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castortr0y [4]
3 years ago
13

You buy a bicycle helmet for $22.26, which includes 6% sales tax. The helmet is discounted 30% off the selling price. What is th

e original price
Mathematics
1 answer:
Firdavs [7]3 years ago
5 0
If you paid $22.26 after the discount and tax then 30% is 0.30 and 30% OFF is 1-0.30=0.70
Tax is 6% or 0.06 and along with the initial is 1+0.06=1.06 so P is original price in P×0.70×1.06=22.26
P×0.742=22.26
P=$30 was the original price
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Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33
Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

y =-3x^2 + 12x - 33

Required

The true statement about the extreme value

First, write out the leading coefficient

Leading = -3

-3 < 0 means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

x = -\frac{b}{2a}

Where:

a= -3; b =12; c =-33

So, we have:

x = -\frac{12}{2 * -3}

x = -\frac{12}{-6}

x =2

Substitute x =2 in y =-3x^2 + 12x - 33

y = -3*2^2 + 12 * 2 - 33

y = -21

<em>Hence, the maximum is -21.</em>

8 0
3 years ago
1.- Maria compro $750 en mercancia, por pajar en efectivo le hacen un descuento del 15%, ¿cuánto pago Maria con el descuento?
miss Akunina [59]

Answer:

$637.5

Step-by-step explanation:

Given data

Cost of  merchandise= $750

Discount= 15%

Let us find the amount of the discount

=15/100*750

=0.15*750

=$112.5

Hence the amount paid will be

=750-112.5

=$637.5

5 0
3 years ago
Use the empirical rule. the mean speed of a sample of vehicles along a stretch of highway is 66 miles per​ hour, with a standard
Romashka-Z-Leto [24]
I dont know this one i am very sorry
5 0
3 years ago
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Solve log 2x^2 + 2 = 6. Round to the nearest thousandth if necessary.
o-na [289]

Answer:

x = 70.71

Step-by-step explanation:

log 2x² + 2 = 6.

log 2x² + log 100= log 10⁶.

2x² × 100 = 10⁶

2x² = 10⁶/100

2x² = 10⁴

x² = 10⁴/2

x² = 5000

x = √5000

x is approximately 70.71

x = 70.71

5 0
3 years ago
- Amanda has 27 seashells in her collection. She
Nostrana [21]

Answer:

its 9

Step-by-step explanation:

because she has 27 of them and she split them up in to 3 rows so all you do is Divide 27 by 3

3 0
3 years ago
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