Answer: A = 2000(1.05)^5
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $2000
r = 5% = 5/100 = 0.05
n = 1 because it was compounded once in a year.
t = 5 years
Therefore, the equation that shows how much money will be in the account after five years is
A = 2000(1 + 0.05/1)^1 × 5
A = 2000(1.05)^5
Answer:
Option A
Step-by-step explanation:
multiply 2/7 and 3/4
you get 6/28
then simplify
you get 3/14
<h3>
Answers</h3>
- SSS congruence theorem
- SAS congruence theorem
- ASA congruence theorem
- AAS congruence theorem
- HL congruence theorem
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Explanation:
- SSS stands for "Side side side" indicating there are 3 pairs of sides that are same length. Visually we use tickmarks to show how the sides pair up. Eg: sides that have 1 tickmark only are the same length. If we know that all 3 pairs of sides are congruent, then we have enough info to conclude the triangles are congruent.
- SAS means "side angle side". The angle is between the two sides. The sides in question are the ones with tickmarks to indicate how they pair up.
- We have two angles and a side between them. So we use ASA this time. It stands for "Angle side angle". This is slightly different from AAS.
- We'll use AAS here. The side is not between the two angles. So this is why AAS is different from ASA. Some books may call "AAS" as "SAA", but they're the same thing.
- HL stands for hypotenuse leg. This only applies to right triangles (since the hypotenuse is a special term for the longest side of a right triangle). The hypotenuse is always opposite the 90 degree angle. This is the only time when SSA will work. Otherwise, SSA is ambiguous and it is not a valid congruence theorem.
The dimensions of the fridge are the length, width and the height of the fridge
The volume of the fridge is 123379.2 cubic inches
<h3>How to determine the volume of the fridge</h3>
The dimensions are given as:
70 inches ×1.7 yards ×2.4 feet
Convert the dimensions to inches
70 inches × 61.2 inches × 28.8 inches
So, the volume is:
Volume = 123379.2 cubic inches
Hence, the volume of the fridge is 123379.2 cubic inches
Read more about volumes at:
brainly.com/question/1972490
<h3>
Answer: 4 feet</h3>
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Work Shown:
See below for the diagram.
(person height)/(person shadow) = (tree height)/(tree shadow)
x/3 = 6/4.5
x*4.5 = 3*6
4.5x = 18
x = 18/4.5 ...... dividing both sides by 4.5
x = 4
The boy is 4 feet tall.