<span>The correct answer is: Option (C) $1393.21
Explanation:
At the beginning of the Second year, the total balance would be:
$1200 + ($1200 * 7.75 / 100) = $1293
At the beginning of the Third year, the total balance would be:
$1293 + ($1293 * 7.75 / 100) = $1393.21 (Option C)</span>
Answer:
Choice B: BD/DA = CE/EA
Step-by-step explanation:
Slope is rise over run. For the two slopes to be equal, the rise over run of the two triangles must be equal.
The rise over run for triangle ABD is BD/DA.
The rise over run of triangle ACE is CE/EA.
For the slopes to be equal, BD/DA = CE/EA
Answer: Choice B.
Answer:
C. Bulldogs
Step-by-step explanation:
In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:
3= 3 ^1
5= 5^1
8= 2 * 2 * 2 = 2^3
2= 2^1
We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120
Each number will be:
Tiger= 2/3 * 40/40= 80/120
Redbird = 4/5 * 24/24= 96/120
Bulldogs = 3/8 * 15/15 = 45/120
Titans = 1/2 * 60/60 = 60/120
As you can see, the team with the lowest chance to play is Bulldogs = 45/120
Answer: PART A : 
= 
PART B : 5.9 FEET
Step-by-step explanation:
Length of the first sign = 4.4 feet
height of the first sign = 3 feet
Length of the second sign = x feet
height of the second sign = 4 feet
If two shapes are similar , then the ratio of their sides are equal,
That is ;
= 
PART A
=
PART B
=
cross multiplying , we have
3x = 4.4 x 4
3x = 17.6
Divide through by 3
x = 17.6/3
x = 5.86666666666667
x≈ 5.9 feet
Therefore , the length of the new sign is 5.9 feet
