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Eva8 [605]
3 years ago
13

Each year a certain amount of money is deposited in an account which pays an annual interest rate of so that at the end of each

year the balance in the account is multiplied by a growth factor of x = 1 + r. $300 is deposited at the start of the first year, an additional $500 is deposited at the start of the next year, and $400 at the start of the following year.
A) Write an expression for the value of the account at the end of three years in terms of the growth factor .

B) What is the amount (to the nearest cent) in the account at the end of three years if the interest rate is 2%?
Mathematics
1 answer:
fgiga [73]3 years ago
6 0

Answer: 5%

Step-by-step explanation:

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A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximat
Andreas93 [3]

Answer:

FV(p)= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of insects (PV)= 1,500

Increase rate= 3 weekly

<u>First, we need to calculate the daily growth rate:</u>

Daily rate (g)= [3^(1/7)] - 1

Daily rate (g)= 0.16993

<u>Now, by using the following formula, we can determine the population p in any given day t:</u>

FV(p)= PV*(1 + g)^t

<u>For, example after 7 days:</u>

FV(p)= 1,500*(1.16993^7)

FV(p)= 4,500

<u>For example, after 10 days:</u>

FV(p)= 1,500*(1.16993^10)

FV(p)= 7,206

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3 years ago
CAN SOMEONE PLZ HELP ME WITH THIS 1 QUESTION!?!
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3 years ago
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Write each absolute value in a box to show the order from least to greatest.
Genrish500 [490]

Answer:

From least to greatest: -12 -8 -2 5 11

Step-by-step explanation:

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3 years ago
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There are 30 bicycles and 10 cars parked in the parking lot. Each bicycle had two wheels and each car had four wheels. How many
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3 years ago
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A lawn-mowing company is trying to grow its business. It had 30 clients when they started its business and wants to increase by
pickupchik [31]

Answer:

So, f(x) = 6 x + 30; 0 ≤ y ≤ 4

Step-by-step explanation:

Given: A lawn-mowing company had 30 clients when they started its business and wants to increase by 6 new clients each week.

To find: arithmetic sequence to write a function to represent the real-world situation and the range of the function for the first four weeks of data.

Solution:

A sequence is a list of numbers in a specific order following some pattern.

A sequence is said to be arithmetic if difference between the terms is same.

For the first week, number of clients = 30

For the second week, number of clients = 30 + 6(1)

For the third week, number of clients = 30 + 6(2)

For the third week, number of clients = 30 + 6(3)

For the fourth week, number of clients = 30 + 6(4)

So, f(x) = 6 x + 30; 0 ≤ y ≤ 4

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3 years ago
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