How wide is rectangular table with a length of 2/3 yard and an area of 1/2 square yards?

Consider the reduction of the rectangle. A large rectangle has a length of 16.8 feet and width of 2.3 feet. A smaller rectangle

vodomira [7]

Answer:

0.6

Step-by-step explanation:

7 0

3 years ago

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Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest

hjlf

Answer:

In the 8% option , $5,000 should be invested

In the 12% option, $15,000 should be invested

Step-by-step explanation:

Let’s start with the total return.

Since the total return expected is 11%, the amount expected to be returned will be;

11/100 * 20,000 = $2,200

Now, let the amount invested at 8% interest be $x while the amount invested at 12% interest be $y

Mathematically;

x + y = 20,000 ••••••(i)

Now let’s work with the interest part;

On the 8% part, amount of interest expected is 8/100 * x

on the 12% part, amount of interest expected is 12/100 * x

8% of $x + 12% of $y = 2,200

Writing this fully mathematically, we have;

(8/100 * x) + (12/100 * y) = 2,200

8x/100 + 12y/100 = 2,200

Multiply through by 100

8x + 12y = 220,000 ••••••(ii)

Now we have two equations to solve simultaneously;

x + y = 20,000

8x + 12y = 220,000

From i, x = 20,000-y

Substitute this into ii

8(20,000-y) + 12y = 220,000

160,000-8y + 12y = 220,000

4y = 220,000 - 160,000

4y = 60,000

y = 60,000/4

y = $15,000

x = 20,000 -y

x = 20,000 - 15,000

x = $5,000

8 0

3 years ago

Which equation represents a nonlinear function?

Grace [21]

Answer:

B and C

Step-by-step explanation:

Linear functions are written in the format y=mx+b

If a function has an exponent it is nonlinear

6 0

3 years ago

Solve the equation n/10 + 3 = 11

tensa zangetsu [6.8K]

Answer:

n = 80

Hope this helps(:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve each system of equations by graphing. y = 2x y = x + 1

yawa3891 [41]

Step-by-step explanation:

The system of linear equations are , (i) y = 2x and (ii) y = x + 1 . We will find some coordinates and then we will plot its graph. The point where both Graphs will meet will be the solution of the graph .

• Finding coordinates of Equⁿ (i) :-

Step 1 : Put x = 0 :-

$\tt y = 2x = 2(0) = \red{0}$

Step 2: Put x = 1 :-

$\tt y = 2x = 2(1) = \red{2}$

$\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 0 & \tt 2 \end{array}}$

_________________________________

• Finding coordinates of equⁿ (ii) :-

Step 1 : Put x = 0 :-

$\tt y = x + 1 = 1 + 0 = \red{1}$

Step 2: Put x = 1 :-

$\tt y = x + 1 = 1 + 1 = \red{2}$

$\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 1 & \tt 2\end{array}}$

Now plot these points on the graph Taking appropriate scale . Refer to the attachment in graph . From graph the Solution is (1,2) .

8 0

3 years ago