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3 years ago

Help my brother MK :)

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

7 0

The answer should be 1/12

Ahat [919]3 years ago

5 0

Answer:

1/12 of the original amount

Step-by-step explanation:

All you need to do is multiple 1/3 (the fraction left over) by him and his friends (4).

1/3x1/4=1/12

You make 4 into 4/1 and then flip it making it 1/4 since we are dividing.

The final answer is 1/12.

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1. Two thousand dollars is invested at 5.5 percent interest compounded

Dafna11 [192]

Two thousand dollars is invested at 5.5 percent interest compounded

quarterly for 2 years. Then the amount is $ 2230.88

<u>Solution:</u>

Given that Two thousand dollars is invested at 5.5 percent interest compounded quarterly for 2 years

<em><u>The formula for amount using compounded quarterly is given as</u></em>:

$\text { Amount }=P\left(1+\frac{R / 4}{100}\right)^{4 T}$

Where, "p" is the principal sum

"R" is the rate of interest

"T" is the number of years

Here in this problem,

P = 2000 ; R = 5.5 ; T = 2 years

Plugging in values in formula we get,

$\text {Amount}=2000\left(1+\frac{\frac{5.5}{4}}{100}\right)^{4 \times 2}$

$=2000\left(1+\frac{1.375}{100}\right)^{8}$

On solving we get,

$=2000(1+0.01375)^{8}=2000(1.11544)=2230.88$

Hence the amount is $ 2230.88

4 0

3 years ago

The yield of orange trees is reduced if they are planted too close together. If there are 30 trees per acre, each tree produces

Tanya [424]

Answer:

5 more than 30 trees should be planted, for a total of 40 trees per acre.

Step-by-step explanation:

Let x be the number of trees beyond 30 that are planted on the acre

The number of oranges produced = Oranges(x) = (number of trees) (yield per tree)

We are given that For each additional tree in the acre, the yield is reduced by 7 oranges per tree

So, number of oranges produced = $(30 + x)(400 -10x)$

= $12000 -300x+400x-10x^2$

= $12000 + 100x-10x^2$

The derivative Oranges'(x) = 100-20x

Substitute first derivative equals to 0

$100-20x =0$

$x=5$

Using the second derivative test,

Oranges"(x) = -20

20 is negative,

So, this is the case of maximum.

Thus, 5 more than 30 trees should be planted, for a total of 40 trees per acre.

4 0

3 years ago

Here is a system of linear equations: y = 3x + 4 y = 3x - 7 How many solutions, if any, does this system have?

marysya [2.9K]

Answer:

Step-by-step explanation:

y = 3*x + 4

y = 3*x - 7

Each one of the above equations is the equation for a straight line.

The solution for such a system is the point P ( x₀ , y₀ ) which coordinates belong to both straight lines. According to this, there is only one solution for that system ( only one point of intersection). The intersection of a pair of straight lines either can occur or not depending on the slope of the lines, if they have the same slope they are parallel, then they did not touch each other ever. How can m, be identified in the straight line equation??, just by looking at the coefficient of x.

The two equations have slope 3 they are parallel then there is not a solution ( there is not a common point to both equations)

7 0

2 years ago

A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?

Vlad [161]

<h3>Answer: Choice C) 31</h3>

==============================================

Explanation:

The recursive rule

f(n+1)=f(n)-3

can be rearranged to

f(n) = f(n+1)+3

after adding 3 to both sides

----------------

Now let's say we plug in n = 3

f(n) = f(n+1)+3

f(3) = f(3+1)+3

f(3) = f(4)+3

f(3) = 22+3

f(3) = 25

Repeat for n = 2

f(n) = f(n+1)+3

f(2) = f(2+1)+3

f(2) = f(3)+3

f(2) = 25+3

f(2) = 28

Each time we keep adding 3 to get the previous term (since the original recursive rule says to subtract 3 to get the next term; we just go backwards of what the instructions say).

Lastly, we can find that f(1) = f(2)+3 = 28+3 = 31 making the answer to be choice C.

5 0

3 years ago

Rao is x years old now and Pau is 12 years older than Rao. In two years Pau will be exactly twice as old as Rao is then. How old

Ratling [72]

Rao is 5 years old. In two years he will be 7 and Pau will be 14. Now minus 2 by 7 and you get 5.

6 0

3 years ago