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Anvisha [2.4K]
3 years ago
8

You are saving for a bicycle that costs $120. You Deposit $75 in an account that earns compounded annually. The Expression 75(1+

r)^2 represents the balance after 2 years the annual interest rate in decimal form.
A. Write a polynomial that represents the balance of your account.
B. What is the balance of your account when the interest rate is 10%.
C. How much more money do you need to buy the bicycle?
Mathematics
1 answer:
dezoksy [38]3 years ago
8 0
A. Expanding the given expression, you have
  balance = 75r^2 +150r +75

B. For r=0.10, the balance after 2 years is 75*1.1^2 = 90.75

C. The difference between $120 and 90.75 is $29.25. You need $29.25 more to buy the bicycle.
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Answer:

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Step-by-step explanation:

For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

\boxed{ \mathsf{slope =  \frac{ y_{2} -y  _{1}}{ x_{2} - x _{1}} }}

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).

Solving for slope:

\implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }

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\implies \mathsf{ \frac{ - 3}{3 } }

\implies \mathsf{  - 1 }

Hence, the slope of the line joining the given points is <u>-1.</u>

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jeka57 [31]

Answer:

y = 85°

z = 35°

x = 60°

Step-by-step explanation:

y) 180 - 120 = 60, therefore:

180 - (35 + 60)

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=> <u>z = 35</u>

x)

180 - (35 + 85)

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Step-by-step explanation:

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The polygon here has 6 sides. n = 6. Its interior angles shall add up to (6 - 2) \times 180^{\circ} = 720^{\circ}.

Consider the properties of a regular polygon. (Credit: Mathsisfun.)

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