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3 years ago

7

Arnold invests some money into an account that makes 4% simple interest. After 1 year, he has $2600. How much money did he inves

t?

1 answer:

IrinaVladis [17]3 years ago

3 0

Arnold invested 650 of his money after 1year

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Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair

lubasha [3.4K]

Answer:

Additional <em>26</em> pendants are to be sold to make profit.

Step-by-step explanation:

Rent of booth at the craft fair = $200

Cost of material for each pendant = $7.80

Let Kelsey makes $x$ number of pendants.

To calculate the total spending, we have to add the rent of booth at the craft fair and cost of material for $x$ number of pendants.

Cost of material for $x$ number of pendants = Cost of material for each pendant multiplied by number of pendants

Cost of material for $x$ number of pendants = $7.80 $\times$ $x$

So, total cost = $200 + $7.80 $\times$ $x$

Now, each pendant is sold at $13.50

So, total money made by selling $x$ pendants = $13.50 $\times$ $x$

For making profit, total money made must be greater than the total cost.

Therefore, the inequality becomes:

$\bold{13.50 \times x > 200+7.80\times x }$

Let us solve the inequality now:

$13.50x - 7.80x>200\\\Rightarrow 5.7x > 200\\\Rightarrow \bold{x > 35.08}$

So, at least 36 pendants are to be sold to make a profit.

Additional 36-10 = <em>26</em> pendants are to be sold to make profit.

5 0

4 years ago

I need help with Q9 c, I’ve done a and b if it helps, b=325 but I am just stuck on question 9C, I know the answer is 500N (as it

777dan777 [17]

Step-by-step explanation:

I know you've already done parts a and b, but I'll show the work for that before I do c.

Draw two free body diagrams, one for the car and one for the trailer. The car pulls the trailer forward with a tension force T, so the trailer pulls backward on the car with an equal and opposite force T.

The car also has a 1200 N forward force from the engine, and a 200 N backwards force from resistance.

The trailer has a backwards resistance force of 100 N.

Sum of forces on the car:

∑F = ma

1200 − 200 − T = 900a

1000 − T = 900a

Sum of forces on the trailer:

∑F = ma

T − 100 = 300a

To solve the system of equations, first add the equations together.

1000 − 100 = 1200a

900 = 1200a

a = 0.75 m/s²

Plug back into either equation to find the tension force:

T = 325 N

Now for part c, draw new free body diagrams for the car and trailer. This time, the car is pushing back on the trailer to slow it down. So the trailer is pushing forward on the car with an equal and opposite force. The magnitude of that tension force is given to be 100 N.

The car also has a backwards 200 N force from resistance, and a backwards brake force F.

The trailer has a backwards 100 N force from resistance.

Sum of forces on the car:

∑F = ma

100 − 200 − F = 900a

-100 − F = 900a

Sum of forces on the trailer:

∑F = ma

-100 − 100 = 300a

-200 = 300a

a = -⅔

Plugging into the first equation:

-100 − F = 900 (-⅔)

-100 − F = -600

F = 500 N

4 0

3 years ago

What is the equation of the line that passes through the point (6,4) and has a slope of -2/3

Aleksandr [31]

Answer:

using the given points substitute it into the equation y=mx+c

therefore

y=4

m=-2/3

X=6

c=?

so we should c=intercept

Step-by-step explanation:

y=mx+c

4=-2/3(6)+c

4=-4+c

c=4+4=8

therefore equation of the graph is y=-2/3X+8

4 0

3 years ago

HELP ASAP BRAINLIEST AND THANKS

Sergio [31]

Answer:

x y

7 4

2 3

7 5

Step-by-step explanation:

it cant be a function if it has two of the same domains.

3 0

3 years ago

Read 2 more answers

The Murphy family bought two rectangular dog beds for their pets fluffys bed was 3 feet by 1 9/12 Pete's bed was 4 feet by 2 4/1

mario62 [17]

Answer:

4 1/12 sq. ft

Step-by-step explanation:

To know the amount of area that Pete’s bed have more than Fluffy’s bed, we simply calculate the area of both beds then subtract the smaller from the larger.

The area of Fluff’s bed would be 3 * 21/12 = 63/12 Sq ft

The area of Pete’s bed would be 4 * 28/12 = 112/12 sq ft

The difference in area is thus: 112/12 - 63/12 = 49/12 = 4 1/12 sq. ft

5 0

4 years ago