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SSSSS [86.1K]
2 years ago
12

Laura earns $134,350 per year. Use Laura’s income tax rate to determine what her monthly deduction should be . ( the tax is 28%)

. Laura takes the following deductions from income when filling her taxes: charity : $4000 mortgage interest $12,200 property tax $4090 if she paid the estimate found above, how much will her redound be?
Mathematics
1 answer:
Andreyy892 years ago
4 0
Answer: Her refund would be $5,681.20.

The problem says that Laura paid the estimate above, which is 28%.
0.28 x 134350 = 37618

However, she had some deductions.
134350 - 4000 - 12200 - 4090 = 114060

So, to find the tax on this amount, we multiply it again by 0.28.
0.28 x 114060 = 31936.8

The amount of the refund will be the difference.
37618 - 31936.8 = 5681.2
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Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th
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The interval of the provided bidding is [$10,000,$12,000]. The probability is calculated as,

\begin{array}{c}\\P\left( {X{\rm{ < 12,000}}} \right){\rm{ = }}1 - P\left( {X > 12000} \right)\\\\ = 1 - \int\limits_{12000}^{15000} {\frac{1}{{15000 - 10000}}} dx\\\\ = 1 - \int\limits_{12000}^{15000} {\frac{1}{{5000}}} dx\\\\ = 1 - \frac{1}{{5000}}\left[ x \right]_{12000}^{15000}\\\end{array}

=1- \frac{[15000-12000]}{5000}\\\\=1-0.6\\\\=0.4

(b)  The interval of the accepted bidding is [$10,000,$15,000], where b = $15,000 and a =$10,000. The interval of the given bidding is [$10,000,$14,000].

\begin{array}{c}\\P\left( {X{\rm{ < 14,000}}} \right){\rm{ = }}1 - P\left( {X > 14000} \right)\\\\ = 1 - \int\limits_{14000}^{15000} {\frac{1}{{15000 - 10000}}} dx\\\\ = 1 - \int\limits_{14000}^{15000} {\frac{1}{{5000}}} dx\\\\ = 1 - \frac{1}{{5000}}\left[ x \right]_{14000}^{15000}\\\end{array} P(X14000)

=1- \frac{[15000-14000]}{5000}\\\\=1-0.2\\\\=0.8

(c)

The amount that the customer bid to maximize the probability that the customer is getting the property is calculated as,  

The interval of the accepted bidding is [$10,000,$15,000],

where b = $15,000 and a = $10,000. The interval of the given bidding is [$10,000,$15,000].

\begin{array}{c}\\f\left( {X = {\rm{15,000}}} \right){\rm{ = }}\frac{{{\rm{15000}} - {\rm{10000}}}}{{{\rm{15000}} - {\rm{10000}}}}\\\\{\rm{ = }}\frac{{{\rm{5000}}}}{{{\rm{5000}}}}\\\\{\rm{ = 1}}\\\end{array}

(d)  The amount that the customer bid to maximize the probability that the customer is getting the property is $15,000, set by the seller. Another customer is willing to buy the property at $16,000.The bidding less than $16,000 getting considered as the minimum amount to get the property is $10,000.

The bidding amount less than $16,000 considered by the customers as the minimum amount to get the property is $10,000, and greater than $16,000 will depend on how useful the property is for the customer.

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Answer:

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Step-by-step explanation:

Part 1) Choose the two equations that represent the situation

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x ----> the number of museum visits

y ----> the total cost for the visit to the art museum

we know that

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y=(15+25)x\\y=40x

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Round to the nearest whole number (Remember that the number of visits cannot be a decimal number)

therefore

The smallest number of visits is equal to 4

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