If a man has $1500 in the bank and the annual interest rate is 5%, how much money will he have in the bank after 1 year?

Answer:

x=9

Step-by-step explanation:

y=3x+18=5x

thus 3x+18=5x

subtract 3x from both sides     18=2x

simplify for x       x=9

The required solution to the given system of equations is (x, y) = (9, 45).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The system of equations is given the question as:

y = 3x + 18

y = 5x

To solve this system of equations by substitution, we can start by substituting the equation y = 3x + 18 into the second equation, which gives us:

5x = 3x + 18

Then we can solve this equation for x:

2x = 18

x = 9

Now that we have found the value of x, we can substitute it back into either of the original equations to find the value of y:

y = 3x + 18 = 3(9) + 18 = 27 + 18 = 45

Therefore, the solution to the system of equations is (x, y) = (9, 45).

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Answer:

6x³ - 19x² + x + 6

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(x - 3)(2x + 1)(3x - 2)

Step 2: Expand

Answer:

trapezoid

Step-by-step explanation:

Answer:

b=15

Step-by-step explanation:

Answer:

26,400

Step-by-step explanation:

Answer:

2 8c+3

Step-by-step explanation:

Answer:

8c+3

Step-by-step explanation:

for #2

Answer:

D

Step-by-step explanation

18/15=1.2

21/1.2=17.5

They Match!

Answer:

i dont know just trying to get pionts haha sorry rihana

Step-by-step explanation:

Answer:

a = 1.5, b = 1.75

Step-by-step explanation:

Expand the right side using FOIL, then compare the coefficients of like terms with the expression on the left side.

(x + a)² + b

= x² + 2ax + a² + b , then compare to

x² + 3x + 4

Comparing the coefficients of the x- terms

2a = 3 ( divide both sides by 2 )

a = 1.5

Comparing the constant terms

a² + b = 4

1.5² + b = 4

2.25 + b = 4 ( subtract 2.25 from both sides )

b = 1.75

Answer:

:)

Step-by-step explanation:

The answer is ≈1761.76886

Answer:

[tex]\boxed {\boxed {\sf \$300.00}}[/tex]

Step-by-step explanation:

The formula for simple interest is:

[tex]I=P*R*T[/tex]

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.

We must convert the interest rate to a decimal.

Now we know all the values.

[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]

Substitute the values into the simple interest formula.

[tex]I= (2500)(0.06)(2)[/tex]

Multiply.

[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]

The simple interest is $300.00

[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]

[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]

[tex] \sf• \: Time \: (t) = 2 \: years[/tex]

[tex] \\[/tex]

[tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]

[tex] \\ [/tex]

[tex] \sf We \: know \: that, [/tex]

[tex] \red {\bigstar\bf { \: I = prt}}[/tex]

[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]

[tex]⟹I = 300[/tex]

[tex] \\ [/tex]

[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

[tex]y\leq 40-x[/tex]....(1)

[tex]y\leq x-20[/tex]...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

[tex]y=-x+40[/tex]...(3)

[tex]y=x-20[/tex]...(4)

Adding equation (3) and (4) we get

[tex]2y=20[/tex]

[tex]y=10[/tex]

Substitute y=10 in equation (3) we get

[tex]10=40-x[/tex]

[tex]x=40-10=30[/tex]

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

[tex]y=40[/tex]

Substitute y=0 in equation (3)

[tex]x=40[/tex]

Substitute x=0 in equation (4)

[tex]y=-20[/tex]

Substitute y=0 in equation (4)

[tex]x=20[/tex]

Substitute x=0 and y=40 and in equation (1)

[tex]40\leq 40[/tex]

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

[tex]-20\leq -20[/tex]

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

Answer: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 20.

Step-by-step explanation:

Answer:

Step-by-step explanation:

25% it means 1/4 of the total

1/4 of 80 is 20 (80/4=20)

answer B

Answer:

The equation is, [tex]5x+3y=82[/tex].

Step-by-step explanation:

Let [tex]x[/tex] represent the cost of small wreaths.

So, the cost of [tex]5[/tex] small Christmas wreaths [tex]=5x[/tex].

Let [tex]y[/tex] represent the cost of large wreaths.

So, the cost of [tex]3[/tex] large Christmas wreaths [tex]=3y[/tex].

On Monday, [tex]5[/tex] small Christmas wreaths and [tex]3[/tex] large Christmas wreaths are sold for a total of [tex]\$82[/tex].

The equation is, [tex]5x+3y=82[/tex].

Answer: x = -3

Step-by-step explanation:

-3x = 9

9 ÷ -3 = -3

:)

Answer:

x = -3

Step-by-step explanation:

-3x = 9

9 divide by -3 = -3

Answer:

300°

Step-by-step explanation:

a° is 180°

c° is 120° (from 180° = 60° + c°)

Answer:

[tex]63[/tex]

Step-by-step explanation:

Let number of nickels be [tex]x[/tex]

Number of dimes be [tex]y[/tex]

Number of quarters be [tex]z[/tex]

Total number of coins is [tex]185[/tex]

[tex]x+y+z=185[/tex]

Number of dimes is 5 more than quarters

[tex]y=5+z[/tex]

[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]

Amount of money in the jar is $25.25

[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]

[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]

[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]

[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]

So, the number of quarters is [tex]63[/tex].

Answer:

63 is the correct answer :)

Step-by-step explanation:

Answer:

c. 5

Step-by-step explanation:

678 rounds to 700 and 218 rounds to 200. 700-200=500

6. yes, if line was originally in the top right quadrant you could lower y intercept so that it no longer goes through top right

Answer:

your just finding area so

1.5×2.5=

1.5×1.5/2=

1.5×2.5=

I will put the answers in the comments I need to use a calculator

Answer:

Step-by-step explanation:

Think of it as two rectangles and one triangle.

The first rectangle is 1.5 * 2.5 = 3.75 square feet.

There is two of these rectangles, so you can do 3.75 *2 = 7.5 square feet.

Finally, the triangle is 1.5 by 1.5, so the area is 1.5 * 1.5 / 2 = 1.125.

To find the total area, add the two together: 7.5 + 1.125 = 8.625 square feet

Answer:

B is your correct answer

Step-by-step explanation:

The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.

First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:

x = 1/2y + 2

x - 2 = 1/2y

2x - 4 = y

So, the inverse function is f⁻¹(x) = 2x - 4.

Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).

Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.

We can start by plugging in y = 2 into the equation for f⁻¹(x):

y = 2x - 4

2 = 2x - 4

6 = 2x

x = 3

So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

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Answer:

2.5

Step-by-step explanation:

15-10=5

5/2=2.5

Answer:

1 time :)

Step-by-step explanation:

Answer:

It can only go into 8 once

8÷5=1.6

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

I did this on desmos I hope it helps