question 21\n5 pts\nsonny and cher have a net worth of $81,661 and total assets of $201,646. if their short…

question 21\n5 pts\nsonny and cher have a net worth of $81,661 and total assets of $201,646. if their short - term liabilities total $3,052, what are their long - term liabilities?\nquestion 22\n5 pts\nelena purchased a stamp collection for $7,222 five years ago. if it appreciated 7.1% annually, what is it worth today? (keep 2 decimal places)\nquestion 23\n5 pts\nmike and teresa have a monthly gross income of $5,867, but they pay $585 per month in taxes. they also pay $1,527 per month in various loan payments. what is their debt service ratio? (keep 2 decimal places)
Answer
Question 21
Explanation:
Step1: Recall net - worth formula
Net worth = Total assets - Total liabilities. First, find total liabilities. Let total liabilities be $L$. Then $L=\text{Total assets}-\text{Net worth}$. $L = 201646 - 81661=119985$
Step2: Calculate long - term liabilities
Let long - term liabilities be $L_{long}$. We know that Total liabilities = Short - term liabilities+Long - term liabilities. So $L_{long}=L - \text{Short - term liabilities}$. $L_{long}=119985 - 3052 = 116933$
Answer:
$116933$
Question 22
Explanation:
Step1: Use compound - interest formula
The compound - interest formula for appreciation is $A = P(1 + r)^n$, where $P$ is the initial price, $r$ is the annual interest rate, and $n$ is the number of years. Here, $P = 7222$, $r=0.071$, and $n = 5$. $A=7222\times(1 + 0.071)^5$
Step2: Calculate the value
First, calculate $(1 + 0.071)^5=1.071^5\approx1.41477$. Then $A = 7222\times1.41477\approx10217.47$
Answer:
$10217.47$
Question 23
Explanation:
Step1: Recall debt - service ratio formula
The debt - service ratio formula is $\text{Debt - service ratio}=\frac{\text{Monthly loan payments}}{\text{Monthly gross income}}$. Here, the monthly loan payments are $1527$ and the monthly gross income is $5867$. $\text{Debt - service ratio}=\frac{1527}{5867}\approx0.26$
Answer:
$0.26$