At what rate per cent per annum will $400 yield an interest of $78 in 1 1/2 years?

1 answer:

5 0

Use language that's easy-to-understand. If there's a piece of vocabulary that you feel needs clarifying, define it! 23

Step-by-step explanation:

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Increase 160km by 30%

ella [17]

There are two ways you could do this:

1. (if you have a calculator) This is called decimal multipliers, and basically all you do is multiply 160 by 1.3 because 1.3 is 1 (160) and 0.3 (30%) so you would get 208.

2. (without a calculator) This is the 'long way'. You do 160 ÷ 10 = 16 = 10%, and then 16 × 3 = 48 = 30%. After this you just add 48 on to 160 to get 208.

Hope this helps!

8 0

4 years ago

n=400 people under the age of 25 was asked whether they check social media sites right after they wake up. 42% check social medi

Aliun [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.5

For the alternative hypothesis,

p < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

P = 42/100 = 0.42

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

n = 400

z = (0.42 - 0.5)/√(0.5 × 0.5)/400 = - 3.2

Recall, population proportion, p = 0.5

We want the area to the left of 0.5 since the alternative hypothesis is lesser than 0.5. Therefore, from the normal distribution table, the probability of getting a proportion < 0.5 is 0.00069

So p value = 0.00069

Since alpha, 0.05 > than the p value, 0.00069, then we would reject the null hypothesis.

Therefore, there is significant evidence to conclude that that less than 50% of people under the age of 25 check social media sites right after they wake up.

7 0

3 years ago

Jerome has 1/4 of the groups video games at his house. Mario has 2/5 of the groups video games at his house. What fraction of th

romanna [79]

13/20 of the group's video games are at Jerome or Mario's house.

Jerome has 1/4 of the group's video games.
Mario has 2/5 of the group's video games.

The question asks what fraction of the video games are at either of their houses. Therefore, we need to add the fractions together to find out the total fraction of the video games at both of their houses.

1/4 + 2/5
We can't add these together because they have different denominators. We'll need to find the least common denominator of 4 and 5 before we can add them. If you can't think of a number that the two denominators can both multiply to get, an easy way to find the common denominator is to multiply the numbers together.

4 x 5 = 20
Therefore, our common denominator is 20. Now, we need to convert the fractions so that they can have a denominator of 20.

1/4 = ?/20
In order to find the numerator, ask yourself what we multiplied the denominator by to get the new denominator. In this case, we multiplied 4 by 5 to get 20. Therefore, we need to multiply 1 by 5 to get an equal fraction.

1 x 5 = 5
1/4 = 5/20
Our fraction is 5/20.

2/5 = ?/20
Now, let's do the same thing with the other fraction. In this case, we multiplied 5 by 4 to get 20, so we need to multiply 2 by 4 to get an equal fraction.

2 x 4 = 8
2/5 = 8/20
Our fraction is 8/20.

Now that the fractions both have the same denominator, we can add them together easily.

5 + 8 = 13
5/20 + 8/20 = 13/20
Add the numerators together to get the final answer.

Therefore, 13/20 of the group's video games are either at Jerome or Mario's house.

Hope this helps!

5 0

3 years ago

The length of a rectangle is five times its width. if the perimeter of the rectangle is 96 m , find its length and width.

givi [52]

The length of a rectangle is five times its width, and if the perimeter of the rectangle is 96 m then the length would be 19 m.

8 0

4 years ago

Write the first five terms of the geometric sequence with the given 1st term and the common ratio.

siniylev [52]

Answer: