Answer:
745 books are expected to be donated to the library at the end of Month 10
Step-by-step explanation:
There were 80 books donated at the library:
No=80
The number of books donated to a library is increasing by 25% each month:
There were 100 books donatd at the end of Month 1:
N1=100
N1=No+25%No
N1=No+(25/100)No
N1=No+0.25 No
N1=(1+0.25) No
N1=(1.25) No
(1) N1=(1.25)^1 No
N1=(1.25)^1 80
N1=(1.25) 80
N1=100
N2=N1+25%N1
N2=N1+(25/100)N1
N2=N1+0.25 N1
N2=(1+0.25) N1
N2=(1.25) N1
Replacing equation (1) in the equation above:
N2=(1.25) (1.25)^1 No
N2=(1.25)^(1+1) No
(2) N2=(1.25)^2 No
N3=N2+25%N2
N3=N2+(25/100)N2
N3=N2+0.25 N2
N3=(1+0.25) N2
N3=(1.25) N2
Replacing equation (2) in the equation above:
N3=(1.25) (1.25)^2 No
N3=(1.25)^(1+2) No
(3) N3=(1.25)^3 No
In general:
Nt=N(t)=(1.25)^t No
N(t)=(1.25)^t (80)
N(t)=80 (1.25)^t
where t is the number of the month
How many books are expected to be donated to the library at the end of Month 10?
t=10
N(10)=80 (1.25)^10
N(10)=80 (9.313225746)
N(10)=745.0580596
Rounding to the nearest whole number:
N(10)=745
Answer:
1/4, 1/2, .67, 3/4, 7/8, 1.78, 3.2, 6, 9
Answer:
the temperature rose by 34*F
Step-by-step explanation:
-13*F + 34 = 21*F
Answer:
3.43 hours
Step-by-step explanation:
A castle has to be guarded 24 hours a day. 7 knights are ordered to split each day guard duty equally. How long will each knight spend on guard duty in one day?
From the above question:
7 knights = 24 hours
1 knight = x hours
Cross Multiply
7 knights × x hours = 1 knight × 24 hours
x hours = 1 knight × 24 hours/ 7 knights
x hours = 3.4285714286 hours
Approximately = 3.43 hours
Therefore, each knight would spend 3.43 hours on guard duty in one day
