9514 1404 393
Answer:
HL
Step-by-step explanation:
The triangles are right triangles, opening the possibility of using the special right-triangle congruence theorems.
The hypotenuses are marked congruent, and one leg is shared. No angles (except the right angle) are marked congruent. With only two sides and one angle, the AAS, SSS, and ASA theorems cannot apply.
The HL theorem can be used to show the triangles are congruent.
Answer:
THE INCREASE AND DECLINE OF POPULATION
Step-by-step explanation:
Up until the beginning of the industrial revolution, global population grew very slowly. ... After about 1800 the growth rate accelerated to a peak of 2.1% annually in 1968; but since then, due to the world-wide collapse of the total fertility rate, it has declined to 1.1% today (2020).
Answer:
q≤7
Step-by-step explanation:
q+8≤15
1) Subtract 8 from both sides:
q≤7
Answer:
f(x) = -2x² - 8x - 2
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Expand by FOIL (First Outside Inside Last)
- Standard Form: f(x) = ax² + bx + c
- Vertex Form: f(x) = a(bx + c)² + d
Step-by-step explanation:
<u>Step 1: Define function</u>
Vertex Form: f(x) = -2(x + 2)² + 6
<u>Step 2: Find Standard Form</u>
- Expand by FOILing: f(x) = -2(x² + 4x + 4) + 6
- Distribute -2: f(x) = -2x² - 8x - 8 + 6
- Combine like terms (constants): f(x) = -2x² - 8x - 2
An Investment of $10,000 yields 8% interest compounded quarterly. The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47
From the information given;
- The principal amount of investment = $10,000
- Interest Rate = 8% = 0.08
- number of times it get compounded = 4
a. we are to determine the amount of the accumulated capital after 6 months.
- i.e. when time (t) = 6 months.
Now, using the formula for calculating the amount value of the accumulated capital:
A = $10,404
b. we are to determine the amount of the accumulated capital after 5 years
- i.e. when time (t) = 5 years
A = $14859.47
Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47
Learn more about compound interest here:
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