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Hoochie [10]
3 years ago
13

Last year, Felipe invested his money in two purchases. He purchased a certificate of deposit for $12,000 that paid 6% interest p

er year and purchased $4000 in corporate bonds paying 5% interest per year. Answer the questions below.
Do not do any rounding.
(a) What was the total interest earned at the end of 1 year?
$
(b) What was the percent interest for his total investment?
%
Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0
Same as the other one

part A)

CD 12,000 at 6%, how much is that?  (6/100) * 12000

CB 4000 at 5%, how much is that?  (5/100) * 4000

part B)

total investment was 12000 + 4000 = 16000

the earned interest above are 720 and 200 respectively

total yield was, 720 + 200 = 920

if 16000 is the 100%, how much is 920 in percentage?

\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
16000&100\\
920&x
\end{array}\implies \cfrac{16000}{920}=\cfrac{100}{x}

solve for "x"
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In a clinical study of an allergy drug, 108 of the 200 subjects reported experiencing significant relief from their symptoms. Te
DochEvi [55]

Answer:

The decision is to not reject the null hypothesis.

At a significance level of 0.01, there is not enough evidence to support the claim that the proportion of all those using the drug that experience relief is significantly higher than 50% (P-value = 0.1443).

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion of all those using the drug that experience relief is significantly higher than 50%.

Then, the null and alternative hypothesis are:

H_0: \pi=0.5\\\\H_a:\pi>0.5

The significance level is 0.01.

The sample has a size n=200.

The sample proportion is p=0.54.

p=X/n=108/200=0.54

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{200}}\\\\\\ \sigma_p=\sqrt{0.00125}=0.035

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.54-0.5-0.5/200}{0.035}=\dfrac{0.038}{0.035}=1.061

This test is a right-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z>1.061)=0.1443

As the P-value (0.1443) is greater than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.01, there is not enough evidence to support the claim that the proportion of all those using the drug that experience relief is significantly higher than 50%.

6 0
4 years ago
Find the value of x please
Nina [5.8K]

Answer:

54 degrees

Step-by-step explanation:

5 0
3 years ago
Kevin hiked 4 miles in 135 minutes. Which equation can be used to find how many hours it took Kevin to hike the 4 miles?
Murljashka [212]

Answer:

135 divided by 4

Step-by-step explanation:

7 0
3 years ago
How can i solve this? I've looked at countless videos and nothing helps.
Andrej [43]
Let x be the number of lower-level tickets sold, and y the number of upper-level tickets sold.

Now, if the theater sells 350 tickets total, that means the number of lower-level and upper-level tickets that got sold should add up to 350, so one equation in the system is

x+y=350

You also know that the theater earns $10250 in sales, so if each lower-level ticket costs $35, and each upper-level ticket costs $25[/tex], this means 35x represents the amount of money made from selling lower-level ticekts, and 25y represents the amount of money made from selling upper-level tickets. You get the second equation in the system,

35x+25y=10250

So the system is

\begin{cases}x+y=350\\35x+25y=10250\end{cases}

Any one of the methods listed in the second part works in solving this system (though I'm not sure what "variable" refers to), but I think substituting involves the least work.

Solve the first equation for either variable; I'll choose x.

x+y=350\implies x=350-y

Now substitute this into the second equation for x, then solve for y.

35(350-y)+25y=10250\implies 10y=2000\implies y=200

So 200 upper-level seats were sold. Meanwhile, since x+y=350, this means

x+200=350\implies x=150

so that 150 lower-level tickets were sold.
6 0
3 years ago
12, 20, 5, 7, 6, 10, 18, 5, 20, 17<br>Mean<br>Median​
Tresset [83]

Answer:

Mean: 12

Median: 11

Step-by-step explanation:

For the median you would put the numbers in order from least to greatest (5, 5, 6, 7, 10, 12, 17, 18, 20, 20) then find the middle. But in this case, since there is two in the middle, you add them and divide that number by 2.

For the mean, you add all of the numbers up together to get 120. Then divide by the amount of numbers there are, which is 10, to get 12.

3 0
3 years ago
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