Answer:
(64)^-4= 1/64^4= 1/16777216
Answer: 48 books
Step-by-step explanation: Start by converting 60% to a decimal/fraction (60/100). From there, you can multiply it by the total (80) to get the answer.
Answer: ![a_{25} = 128](https://tex.z-dn.net/?f=a_%7B25%7D%20%3D%20128)
Step-by-step explanation:
You need to use this formula:
![a_n = a_1 + (n - 1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%20%28n%20-%201%29d)
Where
is the nth] term,
is the first term,"n" is the term position and "d" is the common diference.
You must find the value of "d". Substitute
,
and
into the formula and solve for "d":
![48 = 8 + (9 - 1)d\\48=8+8d\\48-8=8d\\40=8d\\d=5](https://tex.z-dn.net/?f=48%20%3D%208%20%2B%20%289%20-%201%29d%5C%5C48%3D8%2B8d%5C%5C48-8%3D8d%5C%5C40%3D8d%5C%5Cd%3D5)
Now, you can calculate the 25th term substituting into the formula these values:
![a_1=8](https://tex.z-dn.net/?f=a_1%3D8)
and
Then you get:
![a_{25} = 8 + (25 - 1)5](https://tex.z-dn.net/?f=a_%7B25%7D%20%3D%208%20%2B%20%2825%20-%201%295)
![a_{25} = 8 + 120](https://tex.z-dn.net/?f=a_%7B25%7D%20%3D%208%20%2B%20120)
![a_{25} = 128](https://tex.z-dn.net/?f=a_%7B25%7D%20%3D%20128)