Answer: the initial deposit is $162.1
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
r = 7% = 7/100 = 0.07
t = 3 years
A= $200
Therefore,
200 = P x 2.7183^(0.07 x 3)
200 = P x 1.234
P = 200/1.234
P = $162.1 to the nearest cent
1 and 3/4 cups = 4/4 + 3/4 = 7/4 cups This equals 1 batch. If we want 2.5 batches, then we multiply by 2.5 2.5 x 7/4 = x 4.375 cups = x You can also add the cups one batch and then a half batch at a time. 7/4 + 7/4 + (7/4*1/2) = x multiply the first two (7/4) by 2/2 so there is a common denominator of 8 Then you have 14/8 + 14/8 + 7/8 = 35/8 = 4.375 cups
Answer:
30% that he chooses red and 30% that he chooses blue.
Step-by-step explanation:
4+3+3=10
Probabilities that he chooses green = 4/10 = 40%
Red = 3/10 = 30%
Blue = 3/10 = 30%
The answer would have to be 3+2x
