Answer:
29
Step-by-step explanation:
Let's set up an equation...
25%*116=x
We can first convert 25% to a fraction. We can convert any percentage into a fraction by simply putting the number over 100...
![\frac{25}{100}*116=x](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B100%7D%2A116%3Dx)
We can simplify 25/100 by dividing the fraction by 25/25. Note we can only do this because 25/25 is equivalent to 1, therefore meaning we are dividing the fraction by 1.
![\frac{1}{4}*116=x\\\frac{116}{4}=x\\x=29](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%2A116%3Dx%5C%5C%5Cfrac%7B116%7D%7B4%7D%3Dx%5C%5Cx%3D29)
Pretty sure you'd use the decay formula y = b(1-r)
so y = 20,000(1-0.25)
which equals $6328
The t and the 4 are supposed to be superscripts
Answer: 7 gallons
Step-by-step explanation:
85 + 125
210 miles from Central City to Jonesburg
30 miles per gallon so divide 210 miles by 30 miles to get gallons
210 ÷ 30
7 gallons
Hope this helps!
The answer is A! hope this helps! please brainliest!
Answer:
412.3 feet
Step-by-step explanation:
A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).
Solution:
The distance between a point and a line is the perpendicular distance. The perpendicular distance is the shortest distance between the point and the line.
Given a point (
) and a line with the equation Ax + By + C = 0, the perpendicular distance (d) is given as:
![d=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B%7CAx_1%2BBy_1%2BC%7C%7D%7B%5Csqrt%7BA%5E2%2BB%5E2%7D%20%7D)
Given the equation of the line y = 1/4 x + 8
y - 1/4 x - 8 = 0
Therefore A = -1/4, B = 1 and C = -8
The point is (-3,3), therefore ![x_1=-3,y_1=3](https://tex.z-dn.net/?f=x_1%3D-3%2Cy_1%3D3)
![d=\frac{|-1/4(-3)+(1*3)+(-8)|}{\sqrt{(-1/4)^2+1^2} }\\\\d=4.123\ unit\\\\but\ 1\ unit=100\ feet\\\\ d=4.123\ unit*1\ feet=412.3\ feet](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B%7C-1%2F4%28-3%29%2B%281%2A3%29%2B%28-8%29%7C%7D%7B%5Csqrt%7B%28-1%2F4%29%5E2%2B1%5E2%7D%20%7D%5C%5C%5C%5Cd%3D4.123%5C%20unit%5C%5C%5C%5Cbut%5C%201%5C%20unit%3D100%5C%20feet%5C%5C%5C%5C%20d%3D4.123%5C%20unit%2A1%5C%20feet%3D412.3%5C%20feet)