If a sum of money is deposited in a savings account that is paying x percent annual interest the this sum of money increases by a factor of(1+x) squared after 2 years.
multiply this expression.
evaluate the polnomial expression found in part A for an annual interest rate of 50%
x=0.5
To multiply the expression (1+x) squared, we need to expand it.
The expression (1+x) squared means we multiply (1+x) by itself. So, we have:
(1+x) squared = (1+x) * (1+x)
To multiply these two expressions, we can use the distributive property. This means we multiply each term in the first expression by each term in the second expression.
(1+x) * (1+x) = 1 * 1 + 1 * x + x * 1 + x * x
Simplifying:
= 1 + x + x + x^2
Combining like terms:
= 1 + 2x + x^2
This is the expanded form of (1+x) squared.
Now, to evaluate the polynomial expression for an annual interest rate of 50%, we substitute x = 0.5 into the expression.
Substituting x = 0.5:
1 + 2(0.5) + (0.5)^2
Calculating:
= 1 + 1 + 0.25
= 2.25
Therefore, when the annual interest rate is 50%, the polynomial expression evaluates to 2.25.