Answer:
0.5 %
Step-by-step explanation:
Annual rate = 6 %/yr
Monthly rate = ¹/₁₂ × 6 = 0.5 %/mo
If you invested $100 at 6 % annual simple interest, you would have <em>$106 </em>at the end of the year.
Simple interest is calculated only on the principal.
If the interest were calculated at 0.5 % monthly simple interest, you would get $0.50 at the end of each month. At the end of 12 mo, you would have <em>$106.
</em>
Answer:
x = √40 = 2√10
Explanation:
The given triangle is an isosceles triangle. This means that the angle bisector is perpendicular to the base and bisects it, which means that we now have two identical right-angled triangles.
Let's consider the triangle on the right:
We have one of its sides = 6 units, the other one = 4/2 = 2 units and the hypotenuse = x units
We will use the Pythagorean theorem to get the length of the hypotenuse as follows:
(Hypotenuse)² = (side1)² + (side2)²
x² = (6)² + (2)²
x² = 36 + 4
x² = 40
either x = -√40 = -2√10 ........> rejected as length cannot be negative
or x = +√40 = 2√10 .........> accepted value
Based on the above:
x = 2√10 units
Hope this helps :)
All the triangles have 180° total angle measurement.
First question:
114 + 37 + x = 180°
151 + x = 180
x = 180 - 151
x = 29°
Second question:
93 + 46 + x = 180
139 + x = 180
x = 180 - 139
x = 41°
The answer would be D) 7065 ft2
