Answer:
The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:
Step-by-step explanation:
Value of the car:
Constant rate of change, so the value of the car in t years after 2012 is given by:
In which f(0) is the initial value and r is the decay rate, as a decimal.
In 2012 your car was worth $10,000.
This means that 
, thus:
2014 your car was worth $8,850.
2014 - 2012 = 2, so:
We use this to find 1 - r.
Thus
Answer:
$5.60
Step-by-step explanation:
interest = 3.5% = 3.5 ÷ 100 = 0.035
So 3.5% of $400 = 0.035 x 400 = $14
If Jonah spend 3/5 of the interest, then he gives his brother 2/5 of the interest each year.
2/5 of $14 = 2/5 x 14 = $5.60
Solutions
1) The first step is to find the Least Common Denominator (LCD) of <span>3/8,1/8,1/3,1/4
</span>⇒ Start Listing Multiples
List out all multiples of each denominator, and find the first common one.
8: <span><span>8,16,24</span>
</span>
8 : <span>8,16,24
</span>
3 : <span>3,6,9,12,15,18,21,24
</span>
4 : <span><span>4,8,12,16,20,24</span>
</span>
Therefore, the LCD is <span>24
</span>⇒ By Prime Factors
List all prime factors of each denominator, and find the union of these primes.
8 : <span>2,2,2</span>
8 : <span>2,2,2</span>
3 : 3
4 : <span><span>2,2</span>
</span>
Therefore, the LCD is <span>2×2×2×3=24
</span>Make the denominators the same as the LCD
<span><span><span>3×3 / </span><span>8×3 </span></span>+<span><span>1×3 / </span><span>8×3 </span></span>−<span><span>1×8 / </span><span>3×8 </span></span>+<span><span>1×6 / </span><span>4×6
</span></span></span>Simplify. Denominators are now the same
<span><span>9 / 24</span>+<span>3 / 24</span>−<span>8 / 24</span>+<span>6 / 24
</span></span>Join all the denominators
<span><span>9+3−8+6 / </span>24
</span>Simplify
<span>10 / 24
</span>Simplify fraction 10 / <span>24</span>
<span>5 / 12</span>
Answer:
31
Step-by-step explanation:
31 is a prime number meaning the only factors it has are 1 and itself, 31. If we take its factors 1 and 31 and multiply them together, we get 31.
