Answer:
The balance will be $7,577.03.
Step-by-step explanation:
The compound interest formula is given by:
Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:
Semianually means twice a year, so
We want to find A when .
So
The balance will be $7,577.03.
The monthly budget plan for Judy includes all of her income and expenses, the total balance is $ 2362.92 and she spends $ 1083.
<h3>What is the monthly budget?</h3>A monthly budget is a personal spending plan that you use to track your monthly income and costs.
The given data in the problem is;
Home pay = $2314.92/month.
Interest earned = $48 / month
House rent = $825/month
EMI of student loan = $258/month
Total earning per month = $2314.92 + $48
Total earning per month = $ 2362.92
Amount she spends per month = $825/month + $258
Amount she spends per month = $ 1083
Hence, the total balance will be $ 2362.92 and she spend $ 1083.
To learn more about the monthly budget refer to:
#SPJ1
The constant should be added to form a perfect square trinomial will be 1/4. Then the correct option is D.
<h3>What is a quadratic equation?</h3>It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.
The expression is x² + x.
Then the constant should be added to form a perfect square trinomial.
Then the constant will be
The square of the half of the coefficient of the variable x is to be added to make a perfect square.
Then the constant will be 1/4.
Then the perfect square will be
More about the quadratic equation link is given below.
#SPJ1