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It will take them approximately 3 months to pay off the balance on the credit card
<h3 /><h3>First Month</h3>To solve this problem, we need to find the interest on 3287.90 at 14.5%
for the first month, we would have
Now we divide this by 12 to give the interest payable on the first month
So we have
We would do the same thing for the second month and it will give us
For the second month, we have $25.71 as the interest payable
We can calculate how much would be left after the second month.
In the third month, since the balance remaining is less than the monthly payment schedule, we can assume they'd pay everything off which is 953.34.
From the calculations above, we can see that it'll take them 3 months to pay off the credit card balance.
The balance at the end of each month are;
- $2,127.63
- $953.34
- $0
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Answer:
Step-by-step explanation:
First, let's determine which quadrant our angle θ lies in.
Remember ASTC, where:
Everything is positive in QI,
Only sine (and cosecant) is positive in QII,
Only tangent (and cotangent) is positive in QIII,
And only cosine (and secant) is positive in QIV.
Since our tangent is negative, and our cosine is positive, this means that our θ <em>must</em> be in QIV.
In QIV, sine is negative, tangent is negative, and cosine is positive.
With that, let's figure out the remaining trig ratios.
We know that:
Remember that tangent is the ratio of the opposite side to the adjacent side.
Let's figure out our hypotenuse using the Pythagorean Theorem:
Substitute 1 for a and 2 for b (we can ignore the negative since we're squaring anyways). This yields:
Square:
Add:
Take the square root:
So, our square root is √5.
So, our three sides are: Opposite=1, Adjacent=2, and Hypotenuse=√5.
Sine and Cosecant:
Remember that:
Substitute 1 for the opposite and √5 for the hypotenuse. This yields:
Rationalize:
And since our angle is in QIV, we add a negative:
Cosecant is simply the reciprocal of sine. So:
Cosine and Secant:
Remember that:
Substitute 2 for the adjacent and √5 for the hypotenuse. This yields:
Rationalize:
Since our angle is in QIV, cosine stays positive.
Secant is the reciprocal of cosine. So:
Tangent and Cotangent:
We were given that:
To find cotangent, flip:
And we're done!