To reach a savings goal of $300,000 at the end of 25 years, you need to invest approximately $4,206.42 semiannually with a 5% interest rate compounded semiannually.
To calculate the amount of money you need to invest semiannually to reach a savings goal of $300,000 at the end of 25 years, you can use the formula for the future value of an annuity:
FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)
Where FV is the future value, P is the amount you need to invest each period, r is the interest rate per period (5% in this case), n is the number of compounding periods per year (2 for semiannual compounding), and t is the number of years.
Inserting the given values into the formula:
FV = P * ((1 + 0.05/2)^(2*25) - 1) / (0.05/2)
Solving for P:
P = FV * (r/n) / ((1 + r/n)^(n*t) - 1)
Substituting the values:
P = 300,000 * (0.05/2) / ((1 + 0.05/2)^(2*25) - 1)
Calculating the value of P, we find:
P ≈ 4206.42
Therefore, you need to invest approximately $4,206.42 semiannually to reach your savings goal of $300,000 in 25 years.
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A polynomial multiple by a polynomial is always a polynomial. The given statement is true.
Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
When two polynomials are multiplied by each other, then each term of the first polynomial is multiplied by each term of the second polynomial.
The result is always a polynomial, regardless of what the coefficients might be of any of the terms, including the leading coefficients.
Thus, A polynomial multiples by a polynomial is always a polynomial.
Learn more about polynomials;
Answer:
-11
Step-by-step explanation:
-3 2/3 divide 1/3
-11/3 / 1/3
-11/3 *3/1=-33/3 = -11
the solutions?
A 4
B -1 and 4
C 1 and -3
Answer:
1 and -3
Step-by-step explanation:
The values of the graph is where the graph intersect at the line x
Which is 1 and -3