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liberstina [14]
4 years ago
6

Suppose you can get a higher interest rate on your savings if you maintain a balance of at least $1000 in your savings account.

The balance of your account is now $1058. You deposit $44.50 into your account. What is the greatest amount that you can withdraw and still get the higher interest rate?
Mathematics
2 answers:
maksim [4K]4 years ago
4 0
1058+44.50 =1102.5
1102.5-1000=102.5
102.5 is your anwser

MaRussiya [10]4 years ago
4 0

Answer:

$102.5

Step-by-step explanation:

∵ The balance of the account = $ 1058,

After depositing $ 44.50 in the account,

Balance of the account = 1058 + 44.50 = $ 1102.5,

Let x be the amount ( in dollars ),

Which is withdrawn from the account,

So, the final balance of the account  = (1102.5-x) dollars

∵ For getting higher interest rate,

Balance ≥ $ 1000,

⇒ 1102.5-x ≥ 1000

⇒ 1102.5 ≥ 1000 + x

⇒ 1102.5 - 1000 ≥ x

⇒ 102.5  ≥ x

Hence, the greatest amount that can withdraw would be $102.5

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Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be=\frac{(n-2){\timeS}180^{\circ}}{6}

=\frac{(6-2){\timeS}180^{\circ}}{6}

=\frac{(4){\timeS}180^{\circ}}{6}

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Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

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P=12{\times}\frac{1}{2}

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Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be=\frac{(n-2){\timeS}180^{\circ}}{8}

=\frac{(8-2){\timeS}180^{\circ}}{8}

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Now, since AP is the angle bisector of the one of the angle of the octagon, therefore {\angle}PAC=cos\frac{135}{2}.

From ΔAPC, we have

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P=16{\times}cos\frac{135}{2}

P=16{\times}0.382

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Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

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