One number is 8 more than another number, and their sum is 16. What are the 2 numbers?
2 answers:
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Answer:
x = 1/2 and 3/2
Step-by-step explanation:
The given equation is logₓ (8x-3) - logₓ 4 = 2
Then we have to determine the value of x.
logₓ = 2 [ since log a - log b = log
]
Now [if
b = c then
= b]
4x² = 8x -3
4x² - 8x + 3 = 0
(2x)² - 2(4x) + (4-4) + 3 = 0
[(2x)² - 2 (4x) + 4 ] - 1 = 0
(2x - 2)² = 1
(2x - 2)² = ± 1 ⇒
2x - 2 = 1 and 2x - 2 = -1
x = 3/2 2x = 1
x = 1/2
Therefore, x = 1/2 and 3/2 are the answers.
Using simple interest, it is found that Devin will pay $60,125 altogether.
The amount paid in <u>simple interest</u> is:
In which:
- P is the principal.
- r is the interest rate, as a decimal.
- t is the time, in years.
In this problem:
- Owes $26,000 in student loans, thus
- Interest rate of 8.75%, thus
- Paid off in 15 years, thus
.
The amount he will pay is of:
Devin will pay $60,125 altogether.
A similar problem is given at brainly.com/question/13176347