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Lapatulllka [165]
2 years ago
4

Antoine went on vacation to las vegas. his room cost $115.62 each night. his flight there cost $45.70 and his flight home was $3

2.49. he averaged $15.00 per day on food. on the first day antoine won $75.00 and on the last day he lost $25.00. if he stayed for 3 months and 4 days, how much did the entire trip (including airfare, food, hotel, and winnings) cost him?
Mathematics
1 answer:
kirill115 [55]2 years ago
3 0

The 2 legs of the flight: 45.70 + 32.49   =        78.19

115.62 for room 94 days                        =  10868.28

15.00 for x 94 days                                =    1410.00 

75.00 winnings                                       =        75.00

25.00 losses                                           =        25.00  

                                                                      ------------

                                                                    12406.47                      

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Vera uploaded a hilarious video of a squirrel to a funny videos website. It was viewed 320 times on the first day. Each day sinc
Ainat [17]

Answer:

f(n) =320\times (1.25)^{n-1}

Step-by-step explanation:

On first day , the video was viewed = 320 times .

We are given that Each day since then, the number of views was 25% more than the day before. This means the likes are increasing 1.25 per day .

So, this situation forms G.P.

Where common ratio r = 1.25

First term = f(1) = 320

Formula of nth term in G.P. = f(n) =f(1)\times r^{n-1}

So, nth term of the given situation :

f(n) =320\times (1.25)^{n-1}

Where f(n) denotes the number of views on nth day .

So, the number of views Vera's video got on the nth day = 320\times (1.25)^{n-1}

7 0
2 years ago
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A machine produces 374 bolts in 33 minutes. At the same rate, how many minutes would it take to produce 272 bolts?
lesya [120]
374 = 33
272 = x

374/33 = 272/x

x=(33*272)/374=24 minutes
4 0
2 years ago
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What is the value of z in the equation 3z - 7 = 14
Arte-miy333 [17]
This is simply solving an equation...

You do this...

3x-7=14
    +7   +7
---------------
3z=21
---  ----
3     3

z=7
hope this helped! Give me a 5-rate and a thanks if so!
6 0
2 years ago
A water trough has two congruent isosceles trapezoids as ends and two congruent rectangles as sides.
BlackZzzverrR [31]

Answer:

Part a) The exterior surface area is equal to 160\ ft^{2}

Part b) The volume is equal to 240\ ft^{3}

Part c) The volume water left in the trough will be 84\ ft^{3}

Step-by-step explanation:

Part a) we know that

The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles

so

<em>Find the area of two rectangles</em>

A=2[12*5]=120\ ft^{2}

<em>Find the area of two trapezoids</em>

A=2[\frac{1}{2}(8+2)h]

Applying Pythagoras theorem calculate the height h

h^{2}=5^{2}-3^{2}

h^{2}=16

h=4\ ft

substitute the value of h to find the area

A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}

The exterior surface area is equal to

120\ ft^{2}+40\ ft^{2}=160\ ft^{2}

Part b) Find the volume

We know that

The volume is equal to

V=BL

where

B is the area of the trapezoidal face

L is the length of the trough

we have

B=20\ ft^{2}

L=12\ ft

substitute

V=20(12)=240\ ft^{3}

Part c)

<em>step 1</em>

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

A=\frac{1}{2}(5+2)(2)=7\ ft^{2}

<em>step 2</em>

Find the volume

The volume is equal to

V=BL

where

B is the area of the trapezoidal face

L is the length of the trough

we have

B=7\ ft^{2}

L=12\ ft

substitute

V=7(12)=84\ ft^{3}

4 0
2 years ago
Choose the product. -7p 3(4p 2 + 3p - 1)
DIA [1.3K]

Answer:

14p -3

Step-by-step explanation:

-7p 3(4p 2+3p - 1)

3x4= 12p

3x3=9p

12+9= 21

21-7=14p

3x2=6

3x-3=-9

-9 +6= -3

= 14p -3

hope this helps :)

7 0
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