Answer:
y = 10(1.01)^60
Step-by-step explanation:
The general equation of exponential growth is
y = ab^x
b has to do with the rate of growth.
b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.
Now we have
y = a(1.01)^x
a is the initial value, so now we have
y = 10000(1.01)^x
where y is the number of books after x months
Since you need the number of books after 5 years, we must convert 5 years into months.
5 years * (12 months)/year = 60 months
The problem wants the expression in thousands of books, so we divide the initial value by 1000.
Answer: y = 10(1.01)^60
Expression representing the number of books after 5 years,
[tex]A(60)=10000(1.01)^{60}[/tex]
[tex]A(t)=A_0(1+r)^t[/tex]
Here, [tex]A(t)=[/tex] Final amount
[tex]A_0=[/tex] Initial amount
[tex]r=[/tex] Growth rate
[tex]t=[/tex] Duration or time
Given in the question,
Substitute these values in the expression,
[tex]A(t)=A_0(1+r)^t[/tex]
[tex]A(60)=10000(1+0.01)^{60}[/tex]
Therefore, expression representing the number of books after 5 years will be → [tex]A(60)=10000(1.01)^{60}[/tex]
Learn more about the exponential growth here,
https://brainly.com/question/10709151?referrer=searchResults
