Cristiana uses $25,000 to purchase a 25 month CD (certificate of deposit) that pays 2.47%

1 answer:

6 0

Principal amount 25000
Interest rate 2.47 percent per year = 0.0247 
number of times compounded per year 12 
Number of years 2 
Amount after 25 months = 25000 ( 1 +0.0247 / 12)^(25) 
= 25000(1.002058333)^(25) 
Amount after 2 years = 26318.74 

b) 
26318.74-25,000 = 1,318.74 

2) 
Future amount 32349.72 
Interest rate 4.27 percent per year = 0.0427 
Number of times compounded per year 365 
Number of years 18 
Amount invested in 18 years = 32349.72 / ( 1 +0.0427 / 365)^(6570) 
= 32349.72 / (1.00011698630137)^(6570) 
Amount invested before 18 years = 15000.00

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Mariulka [41]

Given:

The equation is,

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Simplify the equation by using logarthimic property.

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Simplify further.

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$\begin{gathered} x-6=0 \\ x=6 \end{gathered}$

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$\begin{gathered} x-3=0 \\ x=3 \end{gathered}$

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Substitute the values of x in the equation to check answers are valid or not.

For x = 3,

$\begin{gathered} 2\log _3(3^{})-\log _3(3-2)=2 \\ 2\log _33-\log _31=2 \\ 2\cdot1-0=2 \\ 2=2 \end{gathered}$

Equation satisfy for x = 3. So x = 3 is valid value of x.

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$\begin{gathered} 2\log _36-\log _3(6-2)=2 \\ 2\log _36-\log _34=2 \\ \log _3(6^2)-\log _34=2 \\ \log _3(\frac{36}{4})=2 \\ \log _39=2 \\ \log _3(3^2)=2 \\ 2\log _33=2 \\ 2=2 \end{gathered}$

Equation satifies for x = 6.

Thus values of x for equation are x = 3 and x = 6.

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slavikrds [6]

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$x=1\frac{83}{91}\\y=-2\frac{73}{91}$