Answer:
45
Step-by-step explanation:
Every Triangle has 180 degrees.
x + 8x + 3x = 180
12x = 180
x = 180/12
x = 15
Angle K = 3x
K = 3 * 15
K = 45
Answer:
125,000 * 1.0625^t years
Step-by-step explanation:
compound interest = increase in amount
100 + 6.25 = 106.25
106.25/100 = 1.0625
therefore, 125,000 * 1.0625^years
3x+2y=6 -
8x+2y=2
_________
-5x=4
x=-4/5
-2.4+2y=6
y=8.4
Consider the function

, which has derivative

.
The linear approximation of

for some value

within a neighborhood of

is given by

Let

. Then

can be estimated to be

![\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B63.97%7D%5Capprox4-%5Cdfrac%7B0.03%7D%7B48%7D%3D3.999375)
Since

for

, it follows that

must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function

. This means the estimated value is an overestimation.
Indeed, the actual value is closer to the number 3.999374902...