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zaharov [31]
2 years ago
13

34. The amount of money in an account with continuously compounded interest is given by the formula 1

Mathematics
1 answer:
kirill115 [55]2 years ago
4 0

Answer:

Step-by-step explanation:

I have no idea what formula that is you're using but the one I teach in both algebra 2 and in precalculus for continuous compounding is

A(t)=Pe^{rt}

where A(t) is the amount after the compounding, P is the initial investment, ee is Euler's number, r is the interest rate in decimal form, and t is the time in years. If our money doubles, we just have to come up with a number which will be P and then double it to get A(t). It doesn't matter what number we pick to double, the answer will come out the same regardless. I started with 2 and then doubled it to 4 and filled in the rest of the info given with time as my unknown:

4=2e^{(.062)(t)}

Begin by dividing both sides by 2 to get

2=e^{.062t}

The only way we can get that t out of its current position is to take the natural log of both sides. Natural logs have a base of e, so

ln_e(e)=1 This is because they are inverses of one another. Taking the natural log of both sides:

ln2=.062t Now divide by .062 to get

t = 11.2 years

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Simplify the imaginary number sqr -75
m_a_m_a [10]

Answer:

5i\sqrt{3}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

and \sqrt{-1} = i

Given

\sqrt{-75}

= \sqrt{25(3)(-1)}

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3 0
3 years ago
Answer to this math problem
Cerrena [4.2K]
Subsitute 1/3 for t

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4 0
2 years ago
Which equation is equivalent to
marshall27 [118]
Answer:

C) 29x=5

reason:

first, distribute the parentheses
this will make your equation 8-20x=6-3+9x
simplify to get 8-20x=3+9x
add 20x to both sides to get 8=3+29x
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3 0
3 years ago
The director of a community recreation center conducted a six-week study to examine the effects of four types of exercise—streng
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Answer: The treatments in the study are strength training, flexibility training, aerobics, and jogging.

Step-by-step explanation:

A correct description of a feature of the study is that the treatments in the study are strength training, flexibility training, aerobics, and jogging.

It should be noted that the study has no replication. Also, the experimental units are the 40 members that participated.

Therefore, the correct option is D.

4 0
2 years ago
6 yd<br> 4 yd<br> 7 yd<br> 4 yd<br> Perimeter:<br> Area:<br> Help me find the area and the permiter
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Step-by-step explanation:

Assuming figure to be trapezoid,

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