Answer:
it's B it could also be written as y=3x+30
Step-by-step explanation:
6% of a + 10% of (9000 - a) = 790
a = 2750
(9000 - a) = 6250
The amount invested at 6% is 2750.
The amount invested at 10% is 6250.
<h3>What is a percentage?</h3>
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total amount = $9000
Let the part invested for 6% = a
Let the part invested for 10% = (9000 - a)
Now,
6% of a + 10% of (9000 - a) = 790
6% = 6/100 = 0.06
10% = 0.1
0.06a + 0.1(9000 - a) = 790
0.06a + 900 - 0.1a = 790
-0.04a = 790 - 900
0.04a = 110
a = 110/0.04
a = 2750
Now,
9000 - a = 9000 - 2750 = 6250
Thus,
The amount invested at 6% is 2750.
The amount invested at 10% is 6250.
Learn more about percentages here:
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Answer:
7 FLowers
Step-by-step explanation:
If you take away 3 from 12, you end up with 9, then you take 2 more away, leaving you with 7 flowers.
Answer:
$175
Step-by-step explanation:
25% of $140 = $35
$140 + $35 = $175
Answer:
P(F/W)= 0.5/(1-0.5^N)
Step-by-step explanation:
Since each component is independent of the others then the probability that the system works:
P(W) = probability that the system works = 1 - probability that the system do not work
the system will not work only if the N components fail , then
probability that the system do not work= (1-p)^N
where
p= probability that a component works = 0.5
thus
P(W)= 1- (1-p)^N = 1 - 0.5^N
then we can use the theorem of Bayes for conditional probability . Defining the event F= the component 1 works , then
P(F/W)=P(F∩W)/P(W)=P(F)/P(W)= 0.5/(1-0.5^N)
P(F/W)= 0.5/(1-0.5^N)
where
P(F/W)= probability that component 1 works, given that the system is functioning
P(F∩W) = probability that the component 1 works and system functions = P(F) (if the component 1 works , the system will automatically work)