6(x-1)
4x
X = 6*x-1*6/6x-6=4x
X= -6=4x-6x
X=-6=-2x
Value of x Is 3
The amount she should invest today in the annuity is $455,450.40.
<h3>How much should be invested today?</h3>
The first step is to determine the future value of the monthly annuity.
Future value = monthly payment x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 3.6/12 = 0.3%
- n = number of periods : 15 x 12 = 180
Future value : 3250 x [(1.003^180) - 1] / 0.003 = 774,171.92
The second step is to determine the present value of this future annuity:
774, 171.92 / (1.036^15) = $455,450.40
To learn more about annuities, please check: brainly.com/question/24108530
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Answer:
Step-by-step explanation:
4 * 9 + 2* 9 + 1/2*6 * 3
= 36 + 18 + 9
= 63 in^2
For 1 - 12y < 3y+1; y > 15
For 2 - 6y > 4 + 4y; y < -0.2
The given inequalities are:
1 - 12y < 3y + 1
2 - 6y > 4 + 4y
For 1 - 12y < 3y + 1:
1 - 12y < 3y + 1
Collect like terms
-12y - 3y < 1 - 1
-15y < 0
Multiply both sides by -1
-1(-15y) > 0(-y)
15y > 0
Divide both sides by 15
y > 0/15
y > 15
For 2 - 6y > 4 + 4y
Collect like terms
-6y - 4y > 4 - 2
-10y > 2
Multiply both sides by -1
-1(-10y) < 2(-1)
10y < -2
y < -2/10
y < -0.2
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Answer:
2x + 3t - 4
Step-by-step explanation:
Hi,
To simplify the expression, we must combine like terms. To start, let's combine all of the x-values.
4x + 3t - 2x - 4
When we combine 4x and -2x we get 2x.
2x + 3t - 4
We can't combine anything else. They don't have the same variables and 4 doesn't even have a variable, so 2x + 3t -4 is the simplified expression.
I hope this helps :)
