Answer: Mrs Bell
Step-by-step explanation:
According to the information provided, Mrs. Bell's house has an interest rate of 4.175% or 0.04175, while Mr. Bentley's house has an interest rate of 4.25% or 0.0425.
Thus, Mrs. Bell benefits from the lower interest rate, as 4.25% exceeds her rate of 4.175%
Begin by determining the monthly interest rate as follows:
<span>Each month, we deduct the monthly rate and the 5% payment from $463, leading to the following formula:</span>
<span>
Therefore, after three months, Bridgette will have a remaining balance of $381.5 in her account.</span>
The characterization of HIJK as a parallelogram arises from the fact that the midpoints of both diagonals coincide at (1, 0), which indicates that these diagonals bisect each other. To explicitly demonstrate this, we determine that the midpoints of the diagonals HJ and IK are equal, confirming HIJK's properties as a parallelogram.
The formula for the sum of an arithmetic series is expressed as:
Sn=n/2(a1+an)
where:
n=total terms
a1=the initial term
an=the final term
given
n=18, an=275, Sn=4185
substituting these values into the equation results in:
4185=18/2(a1+275)
after simplification, we obtain:
4185=9(a1+275)
dividing by 9 yields:
465=a1+275
therefore
a1=465-275
a1=190
Conclusion: the first term is 190
<span>Denote x as the interval, then:
186 = 50 + 3 + (3+x) + (3+2x) + (3+3x) + (3+4x) + (3+5x) + (3+6x) + (3+7x)
186 = 74 + 28x
x = 4
Age of the eldest son = 3+7x = 3+28 = 31.</span>
