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Sveta_85 [38]
3 years ago
5

A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0

Answer:Follow the given formula.  The initial amount of money invested, P, becomes 2P (same thing as "doubles) after t years.  Since compounding is quarterly, n=4.  The annual interest rate is 12%.  That is, r=0.12.

Then we have 2P = P (1 + 0.12/4)^(4t) and need only solve for time, t.

Simplifying the above equation:  2 = (1.03)^(4t)

We must isolate 4t, and then isolate t.  To do this, take the common log of both sides of the above equation.  We get:

log 2 = (4t) log 1.03.  This gives us 4t = [log 2] / [log 1.03], or

4t =  23.4498

Dividing both sides by 4, we get     t = 5.86 (years).

Step-by-step explanation: Mark me as brainliest

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3 years ago
2.) Bob has two weekend jobs. Last weekend he made a total of $77 after
Butoxors [25]

Answer:

Step-by-step explanation:

x= money earned per hour working as a cashier.

y=money earned per hour working delivering newspapers.

We propose the following system of equations:

5x + 4y =77

6x + 3y=78

We solve the system by reduction method:

-6*(5x+4y=77) ⇒  -30x-24y=-462

5*(6x+3y=78)⇒     30x+15y=390

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

                                     -9y=-72  ⇒   y=-72 /-9=8

Now, we get the value of "x" replacing the value of "y" by "8" in any part of the equation above.

5x + 4(8)=77

5x+32=77

5x=77-32

5x=45

x=45/5=9

therefore;  

money earned per hour working as a cashier= $9/ hour

money earned per hour working delivering newspapers=$8/hour

7 0
3 years ago
Read 2 more answers
Solve1 over 25 = 5^x ^+ 4. <br> x = -7/2<br> x = −6 <br> x = 9/2 <br> x = 2
Basile [38]
The equation seems to be

   1
-------- = 5 ^ (x + 4)
  25

In that case, this is the solution, stept by step:

1) factor 25: 25 = 5^2

          1
=> ----------- = 5^(x + 4)
         5^2

2) invert 5^2

=> 5^(-2) = 5^(x+4)

3) Given that the bases are equal, the exponents also have to be equal:

=> - 2 = x + 4

3) transpose +4:

=> - 2 - 4 = x

=> x = - 6

Answer: - 6
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4 years ago
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MAVERICK [17]
The answer will be B 179.17 cuz she will have a lot of money by the time 2 years will be up to pay 24 equal payments
4 0
3 years ago
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