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tensa zangetsu [6.8K]
3 years ago
13

Mark wrote the highest score he made on his new video game as the product of 70x6,000. Use the associative and commutative prope

rties to show how mark can calculate this product mentally
Mathematics
2 answers:
Lelu [443]3 years ago
5 0
You need a caculater that is what you need tho

coldgirl [10]3 years ago
5 0

Answer:

70 × 6000 = 420000

Step-by-step explanation:

In this question, we need to write the product of two numbers 70 × 6000 using associative and commutative properties.

Two numbers are commutative if,

a × b = b × a

Two numbers are associative if,

(a × b) × c = a × (b × c)

Here, 70\times 6000=(7\times 10)\times (6\times 1000)

70\times 6000=7\times 10\times 6\times 1000

Using commutative property as,

70\times 6000=7\times 6\times 10\times 1000

Now using associative property as,

70\times 6000=42\times (10\times 1000)

70\times 6000=42\times (10000)

70\times 6000=420000

So, 70 × 6000 = 420000. Hence, this is the required solution.

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An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r =
avanturin [10]

Answer:

D

Step-by-step explanation:

We know that the equation for the depreciation of the car is:

y=A(1-r)^t

Where y is the current cost, A is the original cost, r is the rate of depreciation, and t is the time, in years.

We are told that the value of the car now is half of what it originally cost. So:

y=\frac{1}{2}A

Substitute this for y:

\frac{1}{2}A=A(1-r)^t

We also know that the rate of depreciation is 10% or 0.1. Substitute 0.1 for r:

\frac{1}{2}A=A(1-0.1)^t

So, let's solve for t. Divide both sides by A:

\frac{1}{2}=(1-0.1)^t

Subtract within the parentheses:

\frac{1}{2}=(0.9)^t

Take the natural log of both sides:

\ln(\frac{1}{2})=\ln((0.9)^t})

Using the properties of logarithms, we can move the t to the front:

\ln(\frac{1}{2})=t\ln(0.9)

Divide both sides by ln(0.9):

t=\frac{\ln(\frac{1}{2})}{\ln(0.9)}

Use a calculator. So, the car is approximately:

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7 0
3 years ago
A parking garage bases its prices on the number of hours that a vehicle parks in the garage.
yarga [219]

The pricing scheme of the function is (a) The first two hours cost $2, between two hours and six hours cost $2 per hour, and all hours after that cost $1.

<h3>How to determine the pricing scheme?</h3>

The points are given as:

  • Constant = (0,2) to (2, 2)
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  • Another = (6,10) to (7,11)

The constant interval implies that the first two hours cost $2

Next, we calculate the slope/rate of the other points.

This is done using

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

So, we have:

m1 = (10 - 2)/(6 - 2) = 2

m2 = (11 - 10)/(7 - 6) = 1

This means that:

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Hence, the pricing scheme of the function is (a)

Read more about piecewise function at:

brainly.com/question/12561612

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3 years ago
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Murljashka [212]

Answer:

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Step-by-step explanation:

6 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Please see attached. I hope this helps! 
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