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3 years ago

Help plz just number 11 and 12

Mathematics

2 answers:

iren [92.7K]3 years ago

6 0

Here you go, don't know if it's correct though:
8x=32.8

Stella [2.4K]3 years ago

4 0

Answer is 4.0
32.8/8=4.0

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A person invests 1000 dollars in a bank. The bank pays 4% interest compounded

Anuta_ua [19.1K]

Answer:

The person must leave the money for 11.8 years until the investment reaches 1600 dollars.

Step-by-step explanation:

Given that a person invests 1000 dollars in a bank, and the bank pays 4% interest compounded quarterly, to determine to the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 1600 dollars the following calculation must be done:

1000 x (1 + 0.04 / 4) ^ Xx4 = 1600

1000 x 1.01 ^ 4X = 1600

1010 ^ 4X = 1600

X = 11.8

Therefore, the person must leave the money for 11.8 years until the investment reaches 1600 dollars.

6 0

3 years ago

18x + 3° ( 10x - 27) Find the measure of each indicated angle

Natali [406]

Answer:

48x-81

Step-by-step explanation:

18x+3(10x-27)

Then distribute

18x+30x-81

Combine like terms

Final Answer: 48x-81

7 0

3 years ago

Find three different irrational numbers between the rational numbers 0.13 and 0.14

drek231 [11]

In order to solve this problem easily you coin this method: Find the squares of 0.13 and 0.14. They are respectively 0.0169 and 0.0196. Irrational numbers are going to located between this interval, considering that we are not counting perfect squares. $\sqrt{0.0168} , \sqrt{0.017} , \sqrt{0.0175}$ are the three possible answers.

4 0

3 years ago

Read 2 more answers

hali invested money into an account that is guaranteed to grow$28 each year. she graphs a line that represents the growth of the

tankabanditka [31]

If we take the graph with x as number of years and y as amount of dollars in it as mentioned in the equation;
gradient of the graph/ slope (m) = Change in y / change in x
so if we take a certain portion of the graph
x is the number of years, since we know the growth for one year,
lets take change in x as 1 year
y is amount of dollars, the change in amount of dollars for one year is 28
therefore change in y is 28
m(slope) = 28(change in y) / 1 (change in x)
= 28

4 0

4 years ago

You know how to play 21 songs on your guitar. (a) If you want to choose 8 of the songs to make a setlist to play for a small gat

UNO [17]

Answer:

(a) 8,204,716,800

(b) 5,985

Step-by-step explanation:

Combinations and Permutations

Combinatorics is the part of the discrete mathematics that studies the enumeration of groups or sorting of a determined number of elements. The concept of combinations is tied to the different forms to group elements where the order of their arrangements is not important or does not differentiate from the very same set of elements picked in a different order.

The concept of combinations is tied to the differents forms to group elements where the order of their arrangements is not important or does not differentiate from the very same set of elements picked in different order.

On the other hand, permutations or variations are sets selected in a specific order and another set with the same element but in different order is considered a different set.

If we have n elements available to pick from in sets of m elements each, there can be C(n,m) different combinations, and it's given by

$\displaystyle C(n,m)=\frac{n!}{m!(n-m)!}$

Similarly the number of permutations is given by

$\displaystyle P(n,m)=\frac{n!}{(n-m)!}$

(a) I have n=21 songs to pick from and I want to choose m=8 of them where the order matters, so it's a permutation:

$\displaystyle P(21,8)=\frac{21!}{(13)!}=\frac{51,090,942,171,709,440,000}{6,227,020,800}=8,204,716,800$

I can make more than 8 billion different setlists

(b) To choose m=4 songs from n=21 songs where the order does not matter, we compute the combination

$\displaystyle C(21,4)=\frac{21!}{4!(17)!}=\frac{21\cdot 20\cdot 19\cdot 18\cdot 17!}{4\cdot 3\cdot 2\cdot 1(17)!}$

$\displaystyle C(21,4)=\frac{143,640}{24}=5,985$

I can make almost 6,000 sets of 4 songs

5 0

3 years ago