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Blababa [14]
3 years ago
8

an initial deposit of $200 is made into an account that pays 4.2% annual interest. What is a model to represent the balance in t

he account after x years?
Mathematics
1 answer:
Sholpan [36]3 years ago
5 0
You would use the equation y = A(1+r)^t 

A = Original amount = 200
r = interest rate = 0.042 (when converted from percent to decimal)
t = time = x 

Plug them in and you get the model: y = 200(1+0.042)^x 

or just simplify the parentheses to (1.042)
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Mars2501 [29]
1) slope=3 and y-int.=-5
2) slope=2 and y-int.=-6
3) slope=-6 and y-int.=1/2
4) slope=-7 and y-int.=5/2
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6) slope=3/4 and y-int.=8
7) slope=-2/3 and y-int.=-1/3
8) slope=-1/8 and y-int.=-3/8
9) slope=2/3 and y-int.=5
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Hope this helps!
4 0
3 years ago
What numbers multiply to 6 and add up to 9
Nookie1986 [14]
Xy = 6
x + y = 9

     x + y = 9
x - x + y = -x + 9
           y = -x + 9

                                          xy = 6
                                x(-x + 9) = 6
                            x(-x) + x(9) = 6
                                 -x² + 9x = 6
                            -x² + 9x - 6 = 0
              -1(x²) - 1(-9x) - 1(6) = 0
                       -1(x² - 9x + 6) = 0
                                 -1           -1
                             x² - 9x + 6 = 0
                             x = -(-9) ± √((-9)² - 4(1)(6))
                                                 2(1) 
                             x = 9 ± √(81 - 24)
                                            2
                             x = 9 ± √(57)
                                        2
                             x = 4.5 ± 0.5√(57)

                       x + y = 9
   4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57))    - (4.5 ± 0.5√(57))
                             y = 4.5 ± 0.5√(57)
                       (x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))

The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).
6 0
2 years ago
Simplify this radical <br> 3√12<br> and this one <br> 2√(48x^3 )
MakcuM [25]
For number one you should get 6√3





4 0
3 years ago
WILL MARK BRAINLIEST A satellite is to be put into an elliptical orbit around a moon as shown below. A vertical ellipse is shown
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Answer:

a=567 km+900 km

a=1,467 km

b=567 km+169 km

b=736 km

x^2/a^2+y^2/b^2=1

x^2/(1,467)^2+y^2/(736)^2=1

Step-by-step explanation:

7 0
3 years ago
P P,Q and R can finish a task in 8, 10 and 12 hours respectivly.They started working together but after 3 hours, P and R left. H
zimovet [89]

Answer:

45 minutes

Step-by-step explanation:

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So q will take 45 more minutes

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