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
mrs. warburton weighs her suitcases ready for holiday.It weighs 7.35kg she takes out shoes that weigh 2.6.How heavy is her suitc
kiruha [24]
So all you need to do is 7.35kg takeaway 2.6kg = 4.75kg

Mrs Warburton's bag now weighs 4.75kg
6 0
3 years ago
Read 2 more answers
PLEASE HELP FOR 48 POINTS PLEASE!<br><br><br><br> show/explain your answer and work
pentagon [3]

Answer:

c  This is the direct variation

Step-by-step explanation:

The equation for direct variation is y= kx

Solving this for k

y/x =k

So y/x must be a constant

a.  9/3 =3

2/7 does not =3  so this is not a direct variation


b 1/2 = .5

-3/6 = -.5

This is not the same so this is not a direct variation


c.  27/9 =3

18/6 =3

9/3 =3

This is a direct variation with a constant of 3


d 5/-7 = -5/7

1/-3 = -1/3

This is not the same so this is not a direct variation

4 0
3 years ago
Read 2 more answers
Amy, Doug, and Ginger took a math test. Amy scored 12 points higher than Doug, and Ginger scored twice as many points as Doug. T
lakkis [162]
Amy(A): D + 12
Doug(D):D
Ginger(G):2D
SumOfAll(S)=208 : Total points / sum of all three friends

(D+12)+D+2D=208
D+12+3D=208 - transpose 12 to the right side
4D=208-12 
4D = 196   - divide both sides by 4
D=49
Therefore, Doug scored 49

7 0
3 years ago
Read 2 more answers
What is 100,789,388,369,012 times 479,000,000
8_murik_8 [283]

Answer:

4.8278117e+22

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the volume of the region bounded above by the elliptical paraboloid zequals=9 minus 4 x squared minus 5 y squared9−4x2−5y2
Virty [35]

Answer:

\int\limits^1_0 \int^1_0{z} \, dA

Step-by-step explanation:

\int\limits^1_0\int^1_0 {9-4x^2-5y^2dy} \, dx

\int\limits^1_0 {9y-4x^2y-\frac{5y^3}{3}|_0 ^1 } \, dx

\int\limits^1_0 {22/3 -4x^2} \, dx

You finish the leftover.

7 0
3 years ago
Other questions:
  • 12 × 6 = 72
    8·2 answers
  • What is the correct answer for 5/8+2/5 in fractions and fractions
    5·1 answer
  • A​ city's mean minimum daily temperature in February is 22 degrees Upper F. Suppose the standard deviation of the minimum temper
    6·1 answer
  • mia spent $7.25 at the mall joselyn spent 3times as much rameesha spent $5.00 more than joselyn how much did rameesha spend?
    14·1 answer
  • Express 5601 in scientific notation
    7·1 answer
  • What is 5 times 7 divided by 7
    5·2 answers
  • Determine and state an equation of the line perpendicular to the line 8x + 6y = 15 and passing through the point (3,-4)
    11·1 answer
  • No link need right answer<br><br> 10 points
    11·1 answer
  • Joe saved $8000 in his bank account. His account interest rate is 2.1%. What will his bank account balance be after 6 years?
    11·2 answers
  • I need help with this practice problem It’s from my trig prep guide
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!