Answer:
$18,726.11
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
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First lets change 9% into a decimal:
9% -> 
-> 0.09
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
<u>The balance after 5 years is $18,726.11</u>
Answer:
-2+11x
Step-by-step explanation:
Combine like terms
(-5+3)+(x+10x)
-5+3 = -2
x+10x = 11x
-2+11x
Let x = red
Let 0.5x = green
Let (x) + (0.5x) = 1.5x = blue
Let 0.5(1.5x) = 0.75x = yellow
Let 0.75x + 4 = brown
Use this value to calculate the other required numbers.
red = 28
green = 0.5x = 0.5(28) = 14
blue = 1.5x = 1.5(28) = 42
yellow = 0.75x = 0.75(28) = 21
brown = 0.75x + 4 = 0.75(28) + 4 = 25
The Pythagorean theorem tells you
... a² + b² = c²
so
... a² = c² - b² = 16² - 9² = 256-81 = 175
... a = √175 = √(25·7)
... a = 5√7
Step-by-step explanation:
the answer is in the image above
