I’d say Outcome visualization since it involves seeing yourself achieving your goal.
Answer:

Explanation:
The equation to calculate the <em>monthly payment</em> for fixed-rate loans is:
![Monthly\text{ }payment=Loan\times \bigg[\dfrac{r(1+r)^t}{(1+r)^t-1}\bigg]](https://tex.z-dn.net/?f=Monthly%5Ctext%7B%20%7Dpayment%3DLoan%5Ctimes%20%5Cbigg%5B%5Cdfrac%7Br%281%2Br%29%5Et%7D%7B%281%2Br%29%5Et-1%7D%5Cbigg%5D)
Where:
- Loan = $8500 - $300 = 8,200
- r is the monthly interest = 5.75% / 12 = 0.0575/12 ≈ 0.00479
- t is the number of moths = 36
Substituting:
![Monthly\text{ }payment=\$8,200\times \bigg[\dfrac{(0.0575/12)(1+(0.0575/12))^{36}}{(1+(0.0575/12))^{36}-1}\bigg]=\$ 248.53](https://tex.z-dn.net/?f=Monthly%5Ctext%7B%20%7Dpayment%3D%5C%248%2C200%5Ctimes%20%5Cbigg%5B%5Cdfrac%7B%280.0575%2F12%29%281%2B%280.0575%2F12%29%29%5E%7B36%7D%7D%7B%281%2B%280.0575%2F12%29%29%5E%7B36%7D-1%7D%5Cbigg%5D%3D%5C%24%20248.53)
The amount generated from the investment with simple interest is calculated through the equation,
F = P x (1 + in)
where F is the future amount, P is the present worth, i is the decimal equivalent of the given interest and n is the number of interest period.
From this item it can be identified that,
P = $10,500
i = 0.06
n = 4
Substituting the known values,
F = ($10,500) x (1 + (0.06)(4))
<em> F = $13020</em>
Therefore, after four years, the amount of money that Alex will have is $13,020.
The answers are the following:
a.
Brandon:
$7,000 + [($10,000/4)×3¿= $8,500
Ryan:
$7,000 + [($10,000/4)×1¿= $7,500
b.
Brandon $7,000
Ryan <span>$7,000</span>