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4 years ago

What addition does the model below represent?

Mathematics

1 answer:

telo118 [61]4 years ago

7 0

Answer:

It's the 5+(-3)

Step-by-step explanation:

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Paul has $20000 to invest. He can invest part of his money at 6% and the rest at 4%. How much does paul have to invest at each r

jek_recluse [69]

Answer: he should invest $15000 at 6% and $5000 at 4%

Step-by-step explanation:

Let x represent the part of his money that he should invest at 6%.

Let y represent the part of his money that he should invest at 4%.

Paul has $20000 to invest. He can invest part of his money at 6% and the rest at 4%. It means that

x + y = 20000

The interest that he would earn on the amount invested at 6% after 1 year is

6/100 × x = 0.06x

The interest that he would earn on the amount invested at 4% after 1 year is

4/100 × y = 0.04y

if he wants to get a total of $1100 interest on his $20000, it means that

0.06x + 0.04y = 1100- - - - - - - - - 1

Substituting x = 20000 - y into equation 1, it becomes

0.06(20000 - y) + 0.04y = 1100

1200 - 0.06y + 0.04y = 1100

- 0.06y + 0.04y = 1100 - 1200

- 0.02y = - 100

y = - 100/-0.02

y = 5000

x = 20000 - y = 20000 - 5000

x = 15000

4 0

3 years ago

The ratio of the areas of two similar polygons is 225:36. What is the ratio of their corresponding sides?

Vladimir [108]

The ratio of the areas:
225 : 36 = 15² : 6²
The ratio of their corresponding sides:
15 : 6 = 5 : 2

3 0

4 years ago

There are 15 pens and 10 pencils in a box. One object is selected at random and then replaced. Another is the selected. Find the

almond37 [142]

Step-by-step explanation:

1. P(pen then pencil) = 15/25 × 10/25 = 3/5 × 2/5 = 6/25

2. P(pen then pencil) + P(pencil then pen) = 6/25 + 6/25 = 12/25

3. P(pencil then pencil) = 10/25 × 10/25 = 2/5 × 2/5 = 4/25

4. P(at least 1 pen) = 1 − P(no pen) = 1 − 4/25 = 21/25

6 0

4 years ago

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

Bond [772]

Answer:

The solution to the equation system given is:

<u>x = 2</u>
<u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

2x + 3y = 1
2(2) + 3(-1)= 1
4 - 3 = 1
1 = 1

And, with the second equation:

3x + y = 5
3(2) + (-1) = 5
6 - 1 = 5
5 = 5

4 0

3 years ago

(Only need 17) plz help geometry will mark brainliest plz show work

Gre4nikov [31]

Answer:

143

Step-by-step explanation:

x + 17 = 37

180 - 37 = 143

8 0

3 years ago

Read 2 more answers