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Kobotan [32]
3 years ago
9

after a 30% reduction, you purchase a dictionary for $30.80 what was the dictionary price before the reduction

Mathematics
1 answer:
liq [111]3 years ago
4 0

Answer:

Well the original price would be $44

Step-by-step explanation:

So make an equation

Lets make X stand for the price before the deduction

so x-x(0.3)=30.80

Subtracting the X by x(0.3) would tell us the price, the 0.3 stands for 30 percent and we know its 30 percent of X so we subtract that since 0.3x would give the change

Now just solve the equation

You’ll get 44.

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The average annual salary of the employees of a company in the year 2005 was $70,000. It increased by the same factor each year
dezoksy [38]
We can make use of the general formula for the geometric series to generate the function representing the average annual salary.
an = a0(r)^(n-1)

Or
f(x) = a0(r)^(x - 1)

Plugging in the given values for the year 2005 and 2006 to ge the value of r.
82000 = 70000 (r)^(1-1)
r = 1.1714

Therefore, the function is:
f(x) = 70,000 (1.1714)^(x-1)
3 0
3 years ago
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A hyperbola centered at the origin has verticies at (add or subtract square root of 61,0 and foci at (add or subtract square roo
deff fn [24]

Answer:

\frac{x^2}{61}-\frac{y^2}{37}  =1

Step-by-step explanation:

The standard equation of a hyperbola is given by:

\frac{(x-h)^2}{a^2} -\frac{(y-k)^2}{b^2} =1

where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²

Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)

The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61

The foci is (h ± c, k) = (±√98, 0). Therefore c = √98

Hence:

c² = a² + b²

(√98)² = (√61)² + b²

98 = 61 + b²

b² = 37

b = √37

Hence the equation of the hyperbola is:

\frac{x^2}{61}-\frac{y^2}{37}  =1

6 0
3 years ago
What percent of 55 is 44?
shepuryov [24]
125% maybe i don’t know for sure
3 0
2 years ago
How many hundreds tens and ones have 423
Gnom [1K]
Four hundreds two tens and three ones
7 0
3 years ago
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55% of 387 is what number?
yarga [219]

Answer:

212.85

Step-by-step explanation:

55% = \frac{55}{100} = 0.55

55% of 387 = 0.55 × 387 = 212.85

6 0
4 years ago
Read 2 more answers
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