Homer has 105+24=129
lisa has 105
bart has 129+105=234
324-234=90
homer has 129
lisa has 105
bart has 90
The answer to the question
Step-by-step explanation:
The formula for compound interest is
P = I (1 + r/n)^nt
where
P: the total amount of money in the account after a certain amount of time
I: the principal amount
r: the interest rate as a decimal
n: the number of times a year interest is compounded
t: the number of years passed
For Patrick:
P = 200 (1 + 0.02/12)^12*8
P = 200 (1 + 0.00166667)^96
P = 200 (1.00166667)^96
P = 200 * 1.00166667^96
P = $234.67
For Brooklyn:
P = 200 (1 + 0.04/4)^4*8
P = 200 (1 + 0.01)^32
P = 200 (1.01)^32
P = 200 * 1.01^32
P = $274.99
After 8 years, Patrick has $234.67 and Brooklyn has $274.99
You know that the two angles make up a perfectly flat line, which is a 180<span>° angle. So we can create the equation:'
3x + 10 = 12x
Now solve for 'x'. Subtract 3x to both sides:
10 = 9x
Divide 9 to both sides:
x = 10/9
We want to find the smaller angle, so put this value in for 'x' in '3x + 10':
3x + 10
3(10/9) + 10
30/9 + 10
13 1/3</span><span>°</span>