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3 years ago

Ivan draws PQR on the coordinate plane.

Mathematics

1 answer:

Ivahew [28]3 years ago

8 0

Answer:

Perimeter of PQR = 37 units (Approx.)

Step-by-step explanation:

Using graph;

Coordinate of P = (-2 , -4)

Coordinate of Q = (16 , -4)

Coordinate of R = (7 , -7)

Find:

Perimeter of PQR

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between PQ = √(-2 - 16)² + (-4 - 4)²

Distance between PQ = 18 unit

Distance between QR = √(16 - 7)² + (-4 + 7)²

Distance between QR = √81 + 9

Distance between QR = 9.48 unit (Approx.)

Distance between RP = √(7 + 2)² + (-7 + 4)²

Distance between RP = √81 + 9

Distance between RP = 9.48 unit (Approx.)

Perimeter of PQR = PQ + QR + RP

Perimeter of PQR = 18 + 9.48 + 9.48

Perimeter of PQR = 36.96

Perimeter of PQR = 37 units (Approx.)

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Tasha invests $5000 annually at 6% and an additional $5000 annually at 8%. Thomas invests $10000 annually at 7%. Which statement

REY [17]

Answer:

Answer:

Option B is correct.

Step-by-step explanation:

We will compare the interest earned by both.

Tasha: p = $5000

r = 6% or 0.06

n = 1

So, Amount after a year will be = = $5300

And amount the next year with p = 5300: 5300*1.06= $5618

Additional $5000 at 8%

Here the amount will be = =5400

Next year amount with p = 5400 : 5400*1.08 = $ 5832

Amount in total Tasha will have in 2 years = 5618+5832 = 11450

Thomas:

p = 10000

r = 7% or 0.07

n = 1

After a year the amount will be = =$10700

Amount Next year with p = 10700 : 10700*1.07 = $11449

*****Just after 1 year we can see that Tasha's total amount is high than Thomas. This means at the same consistent rate, each year Tasha's amount will always be higher than Thomas.

So, option B is correct. Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

6 0

3 years ago

Read 2 more answers

Which of the points do not lie on X-axis P(0,3), Q(1,0), R(0, -1), S(-5, 0), T(1, 2) do not lie on X-axis

Anna71 [15]

Answer:

c) P, R, and T

Step-by-step explanation:

the y coordinate has to be a zero in order for the point to lie on the X-axis

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3 years ago

3 + 1 < 10 solve, then graph the solution

ryzh [129]

3 + 1 < 10

There's no question there, and nothing to solve. That's a simple statement
which, after simplifying it slightly, says " 4 < 10 ".

A statement with which, I'm sure, we can all agree.

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4 years ago

C + d = 60<br> 2.5c + 1.75d = 123.75

likoan [24]

Answer:

(c, d) = (25, 35)

Step-by-step explanation:

Multiply the first equation by 2.5 and subtract the second one:

2.5(c +d) -(2.5c +1.75d) = 2.5(60) -(123.75)

0.75d = 26.25 . . . . . . . . . simplify

26.25/0.75 = d = 35 . . . . divide by the coefficient of d

60 -d = c = 25 . . . . . . . . . use the first equation to find c

(c, d) = (25, 35)

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3 years ago

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