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alekssr [168]
3 years ago
12

Joseph invested $16,000 in an account paying an interest rate of 5.7% compounded

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
5 0

Answer: 34767.2

Step-by-step explanation:

given p = $16,000, n = 14 years, y = 5.7%

amount in bank after 14 years = p ( 1 + </100)

= 16,000 (1 + 5.7/ 100) 14

= 34767.2

Taya2010 [7]3 years ago
3 0

Answer:

  • $35537.51

Step-by-step explanation:

<u>Required formula:</u>

  • P(t) = P₀e^{rt}

<u>Substitute values and solve:</u>

  • P(14) = 16000e^{0.057*14}
  • P(14) = 35537.51
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Topic : Bounds<br> Website :Mathswatch
leva [86]

Answer:

C= 7.6761229314

Step-by-step explanation:

the formula is c=d/p

d= 324.7

p= 42.3

so ... this is how to calculate...

C = 324.7 km/ 42.3 litres

I hope it can help. thanks

8 0
2 years ago
Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology ex
Nataly [62]

Answer:

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_A represent the real population proportion female for Biology

\hat p_A =\frac{84199}{144796}=0.582 represent the estimated proportion female for biology

n_A=144796 is the sample size for A

p_B represent the real population proportion female for calculus AB

\hat p_B =\frac{102598}{211693}=0.485 represent the estimated proportion female for Calculus AB

n_B=211693 is the sample size required for B

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 90% confidence interval the value of \alpha=1-0.90=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.64  

And replacing into the confidence interval formula we got:  

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

5 0
3 years ago
67.5 Divided by 2.25 show work please:(!!
Andrej [43]
Your answers is 30, use this pic to show ur work

7 0
2 years ago
Quick picture to find 3 x 2.7
Sav [38]
The answer is 8.1
.........................

8 0
3 years ago
If you buy five of the XYZ bonds with $8 commission for each how much will it cost?
Tema [17]

Answer:

B) 5065

Step-by-step explanation:

100.5 times 5 = 502.5

502.5 times 100

+ 8 times 5 (commission)

3 0
3 years ago
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