Answer:
The blank exponent is 3
Step-by-step explanation:
It is given that n^x=1/64 where n=1/4
1/4^x=1/64
1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.
Answer: 6 years
Step-by-step explanation:
Formula to calculate compound amount:
, where P= Principal , r=rate of interest, t= time
Given: P = £400, r = 3% = 0.03 , A= 475
Required equation: 

Taking log on both sides , we get

Hence, he needs to invest the money for 6 years to get atleast £475.
Answer:
3802 8/9
Step-by-step explanation:
So what you do is you make 52 1/3 and 72 2/3 improper fractions like 157/3 and 218/3. Then you multiply and get 34218/9. Then you simplafiy and get 3802 8/9
Answer: C. J=5
Step-by-step explanation: Hope this help :D
Answer:
C
Explanation:
A: 2 in. by 2 in. by 1 in. = 4 cubic inches
B: 1 in. by 1 in. by 1 in. = 1 cubic inches
C: 2 in. by 1.5 in. by 0.5 in. = 1.5 cubic inches
D: 3 in. by 0.5 in. by 1.5 in. = 2.25 cubic inches
Therefore, the answer is C.