Answer:
The equation ls: y = -4x - 16
Step-by-step explanation:
Given the point (-6, 8)
Given the line y = .25x - 7
Use a fraction:
y = 1/4x - 7
The slope is 1/4 (or .25)
The slope of a perpendicular line is the negative inverse or -4.
Use the point slope form and substitute:
y - y1 = m(x - x1)
y - 8 = -4(x - (-6))
y - 8 = -4x - 24
y = -4x - 16
Proof:
f(-6) = -4(-6) - 16
= 24 - 16
= 8, giving (-6, 8)
Answer:
The rate at which the account pay the deposit is 2 %
Step-by-step explanation:
Given as :
The principal amount deposited in account = $2100
The rate of interest = r % simple interest annually
The time period = 11 months = 
year
The amount received = $2138.50
Now<u>, From Simple Interest method </u>
Simple Interest = 
Or, Interest = 
Or, Interest = 
Or, Interest = 19.25 r
Now, Interest = Amount - Principal
So, 19.25 r = $2138.50 - $2100
Or, 19.25 r = $38.5
∴ r = 
I.e r = 2
So, rate of interest = r = 2 %
Hence The rate at which the account pay the deposit is 2 % Answer
One application of volume is determining the density of an object. Assume the object is made of a pure element (eg: gold). If we know the volume (v) of the object, and we know the mass (m), then we can use the formula D = m/v to figure out the density D. Knowing the volume is also handy to determine if the object can fit into a larger space or not. Another application is figuring out how much water is needed to fill up the inner space of the 3D solid (assuming it's hollow on the inside).
The surface area is handy to figure out how much material is needed to cover the outer surface. This material can be paint, paper, metal sheets, or whatever you can think of really. A good example is wrapping a present and the assumption is that there is no overlap.
1.44 per kg
take 1.3 x 2, then subtract 12.7, finally divide that by 7
