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ANEK [815]
3 years ago
5

Compute the face value of a 90-day promissory note dated October 22, 2018 that has a maturity value of $76,386.99 and an interes

t rate of 7.5% p.a.
Mathematics
1 answer:
aliina [53]3 years ago
6 0

Answer:

The face value would be $75,000

Step-by-step explanation:

Maturity value = $76,386.99

Time = 90 days

Rate of interest = 7.5%

Let face value be 'x'

By using the formula A=P(1+\frac{RT}{100})

                      $76,386.99 = x(1+\frac{7.5\times \frac{90}{365}}{100})

Time in years = \frac{90}{365}

⇒ $76,386.99 = x( 1 + 0.01849315 )

⇒ x = \frac{76,386.99}{1.01849315}

x = $75,000

The face value would be $75,000

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Angle B is 45% of angle A. Angle C is 35% of angle A. What is the measurement of angle A?
mafiozo [28]

We assume , A, B, and C are angles of a triangle.
The sum of angles of a triangle is equal to 180º; therefore:
A+B+C=180º

B is 45% of angle A; then B=0.45A
C is 35% of anble A; Then C=0.35A

We can suggest this equation;
A+0.45A+0.35A=180
1.8A=180
A=180/1.8
A=100

Answer: The measurement of angle A is 100º.
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3 years ago
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2 years ago
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
3 years ago
A family of 10 purchased tickets to the county fair. Tickets for adults cost $6 and tickets for children cost $3. If the total c
blsea [12.9K]

Answer:

3 adults 2 children

Step-by-step explanation:

(3 x 10) + (2 x 6)

30+12=42

4 0
3 years ago
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How to divide long division with decimals.
yanalaym [24]

Answer:

If the number your dividing has a decimal, move the decimal point all the way to the right, counting how many spaces you have moved it. Then, move the decimal point in the number you're dividing the same number of places to the right.

Step-by-step explanation:

4 0
2 years ago
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