Answer:
5/8, 20/32
Step-by-step explanation:
Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8
To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32
Multiply 75 by 1.0675 to find the total amount of tax plus 100 percent of the original fee im pretty sure and for the seocnd one multiply 450 by 1.45
Answer:
Mid point of the given end points = 
Step-by-step explanation:
Given the end points of the line segment are :
(0,
) & (
,0)
We will use the mid point formula when two points are: (x₁,y₁) & (x₂,y₂)
mid point = 
now put the value of x₁ = 0
x₂ = 
y₁ = 
y₂ = 0
mid point = 
= 
That's the final answer.
Answer:
Figure 1
Step-by-step explanation:
Congruent shapes are shapes that share the same side lengths and angle measures. In figure 1, we see that all sides and angles are marked equal, thus both shapes are congruent. However, in figure 2, we clearly see that the sides of each of the triangles are different. Thus, the triangles in figure 2 are not congruent.
The pertinent formula is A = P (1 + r/n )^(nt), where
P is the original amount of money (Principal),
A is the compound amount,
r is the annual interest rate, expressed as a decimal fraction,
n is the # of compounding periods per year, and
t is the # of years.
Here, A = $35000 ( 1 + 0.04/4)^(4*6)
= $35000 (1.01)^24
= $35000 (1.2697) = $44440.71