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Murljashka [212]
3 years ago
11

A family charges a trip to the zoo on a credit card. The simple interest rate is 12%. The charges are paid after 3 months. What

is the total amount paid for the trip? Round your answer to the nearest hundredth.
Tickets 67.70
Food 62.34
Gas 45.50
Mathematics
1 answer:
vodomira [7]3 years ago
5 0
The formula for simple interest is: A = P(1 + rt)
R=12
We are going to convert the percent (12) into a decimal.
r = R/100 = 12/100 = 0.12
Then, we are going to put the months into years.
3 / 12  = 0.25
Let's plug in the values:
A = 175.54(1 + (0.12 * 0.25)) = 180.8062
A = 180.81
The total amount paid for the trip is $180.81

Have a nice day! :)
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in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine
makkiz [27]

Answer:

\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}

Step-by-step explanation:

<em>Step 1: Define significance level</em>

In this hypothesis testing problem, significance levels α is selected: 0.05, the associated z-value from Laplace table:

Φ(z) = α - 0.5 = 0.05 - 0.5 = -0.45

=> z = -1.645

<em>Step 2: Define null hypothesis (</em>H_{0}<em>) and alternative hypothesis (</em>H_{1}<em>)</em>

H_{0} : rate of flu infection p = 8.3% or 8.3/100 = 0.083

H_{1} : rate of flu infection p < 8.3% or 8.3/100 = 0.083

<em>Step 3: Apply the formula to check test statistic:</em>

K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}

with f is actual sampling percent, p is rate of flu infection of H_{0}, n is number of samples.

The null hypothesis will be rejected if K < z

<em>Step 4: Calculate the value of K and compare with </em>z

K = \frac{(\frac{3.5}{100})  - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46  

We have -2.46 < -1.645

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As H_{1} states)

Hope this helps!

:)

5 0
3 years ago
Consider that a 1/2 cup of serving of 1% cottage cheese is equivalent to 125 grams. If one once of cottage cheese is equivalent
Andre45 [30]

Answer:

4.4 ounces

Step-by-step explanation:

125/28.35 to find how many ounces can fit into 125 grams since 28.35 is one ounce. the answer is 4.4 so 4 2/5 (or 4.4) ounces is a half cup serving

7 0
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If you put $1,060 as a non-refundable deposit on an apartment, and pay $1,137 each month in rent, what is your total cost if you
N76 [4]

Answer:

$110,212

Step-by-step explanation:

$1,137*12=13,644. Multiply by 12 for 12 months in a year

13,644*8=109,152. Rent for 8 years excluding deposit.

109,152+1060=110,212. Total Cost for 8 Years

7 0
3 years ago
Item 5
miv72 [106K]

Answer:

A. $41.40

Step-by-step explanation:

Take 36 multiply by the decimal percentage (.15) =5.4  then simply add

5 0
3 years ago
If a group of independent variables are not significant individually but are significant as a group at a specified level of sign
ycow [4]

Answer:

D) collinearity

Step-by-step explanation:

Collinearity occurs when a few of the independent variables are related or match up. Collinearity increases the large proportion the variance of an estimated regression coefficient which leads to certain regression coefficient having wrong signs. It is used to explain the relationship between two variables.

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