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gregori [183]
3 years ago
6

Does anyone know this

Mathematics
1 answer:
MrRissso [65]3 years ago
6 0

nopeStep-by-step explanation:

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A. A group of twelve art students are visiting a local art museum for a field trip. The total cost of admission for the students
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Answer:

a) $10.42

b) 11 trips

c) 10 cookies

d) 12/125ths of a cheesecake (or 9.6%)

Step-by-step explanation:

a)  

Let x = the cost of admission for each student

Let y = the total cost of admission

⇒  y = 12x  

⇒  125 = 12x  

⇒  x = 125 ÷ 12  

⇒  x = 10.42

So the cost of admission for each student = $10.42

b)

Let x = the number of trips

Let y = the total number of passengers

⇒  y = 12x

⇒  125 = 12x  

⇒  x = 125 ÷ 12  

⇒  x = 10.42

Therefore, the van must make 11 trips in order to bring 125 passengers to the same location.  (If it took 10 trips, then it would only bring 120 passengers, hence why we have to round make 11 trips to bring the last 5 passengers).

c)

Let x = the number of cookies each neighbor will receive

Let y = the total number of baked cookies

⇒  y = 12x

⇒  125 = 12x  

⇒  x = 125 ÷ 12  

⇒  x = 10.42

Therefore, each neighbor will receive 10 cookies (we have to round it down, as if each neighbor received 11 cookies, we would need 132 in total).

d)

Let x = the number of cheesecakes purchased

Let y = the amount of cheescake each guest will receive

⇒  y = 125x

⇒  12 = 125x  

⇒  x = 12 ÷ 125

⇒  x = 12/125 = 0.096 = 9.6%

Therefore, each guest will receive 12/125ths of a cheesecake (or 9.6%).

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2 years ago
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The diagram below represents the first three terms of a sequence. Assuming the pattern continues,which formula determines an, th
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Writing the sequence numerically, we have 4, 7, 10, ...

This is an arithmetic sequence, since there is a constant, 3, added each time.  This gives us the explicit formula
a_n=4+3(n-1)

Using the distributive property, we have
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Find the accumulated amount of the annuity. (Round your answer to the nearest cent.) $1000 monthly at 4.6% for 20 years.
pantera1 [17]

Answer:

Accumulated amount will be $2504.90.

Step-by-step explanation:

Formula that represents the accumulated amount after t years is

A = A_{0}(1+\frac{r}{n})^{nt}

Where A = Accumulated amount

A_{0} = Initial amount

r = rate of interest

n = number of times initial amount compounded in a year

t = duration of investment in years

Now the values given in this question are

A_{0} = $1000

n = 12

r = 4.6% = 0.046

t = 20 years

By putting values in the formula

A = 1000(1+\frac{0.046}{12})^{240}

  = 1000(1+0.003833)^{240}

  = 1000(1.003833)^{240}

  = 1000×2.50488

  = 2504.88 ≈ $2504.90

Therefore, accumulated amount will be $2504.90.

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3 years ago
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