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Anit [1.1K]
4 years ago
8

Since 2005, the amount of money spent at restaurants in a certain country has increased at a rate of 8% each year, In 2005, abou

t $360 billion was spent at
restaurants. If the trend continues, about how much will be spent at restaurants in 2017?
​
Mathematics
1 answer:
Kryger [21]4 years ago
3 0

Answer:

This is an exponential growth problem.

 

The growth rate is 4% (0.04).

The time is 10 years (10 years from 2005 to 2015)

 

A = P(1+i)t

A = amount spent in 2015

P = amount spent in 2005

i = interest rate expressed as a decimal

t = # years

 

A = 500(1.04)10

A = 500(1.480244)

A = 740.122 ==> 740 billion

Step-by-step explanation:

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The Lockheed Martin X-35 was a concept demonstrator aircraft (CDA) developed by Lockheed Martin for the Joint Strike Fighter program. The X-35 was declared winner over the competing Boeing X-32 and a developed, armed version went on to enter production in the early 21st century as the F-35 Lightning II.

4 0
3 years ago
13. Which equation represents the line below?
Nonamiya [84]

Answer:

y = -2/3x + 3

Step-by-step explanation:

First, we need to calculate the slope of the line. We can do this by using the slope formula using two points:

(y₂ - y₁) / (x₂ - x₁)

If we take the points (-3,5) and (3,1), then: y₂ = 1; y₁ = 5; x₂ = 3; x₁ = -3

Next, we can substitute in values in the equation above to get (1 -5)/(3+3)

<em>** We got 3+3 because it was 3 - (-3), where two negatives equal a positive**</em>

Then, we get, -4/6, which simplifies to -2/3. Our slope is -2/3

After that, we need to find the y-intercept, which is where the line intercepts the y-axis. Here, that is at (0,3).

Therefore, if we put the above information into slope-intercept form:

y = mx + b --> m = -2/3; b = 3

y = -2/3x + 3

Though I don't think that answer choice is there...

8 0
3 years ago
Read 2 more answers
A company has two manufacturing plants with daily production levels of 7x+19 items and 2x−7 ​items, respectively. The first plan
Ghella [55]

Answer:

5x + 12

Step-by-step explanation:

8 0
3 years ago
24. Janet and Jack are walking in a two-day event to raise money for charity.
Serga [27]

Answer:

40 miles walk

Step-by-step explanation:

Let the miles walked by both of them be x at which money collected by same

for Janet

Fixed donation  asked = $7.50

money asked for walking 1 mile = $0.10

money made by Janet if he walks x miles = x*$0.10 = $0.10x

Total money collected by Janet = Fixed donation  asked + money made by Janet if he walks x miles

Total money collected by Janet =7.50 + 0.10x

For Jack

Fixed donation  asked = $5.50

money asked for walking 1 mile = $0.15

money made by Janet if he walks x miles = x*$0.15 = $0.15x

Total money collected by Jack = Fixed donation  asked + money made by Jack if he walks x miles

Total money collected by Jack =5.50 + 0.15x

we have to find miles at which money collected by both of them be same

and we have decided that it it as x mile walk then

Total money collected by Janet = Total money collected by Jack

7.50 + 0.10x = 5.50 + 0.15x

=> 7.50 - 5.50 = 0.15x - 0.10x

=> 2 = 0.05x

=> x = 2/0.05 = 40

Thus, at 40 miles walk money collected by both of them will be same

7 0
3 years ago
Prove the following trigonometric identities:
pishuonlain [190]

Convert everything to terms of sine and cosine:

\dfrac{\sec\theta}{\tan\theta}=\dfrac{\frac1{\cos\theta}}{\frac{\sin\theta}{\cos\theta}}

The factors of \dfrac1{\cos\theta} cancel to give

\dfrac1{\sin\theta}=\csc\theta

6 0
3 years ago
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