Answer:
Step-by-step explanation:
Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.
Therefore, we can set up the following equation to find the new balance after 2 years:
Answer: The goal was $500
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Work Shown:
x% = x/100
175% = 175/100 = 1.75
Let g be the goal, which is the amount of money the club wanted to raise
175% of goal = 175% of g = 1.75g
The expression 1.75g represents how much money was actually raised, which was $875. Set the two expressions equal to each other. Solve for g
1.75g = 875
g = 875/1.75 ....... divide both sides by 1.75
g = 500
The club's goal was to raise $500
Note how 75% of $500 is 0.75*500 = 375
When they raised 175% of the goal, this means they went 75% overboard and added on 375 additional dollars (on top of the 500 they wanted). So they got to 500+375 = 875 which lines up with the instructions. This helps verify the answer.
Or we can see that 1.75*g = 1.75*500 = 875 which helps confirm the answer as well.
Answer:
E. 396/538
Step-by-step explanation:
The probability that the senior selected will not be from High School B given that the senior did not answer colege:
First, what's the probability of not having answered college? This will be out denominator.
P(not choosing college) = 244 + 106 + 188 = 538
Next, what's the probability that a senior in that category is not from HS B? Well, add the probabilities that the senior is in HS A or C:
P(senior is in HS A or C and answered not college) = 49 + 99 + 63 + 83 + 31 + 71 = 396
<u>Our answer is E. 396/538.</u>
Answer:
a. is B b. is D
Step-by-step explanation:
