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Alik [6]
3 years ago
14

7. You decide to invest $5000 in stock. Luckily, your stock is on the rise because each year your investment grows by 10%. Fill

in the table of values showing how your money is increasing over time. ​

Mathematics
1 answer:
mina [271]3 years ago
4 0

Answer:

  see attached

Step-by-step explanation:

It is convenient to let a spreadsheet compute each table value as 1.1 times the value on the previous line.

When the growth rate is 10% per year, the growth factor is 1 +10% = 1.10. This is the value that multiplies the investment each year.

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Find the given derivative by finding the first few derivatives and observing the pattern that occurs. d103 dx103 (sin(x))
aleksandrvk [35]
To find \frac{d^{103}}{dx^{103}} \left(\sin{(x)}\right), we find the first few derivatives and observe the pattern that occurs.

\frac{d}{dx} (\sin{(x)})=\cos{(x)} \\  \\  \frac{d^2}{dx^2} (\sin{(x)})= \frac{d}{dx} (\cos{(x)})=-\sin{(x)} \\  \\ \frac{d^3}{dx^3} (\sin{(x)})= -\frac{d}{dx} (\sin{(x)})=-\cos{(x)} \\  \\ \frac{d^4}{dx^4} (\sin{(x)})= -\frac{d}{dx} (\cos{(x)})=-(-\sin{(x)})=\sin{(x)} \\  \\ \frac{d^5}{dx^5} (\sin{(x)})=  \frac{d}{dx} (\sin{(x)})=\cos{(x)}

As can be seen above, it can be seen that the continuos derivative of sin (x) is a sequence which repeats after every four terms.

Thus,

\frac{d^{103}}{dx^{103}} \left(\sin{(x)}\right)= \frac{d^{4(25)+3}}{dx^{4(25)+3}} \left(\sin{(x)}\right) \\  \\ = \frac{d^3}{dx^3} \left(\sin{(x)}\right)=-\cos{(x)}

Therefore,

\frac{d^{103}}{dx^{103}} \left(\sin{(x)}\right)=-\cos{(x)}.
8 0
3 years ago
G
yan [13]

The unit cost of the fencing and the cost of a bag of mulch together with

the area and perimeter of the garden give a cost sum of $36.5.

Response:

  • The amount required to spend is <u>$36.5</u>

<h3>How does the unit cost determine the total cost?</h3>

Cost of the barrier per feet (unit cost) = $0.75

Area covered by one bag of mulch = 7 square feet

Cost of one bag of mulch (unit cost) = $5

From the given diagram, we have;

Area of the garden = 8 ft. × 2 ft. + 0.5 × 8 ft. × 3 ft. = 28 ft.²

Number \ of \ bags \ of \ mulch \ required = \dfrac{28 \, ft.^2}{7 \, ft.^2/ bag} = \mathbf{ 4 \, bags}

Length of fencing = 2 ft. + 8 ft. + 2 ft. + 5 ft. 5 ft. = 22 ft.

  • Amount to spend = 4 bags × $5 + 22 ft. × $0.75 =<u> $36.5</u>

Learn more about unit cost here:

brainly.com/question/8957825

5 0
2 years ago
Find the measures of the numbered angles.
Arte-miy333 [17]
1 = 90
2 = 65
3 = 65
4 = 25

90+25=115
180-115=65

have a merry christmas :)
3 0
3 years ago
WILL GIVE BRAINLIEST!
zvonat [6]

Answer: c

Step-by-step explanation:

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7 0
3 years ago
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What is the slope of the line that passes through (2, 12) and (4, 20) ?
loris [4]
20 - 12/ 4 - 2 = 8/2 = 4. slope is 4
3 0
3 years ago
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