Answer:
0.238
Step-by-step explanation:
you just have to put it in a calculator and the find the third decimal out.
Answer:
x = 13
Step-by-step explanation:
54 divided by (13 + 5) = 3
Answer:
its 6
Step-by-step explanation:
hope it helps......
Answer:
6 years
Step-by-step explanation:
A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:
![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8
![y=ab^x\\8=ab^0\\a=8](https://tex.z-dn.net/?f=y%3Dab%5Ex%5C%5C8%3Dab%5E0%5C%5Ca%3D8)
Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:
![y=ab^x\\y=8(1.2^x) \\](https://tex.z-dn.net/?f=y%3Dab%5Ex%5C%5Cy%3D8%281.2%5Ex%29%20%5C%5C)
To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x
![20=8(1.2)^x\\20/8=1.2^x\\1.2^x=2.5\\Taking \ natural\ log\ of \ both\ sides:\\ln(1.2^x)=ln2.5\\xln(1.2)=0.9163\\x=0.9163/ln(1.2)\\x=5.026](https://tex.z-dn.net/?f=20%3D8%281.2%29%5Ex%5C%5C20%2F8%3D1.2%5Ex%5C%5C1.2%5Ex%3D2.5%5C%5CTaking%20%5C%20natural%5C%20log%5C%20of%20%5C%20both%5C%20sides%3A%5C%5Cln%281.2%5Ex%29%3Dln2.5%5C%5Cxln%281.2%29%3D0.9163%5C%5Cx%3D0.9163%2Fln%281.2%29%5C%5Cx%3D5.026)
x = 6 years to the nearest year