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notsponge [240]

2 years ago

13

Which is a counterexample that shows the statement is false? If you square a number, then the answer is greater than the number.

1 answer:

Iteru [2.4K]2 years ago

7 0

Answer:

A. ( $\frac{1}{2}$ )² = $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$

Step-by-step explanation:

Answer choice (A) is the counterexample because squaring number $\frac{1}{2}$ results into number $\frac{1}{4}$ which is less than $\frac{1}{2}$ .

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how much would $150 invested at 8% interest compounded anually be worth after 13 years? A(t)=P(1+r/n)^

PIT_PIT [208]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$150\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &13
\end{cases}
\\\\\\
A=150\left(1+\frac{0.08}{1}\right)^{1\cdot 13}\implies A=150(1.08)^{13}\implies A\approx 407.9435589$

3 0

3 years ago

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu

dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

<em>The graph is missing; however, the question can still be solved</em>

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

$y = mx + b$

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

$47.84 = 1.55 * 15 + b$

$47.84 = 23.25 + b$

Subtract 23.25 from both sides

$47.84 - 23.25= 23.25 - 23.25 + b$

$24.59 = b$

$b = 24.59$

Solving for the monthly cost for 9 HCF

Here, we have that

$x = Amount\ of\ water = 9$

$m = Slope = 1.55$

$b = 24.59$

Substitute these values in the linear function; $y = mx + b$

$y = 1.55 * 9 + 24.59$

$y = 13.95 + 24.59$

$y = 38.54$

<em>Hence, the monthly cost for 9 HCF is $38.54</em>

5 0

3 years ago

Evaluate the expression when x=-2 and y=3 3x-4y

Illusion [34]

The expression re-written: 3(2) - 4(3)

First, we multiply (PEMDAS)

3 * 2 = 6

4 * 3 = 12

6 - 12 = -6

Answer: - 6

7 0

3 years ago

A jet boat is used to take canoers 200 miles upriver to their starting point. As the driver of the jet boat, Jeremy knows that i

artcher [175]

D. 50 mph

Going upstream takes longer because of the flow of the water

5 0

2 years ago

2-2=<br> Whats the answer

lutik1710 [3]

Answer:

0

Step-by-step explanation:

because the answer to this is 0

7 0

3 years ago

Read 2 more answers