polynomials functions please help

If the repayment on a loan was Php 23600, the principal amount is equal to Php 131,111.11.

Given the following data:

Conversion:

12 months = 1 year

18 months = 1.5 year

To calculate the principal amount if the interest rate is 12% a year:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

Making P the subject of formula, we have:

[tex]P = \frac{100S.I}{RT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P = \frac{100 \times 23600}{12 \times 1.5}\\\\P = \frac{2360000}{18}[/tex]

Principal amount, P = Php 131,111.11

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6) The equation given is written in standard form of writing the equation of a line y = mx + b

Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line

7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.

From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)

8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0

28m + 100 > 0

28m > -100

m > -100/28

m > --25/7

The domain is m > -25/7 while the range is c(m) > 0

9) The comparing the equation with y = xm+ b

where x is the slope

28m = mx

x = 28

This shows that the rate of change of cost per member is $28

The y-intercept is the point where the number of months is 0

If m = 0

c(0) = 28(0) + 100

c(0) = 100

The initial cost of membership in the first month is $100

10) Given the formula c(m) = 28m + 100

For a whole year, m = 12

c(12) = 28(12) + 100

c(12) = 336 + 100

c(12) = 436

Hence the membership will cost $436 for the whole year

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Answer:

Solution:

formula: Surface Area of a Sphere: 4π · r²

Surface area = 4π · r²

SA = 4(3.14) (10)²

SA =  (12.56)(100)

SA = 1,256

The solution to the given equation is x = [tex]305\frac{11}{45}[/tex].

The given equation is 45(x-310)=-214.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

By using distributive property, we get

45x-13950= -214

45x=-214+13950

45x=13736

x=13736/45

x=[tex]305\frac{11}{45}[/tex]

Therefore, the solution to the given equation is x = [tex]305\frac{11}{45}[/tex].

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Answer: P1: 17.61 P2: 14.66

Step-by-step explanation:

P1: take total divide by how many numbers used : 229 divided by 13 =17.61

P2: take total divide by how many numbers used : 88 divided by 6= 14.66

Answer:

A trust could protect them. Buying liability insurance or an umbrella policy will also help protect assets in case you get sued.

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

Answer:

it represent the 10 pound and 4000 multiply = ans

Answer/Step-by-step explanation:

We start with the variable "x". Let's call "x" Dan's full tank.

So we know that right now he has 1/5x or 1/5 of a full tank.

After adding 13 gallons, at the end, he has 7/10x, or 7/10 of a full tank

So we start with

(1/5)x + 13 = 7/10x

Let's subtract 1/5x from both sides

13 = 7/10x - 1/5x

Remember, we need to use common denominators to subtract, so 1/3 becomes 2/10

13 = 7/10-2/10x

Now we simplify to get

13 = 5/10x

Multiply the reciprocal of 5/10 to both sides which is 10/5

13 * 10/5= x

Answer is 26 gallons.

Therefore, Deon's tank can hold 26 gallons.

Answer:

26 gallons.

Step-by-step explanation:

7/10 - 1/5

= 7/10 - 2/10

= 5/10 = 1/2.

So the tank holds 2*13 = 26 gallons.

Answer:

y+3=1/5(x+4)

Step-by-step explanation:

Hi, I would recommend that you memorize the point slope formula, as it comes up often in later grades.

Point slope formula is y - y1 = m * (x - x1)

and so since we're given the slope (m), we simply plug it in.

y - y1 = 1/5 * (x - x1)

then we would plug in our x and y

(-4,-3)--> -4 is the x and -3 is the y

y+3=1/5(x+4) double negatives= a positive.

Let me know if you have any questions in the comment ;)

I just answered the second one on your last published question , so I'm solve the first one :

[tex]2x - y \leqslant 5[/tex]

[tex]x + 2y > 2[/tex]

There are two ways to find the answer I just do it in one of them but let me know if u wanna know the other way .

I'm gonna use the options to see which ordered pair is true in both inequalities which is the answer we r looking for :

Option 1 : ( 1 , - 1 )

[tex]2(1) - ( - 1) \leqslant 5[/tex]

[tex]1 + 2( - 1) > 2[/tex]

So ,

[tex]3 \leqslant 5 \: \: \: \: \: true[/tex]

[tex] - 1 > 2 \: \: \: \: \: false[/tex]

So this is not the correct option ..

_____________________________________________

Option 2 : ( 4 , 1 )

[tex]2(4) - 1 \leqslant 5[/tex]

[tex]4 + 2(1) > 2[/tex]

So,

[tex]7 \leqslant 5 \: \: \: \: false[/tex]

[tex]6 > 2 \: \: \: \: true[/tex]

Nope ...

_____________________________________________

Option 3 : ( 2 , 0 )

[tex]2(2) - 0 \leqslant 5[/tex]

[tex]2 + 2(0) > 2[/tex]

So,

[tex]4 \leqslant 5 \: \: \: \: true[/tex]

[tex]2 > 2 \: \: \: \: \: false[/tex]

Nope....

_____________________________________________

The answer must be Option 4 bcuz there's no more options left but let's check it out :

Option 4 : ( 3 , 2 )

[tex]2(3) - 2 \leqslant 5[/tex]

[tex]3 + 2(2) > 2[/tex]

So,

[tex]4 \leqslant 5 \: \: \: \: \: true[/tex]

[tex]7 > 2 \: \: \: \: true[/tex]

There it is ....

Answer:

S.I = P x R x T / 100

Step-by-step explanation:

therefore 8000 x 7 x 5 / 100 = 280000/ 100

= 2800

Answer: the answer is line 2

Step-by-step explanation:

Answer:

26 is the quotient

Step-by-step explanation:

7 * 26 = 182

im not good at explaining but that's the answer

Answer: 7

The prime numbers here are 3, 5, 7, and 11. This means that 9 is not prime. Since 7 +2 is 9, this disproves that m + 2 is also prime.

Would appreciate brainly <3

Answer:

true

Step-by-step explanation:

because you can start at zero and go on forever adding twos but it'll still be the same

Answer:

i think its the 3rd option

Step-by-step explanation:

i'd'k what it is but you can read it over and over again

(p.s Brainleist?)

Answer:

x=22/3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

2x - y = 4

x + y = 5

y = 5 - x

2x - (5 - x) = 4

2x + x - 5 = 4

3x = 9

x = 3

[tex]T =\dfrac 5{V+1}\\\\\\\implies VT+T = 5\\\\\implies VT = 5-T\\\\\implies V =\dfrac{5-T}T[/tex]

Step-by-step explanation:

One way we can make V the subject of the formulas by rearranging the terms mathematically to get V on one side of the equation and the other terms on the other side:

since       T = 5 ÷ (V + 1)          [multiply both sides by (V+1)]

    T (V + 1) = 5                        [divide both sides by T]

       (V + 1) = 5 ÷ T                  [subtract 1 from both sides]

              V = (5 ÷ T) - 1    OR   [tex]V = \frac{5}{T} - 1[/tex]

If we want the RHS with over a single denominator we can write it as

  V = (5 ÷ T) - (T ÷ T)       [rewrite 1 in terms of T (T/T)]

  V = (5 - T) ÷ T   OR  [tex]V = \frac{5 - T}{T}[/tex]

Answer:

A.) [tex]f(x)=25x+40[/tex]

Step-by-step explanation:

Answer:

[tex]f(x)=25x+40[/tex]

Step-by-step explanation:

Hope this helps

Answer:

[tex]\frac{a}{3} =b[/tex]

Step-by-step explanation:

a = 2a - 3b

→ Minus 2a from both sides

-a = -3b

→ Multiply everything by -1

a = 3b

→ Divide both sides by 3

[tex]\frac{a}{3} =b[/tex]

Answer:

b = 2/3a -1/3A

Step-by-step explanation:

A=2a-3b

Subtract 2a from each side

A-2a=2a-2a-3b

A -2a = -3b

Divide each side by -3

A/-3  -2a/-3 = -3b/-3

-A/3 + 2/3a = b

b = 2/3a -1/3A

Answer:

The slope is -4. The amount of money left goes down by 4 with each comic book.

Step-by-step explanation:

The answer is D

Answer:

y+9 = 2(x+3)

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

have a great day! feel free to mark as brainliest! :)

Answer:

There are none.

Step-by-step explanation:

No calculus involved:

The line, in slope-intercept form, has equation [tex]y=-10x+17[/tex], ie is always decreasing (easy to spot applying the definition)

Meanwhile, [tex]y=e^{5x}[/tex] is always increasing over its domain.

At no point the tangent will be decreasing.

Let's use calculus

We are to solve the equation [tex]y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2[/tex] which has no real solutions.

Answer:

127/64  

Step-by-step explanation:  

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64  

add all the given and it will result to 127/64

Answer:

Rate is 9 kilometers (km)/week.

Step-by-step explanation:

9000 meters is 9 km (divide m by 1000 to get km)