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
kirill [66]
2 years ago
15

(04.05 MC)

Mathematics
1 answer:
Inessa05 [86]2 years ago
6 0

Answer:

A) increasing by 9% each year

B) Account B

Step-by-step explanation:

f(x)=1264(1.09)^x

<u>Part A</u>

The amount of money in account A is increasing by 9% each year.

General form of an exponential function:  f(x)=ab^x

a is the initial value, b is the growth factor and x is time.

  • If b < 1 then the function is decreasing
  • If b > 1 then the function is increasing

As b = 1.09 > 1 then the function is increasing

b is the decimal form of percentage change.

Therefore, for b > 1, percentage increase = b - 1

for b < 1, percentage decrease = 1 - b

So as b = 1.09 > 1, percentage increase = 1.09 - 1 = 0.09 = 9%

<u>Part B</u>

From inspection, the amount in account B is increasing exponentially.

Therefore, we can use y=ab^x

To determine the growth factor b, divide one value of g(r) by its previous value:

\implies b=\dfrac{1512.50}{1375}=\dfrac{11}{10}=1.1

\implies g(r)=a(1.1)^r

To determine a, input a pair of values (r, g(r)) into the equation and solve:

\implies 1375=a(1.1)^1

\implies a=\dfrac{1375}{1.1}=1250

Therefore, the equation for account B:  g(r)=1250(1.1)^r

Comparing the growth factor b of both equations, account B recorded a greater percentage change in amount of money over the previous year since 1.1 > 1.09

You might be interested in
John runs to the market and comes back in 15 minutes. His speed on the way to the market is 5m/s and his speed on the way back i
katen-ka-za [31]

Answer:

The distance to the market is 2000 m

Step-by-step explanation:

∵ John runs to the market and comes back in 15 minutes

→ Change the min. to the sec. because the unit of his speed is m/s

∵ 1 minute = 60 seconds

∴ 15 minutes = 15 × 60 = 900 seconds

→ Assume that t1 is his time to the market and t2 is his time from

  the market

∵  t1 + t2 = 15 minutes

∴ t1 + t2 = 900 ⇒ (1)

→ Assume that the distance to the market is d

∵ His speed on the way to the market is 5m/s

∵ Time = Distance ÷ Speed

∴ t1 = d ÷ 5 ⇒ (1 ÷ 5 = 0.2)

∴ t1 = 0.2d ⇒ (2)

∵ His speed on the way back is 4m/s

∴ t2 = d ÷ 4 ⇒ (1 ÷ 4 = 0.25)

∴ t2 = 0.25d ⇒ (3)

→ Substitute (2) and (3) in (1)

∵ 0.2d + 0.25d = 900

∴ 0.45d = 900

→ Divide both sides by 0.45

∴ d = 2000 m

∴ The distance to the market = 2000 m

8 0
3 years ago
If 2y = 6 - 3x, find y when x = 0
MakcuM [25]

Answer:

2y= 6-3x when x=0

2y= 6-3(0)

2y= 6-0

2y= 6

y= 6/2

y= 3

#i'm indonesian

#hope it helps.

8 0
3 years ago
Read 2 more answers
4(4b-8)-3/8<br> Please help i have no idea what to do
Ksivusya [100]

Answer:

4(4b - 8) -  \frac{3}{8}  \\ 16b - 32 -  \frac{3}{4}  \\ \frac{64b - 128 - 3}{8}  \\  \frac{64b - 131}{8}

hope this will help you

7 0
2 years ago
Solve the math problem <br><br><br> No spamming
valkas [14]

Answer:

1. slope for pq is 150 / 3 but simplified is 50/1

2. 200

3. 4

Step-by-step explanation:

8 0
2 years ago
Please help me It’ll help a lot
Digiron [165]

Answer:

heyy

the answers "20"

Step-by-step explanation:

Okay using the x that we have we find 40 and plug that into the graph and we have 20 :p

7 0
2 years ago
Other questions:
  • Someeeeeoneeee savvveeeee meee
    15·1 answer
  • Which is the best series on netflix ?
    7·2 answers
  • Finding the missing angles 35° and 145°
    8·2 answers
  • Trying to at least find the point slope form of a line
    9·1 answer
  • An airplane is at a location 800 miles west of city X. Another airplane is at a distance of 1,200 miles in a direction S 30° W f
    6·1 answer
  • Arnaud randomly selected 30% of French International Studies students and asked them if they know how to speak French. Of the st
    6·1 answer
  • What is the difference between standard deviation and standard error
    10·2 answers
  • Solve k <br><br> 12/7=k/8 k=
    6·2 answers
  • A boat's crew rowed 15 kilometers downstream, with the current, in 1 hours. The return trip upstream, against the current, cover
    8·1 answer
  • Which number line represents the solution set for the inequality <br> 3(8-4x) &lt; 6(x-5) ?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!