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3 years ago

Approximately how long will it take for $700 to double if it is invested at 4% annual

Mathematics

1 answer:

charle [14.2K]3 years ago

4 0

Answer: 17 years

Step-by-step explanation:

Exponential equation for compund amount( compunded continuously):

$A=Pe^{rt}$ , where P= Principal value , r= rate of interest , t= time.

Given: A= 2P

r =4%= 0.04

To find : t

Substitute all values in the formula , we get

$2P=Pe^{0.04t}\\\\\Rightarrow\ 2=e^{0.04t}$

Taking natural log on both sides

$\ln2=\ln e^{0.04t }\\\\\Rightarrow\ 0.693147=0.04t\\\\\Rightarrow\ t=\dfrac{ 0.693147}{0.04}\\\\\Rightarrow\ t=17.3286\approx17$

hence, it will take 17 years (approx).

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Identify the maximum value of the function y = −4x2 − 24x + −36.

kenny6666 [7]

$y = -4x^2 - 24x + -36$

$y = -4(x^2 + 6x) -36$

$y = -4(x^2 + 6x + (6/2)^2) + 4(3)^2 -36$

$y = -4(x + 3)^2$

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Answer: 0, last choice

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3 years ago

The salary scale for a senior officer starts at N57000

katrin [286]

Answer:

N1,052,800.

Step-by-step explanation:

The starting salary of the officer = N57,000

Increase per annum =N2,800

The given pattern forms an arithmetic sequence since the annual salary increases by a fixed amount.

We are to determine the total amount of money that the officer will earn in 14 years.

Sum of an arithmetic sequence, $S_n=\frac{n}{2}[2a+(n-1)d]$ ,where: \left\{\begin{array}{lll}$First term, a=57,000\\$Common difference, d=2,800\\$Number of terms, n=14\end{array}\right$

$S_{14}=\frac{14}{2}[2(57,000)+(14-1)(2,800)]\\=7[114,000+13*2800]\\=7[150,400]\\=1,052,800$

At the end of 14 years, the total amount earned by the officer will be N1,052,800.

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3 years ago

Does experimental probability always give the same results? Explain your answer.

Vanyuwa [196]

Answer:

Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out. The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes.

Step-by-step explanation:

The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes. As more trials are conducted, the experimental probability generally gets closer to the theoretical probability

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3 years ago

Solve for x<br> (x+54)<br> 5x

valina [46]

X=9

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3 years ago

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What is 85×3×4÷1+45-3×4=

borishaifa [10]

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4 years ago