MATHEMATICS MIDDLE SCHOOL

The current price of each share of a technology company is $135. If this represents a 16.2% increase over the past year, what was the price per share a year ago?

Answers

Answer 1

Answer: The price per share one year ago was $113.13

Answer 2

Answer:

Final answer:

To find the price per share a year ago, set up the equation P + 0.162P = $135, simplify, and solve for P.

Explanation:

To find the price per share a year ago, we need to calculate the original price before the 16.2% increase. Let's call the original price P. We can set up the equation:

P + 0.162P = $135

Simplifying the equation gives us:

1.162P = $135

Dividing both sides of the equation by 1.162 gives us:

P = $116.279

Therefore, the price per share a year ago was $116.279.

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How to answer the first question

What is the simplified form of the expression 2 * [(1+14)*7]+6/0.5^3?

Answers

2*(1+ 14)7 + 6/0.5^3
= 2*15*7 + 6/ 0.125
=210 + 6000/125
= 210 + 48 = 258

$2 \cdot [(1+14)\cdot7]+6:0.5^3=2\cdot(15\cdot7)+6: ( (1)/(2))^3 =2\cdot105+6: (1)/(8) =\n \n=210+6\cdot 8=210+48=258$

Calculate the area of triangle QRS with altitude ST, given Q (0, 5), R (−5, 0), S (−3, 4), and T (−2, 3).A- 6.2 square units

B- 7 square units

C- 5.9 square units

D- 5 square units

Answers

we have that

$Q (0, 5)\nR (-5, 0)\nS (-3, 4)\nT (-2, 3)$

using a graph tool

see the attached figure

the Area of triangle QRS is equal to

$A=(1)/(2)*b*h\n A=(1)/(2)*RQ*ST$

1) Find the distance RQ

Applying the formula of distance

$d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}$

$dRQ=\sqrt{(0-5)^(2)+(-5-0)^(2)}$

$dRQ=√((25)+(25))$

$dRQ=√(50) units$

2) Find the distance ST

$dST=\sqrt{(3-4)^(2)+(-2+3)^(2)}$

$dST=√((1)+(1))$

$dST=√(2) units$

3) Find the area of triangle QRS

$A=(1)/(2)*RQ*ST\n\n A=(1)/(2)*√(50)*√(2) \n\n A=(1)/(2)*√(100) \n \n A=(10)/(2) \n \n A=5 units^(2)$

therefore

the answer is the option

D- $5$ square units

The correct answer among the choices provided is option D. The area of triangle QRS with altitude ST is 5 square units. To solve for the area, the distance formula was used. The formula was substituted with the given values, QR=√[(-5-0)²+(0-5)²].

2. What is 95% of 720?

Answers

Answer: 684

Step-by-step explanation:

95% of 720

Move decimal point two places to the right.

0.95 * 720 = 684

Answer: 684

Step-by-step explanation:

95% of 720

Move decimal point two places to the right.

0.95 * 720 = 684

What is the equation for the slope intercept form

Answers

The slope-intercept form is

y = mx + b,

where m = slope, and b = y-intercept

Now we get the y-intercept and the slope from the graph.

The y-intercept, b, is 4.

To find the slope, start at (-2, 0). Go up 4 and right 2 to point (0, 2). That is a rise of 4 and a run of 2.

m = slope = rise/run = 4/2 = 2

Equation:

y = mx + b

y = 2x + 4

Answer: y = 2x + 4

Simplify each expression

2x+5y+7x=

Answers

you add 2x and 7x to get 9x
so the answer is 9x+5y

steven put 981 pieces of a puzzle. About how many pieces did they put together? Round nearest thousand.

Answers

981 rounded to the nearest hundred is 1000

981 rounded is 1,000

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during a field trip to a local soda manufacturing plant, students watched as 12 sodas were dispensed in 1.5 minutes. at this rate, how many minutes will it take to dispense 12 dozen sodas ?