Based on simple interest, how much money would you have borrowed at 6% annual interest if your interest payment for one year was $120?​

The simplified value for the function at g(0) and g(2) are 2 and -20 respectively.

To simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

Given a function g(x) = -4x² - 3x + 2

to find the values of g(0)

and g(2)

for g(0)

substitute x = 0 in the equation,

g(x) = -4x² - 3x + 2

g(0) = -4(0)² - 3(0) + 2

g(0) = 2

for g(2), substitute x = 2 in the equation,

g(x) = -4x² - 3x + 2

g(2) = -4(2)² -3(2) + 2

g(2) = -4(4) - 6 + 2

g(2) = -16 - 6 +2

g(2) = -20

Hence the values for g(0) is 2 and for g(2) is -20.

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The Interpretatiom of the equation is that;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

The algebra word problem can be solved by using variables to denote certain parameters I'm the question.

The general form of equation of a line in slope intercept form is;

y = mx + c

Where;

m is slope

c is y-intercept

We are given the equation:

$25w + $65

This equation represents the amount of money Kelly will have saved after some amount of weeks.

Thus;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

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Answer:

105 selection s

Step-by-step explanation:

Given:

The coach has to select 2 co-captains from the 15 girls out for soccer

n = 15

r = 2

The number of selections possible is;

N = nCr = n!/r!(n-r)!

Since no other is specified.

Substituting the values of n and r;

N = 15C2 = 15!/2!(15-2)!

N = (15×14)/2

N = 105

Therefore, she have 105 possible selections

The standard form of polynomial is x^2 + 9x - 1/10

To write the equation in standard form, look at the degree of highest term and then rewrite the equation in decreasing order of degree i.e. from highest to lowest.

The given polynomial is

⇒ x^2 + 9x - 1/10

The standard form of the polynomial is

⇒ x^2 + 9x - 1/10

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Answer: 160

Step-by-step explanation:

80 x 2 = 160

Answer:

-5

Explanation:

Given the below expression;

To evaluate the above expression when a = -4, all we need to do is to substitute a with -4 and solve as seen below;

Evaluating the given expression when a = -4 will give us -5 as the answer as seen above.

Answer:

2. LeBron is relatively taller because he has a larger z-score.

Step-by-step explanation:

Given that ,

mean =\(\mu\)  = 69.5

standard deviation \(=\sigma\)  = 2.7

x = 81

Now use the formula of   z-score

\(z = x - \frac{\mu}{\sigma}\)

z =\(81 - \frac{69.5}{2.7}\)

z = 4.26  LeBron  

mean = \(\mu\) = 64.2

standard deviation =\(\sigma\)  = 3.2

x = 76

Now use the formula of   z-score

\(z = x - \frac{\mu}{\sigma}\)

\(z = 76 - \frac{64.2}{3.2}\)

z = 3.69 Candace  

As it can be seen that the lebron is taller as he has more z-score as compared to the Candace  

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Answer:

1/2

Step-by-step explanation:

We know this is the answer because for every 1cm in the small rectangle, you hav 2cm in the large rectangle.

So if you were to take the measurements for each side and place them like this:

2/4      8/16

They both simplify to 1/2.

Answer:

Infinite.

Step-by-step explanation:

\(-17+2(1+3x)=x-5(3-x)\)

Expand:

\(-17+2+6x=x-15+5x\)

\(6x+15=6x+15\)

\(6x=6x\)

\(0=0\)

Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.

\(a=\frac{6}{5}\).

\(a+\frac{4}{5} =\frac{1}{\frac{1}{2} }\)

\(a+\frac{4}{5} =1*\frac{2}{1} \\ \\a+\frac{4}{5} =2\)

\(a+\frac{4}{5}-\frac{4}{5} =2-\frac{4}{5}\\ \\a=\frac{2}{1}-\frac{4}{5}\\\\a=\frac{2*5}{1*5}-\frac{4}{5}\\ \\a=\frac{10}{5}-\frac{4}{5}\\ \\a=\frac{10-4}{5} \\ \\a=\frac{6}{5}\)

\((\frac{6}{5} )+\frac{4}{5} =\frac{1}{\frac{1}{2} }\\ \\\frac{10}{5} =2\\ \\2=2\)

\(a=\frac{6}{5}\).

Answer:

I think its C

Step-by-step explanation:

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

\( \underline{ \underline{ \text{To \: find}}} : \)

\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)

\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)

⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)

⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)

⤑ \( \sf{ \sqrt{100 - 64}} \)

⤑ \( \sf{ \sqrt{36}} \)

⤑ \( \boxed{ \sf{6\: units}}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Based on the information provided, the triangle ABC is an Isosceles triangle.

If triangle ABC is equal to triangle DEF and AB is equal to EF, it means that the corresponding sides and angles of the two triangles are congruent.

Based on the information given, we can conclude that triangle ABC is an isosceles triangle. An isosceles triangle is a triangle that has two sides of equal length. In this case, sides AB and EF are equal in length, making triangle ABC isosceles.

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Answer:

Step-by-step explanation:

The four sides of a square are equal.

7x + 3 = 5x + 8             Subtract 5x from both sides

7x - 5x + 3 = 8              Combine the left

2x + 3 = 8                     Subtract 3 from both sides

2x = 8-3                        Combine the right

2x = 5                           Divide by 2

x = 5/2

x = 2.5

That is not quite the answer

Side = 7x + 3

Side = 7*2.5 + 3

Side = 17.5 + 3

Side = 20.5

Answer: Luigi has 705 wine kegs at his winery, and he delivers (m) amount of them to his brother at the marketplace. How many did he deliver in order to have 430 left?

I hope this helped!

Answer:

Option C

Step-by-step explanation:

In this question measure of two sides and and the angle between these sides of a triangle is given.

We have to calculate the measure of third side.

By applying cosine rule in the given triangle.

BC² = AB² + AC² - 2(AB)(AC)cos(A)

BC² = (18)² + (12)² - 2(18)(12)cos(62°)

BC² = 324 + 144 - 202.81

BC² = 265.19

BC = 16.28

BC ≈ 16 units

Therefore, Option C will be the correct option.

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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The number of sod grasses needed is about one and half for the clients lawn

1 1/2 sod grasses

Given Data

Area of client's Lawn = Length * Width

= 75*100

= 7500 square feet

Size of large rolls of sod grass

Area of large rolls of sod grass  = Length * Width

= 116*42

= 4872 square feet

The number of sod grass needed

= 7500/4872

= 1.53

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Answer: 5°C

Step-by-step explanation: Ok, let's use the formula you're given, hopefully I'm using it correctly...

41°F

41°F - 32 = 9

Now, let's turn \(\frac{5}{9}\) into a decimal because it's easier...

9 ÷ 5 = 1.8

9 ÷ 1.8 = 5

= 5°C

I hope this helps!

Answer:

Step-by-step explanation:

Let's use the formula that was stated in your question.

C= 5/9 × (F − 32)

The simplest thing to do right now is replace (F) with the value, 41

C= 5/9 × (F − 32)

C= 5/9 × (41 − 32)

Now, we solve according to the Order of operations*. (PEMDAS)

C= 5/9 × (41 − 32)

C= 5/9 × 9 (In this case, we can cross cancel the denominator value 9, and the whole number, 9.)

Hence, the answer is 41ºF = 5ºC

*Order of operations: The order that you must solve equations in. Parentheses, Exponents, Multiplication or Division, Addition or Subtraction.

(PEMDAS)

Hope this helps!

-Emma

For a right triangle, the tangent of each acute angle can be expressed by the following equations:Tan A = Opposite side/Adjacent side  Tan B = Opposite side/Adjacent side  

Triangle is a three-sided polygon that is one of the most basic shapes in geometry. It is a closed shape with three straight sides and three angles. The sum of the three angles of a triangle is always equal to 180°. Triangles come in a variety of shapes, including right triangles, obtuse triangles, and acute triangles. Triangles can also be classified by their sides, such as equilateral, isosceles, and scalene.

These equations are derived from the trigonometric ratios of a right triangle. The trigonometric ratios of a right triangle are the ratios between the sides of a triangle and the angles of the triangle. These ratios are represented by sine, cosine and tangent. The sine of an angle is the ratio of the opposite side to the hypotenuse, the cosine of an angle is the ratio of the adjacent side to the hypotenuse, and the tangent of an angle is the ratio of the opposite side to the adjacent side. Since a right triangle has one right angle, the hypotenuse is known, and the other two sides can be found by using the trigonometric ratios. The tangent of each acute angle is then determined by dividing the opposite side by the adjacent side.

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Answer:

bro r u good its .77

Step-by-step explanation:

Answer:

the first answer is 2.37, and the second one is 12.21

Step-by-step explanation:

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Answer:

True

Step-by-step explanation:

Answer:

\( \huge\purple{TRUE}\)

Step-by-step explanation:

The absolute value of any number is always positive.

Answer:

- 8a²

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m - n)}\)

given

\(\frac{80a^9}{-10a^7}\)

= \(\frac{80}{-10}\) × \(a^{(9-7)}\)

= - 8 × a²

= - 8a²

1. The mathematical expression that can be used to determine the total cost of mailing a package weighing p pounds is f(Tc) = 20 + 3p.

2. Since Betty spent $56 to mail her package, the weight in pounds of the mail must be 12 pounds.

A mathematical expression is a statement containing numbers, variables, and an arithmetic operation.

Flat (fixed) rate for mailing a package = $20

Variable mailing rate per pound = $3

Expression to model the total cost:

Let Tc = total cost

p = number of pounds

Tc = 20 + 3p

If Betty spent $56 to mail her package, the number of pounds, using the mathematical expression above:

Tc = 20 + 3p

56 = 20 + 3p

56 - 20 = 3p

36 = 3p

p = 12

Check:

Tc = 20 + 3p

56 = 20 + 3 (12)

56 = 20 + 36

56 = 56

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