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3 years ago

Find the length of the missing side. 50 m 30 m The length of the missing side is m.

Mathematics

1 answer:

satela [25.4K]3 years ago

3 0

Answer: The missing length is 40 m.

Step-by-step explanation:

30^2 + b^2 = 50^2

900 + b^2 = 2500

-900 -900

b^2 = 1600

b= 40

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The Johnson family wants to start a college fund for their daughter Gabriella. They put $63, 000 into an account that grows at a

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Answer:

<em>It will take approximately 34.13 years</em>

Step-by-step explanation:

The function G(t) below represents the amount of money in some account t years after the account is opened for The Johnson's daughter Gabriella:

$G(t)= 63,000(1+ .0255/4)^ {4t}$

It's required to find the number of years (t) it will take for the account to reach G(t)=150,000. We need to solve the equation:

$63,000(1+ .0255/4)^ {4t}=150,000$

Dividing by 63,000 and simplifying:

$\displaystyle (1+ .0255/4)^ {4t}=\frac{150,000}{63,000}=2.38095$

Taking logarithms:

$\displaystyle \log(1+ .0255/4)^ {4t}=\log 2.38095$

Applying logarithms property:

$\displaystyle (4t) \log(1+ .0255/4)=\log 2.38095$

Solving for t:

$\displaystyle 4t =\frac{\log 2.38095}{\log(1+ .0255/4)}$

$\displaystyle t =\frac{\log 2.38095}{4\log(1+ .0255/4)}$

Calculating:

$\displaystyle t =\frac{0.37675}{0.01104}$

$\boxed{t \approx 34.13}$

It will take approximately 34.13 years

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3 years ago

lora16 [44]

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Step-by-step explanation:

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