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lara [203]
1 year ago
8

Albert deposits $2785 in an account that earns 3.9% interest compounded monthly. this function models the amount in the account

after t years.
a = 2785 (1 + )"
true
o false
Mathematics
1 answer:
Step2247 [10]1 year ago
5 0

The amount for the given data is found as,\rm a = 2825(1+\frac{3.9}{12} )^{12t}.The given expression is true.

<h3>What is the amount?</h3>

The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.

The given data in the problem is;

P is the annual payment=2827

r is the rate of interest = 3.9%

n is the time period=12

The formula for the amount is found as;

\rm a = p(1+\frac{r}{n} )^{nt}

Substitute the given value;

\rm a = 2825(1+\frac{3.9}{12} )^{12t}

Hence the given expression is true.

To learn more about the amount, refer to the link: brainly.com/question/12184047.

#SPJ1

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<h2>The crime gets cleaned up at 2:00 PM</h2>

Step-by-step explanation:

Let the work be w.

Batman can clean up all of the crime in Gotham City in 8 hours working alone.

\texttt{Rate of batman,}r_b=\frac{W}{8}

Robin can do the same job alone in 12 hours.

\texttt{Rate of Robin,}r_r=\frac{W}{12}

Robin starts work at 8:00 AM and Batman Joins at 10:00 AM.

Let the time of completion of work after Batman's joining be t.

We have time of working of Robin = t + 10:00 -8:00 = t + 2

So

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After 4 hours of 10:00 Am work gets completed.

Time = 10:00 AM +  4 hours =  2:00 PM

The crime gets cleaned up at 2:00 PM

4 0
3 years ago
Solve the following :<br><img src="https://tex.z-dn.net/?f=2x%20%3D%2096%20-%2036" id="TexFormula1" title="2x = 96 - 36" alt="2x
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ANSWER:
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2 years ago
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2 times the sum of a number and 4 is no more than three times the sum of a number and 7 decreased by 4
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An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the
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Let p be the population proportion of trees are infested by a bark beetle.

As per given: p= 12%= 0.12

Sample size : n= 1000

Number of trees affected in sample = 1000

Sample proportion of trees are infested by a bark beetle. = \hat{p}=\dfrac{127}{1000}=0.127

Now, the z-test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

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Hence, the value of the z-test statistic = 0.6812 .

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