4. Solve the word problem using the interest table
and the Annual Payroll Period table.
Connie invested $3,250 in a regular savings account that
paid compound interest at a rate of 7.5% per year,
compounded monthly. How much was her investment worth
in five years?
$4,723.21
$14,625
$243.75
$1,218.75
$4,468.75
Solve the word problem using the interest table​

Answer:

[tex]2.5[/tex]

Step-by-step explanation:

The given radical expression is

[tex](2+\sqrt{-\frac{3}{2} }) (2-\sqrt{-\frac{3}{2} })[/tex]

Observe that, the given expression can be written as difference of two squares.

That is; [tex](x+y)(x-y)=x^2-y^2[/tex]

We apply this property to obtain:

[tex](2+\sqrt{-\frac{3}{2} }) (2-\sqrt{-\frac{3}{2} })=2^2-(\sqrt{-\frac{3}{2} })^2[/tex]

We now simplify to get:

[tex](2+\sqrt{-\frac{3}{2} }) (2-\sqrt{-\frac{3}{2} })=4-\frac{3}{2}[/tex]

This simplifies to:

[tex](2+\sqrt{-\frac{3}{2} }) (2-\sqrt{-\frac{3}{2} })=\frac{5}{2}=2.5[/tex]

Answer:

33.75

Step-by-step explanation:

find 35 % of 25 then add that to 25.

He sold the ticket at $33.75.

Markup is the amount by which a product is sold above its cost price.

It is given that

Cost Price of the ticket is $25

Selling price = ?

Markup = 35%

Selling Price = 1.35 * 25 = $33.75

Therefore he sold the ticket at $33.75.

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Answer:

6 minutes

Step-by-step explanation:

There are two ways you can simplify this problem:

1. change the dimensions to 3 dm × 3 dm × 5 dm, because 1 L = 1 dm³

2. Adjust the 5 dm dimension to 4/5 that value: 4 dm. Then you're filling a whole volume that is 3 dm × 3 dm × 4 dm = 36 dm³ = 36 L.

__

At the rate of 6 L/min, the tank will be filled to the desired level in ...

(36 L)/(6 L/min) = 6 min . . . . and 0 seconds

_____

A decimeter is 0.1 m = 10 cm, so 1 cubic decimeter is (10 cm)³ = 1000 cm³ = 1 liter. Using decimeters as the unit of measure in volume problems can make conversion to liters trivial.

Answer:

C. 2.5

Step-by-step explanation:

If the number is -2.5

Basically the opposite in a summary

Answer:

C

Step-by-step explanation:

The additive inverse is what you add to a number to get zero.

That is, the negative of a number

Here A is positioned at - 2.5

The additive inverse is 2.5 → C

Since - 2.5 + 2.5 = 0

Answer:

$97.24

Step-by-step explanation:

You can use a direct proportion.

175 is to $52.36 as 325 minutes is to x.

Use two ratios of minutes/dollars:  

175/52.36 = 325/x

Cross multiply.

175x = 52.36 * 325

175x = 17,017

x = 17,017/175

x = 97.24

Answer: $97.24

Answer:

John will get more money after 5 years.

Step-by-step explanation:

To calculate compound interest we use the formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

A = Amount

P = Principal

r = Rate of interest ( in decimal )

n = number of compounding period (quarterly = 4) (monthly = 12)

t = time in years

John wants to deposit $1000 with an interest of 4% compounded quarterly for 5 years.

[tex]A=1,000(1+\frac{0.04}{4})^{(4)(5)}[/tex]

[tex]A=1,000(1.01)^{20}[/tex]

A = 1000 ( 1.22019 )

A = $1220.19

John will get $220.19 as interest after 5 years.

Cayden wants to deposit $1,000 with an interest of 3% compounded monthly for 5 years.

[tex]A=1,000(1+\frac{0.03}{12})^{(12)(5)}[/tex]

[tex]A=1,000(1.0025)^{60}[/tex]

A = 1,000 ( 1.161617 )

A = 1161.62

Cayden will get $161.62 as interest after 5 years.

Therefore, John will get more money after 5 years.

Answer:

3/5

Step-by-step explanation:

Bruh i gotchu Simple

Answer: The system of equations has no solutions.

Step-by-step explanation:

Identify the equation as:

[tex]x + 2y - z=3[/tex]   [Equation 1]

[tex]2x -y + 2z=6[/tex]    [Equation 2]

[tex]x - 3y + 3z=4[/tex]    [Equation 3]

Multiply  [Equation 1]  by -2 and add this to [Equation 2] :

[tex](-2)(x + 2y - z)=3(-2)[/tex]

[tex]\left \{ {{-2x - 4y +2z=-6} \atop {2x -y + 2z=6}} \right.\\ ..........................\\-5y+4z=0[/tex]

 Find another equation of two variables: Multiply  [Equation 3]  by -2 and add this to [Equation 2]:

[tex](-2)(x - 3y + 3z)=4(-2)[/tex]  

[tex]\left \{ {{2x -y + 2z=6} \atop {-2x +6y -6z=-8}} \right.\\........................\\5y-4z=-2[/tex]

Then you get this new system of equations. When you add them, you get:

[tex]\left \{ {{-5y+4z=0} \atop {5y-4z=-2}} \right.\\..................\\0=-2[/tex]

Since the obtained is not possible, the system of equations has no solutions.

The solution to the system of equations x + 2y - z = 3, 2x - y + 2z = 6, and x - 3y + 3z = 4 is (-1, 1, 2) utilizing substitution method.

The subject of this question is to find a solution to the system of linear equations. We can solve this system by methods of either substitution, elimination or matrix - but let's use substitution. First, let's isolate x in the first equation: x = 3 - 2y + z. Then we substitute x into the second and the third equation:

After simplifying these equations, we find y = 1 and z = 2. Plugging these back into x = 3 - 2y + z, we get x = -1. Therefore, the solution to the system is (-1, 1, 2).

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Answer:

D) The number line with a solid dot and the arrow going to the right of 3.

Step-by-step explanation:

x - 5 >/= -2

x >/= 3

x is greater than or equal to 3.

For this case we must find the solution of the following inequality:

[tex]x-5\geq-2[/tex]

So:

If we add 5 to both sides of the inequality we have:

[tex]x-5 + 5\geq - 2 + 5\\x\geq - 2 + 5\\x\geq 3[/tex]

Thus, the solution is given by all values of x greater than or equal to 3.

Answer:

Option D

The cross between Bbhh and bbHh yields genotypic frequencies

so that 1/4 of the offspring should be expected to be brown with long fur (genotype Bbhh)

Answer:

1/4

Step-by-step explanation:

It’s the first one and the third one

Answer: A and C

Step-by-step explanation:

Answer:

65°, 70°, 80°, 155°, 170°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 ( pentagon )

sum = 180° × 3 = 540°

Sum the given angles and equate to 540

x + x - 5 + x + 10 + 2x + 15 + 2x + 30 = 540

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Hence angles are

x = 70°

x - 5 = 70 - 5 = 65°

x + 10 = 7 0 + 10 = 80°

2x + 15 = (2 × 70) + 15 = 140 + 15 = 155°

2x + 30 = (2 × 70) + 30 = 140 + 30 = 170°

[tex]\bf \cfrac{7^2}{2x+6}\div \cfrac{3x-5}{x+3}\implies \cfrac{7^2}{2x+6}\cdot \cfrac{x+3}{3x-5}\implies \cfrac{49}{2~~\begin{matrix} (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\cdot \cfrac{\begin{matrix} x+3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }{3x-5}\implies \cfrac{49}{2(3x-5)}[/tex]

Answer:

C [tex]\frac{2}{1}[/tex]

Step-by-step explanation:

Recall the mnemonics SOH-CAH-TOA

The tangent ratio is the ratio of the opposite side of the right triangle  to the adjacent side.

From the diagram, the side opposite to <B is 2 units and the adjacent side is 1 unit.

This implies that;

[tex]\tan \angle B=\frac{2}{1}[/tex]

The correct choice is C

It an expression or a way of saying f(x)=6x2+12-7

Answer:

[tex]x=-1+\frac{\sqrt{78} }{6}[/tex] and

[tex]x=-1-\frac{\sqrt{78} }{6}[/tex]

Step-by-step explanation:

[tex]f(x) = 6x^2 + 12x - 7[/tex]

To find out the zeros of the quadratic function, we apply quadratic formula

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]

From the given f(x), the value of a=6, b=12, c=-7

Plug in all the values in the formula

[tex]x=\frac{-12+-\sqrt{12^2-4(6)(-7)}}{2(6)}[/tex]

[tex]x=\frac{-12+-\sqrt{312}}{2(6)}[/tex]

[tex]x=\frac{-12+-2\sqrt{78}}{2(6)}[/tex]

Now divide each term by 12

[tex]x=-1+-\frac{\sqrt{78} }{6}[/tex]

We will get two values for x

[tex]x=-1+\frac{\sqrt{78} }{6}[/tex] and

[tex]x=-1-\frac{\sqrt{78} }{6}[/tex]

The slope of the graph is 3

The y-intercept is -4

The equation of the line is y=3x-4 it shouldn’t be y= then x=

Answer:

The slope  is 3

The y-intercept is -4

The equation of the line is y=3 x=-4

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

Recall that an equilateral triangle has three equal interior angles, all 60°.  Let b represent the length of the base.  Draw a dashed line from the upper vertex to the base, perpendicularly.  This dashed line represents the height or altitude of the triangle.  

Now construct a triangle whose opposite side is this altitude, whose hypotenuse is b (and whose base is (1/2)b).

The altitude (opp) is then given by sin Ф = opp / hyp = opp / b.  Solving this for the altitude (opp), we get b·sin 60°:

alt (opp)       √3

------------- = ------

  hyp             2

                                                b·√3    

so that 2 alt = b·√3, or alt = ------------

                                                    2

Thus, for any equilateral triangle of side length b, the height of the triangle is

                             √3

alt = height = b · ------

                               2

Please note:  Your problem statement refers to "the equilateral triangle below."  It's important that you share such illustrations, along with all instructions.  In this case your question was general enough so that I could use the definitions of "sine," "equilateral," etc., to come up with a general answer.

Answer:

do u have a pic i can see

Step-by-step explanation:

Answer:

B 78 students

Step-by-step explanation:

The answer is d. 132 students

Answer:

The probability that the candy picked is not grape flavored would be 4/5

Step-by-step explanation:

We are given that a bag contains 10 pieces of flavored candy. 4 lemon, 3 strawberry, 2 grape and 1 cherry. The probability that the candy picked is not grape flavored is calculated as;

(number of candy that are not grape flavored)/ ( total number of candy in the bag)

= (4+3+1)/(10)

= 8/10

=4/5

Therefore, the probability that the candy picked is not grape flavored would be 4/5

To find the probability that a randomly picked candy is not grape flavored, we will follow these steps:

1. Count the total number of pieces of candy in the bag. This is the sum of all the different flavors of candy:
  - 4 lemon candies
  - 3 strawberry candies
  - 2 grape candies
  - 1 cherry candy
  The total number is 4 + 3 + 2 + 1 = 10 candies.

2. Count the number of candies that are not grape flavored. Since there are 2 grape candies, the number of candies not grape flavored is the total minus the grape candies:
  10 (total candies) - 2 (grape candies) = 8 candies that are not grape flavored.

3. Calculate the probability of picking a non-grape flavored candy. Probability is the number of favorable outcomes divided by the total number of possible outcomes. In our case, the favorable outcomes are the instances where we pick a non-grape flavored candy, and the total possible outcomes are picking any candy from the bag:
  Probability (not grape flavored) = Number of non-grape flavored candies / Total number of candies
  Probability (not grape flavored) = 8 / 10

4. Simplify the fraction, if needed. In this case, the fraction 8/10 can be simplified to 4/5 by dividing both the numerator and denominator by the greatest common divisor, which is 2.

Therefore, the probability of picking a candy that is not grape flavored from the bag is 4/5, or 80% if expressed as a percentage.

Answer:

i think that it is y=5n

Step-by-step explanation:

X^2-4x+4 is the answer, to save you points next time, use an app called M8thw8y

First you want to drop the parenthesis. If there is a “+” sign, you do not have to change anything. If there is a “-“ sign, you have to distribute the negative in order to simplify, so imagine you are distributing -1 to 7x + 3 to make it -7x -3.

So, you now have x^2 + 3x - 4 + 16 -5 - 7x -3. (I evaluated the 4^2 to 16)

Now, what you want to do now is to combine like terms. Notice that there is only one x^2, so it is the same. There are two terms that have “x”. 3x and -7x react like normal numbers and they form -4x. The numbers who don’t have x on them you combine like terms.

Answer is x^2 - 4x - 12

The answer is 3 because you need to use the last equation which is x is greater than or equal to 3.it doesn't make sense to use any of the other two equations because it asked what is the value of g(3).hope this helps if it does please mark brainliest

The answer is 3 you’re welcome

Answer:

3 ft

Step-by-step explanation:

It is because 3 times 18 is 54 and 3 is 15 less than 18

The width of a rectangle is 3 feet .

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.)

According to the question

Let length of rectangle = x

The width of a rectangle is fifteen feet less than its length.

i.e,

Width of a rectangle = x - 15

Now,

Area of the rectangle = 54 square feet .

Length * Width = 54

x (x - 15 ) = 54

[tex]x^{2}[/tex] - 15x - 54 = 0

[tex]x^{2}[/tex] - (18-3)x - 54 = 0

[tex]x^{2}[/tex] - 18x + 3x - 54 = 0

x(x-18) +3(x-18) = 0

(x-18) (x+3) = 0

x= 18 , -3

length of rectangle = 18 feet

Width of a rectangle = 18 - 15

                                  = 3 feet

Hence, The width of a rectangle is 3 feet .

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Answer:

SSS, SAS, ASA, AAS, and HL. These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Step-by-step explanation:

Answer: 500 dollars

You just plug in 100 to the x’s in the equation

The company's profit be if 100 games are sold is $41100

The profit function is given as:

[tex]p(x) = -0.3x^2 + 45x - 1000[/tex]

When the number of games is 100, it means that

x = 100

So, we substitute 100 for x in the profit function

[tex]p(x) = -0.3x^2 + 45x - 1000[/tex] becomes

[tex]p(100) = -0.3(100)^2 + 45(100) - 1000[/tex]

Evaluate the exponents

[tex]p(100) = -0.3(10000) + 45(100) - 1000[/tex]

Open all brackets

[tex]p(100) = -3000 + 45100 - 1000[/tex]

Evaluate like terms

[tex]p(100) = 41100[/tex]

Hence, the company's profit be if 100 games are sold is $41100

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Answer:

[tex]\large\boxed{4\sqrt{-81}+\sqrt{-25}=41i}[/tex]

Step-by-step explanation:

[tex]i=\sqrt{-1}\\\\\sqrt{-81}=\sqrt{(81)(-1)}=\sqrt{81}\cdot\sqrt{-1}=9i\\\\\sqrt{-25}=\sqrt{(25)(-1)}=\sqrt{25}\cdot\sqrt{-1}=5i\\\\4\sqrt{-81}+\sqrt{-25}=4(9i)+5i=36i+5i=41i[/tex]

Answer:

D

Step-by-step explanation:

The vertex is the turning point of the graph.

This is at (- 1, - 2)

The graph changes from decreasing to increasing at (- 1, - 2)

Hence is a minimum at (- 1, - 2)

The graph of the parabola is minimum at (-2, -1).

The path of an object that is thrown in the air and falls back to the earth.

A graph of the parabola is given.

a.   At ( -1, -2 ), the parabola is minimum.

b.   At ( -2, -1 ), point does not satisfy.

c.   At ( 2, 1 ), the point does not satisfy.

d.   At ( 1, 2 ), the point does not satisfy.

Thus, the graph of the parabola is minimum at (-2, -1).

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Do you mean irrational?

Answer:

Part A) The equation that represent the situation is [tex]\frac{n+54}{9}=21[/tex]

Part B) The value of n is [tex]n=135[/tex]

Part C) The equation is [tex]35+n=60[/tex] and the solution is [tex]n=25[/tex]

Step-by-step explanation:

Part A) A number is increased by 54. The sum is then divided by 9. The result is 21.  Write an equation to represent the description above. Use n for the number

Let

n-----> the number

we know that

The linear equation that represent this situation is equal to

[tex]\frac{n+54}{9}=21[/tex]

Part B) Find the value of n

we have

[tex]\frac{n+54}{9}=21[/tex]

solve for n

Multiply by 9 both sides

[tex]n+54=21*9[/tex]

[tex]n+54=189[/tex]

Subtract 54 both sides

[tex]n=189-54[/tex]

[tex]n=135[/tex]

Part C) Choose two numbers and use them to do the following:

Write an equation that shows your first number added to n equal to your second number. Solve your equation for n

I choose 35 and 60

[tex]35+n=60[/tex]

Solve for n

Subtract 35 both sides

[tex]n=60-35[/tex]

[tex]n=25[/tex]

Answer:

38.72 change

Step-by-step explanation:

153.6 x 1.05 = 161.28

100 x 2 = 200

200-161.28 = 38.72

Answer:

42.36

Step-by-step explanation: