question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
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Answer: The correct answer is 341 children
Step-by-step explanation:
Firstly you solve for the number of children that like both types of ice cream.
Let us assume it to be x
(150 - x )+ x + (125 - x) + 166 = 391
150 + 125 + 166 - x + x - x = 391
441 - x = 391
X = 441 - 391
X = 50
Since 50 children like at least one type of ice cream, subtracting it from the total no. of children will give the number of children that like at most one type
Therefore, 391 - 50 = 341 children
Alternatively,
Sum up children who like only chocolate ice cream + pistachio ice cream only + does who don't like any type of ice cream
= (150 - 50) + (125 - 50) + 166
= 100 + 75 + 166
= 341 children
The correct answer is false:) Parallel lines don’t have a solution because they don’t intersect.
I know B is on possible choice for this and maybe d almost certain