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igor_vitrenko [27]
3 years ago
14

A teachers age is 6 years greater than 2 times a students age. A principals age is 10 years greater than 3 times the students ag

e. If x represents the students age in years, wich expression represents how many years older the principal is than the teacher ?
Mathematics
1 answer:
ruslelena [56]3 years ago
6 0

Answer:

6+2x < 10+3x

Step-by-step explanation:

The expression for the teacher is 6+2x

The expression for the principal is 10+3x

To solve put them as 6+2x < 10+3x

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Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val
Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

A(t) = Pe^{rt}

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that P = 330

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

A(t) = Pe^{rt}

590 = 330e^{8r}

e^{8r} = \frac{590}{330}

e^{8r} = 1.79

Applying ln to both sides:

\ln{e^{8r}} = \ln{1.79}

8r = \ln{1.79}

r = \frac{\ln{1.79}}{8}

r = 0.0726

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

A(t) = 330e^{0.0726t}

A(10) = 330e^{0.0726*10} = 682

The value of the account in the year 2009 will be $682.

4 0
4 years ago
Convert 28/50to a percent
velikii [3]
The answer is 56%
You first divide 28 by 50=.56, then since it's a decimal, you move the decimal twice to the right to make a percentage=56%
3 0
4 years ago
a drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum
laiz [17]

Answer:

I believe the answer would be 186

Step-by-step explanation:

241-55=186

5 0
3 years ago
Which equation best represents the relationship between x and y.
Assoli18 [71]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
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<span>Not all functions will have intercepts</span>
5 0
4 years ago
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