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-Dominant- [34]
2 years ago
10

a savings account balance is compounded continuously. If the interest rate is 3.1% per year and the current balance is $1077.00,

in how many years will the balance reach $1486.73
Mathematics
1 answer:
enot [183]2 years ago
4 0

Answer:

10.55 years

Step-by-step explanation:

In order to calculate the number of years, you have to isolate N from the formula:

FV=PV*(1+I)^N

FV= Future value

PV= Present value

i= Interest rate

N= number of periods

FV/PV=(1+i)^N

ln(FV/PV)=Nln(1+i)

N=ln(FV/PV)/ln(1+i)

Now you have to replace the formula to find the answer:

FV= 1486.73

PV= 1077

i= 3.1%

N= ln(1486.73/1077)/ln(1+0.031)

N= ln(1.38)/ln(1.031)

N= 10.55

The answer is that it will take 10.55 years for the balance to reach $1486.73.

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7. Jane is at the amusement park. The admission is $25, and the rides are $2 each. If Jane
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Answer:

Jane got on 16 rides

Step-by-step explanation:

r= numbers of rides

25 + 2r

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-25           -25

_____________

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What is the length of BC? Round to the nearest tenth.
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9514 1404 393

Answer:

  (c) 14.5 cm

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(65°) = BC/BA

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_____

<em>Additional comment</em>

As is often the case, a simple estimate is all that is needed to identify the correct answer choice.

You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.

4 0
3 years ago
the sum of the digits of two digit number is 10. when 18 is added to the number is digit reversed find and number​
Contact [7]

Answer:

<em>The number is 46</em>

Step-by-step explanation:

<u>Equations</u>

Suppose:

a = One digit of the number

b = Tens digit of the number

The sum of the digits is 10:

a + b = 10

The number expressed as two-digits quantity is ab, and its value is

10a+b

When we add 18 to that number, we have:

10a+b+18

And that is represented as the number reversed:

10a+b+18=10b+a

Simplifying:

9a+18=9b

Dividing by 9:

a + 2 = b

Substituting in the first equation:

a + a + 2 = 10

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a = 4

b = a + 2 = 6

Thus the number is 46

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2 years ago
What is 1,225 written in scientific notation
Anon25 [30]

THE ANSWER IS 1.25 X 10^3

5 0
3 years ago
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