Answer:
<u>The future value of the investment after 10 years is $ 29,240.53</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Principal = $ 17,500
Interest rate = 5.2% = 0.052 compounded semiannually
Time = 10 years = 20 semesters
2. What is the future value of the investment after 10 years?
Let's use the formula of the Future Value, to calculate it for this investment:
FV = P * (1 + r) ⁿ
Let's replace with the real values:
FV = 17,500 * (1 + 0.052/2)²⁰
FV = 17,500 * 1.670887521
<u>FV = 29,240.53</u>
Answer:
The length=16cm and the width=8cm.
Step-by-step explanation:
Given that the length is twice the breadth or width of the rectangle
Let's assume that the breadth of the rectangle is x.
Thus the length is 2x.
Given perimeter=48cm
The formula for the perimeter of a rectangle is 2(l+b) where l is length and b is breadth.
2(x+2x)=48
(3x)=48/2
3x=24
x=8cm
2x=16cm
Answer:


Step-by-step explanation:
Given
Represent volume with v, height with h and radius with r

Required
Determine the values of h and r that uses the least amount of material
Volume is calculated as:

Substitute 432π for V

Divide through by π

Make h the subject:

Surface Area (A) of a cylinder is calculated as thus:

Substitute
for h in 


Factorize:

To minimize, we have to differentiate both sides and set 

Set 

Divide through by 


Cross Multiply


Divide through by 2

Take cube roots of both sides
![r = \sqrt[3]{216}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B216%7D)

Recall that:




Hence, the dimension that requires the least amount of material is when


Answer:
Step-by-step explanation:
1. 2/5
2. 9/20
3. 0.43
4. 40.2%
5. 42%
6. 0.403
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I truely hope this is right & i hope this helps you ! <3
The whole part will be the 4. The fraction part will be the decimal. That converts to the fraction 25/40. Therefore, 4.625 as a mixed number is 4 and 25/40.