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Bumek [7]
2 years ago
9

Shelley is self-employed in Texas and recently attended a two-day business conference in New Jersey. After Shelley attended the

conference, she had dinner with an old friend who lived nearby. Shelley documented her expenditures (described below). What amount can Shelley deduct?
Mathematics
1 answer:
MaRussiya [10]2 years ago
7 0

Answer:

The amount deductible by Shelley is $2,929

Step-by-step explanation:

Using the table below as the missing information:

Airfare to New Jersey $ 2,180

Meals $238

Lodging in New Jersey $432

Rental car $198

All the above expenses are fully deductible by Shelley except the meal which is half deductible.

Half of the meal expenses is:

= 238 / 2 = $119

So the amount deductible by Shelley is:

2180 + 119 + 432 + 198

= 2929

Therefore, the amount deductible by Shelley is $2,929

You might be interested in
Kara starts tying a baby quilt at the local community center. Each quilt takes 200 ties to complete. Ten minutes later Julie joi
Tju [1.3M]

Answer:

a) K(t)=6\frac{tie}{min}(t)

b)J(t)=11\frac{tie}{min}(t)

c)T_{f}(t)=K(t+10)+J(t) where T_{f}(t)= number ties finished per unit time

d) t≅8.24min

e) K=109tie

   J=91tie

f) K≅16.6min

  J≅9.09min

Step-by-step explanation:

Data

Kara_{(K)}=6\frac{tie}{min}\\Julie(J)=11\frac{tie}{min}

Kara begins ten minutes before julie, so when julie joins kara she has 60 ties

t=10 k=6\frac{tie}{min}*10min=60tie

a) K(t)=6\frac{tie}{min}(t)

b)J(t)=11\frac{tie}{min}(t)

c)T_{f}(t)=K(t+10)+J(t) where T_{f}(t)= number ties finished per unit time

d) if kara already has 60 ties and makes 6 per minute and Julie makes 11 per minute then per minute they makes 17 ties, so one minute per 17 ties for 200 ties ¿how long?. t=\frac{(200-60)tie*min}{17tie}≅8.24min

e) K=60tie+6tie/min*8.24min=109tie

   J=11tie/min*8.24min=91tie

f) K=100tie*min/6tie≅16.6min

  J=100tie*min/11tie≅9.09min

Note: the amount of ties were rounded to the nearest decimal

6 0
2 years ago
a tip jar contains 48 coins, all nickels, dimes, and quarters. the total value of the coins in 5.40. if thr value of the dimes i
Butoxors [25]

Answer:

number of nickle coins = 20

number of dime coins = 11

number of quarter coins = 17

Step-by-step explanation:

Worth of coins in one dollar : 1 quarter = 25% , 1 dime = 10%, 1 nickle = 5%

Now, let number of nickle coins be x and number of quarter coins be y

Number of dimes = 55% less than number of nickle

⇒ Number of dimes = 0.55·x

Now, according to question, Total number of coins in the jar = 48

⇒ x + 0.55·x + y = 48

⇒ 1.55·x + y = 48.........(1)

Total value of coins in the jar = 5.40

⇒ 0.05·x + 0.01 × 0.55·x + 0.25·y = 5.40

⇒ 0.0555·x + 0.25·y = 5.40

⇒ 5.55·x + 25·y = 540..........(2)

On solving (1) and (2), We get

x = 19.88 ≈ 20

y = 17.19 ≈ 17

Hence, number of nickle coins = 20

number of dime coins = 11

number of quarter coins = 17

3 0
2 years ago
Use the calculator to find the product. (1.466 × 10–8)(5.02 × 105) What is the coefficient of the product? What is the exponent
olasank [31]

Answer:

Step-by-step explanation:

The calculator says that the answer is 7.36 * 10^-3.

This has been rounded to the proper number of significant digits. 5.02 has only 3 sig digs.

Coefficient: 7.36

Exponent: - 3

Note your calculator might give you 0.00736 but that is really 7.36 * 10^-3

6 0
2 years ago
Read 2 more answers
A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado l
solniwko [45]

Question:

The question is incomplete. The display technology was not given. Find below the complete question and the answers.

Display from technology:

Hypothesis Test Results

μ : Mean of variable      

H₀ : μ=2.7 miles

HA  : μ >2.7 miles

Variable     Sample Mean      Std. Err.        DF           T-Stat            P-value

Length            3.23601        0.285185      499        2.230166        0.0131

Step-by-step explanation:

From the result obtained, we have;

Null hypothesis:   H₀ : μ=2.7 miles

Alternative hypothesis:   HA  : μ >2.7 miles

Test statistics = 2.230166

P-value =  0.0131

Significant level: α = 0.05

Since the P value is less than the significance level, we can reject the null hypothesis.

There is no sufficient evidence to support the claim that the mean tornado length is greater than 2.7 miles

3 0
2 years ago
Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth. From the least to the greatest, the
natima [27]

Answer:

  • See the graph attached
  • x₁ ≈ - 2.1
  • x₂ ≈ 0.2

Explanation:

To solve log (−5.6x + 1.3) = −1 − x graphycally, you must graph this system of equations on the same coordinate plane:

  • Equation 1: y = log (5.6x + 1.3)
  • Equatin2:    y = - 1 - x

1) To graph the equation 1 you can use these features of logarithmfunctions:

  • Domain: positive values ⇒ -5.6x + 1.3 > 0 ⇒ x < 13/56 (≈ 0.23)

  • Range: all real numbers (- ∞ , ∞)

  • x-intercept:

        log ( -5.6x + 1.3) = 0 ⇒ -5.6x + 1.3 = 1 ⇒x = 0.3/5.6 ≈ 0.054

  • y-intercept:

       x = 0 ⇒ log (0 + 1.3) = log (1.3) ≈ 0.11

  • Pick some other values and build a table:

        x            log (-5.6x + 1.3)

        -1           0.8

        -2           1.1

        -3           1.3

  • You can see such graph on the picture attached: it is the red curve.

2) Graphing the equation 2 is easier because it is a line: y = - 1 - x

  • slope, m = - 1 (the coeficient of x)
  • y - intercept, b = - 1 (the constant term)
  • x - intercept: y = 0 = - 1 - x ⇒ x = - 1
  • The graph is the blue line on the picture.

3) The solution or solutions of the equations are the intersection points of the two graphs. So, now the graph method just requires that you read the x coordinates of the intersection points. From the least to the greatest, rounded to the nearest tenth, they are:

  • <u><em>x₁ ≈ - 2.1</em></u>
  • <u><em>x₂ ≈ 0.2</em></u>

8 0
2 years ago
Read 2 more answers
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