Answer:
13
Step-by-step explanation:
6 + 7 = 13
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Answer:
0.8333
Step-by-step explanation:
2/3 + x
x + 2/3
x + 2/3 = 3/2
x + 2/3 - 3/2 = 0
2/3 - 3/2 = 4/6 - 9/6 = - 5/6
x - 5/6 = 0
use linear function
f(x) - ax + b
f(x) = x - 5/6
a = 1
b = - 5/6
x- 5/6= 0
x = 5/6
x = 0.8333
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
<h3>How to determine the value of x?</h3>
The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
brainly.com/question/2972832
9514 1404 393
Answer:
$13,916.24
Step-by-step explanation:
First, we need to find the value of the CD at maturity.
A = P(1 +rt) . . . . simple interest rate r for t years
A = $2500(1 +0.085·3) = $2500×1.255 = $3137.50
__
Now, we can find the value of the account with compound interest.
A = P(1 +r)^t . . . . . rate r compounded annually for t years
A = $3137.50 × 1.18^9 = $13,916.24
The mutual fund was worth $13,916.24 after 9 years.
