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jolli1 [7]
3 years ago
15

Please help me on 1 and 4

Mathematics
1 answer:
Advocard [28]3 years ago
5 0
1.so what you are going to do it add up all the sides but not just in any order you are going to add up the like terms so 2/3x+1/3x+2/3x+1/3x that adds up to be 2x and the add up 10+5+10+5 which equals 30 so there you go. Your perimeter= 2x+30
2. -2/3 has a repeating decimal
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Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

Y ( 1+ \dfrac{0.042}{12})

The total amount after 4 years will be:

= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})

= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)

Using the sum of a geometric progression:

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}

The above amount is then equal to $5000

i.e

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000

Y =  \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\  \mathbf{Y = \$95.5090}

8 0
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Answer:

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