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irakobra [83]
3 years ago
10

Elisa buys a violin, which costs $2200, through a hire purchase agreement. Under the agreement, she

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0

Answer:

-$860

-58.64%

Step-by-step explanation:

Given the cash price as $2200, the down payment as $500 and monthly installments of $320 for 8 months, the interest charged is calculated as;

Interest=Hire \ Purchase \ Price -Cash \ Price\\\\=(500+320\times8)-2200\\\\=3060-2200\\\\=860

Hence, the interest charged is $860

#Flat rate of interest is similar to simple interest rate.

Knowing n=8 months and interest as $860, the rate is calculated as:

I=P\times i \times n  \ \ \ \ \n=8/12 \ ,P=2200\\\\860=2200i\times \frac{8}{12}\\\\i=0.5864

Hence, the flat rate of interest over the 8 months is 58.64%

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ddd [48]

The complete question is:

Find the missing x- and y-values and Pythagorean triples using the identity given:

(x² - y²)² + (2xy)² = (x² + y²)²

X Value: 4

Y Value: 3

Pythagorean Triples: ?

X Value: 5

Y Value: ?

Pythagorean Triples: (9,40,41)

X Value: ?

Y Value: 3

Pythagorean Triples: (27,36,45)

X Value: 7

Y Value: 5

Pythagorean Triples: ?

Step-by-step explanation:

Pythagorean triples are three numbers p, q, r, that satisfy Pythagoras' theorem.

That is, they are numbers such that

r² = p² + q².

Given the identity

(x² - y²)² + (2xy)² = (x² + y²)²

We can say tha

p = x² - y²

q = 2xy

r = x² + y²

Now, let us use this to solve the given problems.

X Value: 4

Y Value: 3

p = 4² - 3² = 7

q = 2×3×4 = 24

r = 3² + 4² = 25

Pythagorean Triples: (7,24,25)

X Value: 5

Y Value: ? = (4)

q = 2xy = 40

2×5×y = 40

y = 40/10 = 4

Pythagorean Triples: (9,40,41)

X Value: ? = (6)

Y Value: 3

2xy = q = 36

2×3×x = 36

x = 36/6 = 6

Pythagorean Triples: (27,36,45)

X Value: 7

Y Value: 5

p = 7² - 5² = 24

q = 2×7×5 = 70

r = 7² + 5² = 74

Pythagorean Triples: ? = (24,70,74)

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vova2212 [387]

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

so

m1*m2=-1

Step 1

<u>Find the slope of the given line</u>

we have

3y=-4x+2

Solve for y

Divide by 3 both sides

3y/3=(-4x+2)/3

y=-\frac{4}{3}x+ \frac{2}{3}

the slope of the given line is m1=-\frac{4}{3}

Step 2

<u>Find the slope  of a line that is perpendicular to the given line</u>

we have

m1=-\frac{4}{3}

m1*m2=-1

m2=-1/m1

substitute the value of m1

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therefore

<u>the answer is</u>

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Answer:

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10. As the temperature increases the number of people increases.

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