Volume of first oil = A, volume of second oil = B, volume of mixture = M
A = ?, B = 4l, M = A + B
40%A + 25%B = 30%M
40%A + 25%4l = 30%(A+4l)
<span>40%A + 25%4l = 30%A + 30%4l
40A + 100l = 30A + 120l
40A - 30 A = 120l - 100l
10A = 20l
A = 2l
</span>
Answer: 2 litres of 40% oil dressing.
Also note: That's an approximation, because the volumes are not strictly additive. For example: mixing 50ml pure ethanol with 50ml water will give you about 95ml of mixture. To get an accurate answer, you'd have to measure the volume of the final mixture and then divide your total oil content by that<span>.</span>
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.
The answer is B
Hope this helps :)
N + 2 = 13
-2 -2
n = 11
I hope this helps!
Answer:
7
Step-by-step explanation:
I just want points
