Answer: c
Step-by-step explanation:
The answer would be 12.99% and $187,000.
Solution:
(1.031^4(15) = ( 1+r)^15
60 log 1.031 = 15 log (1 + r)
4log (1.031) = log ( 1 + r)
10^[4log(1.031)] = r + 1
10^[4log (1.031) ] - 1 =
r = 0.1299
= about 12.99%
let's firstly convert the mixed fraction to improper fraction and then divide.
namely how many times does 1/4 go into 2 and 2/4.
![\bf \stackrel{mixed}{2\frac{2}{4}}\implies \cfrac{2\cdot 4+2}{4}\implies \stackrel{improper}{\cfrac{10}{4}}\implies \cfrac{5}{2} \\\\\\ \cfrac{5}{2}\div \cfrac{1}{4}\implies \cfrac{5}{2}\cdot \cfrac{4}{1}\implies \cfrac{5}{1}\cdot \cfrac{4}{2}\implies 5\cdot 2\implies 10](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B2%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%2B2%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B10%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B2%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B5%7D%7B2%7D%5Cdiv%20%5Ccfrac%7B1%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B2%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B1%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B1%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B2%7D%5Cimplies%205%5Ccdot%202%5Cimplies%2010)
Answer:
z = 110°
w = 80°
x = 0°
Step-by-step explanation:
Start with the 100° angle. The vertical angle is also 100°. Supplementary angles add up to 180°, so the angle beside it is 80°.
External angles equal the sum of the opposite internal angles, so the other internal angle is 50°. The angle supplementary to that is 130°.
The angle supplementary to the 120° angle is 60°. Angles of a quadrilateral add up to 360°, so the remaining angle is 70°. This angle is supplementary to z, so z is 110°.
TUVW is a parallelogram (a quadrilateral where opposite angles are congruent). Therefore, angle W is 80°. (You could also use the fact that angles of a quadrilateral add up to 360°.)
Angles of a quadrilateral add up to 360°, so:
90 + 84 + 2x + 118 + 2x + 68 = 360
4x + 360 = 360
4x = 0
x = 0