In 2012 Staci invested $14,500 in a savings account for her newborn son. The account pays 3.6% interest each year. Determine the
1 answer:
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A. Answer: It is a system of equations that can be solved using substitution method; x = -3
<u>Step-by-step explanation:</u>
y = 4⁻ˣ
y = 8⁻ˣ⁻¹
Use substitution to replace y in the second equation with 4⁻ˣ
4⁻ˣ = 8⁻ˣ⁻¹
Solve by manipulating the 4 and 8 so they have the same base, then set the exponents equal to each other and solve for x
2²⁽⁻ˣ⁾ = 2³⁽⁻ˣ⁻¹⁾
2(-x) = 3(-x - 1)
-2x = -3x - 3
x = -3
Plug the x-value into either of the equations to solve for y
y = 4⁻ˣ
y = 4⁻⁽⁻³⁾
y = 4³
y = 64
Solution is: (-3, 64)
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B.
Notice that they share the same x, y-coordinate: (-3, 64)
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C. Answer: Graph both equations to see where they cross
<u>Step-by-step explanation:</u>
see attached graph
Answer:
A
Step-by-step explanation:
using the rule of radicals
×
⇔
, then
=
= ×
= 2
Then
+ 18
- 5
= 12 + 18(2 ) - 5(8)
= 12 + 36 - 40
= - 28 + 36