = πr²
⇒ Area = π × (6.5)²
⇒ Area = <u>42.25π m²</u>
If x represents the number of hours Shelton worked, then the expression 10.25x shows how much Shelton is paid for these x hours ($10.25 for an hour).
After taxes, social security, and his health care plan were deducted he earned
10.25x - 0.21(10.25x).
This means that taxes, social security, and his health care plan form 21% (0.21 as decimal) from 10.25x.
Answer: 21%
Answer:
y = 26 when x = 2
Step-by-step explanation:
Y varies directly with X
y= kx
39 = 3k
k = 13
y = 13x
y(2)= 13(2) = 26