1. Find the H.C.F. of 4x2y3 and 6xy2z.
Solution:
The H.C.F. of numerical coefficients = The H.C.F. of 4 and 6.
Since, 4 = 2 × 2 = 22 and 6 = 2 × 3 = 21 × 31
Therefore, the H.C.F. of 4 and 6 is 2
Answer:
Interest Chaney earns after 3 years is $56.85
Step-by-step explanation:
Given:
Amount deposited = $1435.73
Simple annual interest rate = 1.32% = 1.32/ 100 = 0.0132
To find: Interest after 3 years
We know that the formula to calculate the interest amount is
Simple interest (S.I.) = 
where,
P is the initial amount deposited
r is the rate of simple interest in percentage
t is the time in years for which interest is to be calculated
Substituting the known values in the formula, we get
S.I = 
= 56.85
Hence the interest Chaney earns after 3 years is $56.85
Jacob has the faster time because if you make the fractions equal you would make the denominators equal by rounding 3/4 to have a denominator of 12 making it 9/12 which is larger then 5/12 making Daniel's time slower then Jacob's.
Answer:

Time for bacteria count reaching 8019: t = 2.543 hours
Step-by-step explanation:
To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:




Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:


Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.