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3 years ago

11

A surfboard is originally priced at $155. The online retailer gives a discount and the surfboard is now priced at $93. Enter the

percentage discount for
the cost of the surfboard.

1 answer:

GrogVix [38]3 years ago

7 0

93 is 60 percent from the original price.
The discount reduces the original price by 40 percent.

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solmaris [256]

Answer:

The initial mass of the sample was 16 mg.

The mass after 5 weeks will be about 0.0372 mg.

Step-by-step explanation:

We can write an exponential function to model the situation.

Let the initial amount be A. The standard exponential function is given by:

$P(t)=A(r)^t$

Where r is the rate of growth/decay.

Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

$\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}$

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.

Therefore, when x = 12, P(x) = 2. By substitution:

$\displaystyle 2=A\Big(\frac{1}{2}\Big)^{12/4}$

Solve for A. Simplify:

$\displaystyle 2=A\Big(\frac{1}{2}\Big)^3$

Simplify:

$\displaystyle 2=A\Big(\frac{1}{8}\Big)$

Thus, the initial mass of the sample was:

$A=16\text{ mg}$

5 weeks is equivalent to 35 days. Therefore, we can find P(35):

$\displaystyle P(35)=16\Big(\frac{1}{2}\Big)^{35/4}\approx0.0372\text{ mg}$

About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.

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3 years ago

Mrs. Garcia’s students were asked to find 220% of 75. Each of the students had a different method.

ludmilkaskok [199]

Answer:

Colton.

Step-by-step explanation:

Amy: 220% is basically $\frac{220}{100}$ which in decimal form, is 2.20.

Braden: 100% + 100% + 20% = 220%, so it is accurate.

Colton: 100% + 10% + 10% = 120%, not 220%.

Dainielle: 100% of 75 is 75. Dividing the 100% of 75 by 5 makes a 20%. Adding 100% of 75 twice makes 200%. 200% + 20% = 220%, so it is accurate.

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2 years ago

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HEEEEEEELPPPPP? What is the equation of the line in y=mx+b format?

elena-s [515]

Answer:

y = 2x+2

Step-by-step explanation:

6 0

2 years ago

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Melissa has three different positive integers. she adds their reciprocals together and gets a sum of 1. what is the product of h

madreJ [45]

First let us assign the three positive integers to be x, y, and z.

From the given problem statement, we know that:

(1/x) + (1/y) + (1/z) = 1

<span>
</span>Without loss of generality we can assume x < y < z.

We know that:

1 = (1/3) + (1/3) + (1/3)

Where x = y = z = 3 would be a solution

<span>However this could not be true because x, y, and z must all be different integers. And x, y, and z cannot all be 3 or bigger than 3 because the sum would then be less than 1. So let us say that x is a denominator that is less than 3. So x = 2, and we have:</span>

(1/2) + (1/y) + (1/z) = 1

Therefore

(1/y) + (1/z) = 1/2

<span>We also know that:</span>

(1/4) + (1/4) = (1/2)

<span>and y = z = 4 would be a solution, however this is also not true because y and z must also be different. And y and z cannot be larger than 4, so y=3, therefore</span>

(1/2) + (1/3) + (1/z) = 1

Now we are left by 1 variable so we calculate for z. Multiply both sides by 6z:

3z + 2z + 6 = 6z

z = 6

Therefore:

(1/2) + (1/3) + (1/6) = 1

<span>so {x,y,z}={2,3,6} </span>

<span> </span>

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3 years ago

Helloo!! I really need help on this. Thank you! I’ll mark brainly.

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Rise/Run

5/4

You go to the point farthest to the left and count up. This will be your Rise. Then you count over to the point on the right. This will be your Run.

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2 years ago

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