64 degrees hope this helps you out
The value of the annuity after the last investment is $141,920.
You are looking for the future value of an annuity.
<em>Future value of annuity = Annuity x Future value interest factor of annuity </em>
Because this annuity is compounded semi-annually, you need to convert the figures to a semi-annual basis:
Number of periods = 6 years x 2 = 12 semi annual periods
Interest = 6% / 2 = 3% per semi annum
Future value of annuity = Annuity x Future value interest factor of annuity 3%, 12 periods
= 10,000 x 14.1920
= $141,920
<em>Find out more at brainly.com/question/14761171.</em>
1.05
x + 5%x = x + 0.05x = 1.05x
That will be true each month.
1.05x + 5% (1.05x) = 1.05 x + 0.05(1.05x) = 1.05x(1+1.05) = 1.05[1.05x]
Each month you can multiply the previous amount times the ratio 1.05
Answer:
z = 7/3 is extraneous.
Step-by-step explanation:
√(z^2+8) = 1 - 2z
z^2 + 8 = (1 - 2z)^2
z^2 + 8 = 1 -4z + 4z^2
3z^2 - 4z - 7 = 0
3z^2 + 3z - 7z - 7 = 0
3z(z + 1) - 7(z + 1) = 0
(3z - 7)(z + 1) = 0
3z = 7, z = -1
z = 7/3, -1.
One of these might be extraneous.
Checking:
√(z^2+8) = 1 - 2z, if z = -1:
√(1 + 8) = 3, -3
1 - 2(-1) = 3. So its not z = -1
if z = 7/3
√((7/3)^2 + 8) = 13.44
1 - 2(7/3) = -3.66
So its z = 7/3
Answer:
Angle <em>ADE</em> is an obtuse angle.
Step-by-step explanation:
An obtuse angle is an angle that "opens" greater than 90 degrees. The question asks which angle is an obtuse angle, so basically you follow the order of letters and see which one is greater than 90 degrees (btw, 90 degrees, also known as a right angle, looks like the corner of a square, and anything greater than that is an obtuse angle).