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andriy [413]
4 years ago
13

PLEASE HELP!!!

Mathematics
1 answer:
cluponka [151]4 years ago
6 0

Answer:

The table of values and graph is as attached

Step-by-step explanation:

Pick values for x as follows;

When x=0,substitute value for x in equation 3x-4y=12

3(0)-4(y)=12,

-4y=12, y=-12/4=-3

When x=1,substitute value for x in equation 3x-4y=12

3(1)-4(y)=12,

-4y=12-3, y=-9/4=-2.25

When x=2, substitute for x in equation 3x-4y=12

3(2)-4(y)=12,

6-4y=12, -4y=12-6, -4y=6

y=-6/4=-1.5

When x=3, substitute for x in equation 3x-4y=12

3(3)-4(y)=12,

9-4y=12, -4y=12-9, -4y=3

y=-3/4=-0.75

Values for x and y were plotted on the graph attached

Download xlsx
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3 years ago
Jamie invests $1,200 in an account that earns 3% interest. Assuming continuous compounding, how much is in his account after 7 y
goblinko [34]

Answer:

The amount in account after 7 years of investment is $1478.4

Step-by-step explanation:

Given as :

The principal invested in account by Jamie = p = $1200

The rate of interest = r = 3% compounded annually

The Time period of investment = t=  7 years

Let The Amount in Jamie account = $ A

<u>For continuous compounding</u>

Amount = Principal × e^{r \times time}

Or, A = p × e^{r \times time}

Or, A = $1200 × e^{0.03 \times 7}

Or, A = $1200 × 2.71^{0.03 \times 7}

Or, A = $1200 × 1.232

∴  A = $1478.4

So, The amount after continuous compounding = A = $1478.4

Hence , The amount in account after 7 years of investment is $1478.4    Answer

5 0
4 years ago
A surf shop rents surfboards and charges x dollars for one rental day. it gives a discount for a weekly seven day rental and onl
Artyom0805 [142]

A. The shop charges $8.517 for a one-day rental

B. The shop charges $42.857 for a weekly rental.

Step-by-step explanation:

Step 1; The shop charges $x for a one-day rental and $5x for a weekly rental. Assume $x = a and $5x = b, from this we can write,

5a = b, take this as equation 1.

Step 2; The shop had a total sale of $600 by renting 20 boards for a one-day rental and 10 boards for a weekly rental. So,

20a + 10b = 600, take this as equation 2.

Substituting equation 1 in 2, we get

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From equation 1, 5a = b,

5 × $8.5714 = b,

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So for a one-day rental, the shop charges $8.5714 and for a weekly rental it charges $42.857.

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3 years ago
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tatiyna

Answer:

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Step-by-step explanation:

f(x)=x^2-5x+6

To find the y intercept, set x=0

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