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2 years ago

Santiago receives $179

Mathematics

1 answer:

Mashutka [201]2 years ago

3 0

9514 1404 393

Answer:

$400 at 2%
$900 at 3%
$3600 at 4%

Step-by-step explanation:

Let x represent the amount invested at 3%. Then (x -500) is the amount invested at 2%, and 4x is the amount invested at 4%. The total interest income is ...

0.02(x -500) + 0.03x + 0.04(4x) = 179

0.21x -10 = 179 . . . . . simplify

0.21x = 189 . . . . . . . . add 10

x = 900 . . . . . . . . . . . divide by 0.21

x -500 = 400

4x = 3600

$400 is invested at 2%; $900 is invested at 3%, $3600 is invested at 4%.

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Graph the equation using the point and the slope.

Alekssandra [29.7K]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have the equation of the line in point slope form

$y-5=\frac{1}{5}(x-5)$

where

the point is (5,5)

the slope is m=1/5

Remember that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

To graph the line

1. Plot the point (5,5).

2. From that point, count right 5 units and up 1 unit and plot a second point.

3. Draw a line through the two points

The new point is (5+5,5+1) ----> (10,6)

Plot the points (5,5) and (10,6) and draw a line through the two points

The graph in the attached figure

3 0

2 years ago

Help ASAP please!!!!!!!

Bumek [7]

I think the answer will be (-4,3)

4 0

3 years ago

Aahil, James and merav share £90 in the ratio 1:3:5 how much does merav get

Dafna1 [17]

Given: £90 is divided among Aahil, James and Merav in the ratio 1:3:5.

To find: How much Merav gets.

Answer:

Let's assume the shares of each to be 'x'.

This implies that 1x + 3x + 5x = 90.

9x = 90

x = 90/9

x = 10

Substituting this value of x in the ratio,

1 × 10 = 10 [Aahil's share]
3 × 10 = 30 [James' share]
5 × 10 = 50 [Merav's share]

Therefore, Merav gets £50.

Hope it helps. :)

8 0

2 years ago

Helppp meeee pleaseeeee!!!A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the s

Dvinal [7]

Answer:

Answer: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

Let n equal the number, and let x equal the smaller number. Let's put this into equation form to make everything easier to understand.

x < n

n = 2x + 3

n = 2x + 1

Note how n equals two different things. In other words, how can n equal 2x + 3, but also equal 2x + 1? The equations have different y-intercepts but the same slope, meaning there are no solutions, or points where the lines would intercept. The only answer that highlights this is the third option.

To further clear things up, let's go through the other answers to make sure we're correct.

Answer 1: Two situations do not describe the exact same line; all parts of the question are unique.

Answer 2: The equations do not have different slopes, so this reasoning is invalid.

Answer 4: The situations describe two equations with the same slope but different y-intercept, not the other way around. In equation form, 2 = 2, but 3 ≠ 1.

Therefore, the only correct answer is option 3.

7 0

2 years ago

Jacob takes 3 4 h to fill one shelf at the supermarket. Henry can fill the shelves in half Jacob’s time. There are 15 shelves. H

VMariaS [17]

Answer:

3 3/4 hours

Step-by-step explanation:

If Henry can fill 2 shelves in the time it takes Jacob to fill one, working together they can fill 3 shelves in 3/4 hour, an average rate of 1/4 hour per shelf. It will take them 15 times 1/4 hour to fill 15 shelves.

Henry and Jacob working together can fill 15 shelves in 3 3/4 hours.

4 0

2 years ago

Santiago receives ​$179

Santiago receives $179