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pochemuha
2 years ago
14

Alonzo will rent a car for the weekend. He can choose one of two planes. The first plan has an initial fee of $38 and cost an ad

ditional $.12 per mile driven the second plan has an initial fee of $49 in cost an additional seven cents per mile driven. What amount of drive into the two plans cost the same? What is the cost when the two plans cost the same?
Mathematics
1 answer:
Naya [18.7K]2 years ago
8 0

Answer:

in 220 miles both plans will cost the same

Step-by-step explanation:

38 + .12m = 49 + .07m

38 + .05m = 49

.05m = 11

m = 11/.05

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3 years ago
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A rectangular plot of land is to be enclosed by a fence. One side is along a river, and does not need to be enclosed. If the tot
Bad White [126]

Answer:

Width 150 meters.

Length = 350 meters.

Step-by-step explanation:

Let us assume the  width of  the fence = k meters

So, both sides = k + k = 2k meters

Also, the TOTAL fencing length = 600 m

So, the one side length of the fence = (600 - 2 k) meters

AREA = LENGTH x WIDTH

⇒ A(k)  = (600 - 2k) (k)

or, A =  -2k² + 600 k

The above equation is of the form: ax² +bx +  C

Here: a  = - 2 , b = 600 and C = 0

As a< 0, the parabola opens DOWNWARDS.

Here, x value is given as:  x = \frac{-b}{2a}

Solving for the value of k similarly, we get:

k = \frac{-b}{2a}  = \frac{600}{2(-2)}  = 150

Thus the desired width = k = 150 meters

So, the desired dimensions of the plot  is width 150 meters.

And length = 650 - 2k = 650 - 300 = 350 meters.

5 0
2 years ago
A fish is 5 feet below the surface of a lake. If its position can be recorded as -5 feet what would the position of 0 represent
eduard
The surface of the lake.
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5
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2
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0   Here is the surface of the lake
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5 0
2 years ago
You plan on financing a new road bike for $2,500. The bike shop offers a 13.5% APR for a 24 month loan. Use this information, an
Mila [183]
This question can be approached using the present value of annuity formula. The present value of annuity is given by PV=P\left( \frac{1-\left(1+ \frac{r}{t} \right)^{-nt}}{ \frac{r}{t} } \right), where: PV is the present value/amount of the loan, P is the periodic (monthly in this case) payment, r is the APR, t is the number of payments in one year and n is the number of years.

Given that the<span> financing is for a new road bike of $2,500 and that the bike shop offers a 13.5% APR for a 24 month loan.

Thus, PV = $2,500; r = 13.5% = 0.135; t = 12 payments (since payment is made monthly); n = 2 years (i.e. 24 months)

Thus,

</span>2500=P\left( \frac{1-\left(1+ \frac{0.135}{12} \right)^{-2\times12}}{ \frac{0.135}{12} } \right) \\  \\ =P\left( \frac{1-\left(1+ 0.01125 \right)^{-24}}{ 0.01125 } \right)=P\left( \frac{1-\left(1.01125 \right)^{-24}}{ 0.01125 } \right) \\  \\ =P\left( \frac{1-0.764531}{ 0.01125 } \right)=P\left( \frac{0.235469}{ 0.01125 } \right)=20.9306P \\  \\ \Rightarrow P= \frac{2500}{20.9306} =119.44
<span>
Therefore, his monthly payment is $119.44</span>
6 0
3 years ago
tom orders a pizza for dinner. it is cut in 12 slices. if tom ate 5/6 of the pizza, he ate 5 copies of 1/6 of the pizza. how man
goldenfox [79]

Answer:

10/12 of the pizza

Step-by-step explanation:

5 0
3 years ago
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