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otez555 [7]
3 years ago
7

Graph by using the slope and the y intercept.

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

1. a) equation of the line :

  • y =  \dfrac{2}{5}x   - 7

y - intercept = -7

so, it will pass through point (0, -7)

and if we plug the value of x as 5, we get

  • y =  (\dfrac{2}{5}  \times 5) - 7

  • y = 2 - 7

  • =  - 5

so, it will pass through point (5, -5) too

now, just plot the points (0 , -7) and (5 , -5) and join them.

2. b) equation of line is :

  • y =  - 3x + 5

here, y - intercept = 5

so the line passes through point (0 , 5)

now, Plugging the value of x = 1 we get :

  • y =(  - 3 \times 1) + 5

  • y =  - 3 + 5

  • y = 2

so, the given line passes through point (1 , 2)

plotting the points, we can get our required line.

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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
Penelope made note of all the bicycles and cars she could see parked or locked on acertain city block. All the cars had exactly
lesantik [10]

Given:

The number of cycles is, <em>n</em> (s) = 7.

The number of wheels in the cycle is, <em>n </em>(sw) = 2.

The number of cars is, <em>n</em> (c) = 15.

The number of wheels in the car is, <em>n</em> (cw) = 4.

The obective is to find the total number of wheels.

The total number of wheels is,

\begin{gathered} T=n(sw)\cdot n(s)+n(cw)\cdot n(c) \\ =2\cdot7+4\cdot15 \\ =14+60 \\ =74\text{ whe}els \end{gathered}

Hence, there are 74 wheels in the block.

If there are <em>x</em> bicycles and <em>y </em>cars, the equatioin will be,

\begin{gathered} T=n(sw)\cdot x+n(ce)\cdot15 \\ T=2x+4x \end{gathered}

Hence, the number of wheels for x bicycles and y cars is 2x+4x.

6 0
2 years ago
What is the radius of a circle with a area of 112 square inches
Ugo [173]

Answer:

\displaystyle 5,9708213214...\:in.

Step-by-step explanation:

\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{112}{\pi} \hookrightarrow \sqrt{35,650707253...} = \sqrt{r^2} \\ \\ \boxed{5,9708213214... = r}

I am joyous to assist you at any time.

5 0
2 years ago
Answer, now. please.
tatyana61 [14]

Answer:

There are three liters of milk in each of the new containers.

Step-by-step explanation:

You take the milk from the two fullest containers. Both of those have 4 1/2 liters of milk. Add them together, this makes 9 liters of milk. He then divides the milk evenly into three new containers, so divide 9 by 3. This makes 3 liters of milk per container.

5 0
3 years ago
Read 2 more answers
Margaret wants to call her friend overseas. There is a connection fee of $3 and a charge of $1.40 per minute. So the cost of the
GenaCL600 [577]

Answer:

yes she can

Step-by-step explanation:

y = 1.4(t) + 3

y = 1.4(15) + 3

y = 21 + 3

y = 24

since the total is 24, which is less than 25, she can talk for 15 minutes.

3 0
4 years ago
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