Answer:
it is a rational number
Step-by-step explanation:
hope dis helps ;D
Answer: The area is 201.06
Answer:
a) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntay
The answer you are looking for is 40 hours. they gave you the answer in the statement above when they said he gets time-and-a-half for any hours beyond 40. So he only worked 40 regular pay hours and got 4 hours overtime for time-and-a-half.
Using an exponential function, the inequality is given as follows:
![9400(0.857)^t < 6000](https://tex.z-dn.net/?f=9400%280.857%29%5Et%20%3C%206000)
The solution is t > 2.9, hence the tax status will change within the next 3 years.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
![A(t) = A(0)(1 - r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20-%20r%29%5Et)
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
For this problem, the parameters are given as follows:
A(0) = 9400, r = 0.143.
The population after t years is modeled by:
![A(t) = A(0)(1 - r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20-%20r%29%5Et)
![A(t) = 9400(1 - 0.143)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%209400%281%20-%200.143%29%5Et)
![A(t) = 9400(0.857)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%209400%280.857%29%5Et)
The tax status will change when:
![A(t) < 6000](https://tex.z-dn.net/?f=A%28t%29%20%3C%206000)
Hence the inequality is:
![9400(0.857)^t < 6000](https://tex.z-dn.net/?f=9400%280.857%29%5Et%20%3C%206000)
Then:
![(0.857)^t < \frac{6000}{9400}](https://tex.z-dn.net/?f=%280.857%29%5Et%20%3C%20%5Cfrac%7B6000%7D%7B9400%7D)
![\log{(0.857)^t} < \log{\left(\frac{6000}{9400}\right)}](https://tex.z-dn.net/?f=%5Clog%7B%280.857%29%5Et%7D%20%3C%20%5Clog%7B%5Cleft%28%5Cfrac%7B6000%7D%7B9400%7D%5Cright%29%7D)
![t\log{0.857} < \log{\left(\frac{6000}{9400}\right)}](https://tex.z-dn.net/?f=t%5Clog%7B0.857%7D%20%3C%20%5Clog%7B%5Cleft%28%5Cfrac%7B6000%7D%7B9400%7D%5Cright%29%7D)
Since both logs are negative:
![t > \frac{\log{\left(\frac{6000}{9400}\right)}}{\log{0.857}}](https://tex.z-dn.net/?f=t%20%3E%20%5Cfrac%7B%5Clog%7B%5Cleft%28%5Cfrac%7B6000%7D%7B9400%7D%5Cright%29%7D%7D%7B%5Clog%7B0.857%7D%7D)
t > 2.9.
The solution is t > 2.9, hence the tax status will change within the next 3 years.
More can be learned about exponential functions at brainly.com/question/25537936
#SPJ1