Answer:
Shorty has $142 after 7 month.
Step-by-step explanation:
The concept of compounded interest involves an initial capital that is reinvested month by month, it means that the initial capital plus the interest earned during the first month is reinvested on the second month and so on. The equation that describes the relationship between the final capital with the initial capital, the percentage of compounded interest and the time is:
Cf = Ci(1 + r)^n
where Cf: final capital (the money tha Shorty needs, $142)
Ci: initial capital (the money that Shorty has, $80)
r is the interest (9% = 0,09)
n: time (in months)
⇒142 = 80 (1 + 0,09)^n ⇒ 142/80 = (1,09)^n ⇒ 1.775 = (1,09)^n At this point you have to apply logarithms.
⇒ log (1.775) = n log (1.09) ⇒ n = log (1.775)/log (1.09) ⇒ n= 6.658
Shorty has $142 after 7 month.
First, you need to find out how many zippers are used to make one bookbag. To do that, you divide the zippers used to make the 3 backpacks.
12 / 3 = 4
So, 4 zippers are used per bookbag. Then, you divide the number of available zippers by four to find out how many bags she can make.
48 / 4 = 12
Roberta can make 12 bookbags.
X+y= -12
xy=8
y=8/x
x+8/x=-12
x^2+12x+8=0
This has no integral
Answer:
1/8th
Step-by-step explanation: A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n. Examples are 1/1, 1/2, 1/3, 1/4 ,1/5, etc. so in this case the cake is eight slices so 1/8
