Calculate the volume of the following figure
2 answers:
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Answer:
3y
Step-by-step explanation:
The missing term is 3y since the following like terms combine:
These terms are the same as the sum listed except -18y.
What must be added to -18y +____=-15y.
-18y+_3y__ =-15y
3y is the solution.
Interest rate for one year is rate percent amount of original investment. The amount invested by Mrs. Ming in the account paying 6% was $680
<h3>How to calculate interest after 1 year if the rate of interest is R% annually?</h3>Suppose that annually there is interest rate of R%. The amount initially invested is P, then for 1 year, it doesn't matter if its simple or compounding annually, the interest is same (it doesn't remain same if compounding isn't annually or if the time is > 1 year)
The interest for 1 year will be
Let we have the initial amount spent in account paying 8% interest rate as $x
Let for 6% interest paying account, initial amount was $y
Then, by the given data, we have:
and
Thus, we got a system of linear equations as :
From equation 1, getting value of x in terms of y, we get:
Substituting this value in second equation, we get:
Putting this value of y in the equation we got for x,
Thus, amount invested by Mrs Ming in account paying 8% interest rate as $x = $820
and for 6% interest paying account, initial amount was $y = $680
Thus,
The amount invested by Mrs. Ming in the account paying 6% was $680
Learn more about system of linear equations here:
Answer: (–9, 9)
Step-by-step explanation:
if the original point (x,y) gets dilated by a scale factor 'k' with a center of dilation at the origin, then
The coordinates of the image point are (kx, ky).
Given: The coordinates of line segment A B are A(-6,8) and B(-3,3).
then , the coordinates of B after dilation by scale factor of 3 with a center of dilation at the origin,
Hence, the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin = (–9, 9).