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kompoz [17]
2 years ago
10

The Peach Festival charges $12 for admission and $2.25 for each pound of peaches picked. Write an equation for the total cost y

if you pick x pounds of peaches. Use your equation to find the total cost of attending the festival and picking 5 pounds of peaches.
Mathematics
1 answer:
Airida [17]2 years ago
5 0
<h2>Answer:y=12+2.25x,$23.25</h2>

Step-by-step explanation:

It is given that $12 is charged for admission.

It is given that $2.25 is charged for each pound of peaches picked.

So,cost for x peaches is 2.25x

The total cost of admission and picking x peaches is 12+2.25x

When x=5,

total cost is 12+2.25(5)=12+11.25=23.25

So,it costs $23.25 for admission and picking 5 peaches.

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Austin purchased a new laptop in 2018 for $1875. The laptop decreases in value by 30% each year. What is the value of the laptop
sukhopar [10]
There would be no value to the laptop. If you’re looking for the actual value, it would be worth $-375.
7 0
2 years ago
An article estimates, with 90% confidence, that the proportion of elementary school teachers who are female is 82%. The article
GREYUIT [131]

Answer:   (80% , 85%)

Step-by-step explanation:

We know that, confidence interval for population proportion is given by :-

(p-E , p+E)

, where p = sample proportion , E = Margin of error.

Given : Proportion of elementary school teachers who are female = 82%.

The article also states the maximum error of their estimate = 3%.

Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :

(82%-2% , 82%+3%)

= (80% , 85%)

Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)

5 0
2 years ago
Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer is related to the average u
soldier1979 [14.2K]

x = f ( p ) = \frac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } } \\\\ \qquad { p ( t ) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \quad ( 0 \leq t \leq 60 ) }

Answer:

12.0 tablet computers/month

Step-by-step explanation:

The average price of the tablet 25 months from now will be:

p ( 25) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { 25 } } + 200 \\= \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \times 5 } + 200\\\\=\dfrac { 400 } { 1 + \dfrac { 5 } { 8 } } + 200\\p(25)=\dfrac { 5800 } {13}

Next, we determine the rate at which the quantity demanded changes with respect to time.

Using Chain Rule (and a calculator)

\dfrac{dx}{dt}= \dfrac{dx}{dp}\dfrac{dp}{dt}

\dfrac{dx}{dp}= \dfrac{d}{dp}\left[{ \dfrac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } }\right] =-\dfrac{100}{9}p(810,000-p^2)^{-1/2}

\dfrac{dp}{dt}=\dfrac{d}{dt}\left[\dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \right]=-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}

Therefore:

\dfrac{dx}{dt}= \left[-\dfrac{100}{9}p(810,000-p^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}\right]

Recall that at t=25, p(25)=\dfrac { 5800 } {13} \approx 446.15

Therefore:

\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009

The quantity demanded per month of the tablet computers will be changing at a rate of 12 tablet computers/month correct to 1 decimal place.

8 0
2 years ago
it says priya's family exchanged 250 dollars for 4,250 pesos. Riya bought a sweater for 510 pesos. how many did the sweater cost
AfilCa [17]
It says priya's family exchanged 250 dollars for 4,250 pesos. Riya bought a sweater for 510 pesos. how many did the sweater cost?

6 0
2 years ago
Read 2 more answers
What is the area of a trapezoid with height 5m and bases 8m and 1m.
tankabanditka [31]
Area of a trapezoid:
A = 1/2 * ( b 1 + b 2) *h
b 1 = 8 m,  b 2 = 1 m,  h = 5 m;
A = 1/2*( 8 + 1 ) * 5 = 1/2 * 45 = 22.5
Answer: B ) 22.5 m²
8 0
2 years ago
Read 2 more answers
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