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2 years ago

The ordered pairs in the table below represent a linear function,

Mathematics

2 answers:

Mademuasel [1]2 years ago

4 0

Answer:

7/2

Step-by-step explanation:

(3,2) (5,9): Slope -->

(9-2)/(5-3) = 7/2

DiKsa [7]2 years ago

4 0

Answer:

7/2

I hope this helps you!!!!

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Sarah's holiday wreath has 5 more than twice as many blue lights as green lights and 7 less than 5 times as many red lights as g

gregori [183]

Agvwlwowowwbw wmaalaoahq w

4 0

3 years ago

I will mark the brainliest Please answer thank youu!!!

antiseptic1488 [7]

Answer: its option "b"

Pentagon;not regular

Step-by-step explanation:

The polygon has 5 sides but all the sides are not equal

hence, it is an irregular pentagon

Hope this helped you!!

Please Mark as Brainliest!! : )

7 0

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:

a) The preset value equation is given by this formula:

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

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 $

b) The accumulated amount of money flow formula is:

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

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!

6 0

3 years ago

Write a mixed number that is equivalent to 16\3

Veseljchak [2.6K]

A mixed number that is equivalent to 16/3 is

5 1/3

3 0

3 years ago

Read 2 more answers

A dog runs 100 yards from one corner of a rectangular park to the opposite corner. If the length of the park is 28 yards, what i

kap26 [50]

9514 1404 393

Answer:

96 yards

Step-by-step explanation:

The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.

The diagonal is the hypotenuse, so we have ...

100² = 28² + w²

w = √(10000 -784) = 96

The width of the park is 96 yards.

_____

Additional comment

The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).

You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.

8 0

3 years ago