Answer:-3
Step-by-step explanation:do the distributive property. So let's simplify it more: -8g+6=30. Minus the positive 6 to make it a zero then minus the 30 to make it a 24. -8g=24 is what's left. Divide both sides by negative 8: g= -3
Answer:
112,547.095 million
Step-by-step explanation:
Data provided in the question
Population of a city in 2005 = 18,000
In the year 2010, the city population = 45,000
Now to find out the projected population for 2015 we use the exponential model
![P = P(0)\times e^{rt}](https://tex.z-dn.net/?f=P%20%3D%20P%280%29%5Ctimes%20e%5E%7Brt%7D)
where
P(0) = Initial population
r = growth rate
t = time
e = natural log
So,
![45,000 = 18,000 \times e^{5r}](https://tex.z-dn.net/?f=45%2C000%20%3D%2018%2C000%20%5Ctimes%20e%5E%7B5r%7D)
So
![e^{5r} = \frac{45}{18}](https://tex.z-dn.net/?f=e%5E%7B5r%7D%20%3D%20%5Cfrac%7B45%7D%7B18%7D)
![5r = ln \frac{(45)}{(18)}](https://tex.z-dn.net/?f=5r%20%3D%20ln%20%5Cfrac%7B%2845%29%7D%7B%2818%29%7D)
r ≈ 0.1833
Now
![P = 18,000e^{10\times0.1833}](https://tex.z-dn.net/?f=P%20%3D%2018%2C000e%5E%7B10%5Ctimes0.1833%7D)
= 112,547.095 million
6 chalk boards x 3 grades = 18 chalk boards
18 chalk boards x $98 per chalk board = $1,764
Answer:
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Step-by-step explanation:
Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.
Hypotenuse = h
Altitude = l
Base = b
l²+b²=h²
Here 6²=36
9²=81
12²=144
15²=225
From the above it is clear that
81+144=225
⇒9²+12²=15²
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
82 square yards. Subtract $50 from 1485= $1435/17.50= 82 yards