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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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I need help. Please show work
telo118 [61]
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Hey !!

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7 0
2 years ago
Callie is starting a fruit basket business the largest basket has 30 pieces of fruit but the others have 12 pieces of fruit in e
Elis [28]

Answer:

In the first basket, Callie can make 15 apples, 10 oranges and 5 bananas.


In the second basket, she can make 12 apples, 8 oranges and 4 bananas and


in the third basket, she can make 9 apples, 6 oranges and 3 bananas.

Step-by-step explanation:

The largest basket contains 30 pieces of fruit. So, it contains


1/2 of 30 = 15 apples


1/3 of 30 = 10 oranges and


1/6 of 30 = 5 bananas.


The second and third baskets should contain at least 12 pieces and at most 30 pieces (since the largest basket contains 30 pieces). Also, the number should be divided by 2, 3 and 6. So, it must be a multiple of 6.


Clearly, the number of multiples of 6 between 12 and 30 are 18 and 24.


Hence, the second basket contains 24 pieces of fruits and it contains


1/2 of 24 = 12 apples


1/3 of 24 = 8 oranges and


1/6 of 24 = 4 bananas


The third basket contains 18 pieces of fruits and it contains


1/2 of 18 = 9 apples


1/3 of 18 = 6 oranges and


1/6 of 18 = 3 bananas.


5 0
2 years ago
A teacher printed 720 copies. How long did it take to print?
erastova [34]

Answer: instant

Step-by-step explanation:

yeah

4 0
3 years ago
Mrs.Banks has 1/5 of a pot of coffe left. She wants to share the coffe equally among 5 people.What fraction of a pot of coffe wi
Shtirlitz [24]

Each person will receive 1/25 of a pot of coffee.

To find this you divide the fraction 1/5 by 5. When dividing a fraction by a whole number, you put the whole number over 1, flip the numerator and denominator (making it the inverse), then multiply the 2 fractions. So, instead of 1/5 divided by 5, you now have 1/5 times 1/5. Multiply straight across, 1 times 1 is one, and 5 times 5 is 25. Thus making the fraction 1/25.

I hope this helps!

3 0
3 years ago
Read 2 more answers
Lim x approaches 0 (1+2x)3/sinx
jok3333 [9.3K]

Interpreting your expression as

\dfrac{3(1+2x)}{\sin(x)}

when x approaches zero, the numerator approaches 3:

3(1+2x) \to 3(1+2\cdot 0) = 3(1+0) = 3\cdot 1 = 3

The denominator approaches 0, because \sin(0)=0

Moreover, we have

\displaystyle \lim_{x\to 0^-} \sin(x) = 0^-,\quad \displaystyle \lim_{x\to 0^+} \sin(x) = 0^+

So, the limit does not exist, because left and right limits are different:

\displaystyle \lim_{x\to 0^-} \dfrac{3(1+2x)}{\sin(x)}= \dfrac{3}{0^-} = -\infty,\quad \displaystyle \lim_{x\to 0^+}\dfrac{3(1+2x)}{\sin(x)}= \dfrac{3}{0^+} = +\infty

8 0
3 years ago
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