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Nata [24]
3 years ago
5

Find the total value of the investment after the time given

Mathematics
1 answer:
Annette [7]3 years ago
4 0

Answer:mm

13)30187.802

14)1837.565

15)1446.336

16)74008

17)33297.293

18)34972.978

19)13817.6

20)155.589

Step-by-step explanation:

13)18000*1.09to the power of 6

14)1500*1.07³

15)1240*1.08²

16)55000*1.16²

17)28600*1.079²

18)21000*1.136to the power of 4

19)12700*1.088

20)130*1.094²

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Limit (sin4x-4sinx)/x^3 when x close to zero
BartSMP [9]

\Large \boxed{\sf \bf \ \ \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}=-10 \ \  }

Step-by-step explanation:

Hello, please consider the following.

Using Maclaurin series expansion, we can find an equivalent of sin(x) in the neighbourhood of 0.

sin(x) \sim  \left(x-\dfrac{x^3}{3!}\right)\\\\\text{So, in the neighbourhood of 0}\\\\\begin{aligned}(sin(4x)-4sin(x)) &\sim \left( 4x-\dfrac{(4x)^3}{3!}-4x+\dfrac{4x^3}{3!}\right)\\\\&\sim \left(\dfrac{x^3*4*(1-4^2)}{3*2}\right)\\\\&\sim \left(\dfrac{x^3*2*(-15)}{3}\right)\\\\&\sim \left(x^3*2*(-5)\right)\\\\&\sim \left(x^3*(-10)\right)\\\end{aligned}

Then,

\displaystyle \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}\\\\= \lim_{x\rightarrow0} \ {\dfrac{-10*x^3}{x^3}}\\\\=-10

Thank you

4 0
4 years ago
Read 2 more answers
A baseball team has 13 players; how many possible batting orders can the coach make if there are 9 players in the batting lineup
mote1985 [20]
The answer to this question would be: <span>C. 259,459,200 
</span>To answer this question, you will need to understand how to use permutation in probability. In this question, there will be 9 people out of 13 people that make an order for batting. In this case, if same people used but the batting order is different that could be considered different ways. Then the answer would be: P(13,9)= 13! / (13-9)!= 13!/4!= <span>259,459,200 </span>
4 0
3 years ago
Read 2 more answers
Y+4=1/2(x−2) rewrite in slope intercept form<br><br>1/2 is a fraction
Trava [24]

Answer:

y= 1/2x -5

Step-by-step explanation:

First, you multiply 1/2 with x, and 1/2 with -2, which then makes the equation

y+4=1/2x -1

then, you have to subtract 4 from both sides of the equation and combine -1 and -4, which gets you -5.

Then the equation turns out to be

y=1/2x-5

8 0
4 years ago
One - fifth as a percentage?
nikitadnepr [17]

Answer:    0.2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
GUYS CAN SOMEONE PLEASE HELP ASAP?<br> THANKS SO MUCH ULL GIVE 40POINTS AND BRAINLIEST
zubka84 [21]

Answer:

1136/295 cm

Step-by-step explanation:

Corresponding lengths of similar figures are proportional.

If we let the radius of the second cylinder be x,

x/6.4 = 7.1/11.8

x = 6.4(7.1/11.8) = 1136/295 cm

8 0
2 years ago
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