Step-by-step explanation:
2(x + 10) = 3x - 30
2x + 20 = 3x - 30
2x - 3x = -30 - 20
-x = -50
x = 50°
Answer:
Step-by-step explanation:
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Answer:
Probability by definition is the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.
Since number of elements in the set of favourable cases is less than or equal to the number of elements in the set of whole number of cases, their ratio would always end up being 1 or less than one.
Probability equals one when favourable number of cases are same as that of the whole number of cases and probability equals zero when there is no favourable case
Answer:
It would take 5.9 years to the nearest tenth of a year
Step-by-step explanation:
The formula of the compound continuously interest is A = P , where
- A is the value of the account in t years
- P is the principal initially invested
- e is the base of a natural logarithm
- r is the rate of interest in decimal
∵ Serenity invested $2,400 in an account
∴ P = 2400
∵ The account paying an interest rate of 3.4%, compounded continuously
∴ r = 3.4% ⇒ divide it by 100 to change it to decimal
∴ r = 3.4 ÷ 100 = 0.034
∵ The value of the account reached to $2,930
∴ A = 2930
→ Substitute these values in the formula above to find t
∵ 2930 = 2400
→ Divide both sides by 2400
∴ =
→ Insert ㏑ in both sides
∴ ㏑() = ㏑()
→ Remember ㏑() = n
∴ ㏑() = 0.034t
→ Divide both sides by 0.034 to find t
∴ 5.868637814 = t
→ Round it to the nearest tenth of a year
∴ t = 5.9 years
∴ It would take 5.9 years to the nearest tenth of a year