Response:
$144,843.5
Detailed explanation:
In this scenario, we will utilize the compound interest formula
A= P(1+r)^t
A = final amount
P = initial principal
r = interest rate
t = number of periods
Given parameters
P= $27,000
R= 7.25%= 7.25/100= 0.0725
T= 24
A=27000(1+0.0725)^24
A= 27000(1.0725)^24
A= 27000*5.364
A= $144,843.5
By the end of 24 years, her account balance will reach $144,843.5
A cyclist maintains a consistent speed of 12 miles per hour over a period of 45 minutes.
We apply the formula, Distance = speed * time
With a constant speed of 12, it reflects a linear relationship.
The equation is represented as d = 12t, where t stands for time and d signifies distance.
At the origin, t=0 and distance d=0. At the conclusion, t=45 min = 0.75 hours and consequently, distance is 12 * 0.75 = 9.
Thus, the domain (t) is { }
Range (d) is { }
Response:
The paintings themselves would total 9 dollars
Detailed Explanation:
Response:
-10<x<0
0<x<4
4<x<8
Step-by-step clarification:
Edg 2020 provides the correct answer
Answer:
The right choice is;
D. 1. Same-Side Interior Angles Theorem
2. Transitive Property
Detailed explanation step-by-step:
The two-column proof is structured as follows;
Statement
Justification
line AB║line EF
Given
m∠KLF = 116°
Given
1. m∠KLF + m∠BKL = 180
1. Same side supplementary angles
2. m∠BKL + m∠AKL = 180°
Linear pair postulate
3. m∠KLF + m∠BKL = m∠BKL + m∠AKL
2. Transitive property
4. m∠KLF = m∠AKL
Subtraction property
5. m∠AKL = m∠KLF
Symmetric property
6. m∠AKL = 116°
Substitution property.