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Mathematics
01.06.2023 14:38
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If the interest rates are the same on a CD, which compounding pays more interest?

If the interest rates are the same on a CD, which compounding pays more interest?
annually
semi-annually
monthly
quarterly
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sewolf1234
sewolf1234
5,0(2 marks)
Monthly, because your value goes up every month.
kenoknox
kenoknox
4,6(15 marks)

TU = 15

Step-by-step explanation:

Given

\square MNOP \simeq\ \square STUV

NO = 10

OP = 4

TU = x

UV = 6

Required

Determine the length of TU (i.e. x)

Because both shapes are similar, then the following equivalent ratios exist:

NO : OP = TU : UV

Substitute values for NO, OP, TU and UV

10 : 4 = x : 6

Represent as fraction

\frac{10 }{ 4 } = \frac{x }{ 6}

Multiply both sides by 6

6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6

6 * \frac{10 }{ 4 } = x

x = 6 * \frac{10 }{ 4 }

x = \frac{60 }{ 4 }

x = 15

Hence:

TU = 15

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