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Ad libitum [116K]
3 years ago
14

A student invested 1300 in account that pays 4% annual compound interest. He will not make any additional deposits or withdraws.

How much will he have in the account at the end of five years?
Mathematics
1 answer:
Lynna [10]3 years ago
5 0
Year 1: $1300x0.04= $52 + $1300 = $1352
Year 2: $1352x0.04 = $54.08 + $1352 = $1406.08
Year 3: $1406.08x0.04 = $56.24 + $1406.08 = $1542.62
Year 4: $1542.62 x 0.04 = $61.70 + $1542.62= $1604.32
Year 5: $1604.32 x 0.04 = $64.17
The Student will have $1668.14 at the end of 5 years. I broke it down by year I hope this helps
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Can someone help. Please
KonstantinChe [14]

Answer:

Answer below       Please give brainliest!!  

Step-by-step explanation:

Sue Black:  8x5=40 hours    40 x $6.75 = $270


Jerry Atrix:  7.25 + 3 + 6.75 + 8 + 5 = 30 hours

                    30 x $5.15 = $154.50


Sam Ting:  7.75 x 5 = 38.75 hours

                 38.75 x $8.75 = 339.0625 = $339.06

5 0
3 years ago
Can you define f(0, 0) = c for some c that extends f(x, y) to be continuous at (0, 0)? If so, for what value of c? If not, expla
Ahat [919]

(i) Yes. Simplify f(x,y).

\displaystyle \frac{x^2 - x^2y^2 + y^2}{x^2 + y^2} = 1 - \frac{x^2y^2}{x^2 + y^2}

Now compute the limit by converting to polar coordinates.

\displaystyle \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} = \lim_{r\to0} \frac{r^4 \cos^2(\theta) \sin^2(\theta)}{r^2} = 0

This tells us

\displaystyle \lim_{(x,y)\to(0,0)} f(x,y) = 1

so we can define f(0,0)=1 to make the function continuous at the origin.

Alternatively, we have

\dfrac{x^2y^2}{x^2+y^2} \le \dfrac{x^4 + 2x^2y^2 + y^4}{x^2 + y^2} = \dfrac{(x^2+y^2)^2}{x^2+y^2} = x^2 + y^2

and

\dfrac{x^2y^2}{x^2+y^2} \ge 0 \ge -x^2 - y^2

Now,

\displaystyle \lim_{(x,y)\to(0,0)} -(x^2+y^2) = 0

\displaystyle \lim_{(x,y)\to(0,0)} (x^2+y^2) = 0

so by the squeeze theorem,

\displaystyle 0 \le \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} \le 0 \implies \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} = 0

and f(x,y) approaches 1 as we approach the origin.

(ii) No. Expand the fraction.

\displaystyle \frac{x^2 + y^3}{xy} = \frac xy + \frac{y^2}x

f(0,y) and f(x,0) are undefined, so there is no way to make f(x,y) continuous at (0, 0).

(iii) No. Similarly,

\dfrac{x^2 + y}y = \dfrac{x^2}y + 1

is undefined when y=0.

5 0
1 year ago
PLS HELP U WILL GET BRAINLIEST
Paraphin [41]

Answer:

The 1st option

Step-by-step explanation:

Line RT bisects VS at a right angle. We know that angle RTS is a right angle, so RTV is also a right angle.

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3 years ago
What are the games and human activities which use trees , or in which trees also
Hatshy [7]
Some of the human activities in which trees also participate are making tree houses, swinging on swings, hiding behind trees while playing 'Hide and Seek', having tea parties under them, making cool shades during the summer and many others. Hope it helped.:))
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2 years ago
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Leokris [45]
I would think that this would be an example of what you are looking for. By the way, you are so pretty! :) Sorry if I am wrong, I will try again if you don't think it is right. 


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3 years ago
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