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LuckyWell [14K]
1 year 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]1 year 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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Find the magnitude of wx for w(-3 5 4) and x(9 5 3)
Hatshy [7]

Answer:  Magnitude of wx is \sqrt{145}

Step-by-step explanation:

Since we have given that

w(-3,5,4)=-3\hat{i}+5\hat{j}+4\hat{k}\\\\x(9,5,3)=9\hat{i}+5\hat{j}+3\hat{k}

Now, first we will find 'wx':

wx=Initial-Final\\\\wx=(9+3)\hat{i}+(5-5)\hat{j}+(3-4)\hat{k}\\\\wx=12\hat{i}-1\hat{k}

We need to find the "magnitude":

\mid wx\mid=\sqrt{12^2+1^2}=\sqrt{144+1}=\sqrt{145}

Hence, Magnitude of wx is \sqrt{145}

3 0
1 year ago
Read 2 more answers
Suzy earns $175 more per week than her roommate Katie and 125 less per week than her roommate Janine. Together the three friends
Serhud [2]
Suzy makes 675
Katie makes 500
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5 0
1 year ago
Yuson must complete 210 min of community service. She does 30 min each day. Which linear equation represents the number of minut
Misha Larkins [42]

Answer:

y=-30x+210

Step-by-step explanation:

Let

x -----> the number of days

y ----> the number of minutes Yuson has left

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept (initial value)

In this problem we have

The slope is equal to

m=-30\frac{min}{day} ----> is negative because is a decreasing function

b=210\ min ----> initial value

substitute the values

y=-30x+210

3 0
2 years ago
Matthew manages the packaging department of his company. Yesterday, the department operated for only 4 hours due to a company pi
yKpoI14uk [10]

Alright, lets get started.

If Matthew wants to complete packages at an average rate of at least 39 packages per hour.

And they worked 4 hrs only due to picnic, yesterday, it means they have to make 39*4 = 156 packages.

But they made only 112 packages means they are short of 156 - 112 = 44 packages.

Suppose they are working today t hrs, and his department will complete 43 packages per hour today.

It means they are going to make 43 t packages today.

This 43 t packages includes those 44 too , which they are short of yesterday due to picnic.

So, average will be

\frac{43 t - 44}{t} = 39 (39 average given in question)

Cross multiplying

39 t = 43 t - 44

Adding 44 in both sides

39 t + 44 = 43 t - 44 + 44

43 t = 39 t + 44

Subtracting 39 t in both sides

43 t - 39 t = 39 t + 44 - 39 t

4t = 44

Dividing 4 in both sides

t = 11 hrs

Hence they have to woth 11 hrs today : Answer

Hope it will help :)

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2 years ago
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What is the sum of 9.8 and 573.54
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583.34 Youre Welcome!
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