answer.
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
6

Jack invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of his in

vestment after x years:
f(x) = 300(1.02)x

What was the average rate of change of the value of Jack's investment from the third year to the fifth year?
Mathematics
2 answers:
postnew [5]2 years ago
5 0
Jack's investment on the third year
f(3) = 300(1.02)³ = 318.36 (rounded to 2 decimal place)

Jack's investment on the fifth year
f(5) = 300(1.02)⁵ = 331.22 (rounded to 2 decimal place)

The average rate of change from year 3 to year 5  = (331.22 - 318.36) ÷ (5 - 3)
The average rate of change = 12.86 ÷ 2 = 6.43
masya89 [10]2 years ago
5 0
The equation is f(x) = 300 * (1.02)^x

1) Evaluate the equation for x = 3 years and x = 5 years

x = 3 => f(3) = 300 * (1.02)^3 = $318.3624

x= 5 => f(5) = 300 * (1.02)^5 = $331.2242

2) The average rate of change is [change in f(x) ] / [change in x]

change in f(x) = f(5) - f(3) = $12.8678

change in x = 5year - 3 year = 2 year

Average rate of change = $12.8678 / 2 year = $6.43 / year   <---- answer

You might be interested in
kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of
VARVARA [1.3K]

Answer:

Kadeem takes 10 minutes longer  to drive 25 miles.

Step-by-step explanation:

50m/hr = 25m/ half an hour

75m/hr = 25m/20 minutes

3 0
2 years ago
joanne cannot decide which of two washing machines to buy. The selling price of each is ​$660. The first is marked down by ​40%.
Alexxx [7]

Answer: The first machine would cost $420

and the second machine would cost $432

you should buy the first machine

Step-by-step explanation:If you get a 30% discount, then you are paying 70% of the selling price.

Machine 1:  600(.70) = 420

Machine 2:  A 10% discount means you pay 90%

600(.90) = 540   But now you get a 20% discount on that amount, which means you would pay 80%

So, 540(.80) = 432

6 0
2 years ago
A 60-year old customer has a 401(k) account with your firm that has $280,000, mainly invested in growth mutual funds. The custom
KiRa [710]

Answer:

Money Market Instruments

Step-by-step explanation:

Money market instruments can be defined as a form of securities that help to provide businesses, banks as well as the government with large sum of amounts of low-cost capital for a short period of time because the financial markets tend to meet longer-term cash needs while Businesses tend to need short-term cash due to the fact that payments for goods and services sold might take months which is ‘Money Market’ are often been used to help to define a market where short-term financial assets are traded because they aim to increase the financial liquidity of a businesses company's or organization's.

The best recommendation to the customer is to invest the $100,000 in: MONEY MARKET INSTRUMENTS

6 0
2 years ago
A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of
KiRa [710]

To calculate the z-statistic, we must first calculate the standard error.

Standard error is standard deviation divided by the square root of the population. In this case, it is equal to 2.68.

The z-score is defined the distance from the sample to the population mean in units of standard error.

z = (195 – 208)/2.68 = -4.86

5 0
2 years ago
Susie has 20 pieces of candy in a bag: 6 mint sticks, 5 jelly treats, and 9 fruit tart chews. If she eats one piece every 9 minu
motikmotik

Answer:

Step-by-step explanation:

7 fruit tart chews. If he eats one piece every 10 minutes, what is the probability his first two pieces will be a jelly treat and a mint stick? ... First you add all the candies together to get 20 in the bag 2+11+7=20 jelly treat: ... Paul has a bag with 6 mint sticks, 9 jelly treats, and 5 fruit tart chews. If he eats one ...

4 0
2 years ago
Other questions:
  • Given the equation, y=3x – 7 what is the slope of the line?
    13·2 answers
  • Choose as many answers as apply. Which of the following are metric measurements? gallon liter meter pint quart kilogram kilowatt
    14·2 answers
  • The following graph models bristols heart rate, in beats per minute(bpm), over time, in minutes during the last 10 minutes of yo
    8·2 answers
  • Jess will plant up to 27 acres on her farm with wheat and corn. More than 5 acres will be planted with wheat. Let w represent th
    11·1 answer
  • The probability of selecting a particular color almond m&amp;m (according to the website) from a bag of m&amp;ms is listed below
    8·2 answers
  • A student wants to know how far above the ground the top of a leaning flagpole is. At high noon, when the sun is almost directly
    11·1 answer
  • 10. A school is trying to schedule periods of Chemistry and Algebra II.
    13·1 answer
  • In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1,014 adults aged 18 and
    9·1 answer
  • Eli caught three fish. The weights of the fish were 2lb4oz, 1lb11oz, and 4lb14oz,. What was the total weight of the three fish?
    8·1 answer
  • The classroom has 12 9/10 meters of tape in one area of the building, and 8 3/5 meters of tape in another part. How much tape do
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!