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blondinia [14]
2 years ago
9

An astronaut drops a rock into a crater on the moon the distance d(t), in meters, the rock travels after T seconds can be modele

d by the function d(t)= .8t^2.what is the average speed in meters per second of the rock between five and 10 seconds after it was dropped

Mathematics
1 answer:
stepladder [879]2 years ago
3 0
  speed = distance/time
The average speed will be the change in distance divided by the change in time.
  (d(10) -d(5))/(10 -5) = (80 -20)/5 = 12 . . . . meters per second

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10 more than 2 times a number is equal to 2 times the number plus 50. What is the number?
PSYCHO15rus [73]

Answer:

y = 40 is the answer

Step-by-step explanation:

Let the number be y

10 more than 2 times a number = 10 + 2×y

equal to 2 times the number plus 50. = 2 × y + 50

10 + 2y = 2y + 50

combine the like terms

2y - 2y =50 - 10

0 = 40

the number supposes be 40 but the number is represented by 0

i think some thing is missing in your question

y supposes be 40 not 0 = 40

Hope this helps!

3 0
3 years ago
Eric took out an 80/20 mortgage to buy a house costing $175,000. The first (80%) mortgage has an interest rate of 4.75%, and the
Serhud [2]

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

The principle amount is $175000

80% of 175000 is = 0.8\times175000 = $140000

20% of 175000 is = 0.2\times175000 = $35000

Emi formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 30*12=360

Putting values in formula we get

\frac{140000\times0.00395\times(1.00395)^{360} }{(1.00395)^{360}-1 }

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 30*12=360

Putting values in formula we get

\frac{35000\times0.00627\times(1.00627)^{360} }{(1.00627)^{360}-1 }

= $245.301

Adding both the monthly payments:

729.508+245.301=974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be =

975.63\times12\times30=351226.80 dollars

5 0
3 years ago
4. Consider the following graph.
AnnZ [28]

Answer:

Step-by-step explanation:

I need help too

7 0
3 years ago
Read 2 more answers
X + (2x + 40) + (3x – 50) = 15,002
Charra [1.4K]

Answer:

2497.22...

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
There is 75 gallons of water into the pool every hour if the pool can hold 6,750 gallons how long will it take to fill the pool?
Andreyy89

Answer:

90 hours

Step-by-step explanation:

The rate at which water enters the pool is

 75 gallons

-------------------

       1 hour

This is equivalent to

         1 hour per 75 gallons, leading to:

        1 hour

  -------------------- * 6,750 gallons   =   90 hours

      75 gallons

3 0
3 years ago
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