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yKpoI14uk [10]
3 years ago
11

Henry invested $59,000 in an account paying an interest rate of 2% compounded quarterly. Assuming no deposits or withdrawals are

made, how much money, , would be in the account after 20 years?
Mathematics
1 answer:
AfilCa [17]3 years ago
5 0

Answer:

Step-by-step explanation:

A=P(1+r/4)^{(4t)}\\ \\ A=P(1+.02/4)^{(4t)}\\ \\ A=59000(1.005)^{4(20)}\\ \\ A=\$ 87929.98

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X^2+x-2/1-x^2 ÷ 2x^2-6x-20/x^2-4x-5
ad-work [718]
<span>X^2+x-2/1-x^2 ÷ 2x^2-6x-20/x^2-4x-5

   (x + 2)(x - 1)           (x - 5)(x + 1)
= ------------------- *  ---------------------
   (1 + x)(1- x)           2(x + 2)(x - 5)

</span>    (x - 1)        
= ----------
   2(1- x)    

    - (1 - x)        
= -------------
     2(1 - x)    

= -1/2

answer
-1/2 
   
7 0
3 years ago
2x-1/6 = 2(x-3)/3 + 1?
IceJOKER [234]
2x-\frac{1}{6}=\frac{2(x-3)}{3}+1\ \ \ \ |multiply\ both\ sides\ by\ 6\\\\6(2x)-6(\frac{1}{6})=6\left(\frac{2x-6}{3}\right)+6(1)\\\\12x-1=2(2x-6)+6\\\\12x-1=2(2x)+2(-6)+6\\\\12x-1=4x-12+6\\\\12x-1=4x-6\ \ \ \ |add\ 1\ to\ both\ sides\\\\12x=4x-5\ \ \ \ \ |subtract\ 4x\ from\ both\ sides\\\\8x=-5\ \ \ \ |divide\ both\ sides\ by\ 8\\\\\boxed{\boxed{x=-\frac{5}{8}}}
7 0
3 years ago
Read 2 more answers
Write the first three terms of the sequence defined by the recursive formula if a1=2.
gogolik [260]

The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Given:

an =  \frac{an - 1}{4}  - 2

where,

n = number of terms

First term, a1 = 2

Second term, a2

an =  \frac{an - 1}{4}  - 2

a2 = {(2 - 1)/ 4} - 2

= 1/4 - 2

= (1-8) / 4

= - 7/4

Third term, a3

= {(3-1) / 4} - 2

= 2/4 - 2

= 1/2 - 2

= (1-4) / 2

= -3/2

Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Learn more about sequence:

brainly.com/question/6561461

4 0
3 years ago
A farmer builds a fence to enclose a rectangular pasture. He uses 160 feet of fence. Find the total
givi [52]
Since the problem said he uses 160 feet of fence, you know that is the perimeter
P = 2l + 2w
You know that one of the dimensions is 50, so you can plug that into the equation
160 = 2 x 50 + 2w
160 = 100 + 2w
2w = 60
w = 30
The area is equal to l x w 
50 x 30 = 1500 square feet
8 0
3 years ago
An equiangular triangle has one angle of measure 2x+8. What is x?
lina2011 [118]

Answer:

x=26\\

Step-by-step explanation:

The sum of the interior angles of a triangle add up to 180^{\circ}. Therefore, an equiangular triangle will have each of its angles equal to 60^{\circ}}. We can then set up the following equation:

2x+8=60, \\2x=52, \\x=\fbox{$26$}.

3 0
3 years ago
Read 2 more answers
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