If three times a number decreased by 10 is 25, what is the number

A city has a populationof 370,000 people. Suppose that each year the population grows 7%. What will the population be after 8 ye

maksim [4K]

Answer:

577,220 will be the population I think

Step-by-step explanation:

370,000/100=3700=1%

3,700*7=25,900

25,900*8=207,200

370,000+207,200=577,220

3 0

3 years ago

Sold the equation. Round to the nearest hundredth. 17 · <img src="https://tex.z-dn.net/?f=1.8%5E%7B-x%2B7%7D%20%3D%205"

svetlana [45]

Answer:

Final answer is approx x=4.26.

Step-by-step explanation:

Given equation is $1.8^{-x+7} = 5$

Now we need to solve equation $1.8^{-x+7} = 5$ and round to the nearest hundredth.

$1.8^{-x+7} = 5$

$\log(1.8^{-x+7}) = \log(5)$

$(-x+7)\log(1.8) = \log(5)$

$(-x+7) = \frac{\log(5)}{\log(1.8)}$

$(-x+7) = \frac{0.698970004336}{0.255272505103}$

$-x+7 = 2.73813274192$

$-x = 2.73813274192-7$

$-x =−4.26186725808$

$x =4.26186725808$

Round to the nearest hundredth.

Hence final answer is approx x=4.26.

4 0

3 years ago

Use the figure to find the measures of the numbered angles,

Galina-37 [17]

Given:

A figure in which a transversal line t intersect the two parallel lines a and b.

To find:

The measure of the numbered angles.

Solution:

If a transversal line intersect the two parallel lines, then

1. Corresponding angles are equal.

2. Alternate interior angles are equal.

3. Alternate exterior angles are equal.

Now,

$m\angle 1+99^\circ=180^\circ$ (Linear pair)

$m\angle 1=180^\circ-99^\circ$

$m\angle 1=81^\circ$

$m\angle 2=99^\circ$ (Vertically opposite angles)

$m\angle 3=\angle 1=81^\circ$ (Vertically opposite angles)

$m\angle 4=99^\circ$ (Corresponding angles)

$m\angle 5=\angle 3=81^\circ$ (Alternate interior angles)

$m\angle 6=99^\circ$ (Alternate exterior angles)

$m\angle 7=\angle 3=81^\circ$ (Corresponding angles)

Therefore, $\angle 1=81^\circ, \angle 2=99^\circ,\angle 3=81^\circ, \angle 4=99^\circ,\angle 5=81^\circ, \angle 6=99^\circ,\angle 7=81^\circ$ .

8 0

3 years ago

Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $43.5

Inga [223]

Using the Empirical Rule, it is found that:

a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
b) Approximately 95% of the amounts are between $38.03 and $49.11.
c) Approximately 68% of the amounts fall between $40.73 and $46.27.

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The Empirical Rule states that, in a bell-shaped distribution:

Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.

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Item a:

$43.5 - 3(2.77) = 35.26$