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SashulF [63]
2 years ago
9

Why can you use a model to check your answer for a division problem

Mathematics
1 answer:
aivan3 [116]2 years ago
7 0
If multiplication and retracing your track count as a model I believe it's good to see what you did wrong and to see what the answer really should bee
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Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Ostrovityanka [42]

Answer:

(a) and (f)

Step-by-step explanation:

Given

y = 5x + 12

See attachment for table and options

First, we calculate the slope of the table

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) = (2,29)

(x_1,y_1) = (4,53)\\

So, we have:

m = \frac{53- 29}{4 - 2}

m = \frac{24}{2}

m = 12

The equation is then calculated using:

y = m(x -x_1) + y_1

This gives:

y = 12*(x -2) + 29

y = 12x -24 + 29

y = 12x+5

So, we have:

y = 5x + 12 --- The given equation

and

y = 12x+5 --- The equation of the table

An equation is represented as:

y = mx + b

Where:

m = slope or rate of change

b = y intercept

So, for the given equation: y = 5x + 12

Rate of change = 5

y intercept = 12

For the table: y = 12x+5

Rate of change = 12

y intercept = 5

In conclusion:

(a) y = 12x+5 has the greater rate of change:

and

(f) y = 5x + 12 has the greater y intercept

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3 years ago
if $5,000,000 isinvested at 4% interest compunded continuously, how much willl the investment be worth in 30 years
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To solve this problem, you can use the compound interest formula. 

Here it is once you plug in the numbers: A = 5,000,000 ( 1 + .04) ^30

Just solve the equation to find the solution.


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