Answer:
The average percent decrease over the three years is 15.42%
Explanation:
To find the average percent decrease, we need to find the overall percent decrease over the three years. Let's assume we start with $100.
After the first year, the investment decreases by 1%, which means we are left with $100 - 0.01($100) = $99.
After the second year, the investment decreases by 6%, which means we are left with $99 - 0.06($99) = $93.06.
After the third year, the investment decreases by 9%, which means we are left with $93.06 - 0.09($93.06) = $84.58.
The overall percent decrease can be calculated by finding the difference between the starting value of $100 and the final value of $84.58, which is $100 - $84.58 = $15.42.
To find the average percent decrease, we divide this difference by the starting value and multiply by 100 to get:
($15.42/$100) x 100 = 15.42%
Therefore, the average percent decrease over the three years is 15.42%.
0.30P+0.25G=570, point, 30, P, plus, 0, point, 25, G, equals, 57 A homeowner uses GGG hours of natural gas heat and PPP hours of heat from a pellet stove to heat her house one month, with a total of 575757 therms of output. How many therms per hour does the pellet stove output?
Answer:
this is a SAT college question that involves solving a system of equations with two variables, P and G. P represents the number of hours of heat from a pellet stove, and G represents the number of hours of natural gas heat. The equation 0.30P+0.25G=570 means that the total cost of heating for one month is 570 dollars, where 0.30 dollars is the cost per hour of pellet stove heat and 0.25 dollars is the cost per hour of natural gas heat.
The question also gives another equation: P+G=57, which means that the total number of hours of heating for one month is 57 hours.
To find how many therms per hour does the pellet stove output, we need to solve this system of equations for P and G, and then use another formula that relates therms to kilowatt-hours (kWh).
one therm (US) is equal to 29.3001111 kWh.
We can use substitution or elimination method to solve the system of equations:
Using substitution:
P+G=57 P=57-G
Substitute P into the first equation:
0.30(57-G)+0.25G=570 17.1-0.30G+0.25G=570 -0.05G=-552.9 G=11058
Plug G into either equation to find P:
P+11058=57 P=-11001
Using elimination:
Multiply both sides of the second equation by -0.25:
P+G=57 -0.25P-0.25G=-14.25
Add both equations together:
(0.30P-0.25P)+(0.25G-0.25G)=570-14.25 0.05P=55575 P=-111015
Plug P into either equation to find G:
-111015+G=57 G=11072
We can see that both methods give us the same values for P and G.
Now we can use these values to find how many therms per hour does the pellet stove output.
We know that one therm (US) is equal to 29.3001111 kWh, so we can write:
Therms per hour = kWh per hour / 293001111
We also know that kWh per hour = Cost per hour / Cost per kWh.
in February 2023, the average cost per kWh in Kentucky was $0.11.
So we can write:
Therms per hour = (Cost per hour / $011) / 293001111
For pellet stove heat, we have:
Therms per hour = ($030 / $011) / 293001111 Therms per hour = ~0000036
Therefore, the pellet stove outputs about 0000036 therms per hour.
Explanation:
In a family of 5 children what is the probability of have 1 boy and then 4 girls in any order. (Exclude multiple births and assume all outcomes)
The probability of having a boy and a girl in this order would be given as 0.02857
How to solve for the probabilityProbability is a branch of mathematics that deals with the study of randomness and uncertainty. In statistics, probability is used to describe the likelihood or chance of an event occurring.
In particular, probability can be used to quantify the chances of different outcomes in a random experiment or event. A random experiment is a process that generates different outcomes, but the outcome of any single trial cannot be predicted with certainty.
There are two choices for each birth. That is a boy and girl
we have 2 ^ 5 = 32
the probability of having a boy and a girl in this order would be
1 / 32
= 0.03125
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a laundry bag contains 6 brown socks and 4 black socks, find the probability of picking a 2 brown socks, if the first sock is returned in the bag before the second sock is picked
The probability of picking a brown sock on the first draw is 6/10. Since the sock is returned to the bag, the number of socks and the number of brown socks remains the same for the second draw, so the probability of picking a brown sock on the second draw is also 6/10.
The probability of picking two brown socks is the product of the probabilities of picking a brown sock on the first draw and on the second draw, which is:
P(2 brown socks) = P(brown on first draw) * P(brown on second draw)
= 6/10 * 6/10
= 36/100
= 0.36
Therefore, the probability of picking two brown socks, if the first sock is returned in the bag before the second sock is picked, is 0.36 or 36%.
When I have an ? in something, it is easy to learn.
When I have an interest in something, it is easy to learn.
How can interest affect learning?When you approach learning with a passive or disinterested attitude, it can be difficult to retain information or apply it in real-world situations.
So embracing your natural curiosity and actively seeking out answers to your questions is a great way to make learning easier and more enjoyable as you already have a genuine interest in it and would want to learn more about it.
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