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LuckyWell [14K]
2 years ago
15

Rachel lives in a home with a value of $195,000 and has a mortgage of $160,000. She has electronic equipment worth $2,325. She i

s paying off the equipment with a loan of $875. Her car, which she owns, is worth $9,300. She has $6,890 in a bank account and $1,437 on her credit card. She owes $4,800 in student loans. She has a piano worth $1,200. Construct a net worth statement to find Rachel's net worth
Mathematics
1 answer:
Elan Coil [88]2 years ago
4 0

To Find :

Net worth of Rachel.

Solution :

Net worth is given by the (sum of all the assets she owns) -( total amount of loans she have ).

Net \ Worth=( 195000+160000+2325+9300+1437+1200)-(875+4800)\\\\Net \ Worth=\$\ 363587

Therefore, net worth of Rachel is $ 363587.

Hence, this is the required solution.

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What is the sum of any rational number and it's opposite
AnnyKZ [126]
To figure out this problem, you can look at formulas, or you can try out a few problems. There are many people that prefer one or the other in my class, so I will show you both. :)

Before I show you either of these, I'm going to define rational numbers and explain some things so that you can understand why we do what we do. Make sure to remember things like this because when you get to algebra (I'm in algebra), you need to know all of this stuff!  :)

A rational number is any number that can be written in a over b form (a/b) or as a fraction. A rational number can be positive or negative because you can put positive and negative numbers into a fraction. Decimals can also be rational numbers because things such as .3 can be written as 3/10. So, depending on what number you have, there is always an opposite. 

To find an opposite number, you have to basically find the absolute value (how far the number is from zero), double that number, and add it from the original number. Or, if you want to make it worlds easier, you can just make the number the opposite inverse. So, if it is -4, the opposite is 4. If the number is 7, then the opposite is -7. What is the sum between both of those examples? Zero.

Here is the formula: a+(-a)=0, (-a)+a=0
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Thanks so much for the opportunity to answer your question. I hope this helped! :)
5 0
3 years ago
Read 2 more answers
A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest.
Tju [1.3M]

$ 1850 was invested in 9% account

<u>Solution:</u>

Given that  

Total amount invested by man in two saving accounts = $9493

Simple interest on one account =9%

Simple interest on second account = 10%

Total interest earned = $930.80

Need to determine amount invested in 9 % account.

Let assume amount invested in account where Simple Interest is 9% = x

And assume amount invested in account where Simple Interest is 10% = y

As total amount invested in two accounts is $9493

=> x + y = 9493      

=> y = 9493 - x                              ------(1)

\text { Simple Interest }=\frac{\text { Amount Invested } \times \text {rate of interest } \times \text {time}}{100}

\begin{array}{l}{\text { Simple interest when rate of interest is } 9 \%=\frac{x \times 9 \times 1}{100}=\frac{9 x}{100}} \\\\ {\text { Simple interest when rate of interest is } 10 \%=\frac{y \times 10 \times 1}{100}=\frac{10 y}{100}}\end{array}

As total interest earned = $930.80

\begin{array}{l}{\Rightarrow \frac{9 x}{100}+\frac{10 y}{100}=930.80} \\\\ {\Rightarrow 9 x+10 y=930.80 \times 100} \\\\ {\Rightarrow 9 x+10 y=93080}\end{array}

On substituting value of y from equation(1) in above equation , we get

9x + 10 (9493 – x) = 93080

=> 9x  + 94930 – 10x = 93080

=> -x = 93080 – 94930

=> -x = -1850

=> x = 1850  

Amount invested in account where Simple Interest is 9% = x  = $1850

Hence $1850 was invested in 9% account.

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