The answer is rotation then translation. (:
This is an exponential decay problem.
Using the equation Y = a *(1-rate)^time
where Y is the future value given as 12,000 and a is the starting value given as 13,000.
The rate is also given as 5%.
The equation becomes:
12,000 = 13,000(1-0.05)^x
12,000 = 13,000(0.95)^x
Divide each side by 13000:
12000/13000 = 0.95^x/13000
12/13 = 0.95^x
Use the natural log function:
x = ln(12/13) / ln(0.95)
x = 1.56 years. ( this will equal 12,000
Round to 2 years it will be less than 12000.
Answer:
30
Step-by-step explanation:
12 is 40% of the total number of cards.
12 = 0.4x, where x is total number of cards
/0.4 /0.4
30 = x
30 cards
Answer:
2 2/5
Step-by-step explanation:
change -1 3/5 to an improper fraction
-1 3/5 = -(5*1+3)/5 = -8/5
-1 3/5 ÷ -2/3 =
-8/5 ÷-2/3
copy dot flip
-8/5 * -3/2
24/10
divide top and bottom by 2
12/5
change back to a mixed number
5 goes into 12 2 times (5*2=10) with 2 left over
2 2/5
The first 6 is in the hundreds and the other six is in the thousands
