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attashe74 [19]
3 years ago
13

A dealer currently makes a profit of x% of his cost when he sells goods. If the dealer could get his goods for 8% less while kee

ping his price fixed, his profit would be increased to (x+10)% of his cost. Find x
Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0

Answer:

15%

Step-by-step explanation:

Let

Selling price = SP

Cost price = CP

If CP = 100

Profit = selling price - cost price

x% = SP - x% of 100

x% + 100x% = SP

SP = 100 (1 + x/100) (1)

If CP = 92

SP = 92 (1+ {x+10}/100)

Equate both SP

100 (1 + x/100) = 92 (1+ {x+10}/100)

100 + x = 92 + [{23/25} * (x+10)]

{2/25}x = 30/25

x = 30/25 ÷ 2/25

= 30/25 × 25/2

= 30/2

x = 15%

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vovangra [49]

The last image is the graph of y = 3^x

In fact, it is an increasing exponential function, and it passes through the points (0,1), which reflects the fact that 3^0=1 and (1,3), which reflects the fact that 3^1=3.

Now, y = 3^{x-4} is a child of the parent function we just described. Precisely, it is the result of the transformation f(x) \to f(x-4)

In general, every time you perform a transformation like f(x) \to f(x+k), you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.

Since in this case k = - 4, we have a horizontal translation of 4 units to the right.

So, the correct option is the third one, because:

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5 0
3 years ago
The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr
malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

A = \frac {b * h} {2}

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

b = 6 + 2h

Substituting we have:

88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0

We divide between 2 on both sides:

h ^ 2 + 3h-88 = 0

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

(h + 11) (h-8) = 0

We have two roots:

h = -11\\h = 8

We choose the positive value.

Thus, the base of the triangle is:b = 6 + 2 (8) = 22

Answer:

The base of the triangle is 22 units.

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3 years ago
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Answer:

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Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
galben [10]

Answer:

Step-by-step explanation:

first, we find the slope

slope = (y2 - y1) / (x2 - x1)

(-3,7)....x1 = -3 and y1 = 7

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now we sub

slope(m) = (-1 - 7) / (9 - (-3) = -8 / (9 + 3) = -8 / 12 reduces to - 2/3

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use either of ur points...I will use (-3,7)...x = -3 and y = 7

now we sub and find b, the y intercept

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7 0
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nikitadnepr [17]
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