Answer:
700 Dollars
Step-by-step explanation:
The expression for solving this is I = prt
So lets start with P, that is our principal or amount of money we start with, and we want to multiply it by our rate, or r , which is 3.5, so we would do 5000 x 0.035 to get 175, then we multiply that by our time or t, which is 4 years, so 175 x 4 = 700 dollars :D
We can convert the equation of the line in vector form by imposing i cap ,j cap and k cap with direction ratios.
The movement of an object from one place to another is described using vectors. Vectors can be represented as points in a coordinate system in the cartesian system. Similar to this, a "n" tuple can be used to represent vectors with "n" dimensions.
In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. Simply subtract the starting point from the terminal point to determine the vector in component form given the initial and terminal points.
Learn more about vector here
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Answer:
C. (-13, -7)
Step-by-step explanation:
The location of a point O(x, y) that divides a line AB with location A
and B
in the ratio m:n is given by:
![x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bm%7D%7Bm%2Bn%7D%20%28x_2-x_1%29%2Bx_1%5C%5C%5C%5Cy%3D%5Cfrac%7Bm%7D%7Bm%2Bn%7D%20%28y_2-y_1%29%2By_1)
Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:
![x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%7D%7B5%2B2%7D%20%28-15-%28-8%29%29%2B%28-8%29%5C%5C%5C%5Cx%3D%5Cfrac%7B5%7D%7B7%7D%20%28-15%2B8%29-8%3D%5Cfrac%7B5%7D%7B7%7D%28-7%29-8%3D-5-8%3D-13%20%5C%5C%5C%5C%5C%5Cy%3D%5Cfrac%7B5%7D%7B5%2B2%7D%20%28-13-8%29%2B8%5C%5C%5C%5Cy%3D%5Cfrac%7B5%7D%7B7%7D%20%28-21%29%2B8%3D5%28-3%29%2B8%3D-15%2B8%3D-7)
Therefore the coordinates of point X is at (-13, -7)
Answer:
840 in^2
Step-by-step explanation:
If the base is square and the side length is 10 inches, the areas of the base and of the top combined is 2(100 in^2).
The height of the prism comes from dividing the volume, 1600 in^3, by the area of the base, 100 in^2: It is 16 in. Then the combined areas of the four sides of the prism is 4(160 in^2).
The total surface area of the prsim is then 640 in^2 + 200 in^2, or 840 in^2.
Answer:
C. 1/6
Step-by-step explanation:
The experimental probability is the probability that is obtained by dividing the number of times the required outcome has occurred by the total number of trials.
In the experiment given the color red is one of the six possible outcomes and the next time the experiment is performed the number of trials would be 1
so the experimental probability would be 1/6
If the previous number of trials were given then the probability would have been different.