Answer:
It is given that a bag contains 3 red marbles, 5 blue marbles and 2 green marbles.
The total number of marbles in the bag is 10.
Two blue marbles are drawn one after another from the bag.
Let A be the event that getting two marbles are blue marbles under condition is with replacement.
The probability of...
Answer:
Option C is correct.
Step-by-step explanation:
Interest = $ 125.08
Rate = 6 %
We know that interest is given by
P = $ 2084.67
This is the value of interest. Thus option C is correct.
Money with Nathan in his savings account = $40
Rate of interest per annum = 5%
We know that :
In this case :
Principal = $40
Rate = 5%
Time = 1 year
Simple interest he will earn in 1 year :
Amount = Principal + Interest
Amount Nathan has to pay at the end of one year :
Thus, at the end of 1 year Nathan has to pay $42.
Therefore, simple interest Nathan will earn in 1 year = $2
Answer:
The value of x is -6
Step-by-step explanation:
Let us equate the fraction by its equivalent
∵ = -22
→ Multiply both sides by (x - 10) to cancel the denominator of the left side
∴ × (x - 10) = -22 × (x - 10)
∴ 352 = -22(x - 10)
→ Simplify the right side by multiplying -22 by the bracket (x - 10)
∵ 352 = -22(x) - 22(-10)
∴ 352 = -22x + 220
→ Add 22x to both sides
∵ 22x + 352 = -22x + 22x + 220
∴ 22x + 352 = 220
→ Subtract 352 from both sides
∴ 22x + 352 - 352 = 220 - 352
∴ 22x = - 132
→ Divide both sides by 22 to find x
∴
∴ x = -6
∴ The value of x is -6