1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Stels [109]
3 years ago
13

1. Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

Answer:

The value after 7 years is $ 855355.65

Solution:

Given that, Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year

To find:  exponential function to find the annual sales after 7 years

The exponential growth function is given as:

Where,

"a" is the initial amount

"y" is the future value

"r" is the rate of interest in decimal

"t" is the number of years

Here in this given question,

a = 650000

t = 7 years

Substituting the values in given formula,

Thus the value after 7 years is $ 855355.65

Step-by-step explanation:

You might be interested in
Two lengths of a triangle are shown.
Solnce55 [7]

Answer:

11 ft

Step-by-step explanation:

Given the two lengths of a triangle as

AB = 6ft

AC = 6ft

This is an isosceles triangle because only 2 sides are equal.

In an isosceles triangle, the sum of 2 (sides) lengths must be greater than the other length.

Therefore, let's assume the following:

i) AC + AB > BC

6 + 6 > BC

12 > BC (BC is less than 12)

BC < 12

ii) BC + AC > AB

BC + 6 > 6

BC > 6 - 6

BC > 0

Therefore the range of values for BC =

0 < BC < 12

Since BC must be bigger than one of the lengths and it must also be less than the sum of the 2 sides. The length of BC could be 11 because it is less than (6+6) 12 and greater than 6.

5 0
3 years ago
Write the expression in algebraic form. [hint: sketch a right triangle.] tan(arcsec(x/3))
WARRIOR [948]

Sketch  a right triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x” and assigning angle “a” as the angle between A and H. Using Pythagorean theorem, you will get “square root of x-squared minus 9” as the opposite side (O). Using SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) = x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.

6 0
3 years ago
The distance bewteen Harry and Kate is 2500 meters. Kate and Harry start walking toward one another and Kate' dog start running
Furkat [3]
Well, Kate and Harry together are walking 100 meters per minute. Which means it will take them 25 minutes to reach each other (I think). 

If the dog is running 120 meters per minute: 120 x 25 = 3,000.

The dog will run 3,000 meters (if he runs constantly to and from the spot that Kate and and Harry started).

4 0
3 years ago
Terry is skiing down a steep hill. Terry's elevation, E(t), in feet after t seconds is given by E(t)=2600−50t.
lesya692 [45]

Answer:

Part 1) The equation tells us that Terry started at an elevation of 2,600 ft

Part 2) The elevation is decreasing by 50 feet each second

Step-by-step explanation:

we have

E(t)=2,600-50t

where

E(t) is Terry's elevation in feet

t is the time in seconds

Part 1) Find the E intercept of the equation

The E-intercept is the value of E when the value of t is equal to zero

so

For t=0

substitute

E(0)=2,600-50(0)

E(0)=2,600\ ft

therefore

The equation tells us that Terry started at an elevation of 2,600 ft

Part 2) Find the slope of the equation

we have

E(t)=2,600-50t

This is the equation of the line into slope intercept form

The slope m is equal to

m=-50\ ft/sec

The slope is negative, because is decreasing

therefore

The elevation is decreasing by 50 feet each second

6 0
3 years ago
Find the first partial derivatives of the function. (sn = x1 + 2x2 + ... + nxn; i = 1, ..., n. give your answer only in terms of
liq [111]

Answer:

  ∂u/∂xi = i·cos(sn)

Step-by-step explanation:

For u = sin(v), the partial derivative of u with respect to xi is ...

  ∂u/∂xi = cos(v)·∂v/xi

In this case, v=sn, and ∂sn/∂xi = i, so the derivatives of interest are ...

  ∂u/∂xi = i·cos(sn)

6 0
3 years ago
Other questions:
  • Find the average number particles hitting the surface perunit area and per unit time
    5·1 answer
  • Which equation represents this line in point-slope form?
    9·1 answer
  • I need help I have no clue what to do !
    15·1 answer
  • Mixed problem with fractions <br> 1 over 2 minus 1 over 4
    13·1 answer
  • Terry had a rope 4.65 meters long. he cut off 0.2 meters. how long was the piece of rope that was left
    8·1 answer
  • what is the width of a rectangular prism when the surface area is 904 square feet, and it has a height of 10 feet and a length o
    8·1 answer
  • Help I need the answers immediately​
    15·2 answers
  • How to find percentile rank
    10·1 answer
  • 2x^4–5x^3+x^2+3x+2=?<br><br> X=5
    14·1 answer
  • And slope of the linear equation y+8=3(x−5)<br> ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!