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stiv31 [10]
2 years ago
5

Harry buys a wand for $12.50 plus 8% tax. Ron buys his sister a diary for $13 plus 8% tax. Write the sum, in dollars, that Harry

and Ron paid, including tax.​
Mathematics
1 answer:
Tanya [424]2 years ago
6 0

9514 1404 393

Answer:

  $27.54

Step-by-step explanation:

The straightforward way to do this is to compute the tax and total on each amount, then add those together. There is an easier way.

  ($12.50 + 0.08·12.50) + ($13.00 + 0.08·13.00) = $12.50·1.08 +13.00·1.08

  = 1.08($12.50 +13.00)

  = 1.08·$25.50

  = $27.54

Together, Ron and Harry paid a total of $27.54.

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Sam bought a car for $25,000 in 2009. Since then the car has depreciated in value by $1,500 a year. Write a function that will a
lesantik [10]

Answer: The car has a value of $17,500.

Explanation: The car was originally bought at $25,000 and was depreciated over 5 years by $1,500 a year. Over 5 years, the car would be depreciated by a total of $7,500 because $1,500 x 5 years equals $7,500 in total. Since you would distract the total depreciation cost from the original value to find the current value of the car, after 5 year of use, the car would be worth $17,500.

7 0
3 years ago
What is the surface are of the container of oatmeal shown below? use 3.14 for pi
Serjik [45]
The surface area of a cylinder is:

2 \pi rh+2 \pi r^2

So fill in the equation and solve:

2 \pi (8)(11)+2 \pi (8)^2
2 \pi 88+2 \pi 64
\pi 176+ \pi 128
\pi 304
3.14*304
954.56 cm^2

Hope this helps!

8 0
3 years ago
how many cheese pizzas can the girls buy if they pool all their money together they have $50.00 total and the cheese pizza 7.25
choli [55]
The girls could buy 6 cheese pizzas
6 0
3 years ago
A cylindrical 2014-t6 aluminum alloy bar is subjected to compression-tension stress cycling along its axis; results of these tes
Pani-rosa [81]

Complete part of Question:

Assume a factor of safety of 3.0

The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution

Answer:

The maximum allowable load amplitude is 6403.33 N

Step-by-step explanation:

diameter of the bar, d = 12 mm

d = 0.012 m

Cross sectional area of the bar, A = πd²/4

A = π*0.012²/4

A = 0.000113 m²

From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;

At 10⁷ cycles, Maximum stress, S = 170 MPa

S = 170 * 10⁶ Pa

Factor of safety, N = 3.0

The tensile stress is given by the formula:

\sigma = S/N\\\sigma = \frac{170 * 10^{6} }{3} \\\sigma = 56.67 * 10^{6} N/m^{2}

The tensile stress is also given by:

\sigma = F/A\\\sigma = F/0.000113

F/0.000113 = 56.67 * 10⁶

F = 56.67 * 10⁶ * 0.000113

F = 6403.33 N

The maximum allowable load amplitude is 6403.33 N

3 0
3 years ago
Read 2 more answers
a boat is going 144 miles upstream on a river. the speed of the boat in still water is 60 miles per hour. the speed of the river
Katena32 [7]

Answer:

Let  b  =  rate of the boat.

Let  r  =  rate of the river.

The rate going downstream is  b + r.

The rate going upstream is  b - r.

rate x time  =  distance

4(b + r)  =  144     --->     b + r  =  36     [divide both sides by 4]

9(b - r)  =  144      --->     b - r  =  16      [divide both sides by 9]

Add town:                          2b  =  52  

Divide by :                           b  =  26  mi/hr

                                           r  =  10  mi/hr

Step-by-step explanation:

5 0
3 years ago
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