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3 years ago

Fedor invests $3300 in an account earning 2% interest, compounded

Mathematics

1 answer:

katen-ka-za [31]3 years ago

7 0

Answer:

c. $3866

Step-by-step explanation:

Put 8 where n is and do the arithmetic.

A(8) = $3300(1.02^8) = $3386

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Sophie Ruth is eating a 50-gram chocolate bar that contains 30%, cocoa. How many grams of cocoa is in the chocolate bar?

Salsk061 [2.6K]

Answer:

We need to multiply the percentage as a decimal (0.30) with the amount of chocolate (50 g):

0.30*50 = 15 g

There are 15 grams of cocoa in the chocolate bar.

Step-by-step explanation:

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2 years ago

I need help! can anybody help?

Alexandra [31]

Answer:

i, m, and then k (use my method to do the other one)

Step-by-step explanation:

The longer than angle the longer the side tht is opposite to it... so for example, each angle and its opposite correspond to each other.. so K it is side K and so on...

first u should find the missing angles, for A, we know the angles 118 and 28 and a triangle is a total of 180 degrees, so add 118 and 28, which will give u 146, now subtract tht from 180 and u get 34, so the missing angle M is 34, now we can see which angles correspond to which side:

K = k

M = m

L = l

so the shortest will be l, then it will be m, and then it will be k

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3 years ago

What is the equation if – 4y = 8x + 16 is solved for y help assignment is due in 20 min

Marysya12 [62]

Answer:

Slope=4.000/2.000=2.000

Step-by-step explanation:

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2 years ago

Read 2 more answers

In a random sample of 25 people, the mean commute time to work was 33.9 minutes and the standard deviation was 7.2 minutes. Ass

Phoenix [80]

Answer:

$33.9-1.32\frac{7.2}{\sqrt{25}}=31.999$

$33.9+1.32\frac{7.2}{\sqrt{25}}=35.801$

So on this case the 80% confidence interval would be given by (31.999;35.801)

And the margin of error is given by:

$ME = t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we got:

$ME = 1.32\frac{7.2}{\sqrt{25}} =1.9008$

Step-by-step explanation:

Previous concepts

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 means 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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=33.9$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=7.2 represent the sample standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.80 or 80%, the value of $\alpha=0.2$ and $\alpha/2 =0.1$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,24)".And we see that $t_{\alpha/2}=1.32$

Now we have everything in order to replace into formula (1):

$33.9-1.32\frac{7.2}{\sqrt{25}}=31.999$

$33.9+1.32\frac{7.2}{\sqrt{25}}=35.801$

So on this case the 80% confidence interval would be given by (31.999;35.801)

And the margin of error is given by:

$ME = t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we got:

$ME = 1.32\frac{7.2}{\sqrt{25}} =1.9008$

7 0

4 years ago

4 Write 4 as a percentage Pls help me i need someone to explain it to me

kicyunya [14]

Answer:

Yeah! Well 4 as a percentage would be 0.04 because 4% is 0.04.

Step-by-step explanation:

When you multiply a number times 100 (100%) you move the decimal place 2 places to the left. When you multiply a number times 10 you move the decimal place 1 place to the left. Just think that 100 has 2 0's in it so move that much to the left.

Hope this helps!

4 0

3 years ago