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Setler79 [48]
4 years ago
10

What is identified as the first step to drawing an angle with a protractor

Mathematics
1 answer:
pychu [463]4 years ago
6 0
Draw a line to the left or right of the zero.
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Money Flow  The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the
77julia77 [94]

Answer:

Present value =  $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5%  compounded continuously

Now,

Accumulated Value of the money flow = 1000e^{0.05t}

The present value of the money flow = \int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt

= 1000\int\limits^4_0 {e^{0.015t}} \, dt

= 1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4

= 1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt

= e^{0.035\times4}\times4,122.4

= $4,742

8 0
3 years ago
F(x)=x^2+3x+2 is shifted 2 units left.the result is g(x). What is g(x)?
slamgirl [31]

Answer:

Either A or B.

Step-by-step explanation:

When shifting to the left you are adding to x.

Example: x^2 shifted to the left by 3. (x+3)^2

6 0
4 years ago
Read 2 more answers
Which of the points shown below are on the line given by the equation y = 2x? Check all that apply.
aleksklad [387]

Hey there I just saw no one answered this problem and I know this is a little late but I will answer it anyways.

Answer: The answer to this problem would be points A and B

3 0
3 years ago
Carrie is planning her birthday party at a restaurant. She cannot spend more than $75 on the party. The cost per person for the
abruzzese [7]

Answer:

carrie can invite 5 friends with some money left over

Step-by-step explanation:

12f+10<75

12f<75-10     *carry the 10 over

12f<65           *simplify

f<65/12        *carry the 12 over

f<5.42         *simplify

4 0
3 years ago
Read 2 more answers
May you guys please help me on this one
NNADVOKAT [17]

Answer:

y maximum is at 1 for both the points (4,1) and (-4,1)

Step-by-step explanation:

5 0
2 years ago
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