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3 years ago

Find the length of side AC.

Mathematics

2 answers:

Nat2105 [25]3 years ago

7 0

Answer:

Step-by-step explanation:

because its a right angled triangle which should be 90 degrees so 90-45=45 so AC is 45 and AB is 45 so the triangle ACB is 90

bija089 [108]3 years ago

7 0

<h2>Answer:</h2>

<u>The length of side AC is</u><u> 4.25</u>

<h2>Step-by-step explanation:</h2>

By using trigonometric formula

Sin θ = Perpendicular / Hypotenuse

But we dont have the angle A so lets find that first

We know that the sum of all interior angles of triangle is 180 so 45+A+90 = 180

Or A+135= 180 => A= 45

Now

Sin θ = Perpendicular / Hypotenuse

Sin 45 = perpendicular / 5

0.85 = Perpendicular / 5

Perpendicular = 5 * 0.85

Perpendicular = 4.25 which is AC

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3 years ago

How long does it take for the account to be worth about $750?

pochemuha

Answer:

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Step-by-step explanation:

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3 years ago

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4 years ago

Michelle opened her bank account on September 1st with $25 and continues to deposit $25 each month.

Colt1911 [192]

Michelle opened her bank account on September 1st with $25 and continues to deposit $25 each month. Calculate the time Michelle will have a total of $500 in her account.

Answer:

19 months

Step-by-step explanation:

Initial deposit =$25

Monthly deposit = $25

Total deposit, y after x months can be modeled using the relation :

y = $25 + $25x

To have a total of $500 ; y = 500

$500 = $25 + 25x

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6 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 fo

lakkis [162]

Answer:

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

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

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.

$r(E.week)=\frac{0.09265}{52} =0.00178173$

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 sellected, 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.

$r(E.month)=\frac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into a 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.

$r(E.quarter)=\frac{0.09719}{4}=0.0242975$

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

$r(e.a)=(1+0.0242975)^{12} -1=0.10079$

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

Best of Luck.

5 0

3 years ago

Read 2 more answers