place the numbers in order from least to greatest. $sqrt{56}$, 58%, 7.5, $-\frac{18}{3}$\ncomplete the…

Explanation:

Step1: Evaluate $\sqrt{56}$

$\sqrt{56}\approx7.48$

Step2: Convert 58% to decimal

$58% = 0.58$

Step3: Analyze $-\frac{18}{3}$

$-\frac{18}{3}=- 6$

Step4: Compare values

$-6<0.58<7.48<7.5$

Step5: Fill in the first - table ($y = 2x$)

When $x=-2$, $y=2\times(-2)=-4$; when $x = - 1$, $y=2\times(-1)=-2$; when $x = 0$, $y=2\times0 = 0$; when $x = 1$, $y=2\times1=2$; when $x = 2$, $y=2\times2 = 4$

Step6: Fill in the second - table ($y = 2x+3$)

When $x=-2$, $y=2\times(-2)+3=-4 + 3=-1$; when $x=-1$, $y=2\times(-1)+3=-2 + 3=1$; when $x = 0$, $y=2\times0+3=3$; when $x = 1$, $y=2\times1+3=2 + 3=5$; when $x = 2$, $y=2\times2+3=4 + 3=7$

Step7: Calculate the lateral surface area of the cylinder

The formula for the lateral surface area of a cylinder is $A = 2\pi rh$. Here, $r=\frac{17.4}{2}=8.7$ ft and $h = 2.9$ ft. So $A=2\pi\times8.7\times2.9\approx2\times3.14\times8.7\times2.9=159.5772\approx159.58$ square - feet

Step8: Use the compound - interest formula

The compound - interest formula is $A=P(1 + r)^t$, where $P = 1200$, $r=0.025$, and $t = 5$. First, $A=1200\times(1 + 0.025)^5=1200\times1.025^5\approx1200\times1.131408214=1357.69$. The interest $I=A - P=1357.69-1200 = 157.69$

Answer:

1. Order of numbers: $-\frac{18}{3},58%,\sqrt{56},7.5$
2. First table ($y = 2x$): | $x$ | $y$ | |----|----| | -2 | -4 | | -1 | -2 | | 0 | 0 | | 1 | 2 | | 2 | 4 |
3. Second table ($y = 2x + 3$): | $x$ | $y$ | |----|----| | -2 | -1 | | -1 | 1 | | 0 | 3 | | 1 | 5 | | 2 | 7 |
4. Lateral surface area of cylinder: Approximately $159.58$ square - feet
5. Interest earned: $$157.69$