How many years will it take an initial investment of $25,000 to triple to $75,000 at an annual rate of 7% compounded continuously

Answer:

x = 2

y = 0

Step-by-step explanation:

x - y = 2

2x + 3y = 4

Using creamers rule of determinants, we have;

D =

|1 1|

|2 3|

Thus; D = (1 × 3) - (1 × 2)

D = 1

Dx =

|2 1|

|4 3|

Dx = (2 × 3) - (1 × 4)

Dx = 2

Dy =

|1 2|

|2 4|

Dy = (1 × 4) - (2 × 2)

Dy = 0

Thus;

x = Dx/D = 2/1

x = 2

y = Dy/D = 0/1

y = 0

Answer:

Step IV; Tommy must set the quadratic expression equal to 0 before factoring.

plz give brainlyest

It is found that in Step IV; Tommy must set the quadratic equations equal to 0 before factoring and then solving.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given that the system of a linear equation and a quadratic equation.

2x – y = –1

x² – 5x – y = –7

Now Tommy had completed the following steps in his algebraic solution process but could not factor the resulting quadratic equation as;

x²  – 7x – 1,

Step I: y = 2x + 1

Step II: x²  – 5x – (2x + 1) = –7

Step III: x²  – 5x – 2x – 1 = –7

Step IV: x²  – 7x – 1 = –7

Therefore, we conclude that in Step IV; Tommy must set the quadratic equations equal to 0 before factoring and then solving.

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In one week he's made $1,500

Answer:

1,500 fffffffffffffffffffffffffffffffff

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

1620.

Answer:

5%

Step-by-step explanation:

90/1800 = x/100

0.05 = x/100

0.05 * 100 = x

5 = x

1.800 * 5% = 90

Answer:

B. -14

Step-by-step explanation:

sana maka tulong ako sayo

at ano ba ang grade nyo

Answer:

70+120/100x70(1+100/100)=(100/100+120/100)= 220/100 hope helps you

Step-by-step explanation:

Answer:

154 dollary doooos

Step-by-step explanation:

Answer:

1L of 30% fertilizer and 9L of 10% fertilizer

Step-by-step explanation:

Let x = the amount of fertilizer containing 30% nitrogen.

Let y = the amount of fertilizer containing 10% nitrogen

x + y = 10 because the two fertilizers together will be 10L

0.3x will be the amount of nitrogen in the 30% nitrogen fertilizer, and 0.1y will be the amount of nitrogen in the 10% fertilizer. If you add those together, you will get 12% of the nitrogen in the 10L mixture. This makes this equation:

0.3x + 0.1y = 0.12(10)

0.3x + 0.1y = 1.2

Now we have our two equations.

x + y = 10

0.3x + 0.1y = 1.2

We can use substitution to solve this system of equations.

x = 10 - y

Substituting this into the second equation, we have:

0.3(10-y) + 0.1y = 1.2

3 - 0.3y + 0.1y = 1.2

3 - 0.2y = 1.2

1.8 = 0.2y

9 = y

10 - 9 = 1L

There will be 9L of 10% nitrogen fertilizer and 1L of 30% nitrogen fertilizer.

Answer:

What are the choices?

Step-by-step explanation:

Answer:

y-100

x-250

Step-by-step explanation:

because the lines are insecting the other lines on that line

Answer:

A, B, C,

Step-by-step explanation:

Just use a calculator...?

a)

[tex]2^-^2*2^8=\frac{1}{2^2}*2^8=\frac{2^8}{2^2}=2^8^-^6=2^6=64\\[/tex]

b)

[tex]3^-^5*3^1=\frac{1}{3^5}*3=\frac{3}{243}=\frac{1}{81}[/tex]

c)

[tex]4^4*4^-^3=\frac{4^4}{4^3}=4^1=4[/tex]

d)

[tex]5^3*5^-^1=\frac{5^3}{5^1}=5^2=25[/tex]

e)

[tex]6^-^8*6^-^6=\frac{6^6}{6^8}=6^-^2=\frac{1}{6^2}=\frac{1}{36}[/tex]

f)

[tex]8^2*8^-^4=\frac{8^2}{8^4}=8^-^2=\frac{1}{8^2}=\frac{1}{64}[/tex]

Answer:

4,5,6

Step-by-step explanation:

A midsegment connects two midpoints, and this triangle would be made up of all midsegments.  If we know that midsegments are half of the side length, then we can get our answer.

Answer:

1/3

Step-by-step explanation:

11/18 - 4/9 + 1/6

= 1/6 + 1/6

= 1/3

The value of the fraction is 1/3.

PEMDAS rule is the same as BODMAS rule.

PEMDAS is the abbreviation for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.

Given fraction is : (11/18 - 4/9) + 1/6

We have a parenthesis (brackets) in the given expression. First solve the operations inside the bracket.

And multiply the fraction 4/9 with 2 on both numerator and denominator.

(11/18 - 4/9) + 1/6 = (11/18 - 8/18) + 1/6

                           = 3/18 + 1/6

There is only an operation of addition left.

Multiplying both numerator and denominator of 1/6 with 3,

(11/18 - 4/9) + 1/6 = 3/18 + 3/18

                           = 6/18

                           = 1/3

Hence the value of the fractional expression given is 1/3.

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Answer:

D.

Step-by-step explanation:

Answer:

this person is right the answer is D

Step-by-step explanation:

have a good day good luck on the test

edg 2022

Answer:

E is short for 10^x. The number that comes after the E is the power of 10.

So its 7.6*10^12

now that scientifically notation

For standard your gonna need to simplify that

so we know 10^12 is 1000000000000

Multiply the 7.6

7600000000000

hope I helped :)

Answer:-1 and 3

Step-by-step explanation:

Took it on edge :)

The required solution of the given equation is (3, -1) which is the correct option (C).

The quadratic function is defined as a function containing the highest power of a variable is two.

The equation is below represented by the system shown here.

2x² - 3x - 2 = x + 4

Rearrange the terms of variables and constants in the above equation

2x² - 3x - 2 - x - 4 = 0

Apply the arithmetic operation in the likewise terms,

2x² - 4x - 6 = 0

2x² - 6x + 2x - 6 = 0

2x(x - 3) + 2(x - 3) = 0

(x - 3)(2x + 2) = 0

(x - 3) = 0 and (2x + 2) = 0

x = 3 and 2x = - 2

x = 3 and x = - 1

Therefore, the required solution of the given equation is (3, -1).

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C    

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When subtracting a negitive number from a positive number the difference ends up being a positive. The answer is 7, therefore, greater than 4.

Answer:

hope this helps

Step-by-step explanation:

3+x=x²+3x

Simply the equations.

= x+3=x²+3x

Subtract x²+3x from both sides.

x+3−(x²+3x)=x2+3x−(x²+3x)

−x2−2x+3=0

Factor left side of equation.

(−x+1)(x+3)=0

−x+1=0 or x+3=0

Answer:

x=1 or x=−3

Step-by-step explanation:

–(11/4) = 11 : (–4) = –11/4 = 11/-4

The requried distance run and swam by the lifeguard is 100 - x. and √[x² + 80²] respectively.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The question seems to be incomplete, there must be a figure that illustrates the situation,

Since, as of the given data, he might run x distance less toward the east as of the 100 feet east, and than swim, the distance is given as,
= √[x² + 80²].

And the distance run  = 100 - x.

Thus, the requried distance run and swam by the lifeguard is 100 - x. and √[x² + 80²] respectively.

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Answer:

Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.

Step-by-step explanation:

Answer:

xfgn  

Step-by-step explanation:

Answer: X = 4

Step-by-step explanation:

TS/FS = SU/SG

3x-2/5 = 6/3

3(3x-2) = 6* 5

9x - 6 = 30

9x -6 + 6 = 30 + 6

9x = 36

x = 36/ 9

x = 4

Answer:

[tex]x = \frac{9}{6}[/tex]

Step-by-step explanation:

The first step is figuring out what the scale factor is

       since [tex]2 \overline{\rm US} = \overline{\rm GS}[/tex] we know the scale factor is two

The second step is setting up the equation then solving the equation

       [tex]2(3x -5) = 5[/tex]

       [tex]6x - 4 = 5[/tex]

       [tex]6x = 9[/tex]

       [tex]x = \frac{9}{6}[/tex]

Answer:

f(x) = (x+10)^2 - 4

Step-by-step explanation:

vertex form is y = a(x-h)^2+k

to complete the square, we want to add a number on both sides so x^2+20x+whatver the number is, is the square of something

to find that number take 20, divide by 2, and then square it to get 100.

so, you would get f(x)+100 = x^2+20x+100+96

subtract 96 on both sides: x^2+20x+100 = f(x) + 4

factor: f(x) = (x+10)^2 - 4

Answer:

The solution to the system of equations be:

[tex]y=4,\:x=0[/tex]

As the consistent system of equations has only one solution, it is independent.

Step-by-step explanation:

Given the system of equations

[tex]3y + 2x= 12[/tex]

[tex]36 - 9y = -6x[/tex]

solving the system of equations

[tex]\begin{bmatrix}3y+2x=12\\ 36-9y=-6x\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}3y+2x=12\\ -9y+6x=-36\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}3y+2x=12\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:9y+6x=36[/tex]

[tex]\begin{bmatrix}9y+6x=36\\ -9y+6x=-36\end{bmatrix}[/tex]

so

[tex]-9y+6x=-36[/tex]

[tex]+[/tex]

[tex]\underline{9y+6x=36}[/tex]

[tex]12x=0[/tex]

[tex]\begin{bmatrix}9y+6x=36\\ 12x=0\end{bmatrix}[/tex]

solve 12x=0 for x

[tex]12x=0[/tex]

Divide both sides by 12

[tex]\frac{12x}{12}=\frac{0}{12}[/tex]

[tex]x=0[/tex]

[tex]\mathrm{For\:}9y+6x=36\mathrm{\:plug\:in\:}x=0[/tex]

[tex]9y+6\cdot \:0=36[/tex]

[tex]9y=36[/tex]

Divide both sides by 9

[tex]\frac{9y}{9}=\frac{36}{9}[/tex]

[tex]y=4[/tex]

Thus, the solution to the system of equations be:

[tex]y=4,\:x=0[/tex]

As the consistent system of equations has only one solution, it is independent.

Answer:

f(-5)=-9

Step-by-step explanation:

f(x)=y

So knowing that -5 is equal to x plug it in

y=(2)(−5)+1

y=−9

If you have more questions just ask.

Answer:

x = 25.5

Step-by-step explanation:

Since there is a pair of parallel lines and a line cutting across the lines, ∠5 and ∠12 are interior angles and add up to 180°.

∠5 + ∠12 = 180°

5x - 11 + x + 38 = 180

Evaluate like terms.

6x + 27 = 180

Isolate 6x.

6x = 180 - 27

    = 153

Find x.

x = 153 ÷ 6

x = 25.5