Answer:
C
Step-by-step explanation:
1. Plug 7/8 into the expression:
4(7/8)
2. Multiply:
4 * 7/8 = 28/8 = 3.5
3.5 < 4
Answer:
5.25
Step-by-step explanation:
27 = 8a - 15
We have to find "a" here.
We add 15 to each side. The 15 cancels out on the left, and we are left with 27+15 = 42. We then have to divide by 8 on each side to get the "a" by itself.
42/8 = 5.25. We can check our work by answering the "number" with the word problem. 8 * 5.25 = 42 and then 42-15 = 27. Our number gets the answer 27, therefore the answer is 5.25!
Hope this helps.
( y - 4 ) ( y² + 4 y + 16 ) = y³ + 4 y² + 16 y - 4 y² - 16 y - 64
The result is a polynomial of the form:
y³ + 4 y² + a y - 4 y² - a y + 64;
Answer: a = 16
Answer: 11/24
Convert 3/8 to 9/24
Convert 1/12 to 2/24
Add them together to get 11/24
If I did a poor job explaining I can help more in the comments.
Answer:
Left: The substance is decreasing by 1/2 every 12 years
Right: The substance is decreasing by 5.61% each year
Step-by-step explanation:
exponential decay
A = P(1-r)ᵇⁿ, where A is the final amount, P is the initial amount, r is the rate decreased each time period, b is the number of years, and n is the number of times compounded each year
let's write each formula in terms of this
left:
f(t) = 600(1/2)^(t/12)
matching values up...
A = P(1-r)ᵇⁿ
A = f(t)
P = 600
1 - r = 1/2 -> r = 1/2
t/12 = bn -> b = number of years = t, so bn = b/12 -> n = 1/12. Thus, it is compounded 1/12 times each year, so it is compounded every t*12 = 12 years. If it was compounded each month, it would be compounded 12 times a year
Thus, this is decreasing by a rate of 1/2 each 12 years
right:
f(t) = 600(1-0.0561)^(t)
matching values up...
A = P(1-r)ᵇⁿ
A = f(t)
P = 600
1 - r = 1 - 0.0561 -> r = 0.0561 = 5.61%
t = bn -> b = number of years = t, so bn = b -> n = 1. Thus, it is compounded annually (1 time each year)
Thus, this is decreasing by a rate of 5.61% each year
