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faust18 [17]
3 years ago
10

Interest: $160.67 Principal: $2000 Rate: % Time: 8 months

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

12.05%

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 12.050249999994%/100 = 0.12050249999994 per year,

then, solving our equation

I = 2000 × 0.12050249999994 × 0.666666666667 = 160.67

I = $ 160.67

The simple interest accumulated

on a principal of $ 2,000.00

at a rate of 12.050249999994% per year

for 0.666666666667 years is $ 160.67.

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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)}

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

\dfrac{2sec^2\theta}{tan^2\theta-1}

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

8 0
3 years ago
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Employees at a company are given £1,200 to spend on items for the office.
umka21 [38]

Answer:

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Step-by-step explanation:

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15 bag multiple for 40= 600 - 15%= 540

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3 0
3 years ago
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Bas_tet [7]

Answer:

$47

Step-by-step explanation:

If she spent 47, and had none after, she spent 47.

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4 years ago
− 4 + 8 [ 4 + 3 ( ( − 7 )^2 + 2 ) ]
yawa3891 [41]
I looked it up on google it is 1252
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By the end of Monday, a grocery distribution center has 240 cases of green beans in its warehouse. Every day, the center deliver
asambeis [7]
The answer is B.
Explanation:

240-18
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222-18
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204-18
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3 years ago
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