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GuDViN [60]
3 years ago
12

In how many ways can you arrange six trophies on a shelf?

Mathematics
1 answer:
melisa1 [442]3 years ago
7 0

Answer:

720 ways

Step-by-step explanation:

Assuming order doesn't matter, there are 6!=6*5*4*3*2*1=720 ways to arrange six trophies on a shelf.

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Suppose you buy a CD for $1000 that earns 2.5% APR and is compounded
labwork [276]

The early withdrawal fee on this account is $6.25

Step-by-step explanation:

Suppose you buy a CD for $1000

  • It earns 2.5% APR and is compounded  quarterly
  • The CD matures in 5 years
  • Assume that if funds are withdrawn  before the CD matures, the early withdrawal fee is 3 months' interest

We need to find the early withdrawal fee on this account

∵ The annual interest is 2.5%

- Change it to decimal

∵ 2.5% = 2.5 ÷ 100 = 0.025

∴ The annual interest rate is 0.025

∵ The interest is compounded quarterly

∴ The interest rate per quarter = 0.025 ÷ 4 = 0.00625

∵ The early withdrawal fee is 3 months' interest

∵ You buy the CD for $1000

∵ A quarter year = 3 months

∴ The early withdrawal fee = 1000 × 0.00625 = $6.25

The early withdrawal fee on this account is $6.25

Learn more:

You can learn more about the interest in brainly.com/question/11149751

#LearnwithBrainly

7 0
3 years ago
The number of E.coli bacteria cells in a pond of stagnant water can be represented by the function below, where A represents the
liq [111]

Answer:

  • <u>Option B. 59%</u>

Explanation:

The function that represents the number of E.coli bacteria cells per 100 mL of water as the time t years elapses is:

  • A(t)=136(1.123)^{4t}

The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function:

  • rate=(1.123)^{4t}=(1.123)^4=1.590

Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.

8 0
4 years ago
2. A bank representative studies compound interest, so she can better serve
Kaylis [27]

Answer:

Step-by-step explanation:

Given that a  bank representative studies compound interest, so she can better serve  customers. She analyzes what happens when $2,000 earns interest several  different ways at a rate of 2% for 3 years.

a) the interest if it is computed using simple interest. 12.00

=\frac{2000(3)(12)}{100} \\=720 dollars

b) the interest if it is compounded annually.

=2000(1.12)^3-2000\\= 809.86 dollars

c) the interest if it is compounded semiannually

=2000(1.06)^6 -2000\\= 837.04

d) the interest if it is compounded quarterly.

=2000(1.03)^12 -2000\\= 851.52

e) the interest if it is compounded monthly.

=2000(1.01)^24 -2000\\= 861.54

4 0
3 years ago
Apply the distributive property to factor out the greatest common factor of all three terms. 14x + 21y + 7z =
iren [92.7K]
I think 7 would be the greatest common factor as they all have different variables. By factoring out 7 you should end up with, 2x+3y+z=

8 0
3 years ago
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Suppose the commute times for employees of a large company follow a
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The best answer for this question is B
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3 years ago
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