Answer:
16
Step-by-step explanation:
If it is compounded quarterly, that's 4 times a year.
If you do this for 4 years that's 4×4.
That would be 16.
Answer:
b=3
Step-by-step explanation:
i subtracted 11 with the 26 and got 15 and then I divided the 5b with the 15 and got 3
Hope i helps<33
Answer:
85 nails
Step-by-step explanation:
First, we need to calculate the volume of a single nail. It consists of a circular cylinder and hemispherical part.
The volume of the cylinder πr^2 • h. We are given the diameter of the cylinder (14 mm), so radius is half of that (r = 7 mm) and we are given the height (h = 20 mm).
So, the volume of the cylinder is:
V1 = π • 7^2 • 20
V1 = 3077.2 mm^3
Now for the volume of the hemisphere part. Its volume is half of the sphere:
V2 = (4/3 • πr^3) / 2
Diameter of the sphere is given and it is 21 mm, so the radius is 10.5 mm. So, the volume is:
V2 = (4/3 • π • 10.5^3) / 2
V2 = 2423.3 mm^3
So, the volume of the nail is V1 + V2 which is 5500.5 mm^3
Now let's convert volume of the metal used for making nails. It's given that it is 550.55 cm^3 which is 550550 mm^3.
It is also said that 15% of the volume is wasted, so we are left with 85% of the volume, which is 550550 • 0.85 and that equals to 467967.5 mm^3. So to find a number of nails made from this volume, we divide:
467967.5 / 5500.5 = 85 nails
Answer:
(-3, 3)
Step-by-step explanation:
The equation of line AB is
Since the y-intercept of the given line is (0,2), the line AB and the given line intersect at (0,2).
By definition, (0,2) is the midpoint of AA', where A' is the image of A after the reflection.
So, the coordinates of A' are (-3, 3)
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F(x) represents the value of y on curve for given value of x
[ since 0 < 2 ]
[ since 2 = 2 ]
[ since 4 > 2 ]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
