Answer:
Step-by-step explanation:
I = PTR/100
Given from the question:
I = $168
R = 7%
T = 8
P = ?
Substituting into the formula , we have
168 = P X 8 X 7 / 100
168 X 100 = 56P
16800 = 56P
Therefore
P = 16800/5
P = 300
Therefore the original amount in the account is $ 300
The answer is: " u = R/s " .
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Given: R = us ; Solve for "u" ;
Divide each side of the equation by "s" to isolate "u" on one side of the equation; and to solve for "u" ;
R/s = [us] / s ;
R/s = u ;
↔ u = R/s .
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Using the empirical rule, the probability that a randomly selected student's math score is between 300 and 700 (both 2 standard deviations below the mean) is 95%. Or in decimal form, .95.
if your teacher allows the pi symbol then your answer is 2513. if your teacher requires you to use 3.14 for pi then your answer is 2512. basically you use the Pythagorean theorem to find the height, and then plug the height (24) and the radius which is half the diameter (10) into the equation to find the volume of the cone. if you have any other questions about it please ask! hope this helps:)
Answer:
(4, -2) (see attached)
Step-by-step explanation:
Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.
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<h3>vector components</h3>
The components of the vectors are ...
u = (1, -2)
v = (-6, -6)
Then the components of the vector sum are ...
2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)
2u -1/3v = (4, -2)
<h3>graphically</h3>
The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.
One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.
The resultant is in red in the attachment.