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3 years ago

Determine the models that could represent a compound interest account that is growing exponentially.

Mathematics

1 answer:

horrorfan [7]3 years ago

8 0

Answer:A(t)= 2,675(1.003)12t

A(t)=4170(1.04)t

A(t)=5750(1.0024)2t

Step-by-step explanation:Exponential growth is also called growth percentage.

It is calculated using 100% of the original amount plus the growth rate . Example if the amount grows by 5% yearly.5%=0.05

It is written thus(1+0.005)=1.05.

It is usually written in decimal.

The formular for compound interest that is growing exponentially is written as

A=P (1 + i)^N

Looking at the 5 A(t) equations,only 3 of it are growing exponentially.

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If a ants can dig b tunnels in c hours, how many tunnels can b ants dig in a hours?

Lilit [14]

9514 1404 393

Answer:

b²/c tunnels

Step-by-step explanation:

The number of tunnels per ant-hour is ...

b/(ac)

Multiplying that by the new number of ant-hours, we have ...

(b/(ac))(ab) = b²/c . . . . tunnels

7 0

3 years ago

A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o

Ronch [10]

Answer:

$2.002 \leq \sigma^2 \leq 11.365$

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

$s^2$ represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=9-1=8$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

$\chi^2_{\alpha/2}=15.507$

$\chi^2_{1- \alpha/2}=2.732$

And replacing into the formula for the interval we got:

$\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}$

$2.002 \leq \sigma^2 \leq 11.365$

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3 years ago

What factor or factors may reduce risk? (5 points)

Amiraneli [1.4K]

I know it is futures ivestments

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2 years ago

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vitfil [10]

Answer:

I'm pretty sure figure A is the only one correct and also figure D

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3 years ago

Raquel and Van live in two different cities. As part of a project, they each record the lowest prices for a gallon of gas at gas

Sphinxa [80]

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3 years ago

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