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3 years ago

7

In Rumpletick, 1/2 of 1% of the town's 100,000 families have incomes over 80,000 per year. How many families with incomes over 8

0,000 per year are in Rumpletick?

1 answer:

viktelen [127]3 years ago

3 0

Answer:

$\frac{1}{2} * \frac{1}{100} *80,000$

"400"

Step-by-step explanation:

You might be interested in

Convert to exponential form: log 1000=3

Luden [163]

$\log_a b=c \hbox{ if } a^c=b \\ \\
\log 1000=3 \\
\log_{10} 1000=3 \\
\Downarrow \\
\boxed{10^3=1000}
$

8 0

3 years ago

Plz help me with this

AnnZ [28]

Answer: $\bold{A)\quad y=5sin\bigg(\dfrac{6}{5}x-\pi\bigg)-4}$

<u>Step-by-step explanation:</u>

The general form of a sin/cos function is: y = A sin/cos (Bx-C) + D where the period (P) = 2π ÷ B

In the given function, $B=\dfrac{6}{5}$ → $P=2\pi \cdot \dfrac{5}{6}=\dfrac{10\pi}{3}$

Half of that period is: $\dfrac{1}{2}\cdot \dfrac{10\pi}{3}=\large\boxed{\dfrac{5\pi}{3}}$

Calculate the period for each of the options to find a match:

$A)\quad B=\dfrac{6}{5}:\quad 2\pi \div \dfrac{6}{5}=2\pi \cdot \dfrac{5}{6}=\dfrac{5\pi}{3}\quad \leftarrow\text{THIS WORKS!}\\\\\\B)\quad B=\dfrac{6}{10}:\quad 2\pi \div \dfrac{6}{10}=2\pi \cdot \dfrac{10}{6}=\dfrac{10\pi}{3}\\\\\\C)\quad B=\dfrac{5}{6}:\quad 2\pi \div \dfrac{5}{6}=2\pi \cdot \dfrac{6}{5}=\dfrac{12\pi}{5}\\\\\\D)\quad B=\dfrac{3}{10}:\quad 2\pi \div \dfrac{3}{10}=2\pi \cdot \dfrac{10}{3}=\dfrac{20\pi}{3}$

7 0

3 years ago

Steve's sister is 25 years old. her age is 5 years more than 4 times his age.

Virty [35]

Answer:

Steve is 5

Step-by-step explanation:

Steves sister is 25, she is 5 years more than 4 times steve is.

5 * 4 = 20 and the sister is 5 years older so,

Steve is 5

6 0

3 years ago

The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8?

dolphi86 [110]

Answer:

y= -4

Step-by-step explanation:

x+y=42. We know that x plus y equals 42.

x=2y . We also know that x equals twice y.

2y+y=42. Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.

y=14. 3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)

x+14=42. Now that we know what y equals, let's replace y with 14 from the original equation.

x=28. Now that we know that x=28 and y=14, we know that y is always x/2.

When x=-8, we divide it by 2 and get, -4.

Not absolutely positive as this was all mental math, but hope this helps! :)

4 0

4 years ago

Which of the following points lies on the graph of the inverse of f(x) = 6^(x + 1)?

svetlana [45]

F ( x ) = 6^(x+1)
y = 6^(x+1)
$x+1=log _{6}y \\ x = log _{6}y-1$
The inverse is:
$y = log _{6}x$
And when you plug in the values: x = 1, y = - 1:
- 1 = log 1 - 1
- 1 = 0 - 1
- 1 = - 1
so the answer is:
( 1, - 1 )

8 0

3 years ago