Answer:
Step-by-step explanation:
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5. ![\displaystyle 1000[0,85]^8 = 272,490525 ≈ \$272,49](https://tex.z-dn.net/?f=%5Cdisplaystyle%201000%5B0%2C85%5D%5E8%20%3D%20272%2C490525%20%E2%89%88%20%5C%24272%2C49)
4. ![\displaystyle 1000 = a \\ -15\% + 100\% = 1 - r; 85\% = 1 - r \\ 8\:years = time\:[t]](https://tex.z-dn.net/?f=%5Cdisplaystyle%201000%20%3D%20a%20%5C%5C%20-15%5C%25%20%2B%20100%5C%25%20%3D%201%20-%20r%3B%2085%5C%25%20%3D%201%20-%20r%20%5C%5C%208%5C%3Ayears%20%3D%20time%5C%3A%5Bt%5D)
3. ![\displaystyle /text{We need to use the "Exponential Decay" formula} - f(t) = a[1 - r]^t, where a > 0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%2Ftext%7BWe%20need%20to%20use%20the%20%22Exponential%20Decay%22%20formula%7D%20-%20f%28t%29%20%3D%20a%5B1%20-%20r%5D%5Et%2C%20where%20a%20%3E%200)
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I am joyous to assist you anytime.
Answer:
A) x=9/2 B) x=-1/5, 1/2
Step-by-step explanation:
3x-9=27/1-5x
3x-9=27-5x
3x-(-5x)-9=27
3x+5x-9=27
8x-9=27
8x=27+9
8x=36
x=36/8
simplify
x=9/2
Answer: x=9/2
-----------------------------
10x-1/x=3
(10x^2-1)/x=3
10x^2-1=3*x
10x^2-1=3x
10x^2-3x-1=0
factor out the trinomial,
find two numbers that when they multiply,
you get the third term, which is -1 in this case.
When you add those 2 numbers, you get the second term,
which is -3 in this case.
(5x+1)(2x-1)=0
apply the zero property from here,
set 5x+1=0 and 2x-1=0 and solve for x.
5x=0-1=-1, x=-1/5,
2x=0+1=1, 2x=1, x=1/2.
So x=-1/5, 1/2.
Answer:
25
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF),
25
Answer:
1.1
Step-by-step explanation:
In this image, we can see that every box, we add 0.2
From 0.1 to 0.3, we add 0.2
We continue with this pattern for the rest of the boxes
When adding decimals, you can imagine it like you are adding normal numbers, and that you are carrying extra (more than 9) to the next column in the same way.
{column/place value}
At first, it might seem like adding 0.2 to 0.9 would result in 0.11, but let's think that through a little bit more. We know that 0.1 is less than 0.2, so, it doesn't make sense for that to be the sum.
Instead, we have to carry the 11 over to the other side of the decimal. (This is because each place value is equal to 10 of the value to the right. If we add digits in the ones place that add up to 10, we carry the "1" over to the right, into the tens place.)
So, we carry the "1" from 11 to the one's place. Now, we are left with
1.1
(hope this helps!! decimals can be tricky at first)
Percent means out of 100 so 80/100.....
