Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.
1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then
2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then 
is annual interest income in Fund A.
Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then 
is annual interest income in Fund B.
Since Fund A and Fund B produce an annual interest income of $8,000, then
3. Solve the system of equations:
Express x from first equation 
and substitute it into the second equation
Multiply this equation by 1000:
Then
Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.
Answer:
using the formula x/a + y/b =1
a: slope intercept on the x axis
b:slope intersect on the y axis
x/0 + y/3 = 1 (since x/0 is undefined ,the slope doesn't exist and it is impossible for a slope to be linear)
Answer:
- cos(A) = 3/5
- cos(B) = 0
- cos(C) = 4/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the cosine of an angle and the sides of the triangle.
Cos = Adjacent/Hypotenuse
__
<h3>Angle A</h3>
In the given triangle, the hypotenuse is AC. The side adjacent to angle A is AB, so its cosine is ...
cos(A) = AB/AC
cos(A) = 3/5
__
<h3>Angle B</h3>
The right angle in the triangle is angle B. The cosine of a right angle is 0.
cos(B) = 0
__
<h3>Angle C</h3>
The side adjacent to angle C is CB, so its cosine is ...
cos(C) = CB/AC
cos(C) = 4/5
Answer:
option A.) y-3 = 1/16 (x-2)^2
Step-by-step explanation:
we know that
If the axis of symmetry is parallel to the y-axis, then we have a vertical parabola
The equation of a vertical parabola is equal to
where
(h,k) is the vertex
In this problem we have
(h,k)=(2,3)
p=4
substitute
Here, y = -15 with x = -20
LCM of 15 & 20 is 60, so divide 15 & 20 from 60,
60/15 = 4 & 60/20 = 3
Now, multiply the results with intial values,
4y = 3x
y = 3/4 x
When y = 12,
x = 12 * 4/3
x = 48 / 3
x = 16
In short, Your Answer would be 16
Hope this helps!
