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Nat2105 [25]
3 years ago
5

Since 2006​, the amount of money spent at restaurants in a certain country has increased at a rate of 4​% each year. In 2006​, a

bout ​$500 billion was spent at restaurants. If the trend​ continues, about how much will be spent at restaurants in 2016​?
Mathematics
2 answers:
Kobotan [32]3 years ago
7 0
For this case we have the following exponential function:
 y = A (b) ^ x
 Where,
 A: initial amount
 b: growth rate
 x: time in years
 Substituting the values we have:
 y = 500 (1.04) ^ 10
 y = 740.1221425
 Rounding:
 y = $ 740 billion
 Answer:
 It will be spent at restaurants $ 740 billion in 2016
Ray Of Light [21]3 years ago
4 0

Answer:

750 billion

Step-by-step explanation:

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△ABC is a right isosceles triangle, the centers of two arcs are the midpoint of AB
mel-nik [20]

Answer:

  0

Step-by-step explanation:

Let's define 3 areas:

  • S = area of semicircle with radius 6 in (diameter AB)
  • T = area of quarter circle with radius 6√2 in (radius AC)
  • U = area of triangle ABC (side lengths 6√2)

The white space between the "moon" and the triangle has area ...

  white = T - U

Then the area of the "moon" shape is ...

  moon = S -white = S -(T -U) = S -T +U

The area we're asked to find is ...

  moon - triangle = (S -T +U) -U = S -T

__

The formula for the area of a circle of radius r is ...

  A = πr²

So, ...

  S = (1/2)π(6 in)² = 18π in²

and

  T = (1/4)π(6√2 in)² = 18π in²

The difference in areas is S -T = (18π in²) -(18π in²) = 0.

There is no difference between the areas of the "moon" and the triangle.

4 0
3 years ago
Juan has 436 baseball cards and 189 football cards. How many more baseball cards than football cards does Juan have ?
Juliette [100K]
436 - 189 = 247 more football cards
8 0
3 years ago
(solving rates) At a school camp
masha68 [24]
5 days food for 150 students suggests there was 750 day rations

If there was 100 students this would last 750/100 = 7.5 days.

If it ran out after 4 days there were 750/4 = 187 students (187.5 not valid)
4 0
3 years ago
Orlando is doing a math problem where he needs to dilate a triangle by a scale factor of four. The ordered pairs for his pre-ima
Rainbow [258]
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.

On this exercise is given that a triangle with vertices (-2,1), (8,4), and (3,0) was dilated by a scale factor of four, and it is asked to find the vertices of the image of the triangle after the dilation occurred.

Pre-image                       Image
(-2,1)  --   (-2*4,1*4)   --   (-8,4)
(8,4)   --    (8*4,4*4)   --    (32,16)
(3,0)   --    (3*4,0*4)   --    (12,0)

The coordinates representing the vertices of the triangle's image are (-8,4), (32,16), and (12,0); meaning that the ordered pair which is not a coordinate for a point in the triangle's image is (2,1).



5 0
3 years ago
Read 2 more answers
A. x = 1<br> b. x = 2 <br> c. x = 0<br> d. x = 3
ella [17]
I think d but not sure
3 0
3 years ago
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