Answer:
Principle (P) = $2,512.56 (Approx)
Step-by-step explanation:
Given:
Interest annually (R) = 9.5% = 0.095
Amount need (A) = $9500
Time period (T) = 14 years
Find:
Principle (P)
Computation:
A = P[e^(R*T)]
9,500 = P[e^(0.095 x 14)]
9,500 = P[3.781]
P = 9,500 / 3.781
Principle (P) = $2,512.56 (Approx)
Answer:
a. 125 degrees
b. 62 degrees
c. 58 degrees
d. 130 degrees
Step-by-step explanation:
I assume these are the inner angles of the polygons.
remember, for a polygon with n sides we can fully split it into n-2 triangles without overlap.
each of these triangles has an angle sum of 180 degrees.
to get the total inner angle sum of the polygon, we need to multiply 180 by (n-2) (= the number of triangles).
out of that total we can then calculate the size of the missing angle.
a. 6 sides, therefore 4 triangles
4×180 = 720 degrees
the missing angle is
angle = 720 - 88 - 152 - 125 - 105 - 125 = 125
b. 5 sides, 3 triangles
3×180 = 540 degrees
angle = 540 - 109 - 111 - 140 - 118 = 62
c. 4 sides, 2 triangles
2×180 = 360
angle = 360 - 60 - 142 - 100 = 58
d. 7 sides, 5 triangles
5×180 = 900
angle = 900 - 90 - 120 - 140 - 150 - 120 - 150 = 130
The process of translation means that only the position
of the point is being changed. No other parameters are changed such as
reflection or rotation is being made.
In this case the translation is solely made on the y
axis. A translation of (x, y – 4) means that the point is moved down by 4
units.
So in this case, our point V is at coordinates of (-2, 4)
so a translation of (x, y – 4) means that V’ is moved down by 4 units and the
new coordinates are:
V’ = (- 2, 4 – 4)
V’ = (-2, 0)
answer:
(-2, 0)
Answer:
225 m³ or 225 cubic meters
Step-by-step explanation:
Actually it has 5 sides, the 2 bases, the 3 lateral faces.
The formula for the volume of a triangular prism is: 
Using the given measurements, we get:
The volume of the prism is 225 m³
-85, -87, -89
Step-by-step explanation:
1. Divide -261 by 3. (Answer is -87)
2. Take the odd integer before it (-85) and the odd integer after it (-89).
