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Jobisdone [24]
3 years ago
13

An investment broker puts 1/12 of his paycheck into a retirement account every quarter? How much of his $84,000 salary is put in

to this account each quarter?
Mathematics
1 answer:
Deffense [45]3 years ago
3 0

Answer:

<u>$7000</u> of his salary is put into his account each quarter.

Step-by-step explanation:

Given:

An investment broker puts 1/12 of his paycheck into a retirement account every quarter.

His salary is $84,000.

Now, to find the amount of his salary put into his account each quarter.

So,to get the amount of his salary:

\frac{1}{12}\ of\ \$84,000.

=\frac{1}{12} \times 84000

=\frac{84000}{12}

=\$7000.

Therefore, $7000 of his salary is put into his account each quarter.

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What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125
kykrilka [37]
Since the sequence is geometric, there is some constant r such that the sequence is recursively given by

a_n=ra_{n-1}

By this definition, you can recursively substitute into the right hand side the definition for a_{n-1},a_{n-2},\ldots to find an explicit formula for the nth term.

a_n=ra_{n-1}=r^2a_{n-2}=r^3a_{n-3}=\cdots=r^{n-1}a_1=-625r^{n-1}

You know the second term, which means you can find r:

a_2=-625r^{2-1}\implies125=-625r\implies r=-\dfrac15

So, the 7th term of the sequence is

a_7=-625\left(-\dfrac15\right)^{7-1}=-\dfrac1{25}
8 0
3 years ago
The FDA recommends that women who are pregnant avoid eating more than three 6.00 oz servings of bluefish per month because of th
kirza4 [7]

Answer:

5,562 x 10^{-6}

Step-by-step explanation:

  • Firts, we need to find the maximum recommended amount of bluefish per month. Since the FDA recommends <em>3 servings of 6.00 oz each</em>, the maximum amount would be:

the maximum amount of bluefish per month = 3 * 6.00 oz = 18.00 oz

  • Since bluefish contains <em>0.309 ppm of mercury per 1x10^{6} oz of fis</em>h, then:

0.309 oz mercury --------> 1x10^{6} oz of fish

How many  (y)      --------> 18.00 oz of fish

y = \frac{18.00 oz of fish * 0.309 oz of mercury}{1 x 10^{6} oz of fish }  = 0.000005562 = 5.562 x 10^{-6} oz mercury

5 0
4 years ago
Use the graph of f below. Assume the entire function is graphed below.
nasty-shy [4]

Answer: A

Step-by-step explanation:

So we really just want to find when y=-3.

We can see this is at x=5, meaning our answer is A.

4 0
2 years ago
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