9514 1404 393
Answer:
x = 22.5°
Step-by-step explanation:
Angle BED ≅ angle EBC = 6x, so angle BEA = 4x. The angles FEB and BEA form a linear pair, so we have ...
4x +4x = 180°
x = 22.5° . . . . . . divide by 8
_____
BED and EBC are "alternate interior angles" with respect to transversal BE crossing parallel lines DE and AC.
Answer:
rosemary needs to maintain 65 mph
Step-by-step explanation:
Answer:
point t
Step-by-step explanation:
Answer:
Step-by-step explanation:
![\displaystyle a^2 + 2a\sqrt{\frac{a^2}{4} + h^2} = S.A. \\ \\ 14^2 + 2[14]\sqrt{\frac{14^2}{4} + 19^2} = S.A. \\ \\ 196 + 28\sqrt{\frac{196}{4} + 361} ≈ 762,9567885 ≈ 762,96](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%5E2%20%2B%202a%5Csqrt%7B%5Cfrac%7Ba%5E2%7D%7B4%7D%20%2B%20h%5E2%7D%20%3D%20S.A.%20%5C%5C%20%5C%5C%20%2014%5E2%20%2B%202%5B14%5D%5Csqrt%7B%5Cfrac%7B14%5E2%7D%7B4%7D%20%2B%2019%5E2%7D%20%3D%20S.A.%20%5C%5C%20%5C%5C%20196%20%2B%2028%5Csqrt%7B%5Cfrac%7B196%7D%7B4%7D%20%2B%20361%7D%20%E2%89%88%20762%2C9567885%20%E2%89%88%20762%2C96)
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Answer:
It will take 56 years to make $100,000
Step-by-step explanation:
We can use the expression for the future value to determine the number of years you will work to make $100,000. The expression is as shown;
FV=PV(1+r)^n
where;
FV=future value of salary
PV=present value of salary
r=annual raise in salary
n=number of years
In our case;
FV=$100,000
PV=$50,000
r=1.25%=1.25/100=0.0125
n=unknown
replacing;
100,000=50,000(1+0.0125)^n
100,000/50,000=(1+0.0125)^n
2=1.0125^n
ln 2=ln 1.0125^n
ln 2=n ln 1.0125
n=ln 2/ln 1.0125
n=55.7976 rounded up=56
It will take 56 years to make $100,000
