Your salary in x years is modeled an the exponential growth
The equation that determines your salary in x years is y = 45000(1.05)^x
<h3>How to model the salary growth?</h3>
The model of the exponential growth is given as:
y = a(1 + r)^x
From the question, we have:
Initial salary, a = 45000
Raise, r = 5%
So, the equation becomes
y = 45000(1 + 5%)^x
Evaluate the sum
y = 45000(1.05)^x
Hence, the equation that determines your salary in x years is y = 45000(1.05)^x
Read more about exponential functions at:
brainly.com/question/11464095
Answer:
the two numbers are 3 and 3.
1/5 of 3 is 0.6
1/5 of 6 is 1.2
Step-by-step explanation:
3 + 3 = 6
(1/5)3 = 0.6
(1/5)6 = 1.2
36:21 in simplest form is 12:7, because 3 goes into both 36 and 21. Simplifying ratios is essentially the same thing as simplifying fractions. Once we have 12:7, we can't reduce any further, because 7 is prime.
Hope this helps!
In the standard form of the equation
![\\ \ f(t)=Acos[b(t\pm c)]+k\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%5C%20f%28t%29%3DAcos%5Bb%28t%5Cpm%20c%29%5D%2Bk%5C%5C%20%5C%5C%20)
The middle line =k
For our given problem
f(t) = 40cos (80t + 20)
On comparison we get k=0
Hence middle line=0
Answer:
24
Step-by-step explanation:
Rewriting input as fractions if necessary:
1/6, 3/8
For the denominators (6, 8) the least common multiple (LCM) is 24.
LCM(6, 8)
Therefore, the least common denominator (LCD) is 24.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/6 = 1/6 × 4/4 = 4/24
3/8 = 3/8 × 3/3 = 9/24
