Answer:
Option (D) is correct.
Step-by-step explanation:
We know that exponential decline in Math can be termed as a consistent reduction of an amount by percentage over a certain period of time.
It can be expressed using the formula
y = a (1-b)ˣ
here
- y represents the final amount
- a represents the original amount
- b represents the decay factor
- x represents the amount that has passed
Now, map our problem using the same concept formula
as
3000 students were enrolled, so
as High School has been experiencing an annual decline of 2.2% in enrollment, so
so substituting b = 0.022 and a = 3000
y = a (1-b)ˣ
y = 3000 (1 - 0.022)ˣ
as
so the expression becomes
y = 3000 (0.978)ˣ
Therefore, option (D) is correct.
Here’s a picture of you answer hopefully that helps ♀️
Answer:
4/7
Step-by-step explanation:
When you multiply by fractions you multiply the numerators and denominators
4/1 x 1/7
Anything that doesnt have anything under it always has a 1 as its denominator
Answer:
Options b) and c) are correct
Step-by-step explanation:
Given: fractions are ![\frac{5}{8},\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%2C%5Cfrac%7B5%7D%7B4%7D)
To find: the common denominator
Solution:
Multiply both numerator and denominator of
by 2
![\frac{5}{4}=\frac{5(2)}{4(2)}=\frac{10}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D%3D%5Cfrac%7B5%282%29%7D%7B4%282%29%7D%3D%5Cfrac%7B10%7D%7B8%7D)
So,
have same denominator 8.
Now multiply numerator and denominator of
by 2, ![\frac{5}{8}=\frac{5(2)}{8(2)}=\frac{10}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%3D%5Cfrac%7B5%282%29%7D%7B8%282%29%7D%3D%5Cfrac%7B10%7D%7B16%7D)
Now multiply numerator and denominator of
by 4, ![\frac{5}{4}=\frac{5(4)}{4(4)}=\frac{20}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D%3D%5Cfrac%7B5%284%29%7D%7B4%284%29%7D%3D%5Cfrac%7B20%7D%7B16%7D)
So,
have same denominator 16.
Hence, options b) and c) are correct