MATHEMATICS HIGH SCHOOL

In 2001, a school population was 1140 . By 2007 the population had grown to 2124. How much did the population grow between the year 2001 and 2007 ?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

we nee to subtract the number of population in 2007 with the number of population in 2001

2124-1140=1084

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Solve the following system of equations . Enter the y-coordinate of the solution . Round your answer to the nearest tenth. 5x+2y =7. -2x+6y=9

Answers

5x + 2y = 7
multiplying this equation by 2
10x + 4y = 14 ...(A)

-2x + 6y = 9
multiplying this equation by 5
-10x + 30y = 45 ... (B)

Add (A) and (B),
10x-10x + 4y +30y = 14+45

0 + 34y = 59

y = 59/34
y = 1.7

Solve each equation for the given variable a-2b=-10 for b

Answers

a-2b=-10
add 2b on both sides
a=2b-10
add 10 to both sides
a+10=2b
divide both sides by 2
a/2+10/2=a/2+5=b
b=5+a/2

What is the approximate volume of a cylinder with a diameter of 30 meters and a height of 9 meters? Use 3.14 for tt.

Answers

The diameter is double the radius - meaning that you need to divide 30 by 2 which = 15metres
The formula is V= πxr²xh

∴ V=πx15²x9
= 6361.725124

Pwease help fast this is mah last question!The area of the trapezium ABCD as shown in the figure (in square units) is
A) 222
B) 111
C) 224
D) 116

Answers

Answer:

A = 222 units^2

Step-by-step explanation:

To find the area of this trapezoid, first draw an imaginary horizontal line parallel to AD and connecting C with AB (Call this point E). Below this line we have the triangle CEB with hypotenuse 13 units and vertical side (21 - 16) units, or 5 units. Then the width of the entire figure shown can be obtainied using the Pythagorean Theorem:

(5 units)^2 + CE^2 = (13 units)^2, or 25 + CE^2 = 169. Solving this for CE, we get |CE| = 12.

The area of this trapezoid is

A = (average vertical length)(width), which here is:

(21 + 16) units

A = --------------------- * (12 units), which simplifies to:

A = (37/2 units)(12 units) = A = 37*6 units = A = 222 units^2

Carnie had an income of $29,520 last year. If the inflation rate is eight percent, what is her current purchasing power? Round to the nearest dollar.

Answers

Last year purchasing power assuming no inflation = $29,520
Current purchasing power = $29,520 - 8% = $29,520 x (1 - 0.08) = $29,520 x 0.92 = $27,158.40
Therefore current purchasing power is $27,158 to the nearest dollar.

Her current purchasing power round to the nearest dollar is $27158