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Galina-37 [17]
3 years ago
5

Kaylee deposited $1,450 in an account that earns 2.596 interest compounded annually. Which function represents the situation, wh

ere tis
the time in years?

fit) = 1450(2.5)

f(t) = 1450(1.25)

FO) = 1450(.025)

f(t) = 1450(1,025)
Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0

Answer:

f(t) = 1450(1.025)^{t}

Step-by-step explanation:

Given

P =1450 -- principal

r = 2.5\% --- rate

n = 1 --- compounded once a year

Required

Determine the function for compound interest

Compound interest f(t) is calculated as:

f(t) =P(1 + r/n)^{nt

So, we have:

f(t) = 1450(1 + 2.5\%/1)^{1 * t}

f(t) = 1450(1 + 2.5\%)^{t}

f(t) = 1450(1 + 0.025)^{t}

f(t) = 1450(1.025)^{t}

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What is 2826 rounded to the nearest hunderd
Savatey [412]

Answer:

800

Step-by-step explanation:

2826 around to the nearest hunderd is 800

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4 years ago
Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that
amm1812

Answer:

The value is  P(| \^ p -  p| < 0.05 ) = 0.9822

Step-by-step explanation:

From the question we are told that

    The population proportion is  p =  0.52

     The sample size is  n  =  563      

Generally the population mean of the sampling distribution is mathematically  represented as

           \mu_{x} =  p =  0.52

Generally the standard deviation of the sampling distribution is mathematically  evaluated as

       \sigma  =  \sqrt{\frac{ p(1- p)}{n} }

=>      \sigma  =  \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }

=>      \sigma  =   0.02106

Generally the  probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

            P(| \^ p -  p| < 0.05 ) =  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 ))

  Here  \^ p is the sample proportion  of persons with a college degree.

So

 P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma }  < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )

Here  

    \frac{[\^p - p] - p}{\sigma }  = Z (The\ standardized \  value \  of\  (\^ p - p))

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 }  <  Z  < \frac{-0.47 + 0.52}{0.02106 }]

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[ -2.37 <  Z  < 2.37 ]

=>  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(Z <  2.37 ) - P(Z < -2.37 )

From the z-table  the probability of  (Z <  2.37 ) and  (Z < -2.37 ) is

  P(Z <  2.37 ) = 0.9911

and

  P(Z <  - 2.37 ) = 0.0089

So

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) =0.9911-0.0089

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = 0.9822

=> P(| \^ p -  p| < 0.05 ) = 0.9822

3 0
3 years ago
Find the length of the arc and area of the shaded region. Round the answer to two decimal places. (Use Pi = 3.14) SHOW WORK!
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Step-by-step explanation:

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3 years ago
Craig Browning bakes cookies for the elementary school cookie sale. His chocolate chip cookies sell for $1.00 a dozen, and his o
Volgvan

Answer and Step-by-step explanation:

Let

Number of chocolate chip cookies = x

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From the inequality:

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By putting the value of x=12.5 in equation y = 3x, we get

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Craig should make 12.5 dozen chocolate chip and 37.5 dozen oatmeal brownies in order to make more money.

8 0
4 years ago
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