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
sweet-ann [11.9K]
2 years ago
15

Exponential growth/decay problem 1

Mathematics
1 answer:
RUDIKE [14]2 years ago
5 0

Answer:

a) growth

b) $500

c) 6% = 0.06

d) f(x)=500(1.06)^x

e) $595.51

Step-by-step explanation:

<u />

<u>Part (a)</u>

Exponential GROWTH, since interest is applied to the account each year.

<u>Part (b)</u>

Initial amount = $500

<u>Part (c)</u>

Growth factor = 6% = 0.06 (in decimal form)

<u>Part (d)</u>

General form of exponential growth function:

f(x)=a(1+r)^x

where:

  • a = initial amount
  • r = rate of growth (in decimal form)
  • x = time (in years)

Given:

  • a = 500
  • r = 0.06

\implies f(x)=500(1+0.06)^x

\implies f(x)=500(1.06)^x

<u>Part (e)</u>

when x = 3

\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}

You might be interested in
What is the slope of the line for (9,6) &amp; (-2,17)
denis-greek [22]
The slope is negative one
7 0
2 years ago
Read 2 more answers
The value of B is not similar to the value of C.
levacccp [35]
What type of question is this
6 0
3 years ago
 1. Find the VALUE of 7x + 3y, when x = 12 and y = -6.
denis23 [38]

Answer:

1.7(12) + 3(-6) = 84 - 18 = 66

8 0
3 years ago
Read 2 more answers
Which unit represents speed?<br><br> joules<br> newtons<br> miles per hour<br> kilometers per second
Usimov [2.4K]

Answer:

Miles per hour  and

Kilometres per second.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can anyone help me with number 10??
Galina-37 [17]

Answer:

y=−4/3x+10

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the slope-intercept form  y=mx+b to find the line perpendicular to  3x−4y=−2.

4 0
3 years ago
Other questions:
  • What is the initial fee and cost per hour to hold a banquet at the Tea Room?
    11·2 answers
  • Alexis bought x boxes of cereal for $3 each, including tax, and paid with a $20 bill. Which expression represents the total amou
    8·2 answers
  • !!!!!!!!!!!!!!!!!!!!!!!!!!! NEED HELP ASAP PLEASE !!!!!!!!!!!!!!!!!!
    6·1 answer
  • 2.5 ( 6 x - 4 ) = 10 + 4 ( 1.5 + 0.5 x )
    8·1 answer
  • What is the recursive formula when given the explicit formula for the following geometric sequence?
    11·1 answer
  • What is 5K +(-2k)-(-1)
    14·1 answer
  • Solve for each variable X and Y.
    5·1 answer
  • Can someone do the math for me (im too lazy). SO I took a test and got a 57 and my grade in that class is a 87.20. How bad is my
    8·1 answer
  • Farid performed a chemistry experiment in which he divided 2/3 of a box of baking soda evenly among 4 bottles. He then added vin
    5·1 answer
  • Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!