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Jet001 [13]
3 years ago
10

Martin was going to the market to buy apples. The price for apples is $3.50 times the number of apples bought plus one-dollar ta

x. Write a polynomial function A that represents the price of apples in terms of n. If Martin bought 3^3 amount of apples. How much did the apples cost?
Mathematics
1 answer:
boyakko [2]3 years ago
3 0

A(n) = 3.50n + 1.00


Martin bought 3^3 apples or 27 apples.


Let n = 27


A(27) = 3.50(27) + 1.00


A(27) = $95.50

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Write an equation for: The quotient of a number and eight is five less than the number.
strojnjashka [21]

\frac{n}{8}  = n - 5
5 0
3 years ago
The new iPhone 3.14 is being sold at the UT Math Department. The original price is $1200 (day 0), but they are going to decrease
Marat540 [252]

\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&50.14\\ P=\textit{initial amount}\dotfill &1200\\ r=rate\to r\%\to \frac{r}{100}\dotfill\\ t=\textit{elapsed time}\dotfill &16\\ \end{cases}


\bf 50.14=1200(1-r)^{16}\implies \cfrac{50.14}{1200}=(1-r)^{16}\implies \sqrt[16]{\cfrac{50.14}{1200}}=1-r \\\\\\ r=1-\sqrt[16]{\cfrac{50.14}{1200}}\implies r\approx 0.18\implies \stackrel{\textit{converting to percent}}{r\approx 0.18\cdot 100}\implies r\approx \stackrel{\%}{18}\quad \leftarrow x

3 0
4 years ago
A person standing on a second floor balcony drops keys to a friend standing below the balcony. The keys are dropped from a heigh
Lostsunrise [7]

Answer:

sqrt(3/8) = t

.61237 = t

Step-by-step explanation:

h(t)=−16t^2+10

Let h(t) = 4

4 =−16t^2+10

Subtract 10 from each side

4-10 =−16t^2+10-10

-6 = -16 t^2

Divide by -16

-6/-16 = t^2

3/8 = t^2

Take the square root of each side

sqrt(3/8) = sqrt(t^2)

sqrt(3/8) = t

.61237 = t

We only take the positive since time is not negative

6 0
3 years ago
Schweser Satellites Inc. produces satellite earth stations that sell for $115,000 each. The firm's fixed costs, F, are $3 millio
ExtremeBDS [4]

The incremental profit is $175,000 and the new situation would obviously have less business risk than the old one.

<h3>Incremental profit</h3>

First step

Profit $600,000

Add Fixed cost $3,000,000

Contribution $3,600,000

Variable Cost=Total Sales−Contribution

Variable Cost=$115,000×50-$3,600,000

Variable Cost=$2,150,000

Second step

Profit at revised cost

Sales $8,625,000

(75x $115,000)

Less: Variable cost $4,350,000

[75×($3,000,000+$500,000/50-$12,000)]

Contribution $4,275,000

Less Fixed cost $3,500,000

($3,000,000+$500,000)

Profit $775,000

Incremental profit=Profit at revised cost-Existing profit

Incremental profit=$775,000-$600,000

Incremental profit=$175,000

Expected rate of return=Incremental profit/Investment

Expected rate of return=$175,000/$4,000,000×100

Expected rate of return=$4.375%

2. Break-even point

Existing

Break-even point=Fixed cost/Contribution

Break-even point=$3,000,000/[($115,000-($3,000,000+$500,000/50)]

Break-even point=$3,000,000/[($115,000-$70,000)

Break-even point= 66.67

Revised

Break-even point=Fixed cost/Contribution

Break-even point=$3,500,000/[($110,000-($3,000,000/50)]

Break-even point=$3,000,000/[($110,000-$60,000)

Break-even point=60

II. The new situation would obviously have less business risk than the old one.

Learn more about incremental profit here:

brainly.com/question/15968520

#SPJ1

7 0
2 years ago
Find the quotient.<br><br> 154 divided by 14
Softa [21]

Answer:

11

Step-by-step explanation:

\frac{154}{14} =11\\\\check: 11*14=154

5 0
3 years ago
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