The fundamental theorem of algebra states that a polynomial of degree has exactly n roots (including complex and multiple).
The degree of a polynomial is the highest (non-negative) exponent of the polynomial, in this case is 17 from the term 15x^17.
With annual compounding, the number of years for 1000 to become 1400 is 6.7 years
With continous compounding, the number of years for 1000 to become 1400 is 1.35 years
<h3>How long would it take $1000 to become $1,400?</h3>
With annual compounding, the formula that would be used is:
(In FV / PV) / r
Where:
- FV = future value
- PV = present value
- r = interest rate
(In 1400 / 1000) / 0.05 = 6.7 years
With continous compounding, the formula that would be used is:
(In 1400 / 1000) / (In e^r)
Where r = interest rate
((In 1400 / 1000) / (In e^0.05) = 1.35 years
To learn more about how to determine the number of years, please check: : brainly.com/question/21841217
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Answer:
Vinay jumped = 49m
Step-by-step explanation:
Given:
Shubham jumped = 41m
Ashish jumped = 3m less than Shubham
Vinay jumped = 11m more than Ashish
Find:
Length of Viney's jump
Computation:
Ashish jumped = Shubham jumped - 3m
Ashish jumped = 41m - 3m
Ashish jumped = 38m
Vinay jumped = Ashish jumped + 11m
Vinay jumped = 38m + 11m
Vinay jumped = 49m
<u>Methods to solve rational equation:</u>
Rational equation:
A rational equation is an equation containing at least one rational expression.
Method 1:
The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.
For example,

This can be used for rational equations with polynomials too.
For example,

When the terms in a rational equation have unlike denominators, solving the equation will be as follows



Method 2:
Another way of solving the above equation is by finding least common denominator (LCD)

Factors of 4: 
Factors of 8: 
The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

we get,

On cancelling 8 on both sides we get,

Hence, these are the ways to solve a rational equation.