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1 year ago

Daniel has $30 in a savings account that earns 5%

1 answer:

8 0

If Daniel has $30 in a savings account that earns 5% annually and the interest is not compounded,then he will get $33 after 2 years.

Given that Daniel has $30 in a savings account that earns 5% annually and the interest is not compounded.

We are required to find the amount of money that Daniel will get after 2 years.

Since the amount is not compounded so interest will be same in all years as if in the first year.

The interest will be 2*30*0.05=3

The total amount including interest=30+3

=$33

Hence if Daniel has $30 in a savings account that earns 5% annually and the interest is not compounded,then he will get $33 after 2 years.

Learn more about compounding at brainly.com/question/24924853

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Describe how to round 678 to the nearest hundred

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If it is over 50 round up. If it is under 50 round down.
So since 78 is over fifty, you would round it up to the next hundred which would be 700

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3 years ago

Fiona bought some socks that cost $4.95 for each pair and some belts that cost $6.55 each. Fiona spent $27.95 in all. Let a repr

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Answer:

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Step-by-step explanation:

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3 years ago

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Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16

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Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

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The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

$|A'B'|=k\times |AB|$ .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}$

$PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}$

It is noticed that the size of side in preimage is $2\sqrt{13}$ and the size of same side in image is $\sqrt{13}$ .

Using equation (1), we get

$\sqrt{13}=k \times 2\sqrt{13}$

$k=\frac{1}{2}$

$k=0.5$

Hence, the value of scale factor is 0.5.

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3 years ago

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Mashcka [7]

Answer:

Step-by-step explanation:

In order to solve this problem, we need to use Pythagorem Theorem (a^2+b^2=c^2)

When using the pythagorem theorem the hypoteneuse would be the c^2 and the two other sides would be a and b (the order doesn't matter).

So, our formula would be:

4^2+3^2=c^2

Simplifies into:

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In order to remove the exponent 2, we would have to square root both sides by 2. After doing so, you get the answer 5.

Hope this helps! :)

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3 years ago

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Answer:

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We have the standard deviation for the sample, so we use the t-distribution to solve this question.

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The 90% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.

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