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Oliga [24]
3 years ago
5

Assume that Brad makes an initial investment of $2,000. Use your formula to find the final balance of the savings account after

15 years.
Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

The formula is 2000 x (1 + Rate/100)^15

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Rachel runs 2km to her bus stop, and then rides 4.5 km to school. On average, the bus is 45 km/h faster than Rachel's average ru
Mice21 [21]

Answer:6.042km/h 6km/h approximately

Step-by-step explanation:

First off we have to know the formula relating speed, distance and time which is

Speed = distance/time

Now we are looking for Rachel's running speed

We are to find Rachel's running speed, so let's label is x

We are given that the distance Rachel runs to her bus stop is 2km

We were not given the time she uses to run to the bus stop

So let's label the time Rachel uses to run to her bus stop as y

So from the formula speed = distance/time

We have x = 2/y

Now we are told that the speed the bus uses to get to school is 45km/h faster than her speed used to run

So speed of bus = 45 + x

And the overall time for the whole journey is 25mins, changing this to hours, because the speed details given is in km/h we divide 25 by 60 which will give 0.417

Now if the total time is 0.417 hours, and we labeled the time for Rachel to run to the bus as y, so the time for the time for the bus to get to school will be 0.417 - y

We are also told the bus rides for 4.5km to school

So adding this together to relate the speed, distance and time of the bus with the formula speed = distance/time

We get 45 + x = 4.5/(0.417 - y)

So we have two equations

x = 2/y (1)

45+x = 4.5/(0.417-y) (2)

So putting (1) in (2) we have

45 + (2/y) = 4.5/(0.417-y)

Expanding further

(45y + 2)/y = 4.5(0.417-y)

Cross multiplying

(45y + 2)(0.417 - y) = 4.5y

Opening the brackets

18.765y - 45y2 + 0.834 - 2y = 4.5y

Collecting like terms

-45y2 + 18.765y -2y - 4.5y + 0.834 = 0

-45y2 + 12.265 + 0.834 = 0

Dividing all sides by -45 to make the coefficient of y2 1

y2 - 0.273y - 0.019 = 0

Now we have gotten a quadratic equation, and since it's with decimal numbers we can use either completing the square method of almighty formula

I'm using almighty formula her

For solving

ax2 + bx + c = 0

x = (-b +-root(b2-4ac)/2a

For our own equation, we are finding y

From our our quadratic equation

a = 1, b=-0.273, c = -0.834

you = (-(-0.273)+-root(-0.273-4(1)(-0.019))/2(1)

y = (273+-root(0.151))/2

y = (0.273+0.389)/2 or (0.273-0.389)/2

y = 0.331 or -0.085

So we use the positive answer which is 0.331, because time can't be negative

Then we put y = 0.331 in (1)

x = 2/y

x = 2/0.331

x = 6.042km/h

x = 6km/h approximately

4 0
3 years ago
How to make 9.37% into decimal​
Sophie [7]

Answer: divide by 100 is .0937

Step-by-step explanation:

4 0
3 years ago
Andria is conducting an experiment to determine whether a new medication is effective in reducing swelling. She gets 1,000 volun
Fittoniya [83]

Answer:

The medicine treats swelling

Step-by-step explanation:

"The control group does not receive any medication; the treatment group receives the medication. The patients in the treatment group show reduced signs of swelling. What can Andria conclude from this experiment?"

If she does not give placebo, which she should, then we can only conclude that the medication might be effective. Might, because the thought of the medicine fixing swelling might actually be what helps them.

This takes us to the next topic- placebo experiments.

Most good experiments, to elaborate, are "double blind," one group receives a placebo, and another the medication, and neither know which.

In this case, assuming that the placebo was ineffective, we can conclude that the medicine is effective in treating swelling.

7 0
3 years ago
How do you do expressions in maths
daser333 [38]
1. Know order of operations (bedmas, Canada), (pemdas, USA)
Brackets
Exponents
Division
Multiplication
Addition
Subtraction

Or

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction.

Multiplication and division are from left to right so whichever comes first is the one u solve first. Same with subtraction and addition
8 0
3 years ago
PLSSSSSSSSS I NEED TO PASSS THIS CLASSS
gavmur [86]

c.y=-7

hope u pass have an amazing day <3

7 0
3 years ago
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