Answer:
Interest earned: 343.75
Balance at maturity: 2843.75
Step-by-step explanation:
simple interest formula
P(1+it)
interest earned:
(interest earned is the ending balance minus the beginning balance)
2500(1+.055*(30/12))-2500= 343.75
Balance at maturity
2500(1+.055*(30/12))= 2843.75
(another way to solve this part is to just add 343.75 (the interest earned) to the beginning balance)
This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.
Answer:
50%
Step-by-step explanation:
40/80 = 0.5. We multiply this decimal fraction by 100% to obtain the desired percentage: 0.5(100%) = 50%
Final answers
1)b
2)b
your welcome
What is an Inequality?
The dictionary defines an inequaltiy as a statement that two quantities are unequal, indicated by the symbol ≠; alternatively, by the symbol <, signifying that the quantity preceding the symbol is less than that following, or by the symbol >, signifying that the quantity preceding the symbol is greater than that following.
Inequality for this problem
x > 6
