Answer:
9 or -17
Step-by-step explanation:
Hello!
The distance can be positive or negative, as we are just counting the number of units they are apart.
To find the possible coordinates for G, we can add or subtract 13 from -4 to find the possible coordinates for G.
<h3>Find G</h3>
- -4 + 13 = G1
-4 - 13 = G2
- 9 = G1
-17 = G2
The possible coordinates of G are 9 or -17.
Answer:
5.93 years
Step-by-step explanation:
The continuous compounding formula tells you the amount after t years will be ...
A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years
7400 = 5500e^(0.05t)
ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs
t = 20×ln(74/55) ≈ 5.93
It will take about 5.93 years for $5500 to grow to $7400.
Answer:
24 is the largest fraction fell by 12 to 19
Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.
<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.
In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:
.
It halves in value at t years, for which A(t) = 0.5A(0), hence:
![A(t) = A(0)(0.88)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%280.88%29%5Et)
![0.5A(0) = A(0)(0.88)^t](https://tex.z-dn.net/?f=0.5A%280%29%20%3D%20A%280%29%280.88%29%5Et)
![(0.88)^t = 0.5](https://tex.z-dn.net/?f=%280.88%29%5Et%20%3D%200.5)
![\log{(0.88)^t} = \log{0.5}](https://tex.z-dn.net/?f=%5Clog%7B%280.88%29%5Et%7D%20%3D%20%5Clog%7B0.5%7D)
![t\log{0.88} = \log{0.5}](https://tex.z-dn.net/?f=t%5Clog%7B0.88%7D%20%3D%20%5Clog%7B0.5%7D)
![t = \frac{\log{0.5}}{\log{0.88}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Clog%7B0.5%7D%7D%7B%5Clog%7B0.88%7D%7D)
t = 5.42.
It takes 5.42 years for the car to halve in value.
More can be learned about exponential functions at brainly.com/question/25537936
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