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Alex777 [14]
3 years ago
11

Find how long it takes for $500 to double if it is invested at 6% interest compounded monthly

Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

11.581 years

Step-by-step explanation:

Formula:

AV=PV(1+\frac{i}{n})^{nt}\\1000=500(1+\frac{.06}{12})^{12t}\\2=1.005^{12t}\\log_{1.005}2=12t\\138.9757=12t\\t=11.5813

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1. The sum of first n terms of an arithmetic sequence is 3n²+4n
valentina_108 [34]

Answer:

<h3>           a.  a₁=7,     b.  a_n=7n+1,    c.  a₂₀=141</h3>

Step-by-step explanation:

a.

 a_1=S_1=3\cdot1^2+4\cdot1=3+4=7

b.

   a_1+a_2=S_2\\\\a_1+a_1+d=3\cdot2^2+4\cdot2\\\\7+7+d=3\cdot4+8\\\\14+d=12+8\\\\d=6\\\\\\a_n=a_1+d(n-1)\\\\a_n=7+6(n-1)\\\\a_n=7+6n-6\\\\\underline{a_n=7n+1}

c.

 a_{20}=7\cdot20+1=141

5 0
3 years ago
If....................
kobusy [5.1K]

Answer:

C  - 22

Step-by-step explanation:

Put in '3 ' for 'x' in both of the equations....then multiply the results together

f(3)  = 3 (3)^2 - 5 = 22

g(3) =  -1

22 * -1  = -22

5 0
1 year ago
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In a library where the ratio of men to women is 1 to 1, _____ of the total members are men
kolbaska11 [484]
Wouldn't that be half, or 50%?

5 0
3 years ago
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Factor p 2 - 8p - 20.
Helga [31]
Answer is -2(3p+10)

hope this helps :)
8 0
3 years ago
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2x-3y=2 for graphing systems of linear equations
Galina-37 [17]

Answer:

-2/3 is the y intercept

Step-by-step explanation:

So to find the y-intercept you must first put this in Slope-intercept form, I believe the form it is in right now is called standard form.

To get it into slope intercept form, we have to isolate y:

subtract 2x from both sides:

-3y = -2x + 2

Divide both sides by -3:

y = (2/3)x - 2/3

Now that we have slope-intercept form, we can find the y-intercept. We know slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. In this case the y-intercept is -2/3.

Hope this helps!

7 0
3 years ago
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