Trey needs to invest to help with his child's college fund. How much would he have to invest to have $89,600 after 14 years, assuming an interest rate
of 2.15% compounded monthly?
Do not round any intermediate computations, and round your final answer to the nearest dollar.

Answer:

114 marbles.

Step-by-step explanation:

Let the number of red marbles be r

Let the number of black marbles be b

Given the following data;

Total number of marbles = 120

Translating the word problem into an algebraic equation, we have;

[tex] r = 19b[/tex] .......equation 1

[tex] r + b = 120[/tex] ........equation 2

Substituting the value of "r" into equation 2, we have;

[tex] 19b + b = 120[/tex]

[tex] 20b = 120[/tex]

[tex] b = \frac {120}{20}[/tex]

b = 6 marbles.

To find the number of red marbles;

From equation 1;

[tex] r = 19b[/tex]

Substituting the value of "b" into equation 1, we have;

[tex] r = 19*6[/tex]

r = 114 marbles.

Therefore, there are 114 red marbles in the bag.

Answer:

1 -> 12s

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

$0.09 will he have left after buying the greatest number of sunglasses and beach balls.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Model Inequality:  4x + 2.5x ≥  45.

Now, solving for inequality

4x + 2.5x ≥  45.

(4 + 2.5)x ≥ 45

6.5x ≥ 45

x ≥ 45/ 6.5

x≥ 6.92

x≥ 7 (approx)

So, the max price for sunglasses and beach balls = 4(6.92)+ 2.5(6.92)

                                                                                   = $44.91

Thus, the left money is = 45- 44.91 = $ 0.09

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Answer:

0

Step-by-step explanation:

Thx

(6)^2(-2x+1)=(6)³

evaluating the power of both sides as having same base (6)

2-4x=3

2-3=4x

x=-0.25

The solution of the expression for the value of x is -0.25.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is [tex]36^{(-2x+1)}=216[/tex]

The expression can be written as:-

[tex](6)^{(2)(-2x+1)}=(6)^3[/tex]

Evaluating the power of both sides as having the same base (6)

2-4x = 3

2-3 = 4x

x = -0.25

Hence, the value of x is -0.25.

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The solutions to the given quadratic equation are x=11 and x=-3.

The given quadratic equation is x²-8x-33=0.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

By using splitting middle term method, we get

x²-11x+3x-33=0

x(x-11)+3(x-11)=0

(x-11)(x+3)=0

(x-11)=0 and (x+3)=0

x=11 and x=-3

Therefore, the solutions to the given quadratic equation are x=11 and x=-3.

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Answer:

A

Step-by-step explanation:

A = 71 so then EG = 91

Answer:

2.02

Step-by-step explanation:

also you can do these on just a calculator :D

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

A squared+b squared=c squared

5 squared+2 squared=c squared

25+4=29

The square root of 29 is C.

The order would be 2, 5, the square root of 29

(Hope this helped! If u dont mind, can u mabey give brainliest to me? <3)

Using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.

Pythagorean triples are a²+b² =c² where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

Given that, x=8 and y=3.

The formula is (x²+ y²)²= (x² - y²)² + (2xy)²

Now, (8²+ 3²)²= (8² - 3²)² + (2×8×3)²

(64+9)²=(64-9)² +(48)²

73²=55²+48²

5329=5329

Therefore, using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.

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"Your question is incomplete, probably the complete question/missing part is:"

The identity (x²+ y²)²= (x² - y²)² + (2xy)² can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?

Answer:

No, it is physically impossible to put your tongue in a knot.

Step-by-step explanation:

Answer:

8 ounce

Step-by-step explanation:

The 30 ounce container costs $0.30 per ounce. The 15 ounce container is $0.33 per ounce. The 8 ounce container is $0.25 per ounce. Therefore, the 8 ounce container costs less per each ounce.

Answer:

18

Step-by-step explanation:

Answer:

40% of people would buy the car again.

Hope this helps!

Step-by-step explanation:

Answer:

They spend four nights

Step-by-step explanation:

Divide 483.40 by 120.85

Answer:

60 m worth?

Step-by-step explanation:

5×12

Answer:

The value of n:

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

Using the formula to find the slope of the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]

[tex]m=\frac{4}{8-n}[/tex]

as

m = 6

substituting m = 6

[tex]6=\frac{4}{8-n}[/tex]

[tex]6\left(8-n\right)=4[/tex]

Divide both sides by 6

[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]

[tex]8-n=\frac{2}{3}[/tex]

subtract 8 from both sides

[tex]8-n-8=\frac{2}{3}-8[/tex]

simplify

[tex]-n=-\frac{22}{3}[/tex]

Divide both sides by -1

[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]

[tex]n=\frac{22}{3}[/tex]

Therefore, the value of n:

Answer:

Parallel

Step-by-step explanation:

Slopes of the line

Answer:

Answer 120.15 minutes long

Step-by-step explanation:

Answer:

129.00m

Step-by-step explanation:

1h=60m

2.15=x

2.15h×60m=1h×x

129m×h=1h×x divided both side by 1h

129m=x

Answer:

63/9=7

6.3/0.9=7

0.63/0.09 = 7

Step-by-step explanation:

Answer:

0.09=9\100

Step-by-step explanation:

Im sure it's -3    Because well thats what  i got

Answer:

The answer is 50x + 70

Step-by-step explanation:

I am happy to help. An expression has no equal sign. We don't know how much the electrician will charge Laura. But we do know how much hours the job is. Laura also has to pay for the electrical parts that are 20 dollars and 50 dollars for a new ceiling fan. This is an additional cost. In all, the expression would be 50x + 70, if it is simplified. You would add like terms, such as 20 and 50 to get 70.

Answer:

The value of x is 5

Step-by-step explanation:

5 x 2 = 10

x= ±[tex]\sqrt{10} =[/tex] ± 3.1623

x = 5