Answer: The cube root of 10 is 2.1544, using an initial value of -0.003723.
Step-by-step explanation: The Newton-Raphson method is utilized for root finding, and its formula is NR: X=Xo-(f(x)/f'(x)). Before applying this formula, the derivative of the equation must be determined. Given that X =10, this method was implemented to identify the best root to ascertain the cube root of 10 to 5 significant figures. Utilizing software like Excel for quicker iteration calculations is advisable. The found root in this instance was -0.003723.
Response:
$3,000
Detailed breakdown:
This scenario is centered around compound interest, with the formula for compound interest defined as
Provided Data
A = final amount =?
P = initial principal balance = $2,500
r = interest rate
= 2.1%= 0.021
t = number of time units passed= 14 years
By inserting our data into the compound interest equation, we can determine the final amount
Therefore, rounding to the nearest hundred gives us an account balance of $3,000
Answer:
150 short-sleeve shirts were ordered
100 long-sleeve shirts were ordered