Answer: 120
Step-by-step explanation:
The total number of digits from 1 to 9 = 10
The number of digits from less than 5 (0,1,2,3,4)=5
Since repetition is not allowed so we use Permutations , then the number of 3-digit different codes will be formed :-

The number of digits from greater than 4 (5,6,7,8,9)=5
Similarly, Number of 3-digit different codes will be formed :-

Hence, the required number of 3-digit different codes = 60+60=120
Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
Step-by-step explanation:





Simple interest is given by:
S.I.=(PRT)/100
where:
P=principle
R=rate
T=time
from the question:
P=2681.04
R=13%
T=12 months=1 year
thus;
S.I=(2681.04×1×1.3)/100
=$34.85352
The total amount payable will be:
Total amount=principle+interest
=34.85342+2681.04
=$2715.90 This is approximately equal to $2,710.08
Answer:
2/7<4/5<5/6<7/9
Step-by-step explanation: