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serious [3.7K]
3 years ago
13

Zak takes 3 steps for every 2 steps Rich takes. How many steps will zak take if rich takes 18 steps? Explain how you found the a

nswer
Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0
To solve this problem we can think of a rule of three.
 Writing the rule of three we have:
 3 ---> 2
 x ----> 18
 Clearing the value of x
 x = ((18) / (2)) * (3) = 27
 answer
 zak will take 27 steps if rich takes 18 steps
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The graph shows the solution for which inequalities?
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Answer:

Inequalities are,

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Step-by-step explanation:

Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).

Let the equation of this line is,

y = mx + b

Slope of the line = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

                      m = \frac{2+2}{1-0}

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Y-intercept 'b' = -2

Equation of the line will be,

y = 4x - 2

Since shaded area is on the left side of this solid line so the inequality representing this region will be,

y ≥ 4x - 2

Another line is a solid blue line parallel to the x-axis.

Shaded region (blue) above the line will be represented by,

y ≥ 2

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3 years ago
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Answer:

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6 0
2 years ago
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You take out $50,000 for loans during your college career. You must pay it back with 7% APR for 20 years, making monthly payment
Ad libitum [116K]

Answer:

The monthly payment for the loan amount for 20 years is $806.167

Step-by-step explanation:

The principal loan amount= $ 50,000

The rate of interest = 7 %

the time period of loan = 20 years = 20 × 12 = 240 months

let the amount after 20 years = $ A

<u>From Compounded method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm Time}

or, A = 50,000 × (1+\dfrac{\textrm 7}{100})^{\textrm 20}

or, A = 50,000 × (1.07)^{20}

Or, A = 50,000 × 3.8696

∴ Amount = $ 193,480

So, The amount after 20 years = $ 193,480

The monthly payment amount = $ \frac{193480}{240} = $ 806.167

Hence The monthly payment for the loan amount for 20 years is $806.167 Answer

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