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3 years ago

Independent Practice

Mathematics

2 answers:

andrey2020 [161]3 years ago

8 0

Answer:

Step-by-step explanation:

choli [55]3 years ago

6 0

Answer:

|19 | = |–19|

Step-by-step explanation:

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Abigail is 54. Inches tall which of the following is Abigail height

Tresset [83]

Answer:

4.5 feet

Step-by-step explanation:

One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:

3 0

3 years ago

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

What is the value of x?<br><br> Enter your answer in the box

VikaD [51]

The value of x is 78 Degrees. The angles are complementary so they are equal.

6 0

3 years ago

kondaur [170]

A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).

Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.

Info given:
<span>the sum of the digits of a two-digit number is 6
x + y = 6 </span>
<span>if the digits are reversed, yx the difference between the new number and the original number is 18.

**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))

Original number = 10x + y
Reversed/New number = 10y + x

Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2

Now we have two equations in two variables
</span>y - x = 2
<span>x + y = 6

Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2

That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.

2 + y = 6
y = 4

number "xy" = 24

</span>

4 0

3 years ago

Write all the factors of 26

mina [271]

Factors of 26 are 1, 2, 13, 26 all you have to do is figure out which numbers can go until a number and in this case the number is 26.

6 0

3 years ago

Read 2 more answers