Answer:
x = 60
Step-by-step explanation:
The question is asking
$14,700 * (1 - 8%)^x = $100
$14,700 * (1 - 0.08)^x = $100
$14,700 * (0.92)^x = $100
(0.92)^x = $100/$14,700
log(0.92^x) = log($100/$14,700)
x * log(0.92) = log(0.0068027)
x = log(0.0068027)/log(0.92)
x = 59.85
Since this question is asking in terms of years, we always round up (in this case to 60), as it won't fully be worth $100 by the beginning of the 59th year.
Let's translate the verbal language to algebraic language.
She rides to and from school 5 days per week, 6.25 miles each route => 5*2*6.25 miles = 62.5 miles.
She rides additioanly around the park 2.5 miles for each trip t => 2.5*t = 2.5t
Total miles of her rides per week: 62.5 miles + 2.5t
She wants to ride minimum 85 miles => 62.5 + 2.5t ≥ 85
Then, the situation is represented by this inequality:
2.5t + 62.5 ≥ 85
You can develop it and get to several equivalent inequalities, for example:
2.5t ≥ 85 - 62.5
2.5t ≥ 22.5
t ≥ 9
Any of the four forms are equivalent and a valid answer.
To solve this problem, we need to use the midpoint formula, where M = (x1+x2/2, y1+y2/2). To solve, we must plug in the given (x,y) values from our ordered pairs and then simplify, shown below:
(x1+x2/2, y1+y2/2)
( (16 + -6)/2, (5 + -9)/2 )
Now, we can begin to simplify by computing the addition in the numerators of both fractions.
(10/2, -4/2)
Next, we can finish the simplification process by dividing these fractions.
(5, -2)
Therefore, the midpoint of (16,5) and (-6,-9) is (5,-2).
Hope this helps!
5 * 23 is equal to 115. =)
Answer:
It's a positive 8.
Step-by-step explanation:
You can't have a negative amount of money.
