Answer:
a=8
c=5.5
Step-by-step explanation:
solve simultaneously:
2a + 4c = 38.00
3a + 3c = 40.50
times the first eq. by 3 and the second by 2
6a + 12c = 114
6a +6c = 81
subtract from one another
6a + 12c = 114
-6a +6c = 81
6c = 33
c=5.5
3a + 3x5.5 = 40.50
3a= 24
a=8
F(m) = 2.5 + 0.12m
if Natalie paid $6.82
6.82 = 2.5 + 0.12m
0.12m = 6.82 - 2.5
0.12m = 4.32
m = 4.32 ÷ 0.12
m = 36
The call was 36 minutes long.
Answer:
80 x 30 = 2,400
Step-by-step explanation:
- The volume of a medium box is 512 cubic inches.
- The ratio of the sides of the small box to the medium box is 1:2.
- The ratio of the area of the small box to the medium box is 1:4.
- The ratio of the volume of the small box to the medium box is 1:8.
<h3>What are the ratio of the small box to the medium box?</h3>
The first step is to determine the side lengths of the small box.
Side length = ∛64 = 4 in
Side lengths of the medium boxes = 4 x 2 = 8 inches
Volume of the medium box = 8³ = 256 cubic inches
The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.
The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) = 1:4.
The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.
To learn more about the volume of a cuboid, please check: brainly.com/question/26406747
Answer:
Short term Capital gain and $1200
Step-by-step explanation:
Any investment held under a year falls under short term capital gain
5,000 X 0.24 = 1,200
