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Ede4ka [16]
3 years ago
7

You deposit $400 into an account that pays 2% annual interest compounded quarterly.

Mathematics
2 answers:
muminat3 years ago
4 0

Step-by-step explanation:

Part A

The exponential model that describes the situation

The formula is

Y (x)=400 (1+0.02/4)^4x

Y (x)=400 (1+0.005)^4x

Y (x)=400 (1.005)^4x

Where x is the number of years

Part B

The value of the account after 5 years

Y (5)=400×(1.005)^(4×5)

Y (5)=441.96

Read more on Brainly.com - brainly.com/question/4656074#readmore

Ad libitum [116K]3 years ago
3 0
Part A
The exponential model that describes the situation
The formula is
Y (x)=400 (1+0.02/4)^4x
Y (x)=400 (1+0.005)^4x
Y (x)=400 (1.005)^4x
Where x is the number of years

Part B
The value of the account after 5 years
Y (5)=400×(1.005)^(4×5)
Y (5)=441.96

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A pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 331 m/s. What is the le
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Answer:

51.72 cm.

Step-by-step explanation:

We have been given that a pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 331 m/s. We are asked to find the length of the pipe.

First of all, we will find the wavelength using following formula.

\text{Wave speed}=\text{Frequency}\times \text{Wave length}

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We know that Hz is equal to \frac{1}{s}.

331\frac{\text{m}}{\text{s}}=320\frac{1}{\text{s}}\times \text{Wave length}

331\text{ m}=320\times \text{Wave length}

\text{Wave length}=\frac{331}{320}\text{ m}

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Length of the pipe would be half of the wave-length.

\text{Length of pipe}=\frac{1.034375}{2}\text{ m}=0.5171875\text{ m}

Since the length of pipe is in meters, so we will convert it into cm.

1 m = 100 cm

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3 years ago
Karen collects bugs. Each of her rare beetles weighs 4 ounces. The total weight of her collection is 32 ounces. How many pounds
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3 years ago
2 + 3a + 9a
GrogVix [38]

wassup

terms: 2 ( 2 and 12a)

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coefficients: 12

constants : 2

your welcome..

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