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NemiM [27]
3 years ago
14

Blake Ewasko's charge account uses the unpaid balance method to compute the finance

Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer:

$1,114.66

Step-by-step explanation:

Data provided in the question:

Monthly periodic rate = 2.15% = 0.0215

current Charges = $189.34

Payment made = $100.00

Finance charge = $21.54

Now,

Previous balance = Finance charges ÷ Rate

= $21.54 ÷ 0.0215

= $1001.86

Unpaid balance = Previous balance + Current charges - Payment

= $1001.86 + $189.34 - $100.00

= $1091.2

New balance = Unpaid balance × ( 1 + Rate )

= $1091.2 × ( 1 + 0.0215)

= $1,114.66

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Sin theta+costheta/sintheta -costheta+sintheta-costheta/sintheta+costheta=2sec2/tan2 theta -1
sleet_krkn [62]

\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}=\dfrac{2sec^2\theta}{tan^2\theta-1}

From Left side:

\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}\bigg(\dfrac{sin\theta+cos\theta}{sin\theta+cos\theta}\bigg)+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}\bigg(\dfrac{sin\theta-cos\theta}{sin\theta-cos\theta}\bigg)

\dfrac{sin^2\theta+2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}+\dfrac{sin^2\theta-2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}

NOTE: sin²θ + cos²θ = 1

\dfrac{1 + 2cos\theta sin\theta}{sin^2\theta-cos^2\theta}+\dfrac{1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}

\dfrac{1 + 2cos\theta sin\theta+1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}

\dfrac{2}{sin^2\theta-cos^2\theta}

\dfrac{2}{\bigg(sin^2\theta-cos^2\theta\bigg)\bigg(\dfrac{cos^2\theta}{cos^2\theta}\bigg)}

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Left side = Right side <em>so proof is complete</em>

8 0
3 years ago
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3 years ago
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ioda

Answer: You need a grade of 78 on the final exam to earn a final grade average of at least 87 in each grading system.

Step-by-step explanation:

(85 + 90 + 95 + x)÷ 4 =87

Simplify:

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Rearrange:

(x + 270) ÷ 4 = 87

Multiply terms to Reduce:

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Cancel Multiplied terms in Denominator:

x + 270 = 4 * 87

Multiply:

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2 years ago
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