The amount in the account is now 10 118 dollars for 6 years that earned 8% annual interest.
=> 10 118 dollars / 6 years = 1686.33 dollars per year.
=> <span>1686.33 dollars * .08 = 134.91 dollars is the interests per year
</span>=> <span>1686.33 dollars - 134.91 dollars = 1551.42 dollars per year
</span>=> <span>1551.42 dollars / 12 = 129.29 dollars initial monthly deposit.</span>
Answer:
(~1.6,~-8.6)/(1.599,-8.597)
Step-by-step explanation:
This uses the system of equations, if you'd like to find more examples. First, let's mess with the first equation and solve for the easiest findable variable.
1. 3x+8y = -13 -> x = (-13-8y)/3 & y = (-13-3x)/8
2. Using the x equation because it's easier to use when entering into the second equation, we can get 14(-13-8y/3)
(-182-112y)/3 = -10 = 3y/5 is then our new eqn,
Then, we can make the fractions on the right and left equal and find y
9y/15 = -910-560y/15 ->
9y = -910-560y
569y = -910
y = 1.599
3. Now, insert 1.599 into the first x equation we made, x = (-13-8y)/3
to get x = -8.597
4. Your solution is 1.599, -8.597 or ~1.6,~-8.6
Answer:
x = -7
, y = 0
Step-by-step explanation:
Solve the following system:
{4 x + 5 y = -28 | (equation 1)
-4 x - 7 y = 28 | (equation 2)
Add equation 1 to equation 2:
{4 x + 5 y = -28 | (equation 1)
0 x - 2 y = 0 | (equation 2)
Divide equation 2 by 2:
{4 x + 5 y = -28 | (equation 1)
0 x - y = 0 | (equation 2)
Multiply equation 2 by -1:
{4 x + 5 y = -28 | (equation 1)
0 x+y = 0 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{4 x+0 y = -28 | (equation 1)
0 x+y = 0 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -7 | (equation 1)
0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = -7
, y = 0
There's 24 hours in a day
so 24/100 = 0.24 < that is the percentage per hour
first eating - %10. 0.24x10= 2.4hrs eating
free time - 15% 0.24x15= 3.6hrs of free time
homework - 10% 0.24x10 = 2.4hrs of homework
school - 25% 0.24x25= 6hrs of school
and sleeping = 40% 0.24x40=9.6hrs of sleep
add them(hours) all up and you'll get 24!
Answer:
6/7
Step-by-step explanation:
Product of slope of perpendicular line = -1
Slope = 

Slope of the perpendicular line = -1/m = -1 ÷ 
