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Akimi4 [234]
3 years ago
10

Jillian put $1200 into an account earning 6.5% interest compounded continuously. How long until she doubles her money?

Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0

Answer:

A= 2400\\P= 1200\\r = 6.5\% = 0.065\\n = 365 \\t = t\\A = P(1 + \frac{r}{n})^{nt}\\\\2400 = 1200(1 +\frac{0.065}{365}  )^{365t}\\\\\frac{2400}{1200} = (1.00017808219)^{365t}\\\\(2)^{\frac{1}{365} } = (1.00017808219)^t\\\\\\Taking \ log \ on \ both \ sides\\log(1.00190083768) = t \times log(1.00017808219)\\\\t=  \frac{log(1.00190083768)}{log(1.00017808219)} = 10.66\\\\t = 10.7years

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earnstyle [38]

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5 0
3 years ago
Whats the answer for this
drek231 [11]

Answer:

50/18 or 2.77

Step-by-step explanation:

So first u have to make the 3 1/3 and 1 1/5 into improper fractions.

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7 0
3 years ago
Read 2 more answers
Your work<br> START<br> f(x)=2x² – 12x-5
MrMuchimi

Answer:

range = (− 23 ,  ∞ )

domain = ( − ∞ ,  ∞ )

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5 0
3 years ago
What is the solution for: 10n^2+n^2+16
ivanzaharov [21]

The solution is n= <u>+</u> 4i/√11

Step-by-step explanation:

step 1: 10n^2+n^2+16=0

step 2: 11n^2+16=0

step 3: 11n^2= -16

step 4: n^2= -16/11

step 5: taking square root on both sides,

            n= √(-16)/√11 (square root of a negative number is a <u>complex term</u> 'i')

            n= <u>+</u> 4i/√11

3 0
3 years ago
The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the
jolli1 [7]
If you've started pre-calculus, then you know that the derivative of  h(t)
is zero where h(t)  is maximum.

The derivative is            h'(t) = -32 t  +  96 .

At the maximum ...        h'(t) = 0

                                       32 t = 96 sec

                                           t  =  3 sec . 
___________________________________________

If you haven't had any calculus yet, then you don't know how to
take a derivative, and you don't know what it's good for anyway.

In that case, the question GIVES you the maximum height.
Just write it in place of  h(t), then solve the quadratic equation
and find out what  't'  must be at that height.

                                       150 ft = -16 t²  +  96  t  +  6 

Subtract 150ft from each side:    -16t²  +  96t  -  144  =  0 .

Before you attack that, you can divide each side by  -16,
making it a lot easier to handle:

                                                         t²  -  6t  +  9  =  0

I'm sure you can run with that equation now and solve it.    
The solution is the time after launch when the object reaches 150 ft.
It's 3 seconds.  
(Funny how the two widely different methods lead to the same answer.)

The answer is from AL2006

6 0
3 years ago
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