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
Andrew [12]
3 years ago
10

Suppose the function f has an initial value of 1,000 and a decay rate of 5%. Let the function g have an initial value of 400 and

increase at a growth rate of 17%. Estimate a value of x, to the nearest tenth, for which f(x) = g(x).

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer:

4.4 years

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

y=a(1-r)^x

where

a is the initial value

r is the rate of change

The equation of a exponential growth function is given by

y=a(1+r)^x

where

a is the initial value

r is the rate of change

step 1

Find f(x)

in this problem we have

f(x)=1,000(1-0.05)^x

f(x)=1,000(0.95)^x

step 2

Find g(x)

in this problem we have

g(x)=400(1+0.17)^x

g(x)=400(1.17)^x

step 3

we have

f(x)=1,000(0.95)^x

g(x)=400(1.17)^x

f(x)=g(x)

solve the system by graphing

The solution is the x-coordinate of intersection point

using a graphing tool

The solution is x=4.4 years

see the attached figure

You might be interested in
If anyone knows how to do science ​
Luda [366]

Answer:

im using my own knowledge hopefully this is helpful

Orion

milky way

life

earth

years

G2V (I'm not sure with this one)

earths

Step-by-step explanation:

5 0
3 years ago
What is y its so easy
Tpy6a [65]

Answer:

y = 9

Step-by-step explanation:

the two sides are balancing so that means one 'x' and three 'y' equals four 'x' plus one 'y'

x + 3y = 4x + y

subtract 'x' from each side to get:

3y = 3x + y

subtract 'y' from each side to get:

2y = 3x

if 'x' = 6 then:

2y = 3(6)

2y = 18

y = 9

8 0
2 years ago
Read 2 more answers
What are the possible values of the missing term in the geometric sequence?<br> 4, _, 9, ...
pashok25 [27]
<h3>Two possible answers: 6 or -6</h3>

==========================================================

Explanation:

r = common ratio

To get any term in a geometric sequence, we multiply the previous term by r.

So that means 4r is the second term, since 4 is the first term.

The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.

4r^2 = 9

4r^2 - 9 = 0

(2r)^2 - (3)^2 = 0

(2r - 3)(2r + 3) = 0  ... difference of squares rule

2r-3 = 0 or 2r+3 = 0

2r = 3 or 2r = -3

r = 3/2 or r = -3/2

r = 1.5 or r = -1.5

We can use each r value to find the possible second term

S = 4r = 4*(1.5) = 6

S = 4r = 4*(-1.5) = -6

The second term is either 6 or -6.

We could have this sequence: 4, 6, 9, ...

Or we could have this sequence: 4, -6, 9, ...

4 0
3 years ago
In the diagram below at right, which ratio is equal to tan M
saveliy_v [14]
Ratio= 20/21 as you can see calculate from diagram hope it helps
8 0
3 years ago
Evaluate 2 to the -5 power
IRINA_888 [86]
1/32 its pretty simple come on man
8 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate. 53−(648)+102 Enter your answer in the box.
    7·2 answers
  • The annual interest rate of Codie's savings account is 4.8%and simple interest is calculated quarterly. What is periodic interes
    13·2 answers
  • Andrew owns Hockey Plus, whose value is $150,000 today assuming normal growth. However, Andrew believes the value will grow at 1
    7·1 answer
  • What’s the v? <br> Im stuck on this
    7·1 answer
  • What is x?: -8.75x + 14 = -5.25x - 3.5
    10·2 answers
  • considering the line negative x -6 y equals -6 what is the line perpendicular with a slope of a line perpendicular to this line
    15·1 answer
  • Eva is showing her work in simplifying (7.3 − 7.2) − 3.8 + 3.7. In which step did Eva make an error?
    11·1 answer
  • 26.
    7·1 answer
  • One of your company's salesmen estimates he will drive 20,000 miles this year and each of the next two years. As the service man
    10·1 answer
  • out of 150 coins, 90 are quarters. of the remaining coins, 40% are nickels and the rest are dimes and pennies. there are 5 dimes
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!