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Naya [18.7K]
3 years ago
8

1 - 500 principal earning 4% compounded quarterly, after 6 year.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0
You'll have <span>$634.87 after 6 years at 4% compounded quarterly, thus B:
You'll have </span><span>$3,619.80 after 6 months at 6.75% compounded monthly, thus A:

</span>Formulas where n = 1 (compounded once per period or unit t)
1.  Calculate Accrued Amount (Principal + Interest) A = P(1 + r)^t
2. Calculate Principal Amount, solve for P.  P = A / (1 + r)^t
4. Calculate the rate of interest in decimal, solve for r. r = (A/P)1/(^t - 1)
5. Calculate rate of interest in percent. ...Calculate time, solve for t.
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A set has 62 proper subsets how many elements has it for?<br>​
MrRissso [65]

Answer:

6

Step-by-step explanation:

Total number of subsets is given as

{2}^{n}

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

{2}^{n}  = 64

{2}^{n}  =  {2}^{6}

Comparing both sides

n = 6

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3 years ago
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A town has a population of 50,000. it’s rate increase is 8% every 6 months. find the population after 4 years
Ainat [17]
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6 0
2 years ago
Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Rufina [12.5K]

Answer:

B

Step-by-step explanation:

We are given that <em>x</em> and <em>y</em> are functions of time <em>t</em> such that <em>x</em> and <em>y</em> is a constant. So, we can write the following equation:

x(t)+y(t)=k,\text{ where $k$ is some constant}

The rate of change of <em>x</em> and the rate of change of <em>y</em> with respect to time <em>t</em> is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to <em>t: </em>

<em />\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k]<em />

Remember that the derivative of a constant is always 0. Therefore:

\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0

And by subtracting dy/dt from both sides, we acquire:

\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}

Hence, our answer is B.

3 0
3 years ago
Read 2 more answers
Which equation is part of solving the system by substitution?
gayaneshka [121]

Answer:

4(11-y)²-3y²=8

Step-by-step explanation:

x+y=11

x=11-y

5 0
3 years ago
Read 2 more answers
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