60% or 3/5 of the tank will be filled in an hour.
The pump will fill 2/5 of the tank in 2/3 hours.
In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.
<em>2/5 of tank : 2/3 hours </em>
<em>x of tank : 1 hour </em>
Cross multiply to get:
2/3x = 2/5
x = 2/5 ÷ 2/3
x = 2/5 x 3/2
= 0.6 of the tank
= 60%
= 3/5 of tank
In conclusion, 60% of the tank will be filled in an hour.
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Answer:
The initial amount, A is approximately $19,991.1.
Step-by-step explanation:
The initial amount the man invests in the bank = A
The amount the man deposits after 15 years = $10,000
The amount in the account after 50 years = $251,894.21
The amount of money after every 15 years = 2 × Initial amount
Therefore, we have;
The amount in the account 15 years after when the man deposits another $10,000 = 2 × A
Therefore the initial amount at the 15th year = 2·A + 10000
The
We have;
2·A = A·(1 + r)¹⁵
(1 + r)¹⁵ = 2
1 + r = 2^(1/15)
r = 1 - 2^(1/15) = 0.04729412282
Therefore, we have;
On the 50th year, 50 - 15 = 35 year
$251,894.21 = (2·A + 10000)·(1 + 0.04729412282)³⁵
A = ($251,894.51/((1 + 0.04729412282)³⁵) - 10000)/2 ≈ $19991.1
The initial amount, A ≈ $19991.1.
Answer:
B. NO
Step-by-step explanation:
Figure B can only be a scale copy of Figure A if the ratio of their corresponding side lengths are equal.
Let's find out:
9/3 = 3
7.3/2.2 ≈ 3.3
Thus:
9/3 ≠ 7.3/2.2
Since the ratio of their corresponding side lengths are not equal, therefore Figure B is not a scale copy of Figure A.
The answer is NO.
Answer:The total probability that a random person has an accident in the given year is
.8×.01+.2×.04=0.016
The portion of that which is explained by careful drivers is .8×.01=.08. Thus the answer is
.8×.01.8×.01+.2×.04=.5
Thus it is equally likely that your accident victim was careful or careless.
Speaking informally, that's because, while it's four times more likely that a randomly selected driver is careful, it is one fourth as likely that a careful driver will have an accident, and the two
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
