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2 years ago

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Rectangle ABCD has vertices at coordinates (0,8), (4,12), (12,4), and D, respectively. Which of the following correctly identifi

es the rectangle's fourth vertex?

1 answer:

antoniya [11.8K]2 years ago

3 0

Answer:

Step-by-step explanation:

the last coordinate would be8,0 because i did it on graph paper and checked it a bunch of time even with my math teacher

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Which of the following Statements are true?

choli [55]

Answer: Only Statement 1 is True.

Step-by-step explanation:

A box is essentially a rectangular prism, which has 8 corners. Tubes, pipes, and cans are cylinders because the corss-section of them are circular and the connection between the bases are parallel.

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2 years ago

The SKELD ship has 186 crewmates divided as evenly as possible into 8 teams. How many crewmates are in each team? Show your work

galben [10]

Answer:

There is 23 crewmates in a group i got this by dividing 186x8 but this number is uneven so i rounded :)

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2 years ago

12.03,1.2,12.3,1.203,12.301 order least to greatest

m_a_m_a [10]

Answer:

1,2, 1,203, 12,03, 12,3, 12,301

Step-by-step explanation:

1,2 → 1,200

1,203

12,3 → 12,300

12,301

I am joyous to assist you anytime.

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3 years ago

The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

$P=\int^{T}_{0}f(t)e^{-rt}dt$

where:

T is the period in years (T = 10 years)
r is the annual interest rate (r=0.08)

So we have:

$P=\int^{T}_{0}(0.01t+100)e^{-rt}dt$

Now we just need to solve this integral.

$P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt$

$P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}$

$P=0.30+688.34=688.64 $$

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

$A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt$

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

$A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P$

$A=e^{0.08\cdot 10}688.64=1532.60 $$

The accumulated amount is 1532.60 $

Have a nice day!

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2 years ago

Here is a graph of the relationship between the number of quarters and the number of dimes when there are a total of 17 coins.

kirill115 [55]

Point a has more what she said

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2 years ago