HELP ME PLEASE! Lina invested $7,800 in a mutual fund at a simple interest rate of 4.35%. She earned $1,696.50 in interest. How long (in years) was the money invested?
Round to the nearest tenth of a year if needed.

Answer: 1. (21/10 or 2.1). 2. (3/2 or 1.5)

Step-by-step explanation:

1. Let's take the first equation as an example (5 1/4 ÷ 2 1/2)

2. First, make both fractions improper (21/4, and 5/2)

3. Next, multiply the first fraction by the reciprocal (numerator and denominator swapped) of the second fraction. This is because, to keep the equation mathematically the same, we need to turn the division question into a multiplication question. In this case, it is 21/4 x 2/5 which answers 21/10, or 2.1.

4. Using the same method, we get 7/2 x 3/7, which is 3/2 (simplified), or 1.5.

I didn't want to give the answers for all the equations, but I hope this method is clear and concise for figuring out the answer for the rest of the equations.

Answer:

i think its 10 sets of 2 winners

Step-by-step explanation:

answer is 38

good right?

Answer:

Step-by-step explanation:

To graph any point (±x, ±y) we must follow the steps as illustrated below.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, The points (- 4,- 4.5), (1, 2.5), and (- 2, - 0.5).

Now, To graph the point (-4, - 4.5) we should move 4 units left along the x-axis and down 4.5 units along the y-axis.

Similarly, for points (1, 2.5) and (- 2, - 0.5) we must follow the exact steps.

The graph of the points is shown in the attached image.

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Answer:

38°

Step-by-step explanation:

1. Angles subtended at the circumference is half at the centre. Therefore angle at the centre is 61x2=122

2. Isosceles triangle have equal base angle. 19°

3. Tangent subtends 90° with the radius.

4. 90-19=71

5. 71x2=142°

6. Angles in a triangle add up to 180°

180-142=38°

Check the picture below.

[tex]3x+17=6x-16\implies 17=3x-16\implies 33=3x\implies \cfrac{33}{3}=x\implies \boxed{11=x} \\\\[-0.35em] ~\dotfill\\\\ (3x+17)+(2y+14)=180\implies 3x+2y+31=180 \\\\\\ 3\stackrel{x}{(11)}+2y+31=180\implies 33+2y+31=180\implies 2y+64=180 \\\\\\ 2y=116\implies y=\cfrac{116}{2}\implies \boxed{y=58}[/tex]

Answer:

b = 16

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the angles and equate to 180

b + 15 + 8b - 18 + 39 = 180

9b + 36 = 180 ( subtract 36 from both sides )

9b = 144 ( divide both sides by 9 )

b = 16

Based on the information given, the values are:

1. 80 rides

2. 53. 3%

3. 56. 6%

4. 30 students

Percentage can be defined as the ratio of a number to 100.

It is denoted with the symbol, '%'

How to determine the values;

1.. 24 rides = thirty percent of the total rides

Total rides = 24 rides/ 30%

Total rides = 24/ 30/ 100 = 24/ 0. 3 = 80 rides

2.  There are 14 Apple computers

16 PC computers

% of PC computers = 16/ 16 + 14 × 100/ 1

% of PC computers  = 16/ 30 × 100

% of PC computers  = 0. 53 × 100 = 53. 3

3.  3 out of 30 are not working

% of the working computers = 30- 3/ 30 × 100

% of the working computers = 17/ 30 × 100

% of the working computers = 56. 6

4.

If 12 students = 0. 4

Then x students = 1 - 0. 4 = 0. 6

cross multiply

x = 18 students

Total number of students = 40% + 60% of students = 18 + 12 = 30

Thus, the values are 80 rides, 53. 3%, 56. 6% , 30 students respectively.

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The number of each type of jewellery she made is 12 earrings and 8 bracelet .

She sells earrings and bracelets on Etsy.

The earrings cost $5 a pair and bracelets cost $12.

She made 20 pieces on Saturday for $156.

let

x = number of pair of earring made

y = number of bracelets

Therefore, the system of equation that can be used to find the number of each jewellery she made can be calculated as follows;

5x +  12y = 156

x + y = 20

multiply equation(i) by 5

5x +  12y = 156

5x + 5y = 100

subtract equation(i) from equation(ii)

7y = 56

y = 56 / 7

y = 8

Hence,

x + 8 = 20

x = 20 - 8

x = 12

Therefore, the number of earring and bracelet she made are 12 and 8 respectively.

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Answer:

yes, each input (x) has only one output (y)

Step-by-step explanation:

Answer:

the phothois not clear pls incorrectly I can't understand

Answer:

5w^3+8w^2-14w-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 3, if you did 4-7 it would be -3, but since both -4-(-7) are negative it's a positive 3.

Ignore the parentheses, is just there so you don't mix the negative sign up with the subtraction sign.

Value for f(x)  = x² - 12x + 35

Given :

             (f⁰g)(x) = x²-6 x+8

                 g(x) = x-3

Now ,

            (f⁰g)(x) = f(g(x))

         x²-6 x+8 = f(x-3)

let x = x-3

              f(x)  = (x-3)² - 6(x-3) + 8

              f(x)  = x² + 9 - 6x - 6x + 18 +8

              f(x)  = x² - 12x + 35

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Answer:

9. (1/3)

10. (0, -2)

11. y = (1/3)x - 2

Step-by-step explanation:

(x₁, y₁) and (x₂, y₂)

(-3, -3)        (0, -2)

9.      

        y₂ - y₁         -2 - (-3)      -2 + 3         1

m = ------------ = ------------ = ------------ = -------

        x₂ - x₁         0 - (-3)        0 + 3         3

10.

y = (1/3)x - 2

y = -2

y-intercept: (0, -2)

11.

y - y₁ = m (x - x₁)

y - (-3) = (1/3) (x - (-3)

y + 3 = (1/3) (x + 3)

y + 3 = (1/3)x + 1

    -3              -3

y = (1/3)x - 2

I hope this helps!

Answer:

4 or -4

Step-by-step explanation:

The number on top (the numerator) is the absolute value of 8.  This is just asking the distance from 0.  8 is 8 units away from zero, but so is -8.

So the answer could be [tex]\frac{8}{2}[/tex] or [tex]\frac{-8}{2}[/tex], the answer simplified would be 4 or -4

The equation that could represent a balanced hanger B, which is equivalent to hanger A, is: 6x + 3y = 3(3y + x).

Variables, which are alphabets represents unknown values and can be used in creating equations that model a scenario.

For example, in the model shown in the image, x represents the weight of each triangle while y = the weight of each square.

From the first balance, we can rearrange the squares and triangles to create hanger B.

The first equation is: 3(2x + y) = 9y + 3x

The second equation that can be created using the set of shapes would be:

6x + 3y = 3(3y + x)

Therefore, the equation that could represent a balanced hanger B, which is equivalent to hanger A, is: 6x + 3y = 3(3y + x).

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Answer: 2x+y=3y+x

Step-by-step explanation:

Answer:

x = 4,3

Step-by-step explanation:

x²-7 x+12=0

(x-4) (x-3) = 0

x-4=0        x-3=0

x=4            x=3

Using proportions, it is found that the total length of the tree is of 194 inches. Three separate measurements are needed because it is only possible to add values measured in the same unit.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for unit conversion problems, as unit conversion involve rates between the variables.

For this problem, we have that the measurements in inches, considering the rates in the problem, are as follows:

Hence:

48 + 126 + 20 = 194 inches.

The total length of the tree is of 194 inches. Three separate measurements are needed because it is only possible to add values measured in the same unit.

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Answer:

10

Step-by-step explanation:

3 = [tex]\frac{30}{10}[/tex] , then

[tex]\frac{30}{10}[/tex] ÷ [tex]\frac{3}{10}[/tex]

= [tex]\frac{30}{10}[/tex] × [tex]\frac{10}{3}[/tex] ( cancel the 10's )

= [tex]\frac{30}{3}[/tex]

= 10

Answer:

Step-by-step explanation:

A 2% decrease each year means that the population at the end of a year is 98% of what it was at the start of the year.  Apply this for t consecutive years and you get the relation

P(t) = Po (0.98)t

Po = 100,000

P(t) = 100,000 (0.98)t

Answer:

C 2

Step-by-step explanation:

Slope is change is y over the change in x

[tex]\frac{5- (-1)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

Answer:

C. 2

Step-by-step explanation:

Deliberate bias is the correct answer.

Bias is the tendency of a statistic to overestimate or underestimate a parameter or result. It can be intentional or unintentional. They threaten the accuracy of the collected data. Deliberate bias is the misrepresentation of data to advance an agenda that is done purposely.

The extract of the results of an experiment is changed intentionally for personal benefit in terms of monetary, scientific, personal, or ideological purposes through deliberate bias.

This bias occurs when a group of people wants to control the collected information to move in a certain predetermined direction and receive various benefits that would promote themselves in the area of interest.

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Answer:

the answer isssssssssssssß

Answer:

-120

Step-by-step explanation:

Answer:m= 83 degrees

Step-by-step explanation: the sum of all three corners will always add up to 180 so adding 31 and 66 together is 97 an then 180-97 is 83.brainliest?

Answer:

aₙ = 2aₙ₋₁  for n ≥ 2
a₁ = 3

Step-by-step explanation:

A geometric sequence can be expressed recursively using the following general equation

aₙ = r . (aₙ₋₁), n ≥ 2
where
aₙ is the nth term
a₁ is the first term of the geometric sequence

r is the common ratio = aₙ/aₙ₋₁

Here we have the terms 3, 6, 12, 24, 48

The common ratio r = 6/3 = 12/6 = ....... = 48/24 = 2

The first term a₁ =  3

So the recursive relation is
aₙ = 2aₙ₋₁  for n ≥ 2
a₁ = 3

Answer:

11.9a − 3

Step-by-step explanation:

According to the given question -12 [tex]\times[/tex] 2/3 is equal to -8.

There are certain rules to solve this question.

multiply -12 × 2 = -24

And,

then divide it by 3 as stated in the denominator.

[tex]\frac{-24}{3}[/tex] = -8

This is how we solve this equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

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