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2 years ago

How many unit cubes are in one layer?

Mathematics

1 answer:

Ira Lisetskai [31]2 years ago

3 0

Answer:

6 unit cubes

<u>Skills needed: Dimensioning</u>

Step-by-step explanation:

1) Layers are the length x width

The height determines the number of layers. There are 5 layers in this figure as the height is 5.

2) The length x width = 3 x 2 = 6

6 is the answer in this case.

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Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9. 955% annually. Which, if any, of the f

Jlenok [28]

Melanie should take A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

<h3>What options Melanie should choose for the best deal?</h3>

It is given that

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

$r(Eweek)=\dfrac{0.09265}{52} =0.00178173$

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

$r(e,a)=1+(r(e.week))^{52} -1$

$r(e,a)=1+(0.00178173)^{52} -1=0.09699$

Or 9.669% annual, which is less than 9.955%, so this one is selected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

$r(Emonth)=\dfrac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into an effective annual rate.

$r(e,a)=1+(r(e.month))^{12} -1$

$r(e,a)=1+(0.00786833))^{12} -1=0.09862$

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

$r(Eweek)=\dfrac{0.09719}{4} =0.0242975$

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

$r(e,a)=1+(0.0 242975))^{12} -1=0.010079$

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Thus Melanie should take A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

To know more about Compound interest follow

brainly.com/question/24924853

6 0

2 years ago

Benito save six dollars out of every $20 he earns he earned $90 one month how much did he save

Wittaler [7]

I'm pretty sure he saved $27. I just divided 90 by 20 to get the amount of times he would have saved 6 dollars. Then, I multiplied that number, 4.5, times 6 to get the amount he saved. Hope that helps (and that it's correct lol). <span />

8 0

3 years ago

Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

padilas [110]

Answer:

7 sqrt(2)/2 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 45 = x/7

7 sin 45 =x

7 sqrt(2)/2 =x

5 0

3 years ago

Read 2 more answers

Mercedes would like to have an average of 88 in her math class. There are five assignments with the following grades : 85, 100,

vredina [299]

Answer: 80%

Step-by-step explanation:

To find the average, add all the grades and divide by the number of grades

sum of all grades/number of grades

85 + 100 + 88 + 80 + 95 + x/6

She wants to have an 88, so we can set the expression above equal to 88

448 + x/6= 88

Multiply by 6 on both sides

448 + x = 528

Subtract 448 on both sides

x=80

She needs to score at least an 80 to get an 88 average.

Hope this helped!

3 0

3 years ago

A circle with radius of 1 cm sits inside a 3 cm x 3 cm rectangle.

alina1380 [7]

Answer:

6.14

Step-by-step explanation:

Find area of shaded region:

regtangle area - circle area = shaded area

Regtangle area:

3x3=9

Circle area:

Pi (3.14) x radius x radius= 3.14

area all together if shaded region

9-3.14=6.14

4 0

3 years ago