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kompoz [17]
3 years ago
13

James knows that he eventually wants to buy a motorcycle, and the model he has in mind costs $5,000. He has found a bank that wi

ll let him open a saving account with 7% interest that is compounded monthly. If he wants to buy his motorcycle in 5 years (he's still nervous), how much money should he invest in the account now
Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Answer:

3527

Step-by-step explanation:

Using our compound interest formula we can plug in all of our given values and solve for P.

A(t)=P(1+r/n)^nt

5,000=P(1+0.07/12)^12(5)

P=5000/(1+0.07/12)^60

P≈$3,527

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A girl ran from her home to a store at the rate of 6 mph, and she walked back home at the rate of 4 mph. if it took 15 minutes f
viva [34]

Home is 0.6 miles away from the store

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Given:-

Total time taken by girl to complete the trip = 15 minutes = \frac{1}{4} hours

Speed while riding going = 6 miles per hour

Speed while coming back = 4 miles per hour

Total time taken by girl  =

Time taken while going +   Time taken while coming back      - (1)

  Let x be distance from home to store

       \frac{x}{6} =  Time taken while going

\frac{x}{4} = Time taken while coming back

    Substituting in (1) we get

      \frac{1}{4} =  \frac{x}{6} + \frac{x}{4}

      \frac{1}{4} =  \frac{2x + 3x}{12}

       \frac{1}{4} =  \frac{5x}{12}

      x= \frac{12}{20}

    x = 0.6 miles

Thus home is 0.6 miles away from the store

Learn more about time related  here :

brainly.com/question/12759408

#SPJ4

6 0
2 years ago
What is the 57th term of the arithmetic sequence : 11,8,5,2
andriy [413]
I think its this <span> 14 - 3*57 = 14 - 171 = -157 </span>
4 0
3 years ago
Can someone help me find the midpoint?
ioda

Answer:

(6,-2.5)

Step-by-step explanation:

The formula for the midpoint between two points is:

(\frac{x_{1} + x_{2}}{2},\frac{y_{1}+y_{2}}{2})

Now we substitute

We have than (9, -1) is (x_{1}, y_{1}) and (3, - 4) is (x_{2}, y_{2})

So:

(\frac{(9) + (3)}{2},\frac{(-1)+(-4)}{2})\\\\(-1) + (-4) = -5\\9 + 3 = 12\\

So, we have:

(\frac{12}{2}, \frac{-5}{2})\\\\12 / 2 = 6\\-5 / 2 = -2.5\\\\(6, -2.5)

<h2>(6,-2.5)</h2><h2 />

I can do a graphic explanation if you want.

6 0
3 years ago
What is the solution for m
BARSIC [14]
C is the correct answer for m
7 0
3 years ago
Dr. Yancy conducted a correlation study in which she found that the more time children in her study read at home the better they
anzhelika [568]

Answer:

A. Positive

Step-by-step explanation:

They ask us about the relationship between reading and grades.

First you have to go to the first part of the statement that says:

"Dr. Yancy conducted a correlation study in which she found that the more time children in her study read at home the better they performed in school"

In this case they tell us that there is a positive correlation, that the more you read the better your performance in school is.

Performance is your grades, and home study can be reading, so the score is positive in the second half, too.

3 0
3 years ago
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