The amount deposited in the account that earns 3.6% interest is $57,600 and the amount deposited in the account that earns 2.1% interest is $192,400
The first step is to determine the amount of interest he earned in total over a year
Interest = Amount in the account - amount deposited
$256,114 - $250,000 = $6,114
The second step is to formulate two set of equations and use simultaneous equation to solve the question
a + b = $250,000 equation 1
0.036a + 0.021b = $6,114 equation 2
Where a represent amount deposited in the account that earns 3.6% interest
b represent amount deposited in the account that earns 2,1% interest
Multiply equation 1 by 0.036
0.036a + 0.036b = 9000 equation 3
Subtract equation 2 from 3
2886 = 0.015b
divide both sides of the equation by 0.015
b = $192,400
Substitute for b in equation 1
a + 192,400 = 250,000
a = 250,000 - 192400
a = $57,600
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
Input each points. (x,y) for each equation to find out if the system of equations are equivalent.
Point (-3,4) is a solution of this system of equations.
Point (-2,-6) isn't a solution of this system of equations.
Point (-4,3) is a solution of this system of equations.
The answer is 12 m.
Because you're not studying!
Next time do your mom.
Answer:
2.
Step-by-step explanation:
For #2, another way to word this question is: For which of the following trig functions is π/2 a solution? Well, go through them one by one. If you plug π/2 into sinθ, you get 1. This means that when x is π/2, y is 1. Try and visualize that. When y is 1, that means you moved off the x-axis; so y = sinθ is NOT one of those functions that cross the x-axis at θ = π/2. Go through the rest of them. For y = cos(π/2), you get 0. At θ = π/2, this function crosses the x-axis. For y = tanθ, your result is undefined, so that doesn't work. Keep going through them. You should see that y = secθ is undefined, y = cscθ returns 1, and y = cotθ returns 0. If you have a calculator that can handle trig functions, just plug π/2 into every one of them and check off the ones that give you zero. Graphically, if the y-value is 0, the function is touching/crossing the x-axis.
Think about what y = secθ really means. It's actually y = 1/(cosθ), right? So what makes a fraction undefined? A fraction is undefined when the denominator is 0 because in mathematics, you can't divide by zero. Calculators give you an error. So the real question here is, when is cosθ = 0? Again, you can use a calculator here, but a unit circle would be more helpful. cosθ = π/2, like we just saw in the previous problem, and it's zero again 180 degrees later at 3π/2. Now read the answer choices.
All multiples of pi? Well, our answer looked like π/2, so you can skip the first two choices and move to the last two. All multiples of π/2? Imagine there's a constant next to π, say Cπ/2 where C is any number. If we put an even number there, 2 will cut that number in half. Imagine C = 4. Then Cπ/2 = 2π. Our two answers were π/2 and 3π/2, so an even multiple won't work for us; we need the odd multiples only. In our answers, π/2 and 3π/2, C = 1 and C = 3. Those are both odd numbers, and that's how you know you only need the "odd multiples of π/2" for question 3.
Answer:
5 units. Since they have the same y coordinate the x coordinate determines the distance from each other. In the case 9-4=5.
