Not sure how to go at this at all, please help.
2 answers:
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Answer:
Business-equipment loan, A=$15000
Small-business loan, B=$24000
home-equity loan, C= $39000
Step-by-step explanation:
Let the Business-equipment loan at an interest rate of 11%=A
Let the small-business loan was at an interest rate of 5% =B
Let her home-equity loan was at an interest rate of 4.5%.=C
Since her total Loan=$78000
A+B+C=78000....(I)
Simple Interest = (P X R X T)/100
Since the Time, T=1 year
Interest on A = 0.11A
Interest on B = 0.05B
Interest on C = 0.045C
The total simple interest due on the loans in one year was $4605.
0.11A+0.05B+0.045C=4605....(II)
The annual simple interest on the home-equity loan was $105 more than the interest on the business-equipment loan.
0.045C = 0.11A +105...(III)
We proceed to solve the simultaneous equations.
A+B+C=78000....(I)
0.11A+0.05B+0.045C=4605....(II)
0.045C = 0.11A +105...(III)
From (III), 0.045C = 0.11A +105
Substitute 0.045C = 0.11A +105 into (II).
0.11A+0.05B+0.11A +105=4605
0.22A+0.05B=4500
From (III),
Substitute into (I)
3(31A+9B)=9 X 227000
31A+9B=681000
0.22A+0.05B=4500 (Multiply by 9)
31A+9B=681000 (Multiply by 0.05)
1.98A+0.45B=40500
1.55A+0.45B=34050
Subtracting
0.43A=6450
A=$15000
From (III)
C=$39000
from (I)
A+B+C=78000
15000+B+39000=78000
B=$24000
Mean: 160.12
Standard Deviation: 19.76
Median: 162
Maximum: 202
Minimum: 120
The mean is calculated by adding all of the numbers in the data set and dividing by the number of values that were added:
173 + 123 + 171 + 175 + 188 + 120 + 177 + 160 + 151 + 169 + 162 + 128 + 145 + 140 + 158 + 132 + 202 + 162 + 154 + 180 + 164 + 166 + 157 + 171 + 175 ÷ 25 = 160.12
Standard deviation is found by calculating the mean (160.12) , and then subtracting the mean and square root result for each number. Finally, working out the mean of the squared differences and taking the square root of the final answer results in a standard deviation of 19.76. (The attached image has the formula for finding standard deviation).
Median is the number that is found in the middle when placing the numbers in order from least to greatest.
The maximum is the largest number in the data set.
The minimum is the smallest number in the data set.
Standard Deviation: 19.76
Median: 162
Maximum: 202
Minimum: 120
The mean is calculated by adding all of the numbers in the data set and dividing by the number of values that were added:
173 + 123 + 171 + 175 + 188 + 120 + 177 + 160 + 151 + 169 + 162 + 128 + 145 + 140 + 158 + 132 + 202 + 162 + 154 + 180 + 164 + 166 + 157 + 171 + 175 ÷ 25 = 160.12
Standard deviation is found by calculating the mean (160.12) , and then subtracting the mean and square root result for each number. Finally, working out the mean of the squared differences and taking the square root of the final answer results in a standard deviation of 19.76. (The attached image has the formula for finding standard deviation).
Median is the number that is found in the middle when placing the numbers in order from least to greatest.
The maximum is the largest number in the data set.
The minimum is the smallest number in the data set.