For this, we have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years
Formula: A= P * ( 1+r)^t
A= $41,000
r=0.023
t= 17
<span>41,000= P * (1+0.023)^17
</span>41,000= P * (1.023)^17
41,000= P * 1.4719
P= 41,000 : 1.4719
P= $27,731.59
Therefore, the answer is C. $27,731.59 
I checked by doing the opposite, and I got $41,000.01, which is the closest to the question<span>
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Answer:
<u>92 feet.</u>
Step-by-step explanation:
Given:
The length of the garden needs to be 22 feet longer than the width of the garden.
The perimeter of the fence is a total of 324 feet 
Question asked:
What will the length be of garden ?
Solution:
As length of the garden needs to be 22 feet longer than the width,
<u>Let width</u> = 
Then,<u> length </u>will be = 
As here perimeter of the fence is given, we can find length and width of garden by using: 
Perimeter of rectangle = 

Subtracting both sides by 44

Dividing both sides by 4

Width =  = 70 feet
 = 70 feet
Then, length will be =  = 70 + 22 = 92 feet
 = 70 + 22 = 92 feet
Therefore, the length of the garden will be 92 feet.
 
        
             
        
        
        
9514 1404 393
Answer:
- tan(A) = 7/24
- sin(A) = 7/25
- cos(A) = 24/25
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the trig ratios:
   Sin = Opposite/Hypotenuse
   Cos = Adjacent/Hypotenuse
   Tan = Opposite/Adjacent
With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...
   tan(A) = 7/24
   sin(A) = 7/25
   cos(A) = 24/25
 
        
             
        
        
        
D. All irrational numbers are rational numbers. 
I attached the diagram my teacher showed us when we learned about this. I think it makes it a lot less confusing. 
Hope this helps :)
 
        
        
        
9514 1404 393
Answer:
   2
Step-by-step explanation:
Each image point is twice as far from the origin as its preimage point. Each image segment is twice as long as its preimage segment. (LM=2, L'M'=4, for example)
The scale factor is 2.