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VladimirAG [237]

3 years ago

11

Martha Jones received a $540 discount loan to purchase a new sewing machine. The loan was offered at 12.5% for 90 days. Find the

interest in dollars and the proceeds for the following problem.

1 answer:

Ede4ka [16]3 years ago

4 0

16.88

523.12

at least for the question i got

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. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of al

Shtirlitz [24]

Answer:

900 sample size

Step-by-step explanation:

To determine the sample size for a proportion, the margin of error formula is used to determine this:

$E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }$

$n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2$

Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, $Z_\frac{\alpha }{2}$ is the z score.

Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5

E = 5% = 0.05, $Z_\frac{\alpha }{2}$ = 3. Hence:

$n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900$

6 0

3 years ago

Convert 1 cal/(m^2 * sec * °C) into BTU/(ft^2 * hr * °F)

Crazy boy [7]

Answer:

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Step-by-step explanation:

To find : Convert $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}$ into $\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Solution :

We convert units one by one,

$1\text{ m}^2=10.7639\text{ ft}^2$

$1\text{ sec}=\frac{1}{3600}\text{ hour}$

$1\text{ cal}=0.003968\text{ BTU}$

Converting temperature unit,

$^\circ C\times \frac{9}{5}+32=^\circ F$

$1^\circ C\times \frac{9}{5}+32=33.8^\circ F$

So, $1^\circ C=33.8^\circ F$

Substitute all the values in the unit conversion,

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{10.7639\times \frac{1}{3600}\times 33.8}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{0.101061}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Therefore, The conversion of unit is $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

3 0

2 years ago

grant and two friends drove 210 miles . their car got 31 miles per gallon on the trip. How many gallons of gas did they use on t

Bad White [126]

Answer:6.774 gallons

Explanation: They drove 210 miles with 31 miles per gallon. So you divide 220/31=x
X=6.774 gallons

6 0

3 years ago

During a sale, a dress is sold at discount of 15%. The original price of the dress is $ 60. What is the price of the dress after

ycow [4]

15/100=0.15
60*0.15=9
60-9=$52 after discount

7 0

2 years ago

Which shows the correct solution to the inequality 7/10> 1 5/8+p

Bogdan [553]

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:p$

Step-by-step explanation:

$\frac{7}{10}>1\frac{5}{8}+p$

$\frac{7}{10}>\frac{13}{8}+p$

$\frac{13}{8}+p$

$\frac{13}{8}+p-\frac{13}{8}$

$p$

3 0

2 years ago