Answer:
a. $10,943.30
b. $1,267.35
Step-by-step explanation:
P = $9,675.95
r = 6.25% = 0.0625
t = Compounded Semiannually = 2
a. Amount after 2 Years
n = 2
A = P [1 + (r / n)]^nt
A = $9,675.95 [1 + (0.0625 / 2)]² ˣ ²
A = $9,675.95 [1 + 0.03125]⁴
A = $9,675.95 [1.03125]⁴
A = $9,675.95 x 1.130982
A = $10,943.30
b. Compound Interest
Compound Interest = Final Amount - Principal Amount
Compound Interest = $10,943.30 - $9,675.95
Compound Interest = $1,267.35
Answer:
312π mm^2
Step-by-step explanation:
to find the volume of the figure, you have to calculate the volume of a cone and the volume of a sphere divided it by 2.
The volume of a cone is 1/3 * π * r ^ 2 * h, replacing the information:
V = 1/3 * (6) ^ 2 * (14) = 168π mm^2
The volume of a sphere is 4/3 * π * r ^ 3, replacing the information:
V = 4/3 * π * (6) ^ 3 = 288π mm^2
but since you only have half the sphere
V = 288π / 2 = 144π mm^2
then the total volume is
Vt = 168π + 144π = 312π mm^2
Answer:
i think 64?
Step-by-step explanation:
its supposed to be the same on the bottom, right?
A. 6-4=2 YES
12 + 12 = 14 NO
B. 5-3=2 YES
10+9 = 14 NO
C. 3-1 = 2 YES
6+3 = 14 NO
D. 4-2= 2 YES
8+6 = 14 YES
THE ANSWER IS D
ANSWER
B' has coordinates (16,14).
EXPLANATION
The given coordinates of square ABCD are :
A (2,7) , C (8,1),D (2,1)
In order to form a square, the coordinates of B should be: (8,7)
The mapping for dilation with a scale factor 2, about the origin is
This implies that:
When we simplify we get:
Hence B' has coordinates (16,14).
