Let's try to find some primes that divide this number.
The number is not divisible by 2, because it is odd.
The number is divisible by 3 though, because the sum of its digits is:
So, we can divide the number by 3 and keep going with the factorization:
This number is again divisible by 3, because
We have
This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have
And 557 is prime, so we're done. This means that the prime factorization of 65169 is
Answer:
$817.60
Step-by-step explanation:
Simple interest has the formula:
Simple Interest = Principal * rate * time
here,
Principal amount is $730
The rate of interest is 3%, which is 3/100 = 0.03
The time length in years is given as 4
We find the interest amount first:
SI = P * r * t
SI = 730 * 0.03 * 4
SI = 87.6
We are asked to find FINAL BALANCE, which is PRINCIPAL + INTEREST
So,
Final Balance = 730 + 87.6 = $817.60
Answer:
1. y = 10(1/3)^x
2. 24.8 bacteria per minute
Step-by-step explanation:
1.
When you raise a number between 0 and 1 to a positive exponent, the result is less than 1, so it indicates exponential decay.
The only such function in the choices is
Answer: y = 10(1/3)^x
2.
b(t) = 4(2)^t
b(0) = 4(2)^0 = 4
b(5) = 4(2)^5 = 128
average rate of change = (128 - 4)/(5 - 0) = 124/5 = 24.8
Answer: 24.8 bacteria per minute
Answer:
Number of boys = 12
Number of girls = 36
Step-by-step explanation:
Number of boys = x
Number of girls = 3*x = 3x
Total students = 48
x + 3x = 48
4x = 48
x = 48/4
x = 12
Number of boys = 12
Number of girls = 3*12 = 36
