Answer:
1/4
Step-by-step explanation:
Find the area of the full rectangle:
=> 40 x 30 = 1200
Find the area of the uncut part:
=> 20 x 15
=> 300
Make these numbers as a fraction.
=> 300 / 1200
=> 3/12
=> 1/4
So, 1/4 part remains uncut.
We have to find the,
Accumulated amount at end of 12 years.
The formula we use,
→ A = P(1+r)^t
It is given that,
→ P = $4000
→ t = 12 years
Then r will be,
→ 6%
→ 6/100
→ 0.06
Then the total amount is,
→ P(1+r)^t
→ 4000 × (1 + 0.06)^12
→ 8048.79
Thus, $ 8048.79 is the amount.
Answer:
3.125 mg/ oz
Step-by-step explanation:
Amount of instant tea = 24 ounces
Amount of green tea = 12 ounces
Caffeine in instant tea = 24/8*30= 90 mg/oz
Also, caffeine in green tea = 12/8*15 =22.5 mg/oz.
Total amount of mixture= 24+12= 36 ounce
Total amount of caffeine in the mixture = 90+22.5 = 112.5 mg/oz
Caffeine per ounce in the final mixture = 112.5 / 36 = 3.125 mg/ oz
Answer:
E) 35°, 70°.
Step-by-step explanation:
Given that the triangle has angles of a°, 2a° and 75°.
A triangle is a polygon shape that has three sides and three angles. The sum of angles in a triangle is 180°. There are different types of triangles such as scalene triangle, isosceles triangle, equilateral triangle e.t.c.
In the triangle:
a + 2a + 75 = 180° (sum of angles in a triangle)
3a + 75 = 180
adding -75 to both sides:
3a + 75 - 75 = 180 - 75
3a = 105
a = 105/3
a = 35°
Hence 2a = 2(35) = 70°
Therefore a = 35° and 2a = 70°
