When Tobey was born, his parents invested $2,000 in a fund that paid an annual interest of 6%. How old will Tobey be when the investment is worth at least $5,000?

XY = 6 units  is the length of XY in AXYZ .

What is a right-angle triangle, exactly?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees.

                         Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

using the sine ratio in the right triangle and the exact value

  sin30° = 1/2, then

    sin30° = XY/XZ = XY/12 =  1/2  ( cross - multiply)

     2XY = 12  ( divide both sides by 2 )

        XY = 6

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The complete question is -

Use right triangle XYZ to complete the following parts.

Part A

12

XY =

30°

? Question

What is the length of XY in AXYZ?

Type the correct answer in the box. Use numerals instead of words.

units

What is the image of ( 12 , − 4 ) after a dilation by a scale factor of 1/4 centered at the origin is (3, -1)

Transformation is the movement of a point in the coordinate plane. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease of a figure by a scale factor k. If the value of k > 1, then it is an enlargement but if k < 1, it is a reduction.

The point (12, -4) is dilated by a scale factor of 1/4 using the rule (x, y) ⇒ (x/4, y/4). The new point is (4, -1)

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Step-by-step explanation:

MY ANSWER IS CORRECT SO GIMME 5 STARS AND BRAINLIEST PLSPLSPLS

Answer:

2. -1/2

4. 3/2

Step-by-step explanation:

Gradient = (Y1 - Y2)/(X1 - X2)

2.

Point 1: (4, -1)

Point 2: (-2, 2)

Gradient = (-1 - 2)/(4 - (-2)) = -3/6 = -1/2

3.

Point 1: (4, 6)

Point 2: (-4, -6)

Gradient = (6 - (-6))/(4 - (-4)) = 12/8 = 3/2

Answer:

C) g(x)=2(x+4)(x-7)

Step-by-step explanation:

g(x)=2x²-6x-56

g(x)=(2x+8)(x-7)

g(x)=2(x+4)(x-7)

Therefore, C is correct. You can expand to check your answer.

Therefore , the solution of the given problem of parallelogram comes out to be option D 80  degrees.

A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.

Here,

Given : The parallelogram  has M angle  =100 degree

And to Find :L angle

In a parallelogram sum of the adjacent angle is 180°, So

So ,

Using this parallelogram property ,

we find :

=>100 + L =180

=> L = 80

Thus,

We get the L value using parallelogram properties.

Therefore , the solution of the given problem of parallelogram comes out to be option D 80  degrees.

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Han is wrong , we do not agree with him. The value of the 7 in 735,208 is not the 10 times the value of the 7 in 137,342.

The value of 7 here refers to the place value of 7 , in 735,208  7 is at lakhs place whereas in 137,342 , 7 is in thousandth place .

Therefore , Han is wrong as because if we will the 7 in 137,342. when multiplied by 10 will go to the ten thousandth place and not the lakh place.

The  place value is a measure which is used to represent the position of each digit in a number . Based on their position in the number, digits are assigned place values such as ones, tens, hundreds, thousands, ten-thousands, and so on. For example, 1 in 512400 has a place value of ten thousands, i.e. 10000.

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Answer:

B

Step-by-step explanation:

Answer: Maybe D...........?

Answer:

Step-by-step explanation:

a) x and 53 are adjacent angles of a parellelogram:

therefore, their sum will be 180 degrees

x + 53 = 180 --> x = 180 - 53 = 127 degrees

b) We know that opposite angles in a parallelogram are equal:

therefore, x = 113 degrees

c) Similarly, x = 80 degrees

d) x + 62 = 180

x = 180 - 62 =  118 degrees

Answer:

1568

Step-by-step explanation:

14 x 17.5 x 6.4 = 1568

Answer:

Step-by-step explanation:

To solve this problem, you have to find the volume.

Volume:

[tex]\sf{V=l*w*h}[/tex]

Length is 14

Width is 17.5

Height is 6.4

Solve.

Multiply.

[tex]\sf{14*17.5*6.4=1568}[/tex]

[tex]\large\boxed{1568}[/tex]

Therefore, the correct answer is 1568.

Answer:

C.

Step-by-step explanation:

The set of ordered pairs can only be a function if the x value is not repeated .Thus,only C is a function as the x values (-1,4,1,-3) are unique while the other options have a repetition of its certain x values.

I hope ive helped

Answer:

3 × 5 ^ n

Step-by-step explanation:

since the series is exponential, the ratio between adjacent terms is 5.

nth term of geometric/exponential series is given by:

nth term = first term × (ratio)^(n-1)

= 15 × 5^ (n-1)

= 15 × 5^n × 5^-1

= 3× 5^n

Answer:

5.83095189485

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

I timesed 11 by 12 which is 132 and then timesed 10 with 11 which then gave me 110. I then subtracted 132 with 110 which gave me the answer 22. if we remove 11 from the 22 books we then end up with 11. then times it by 12 = 132. then if you subtract 10 of the 22 books then we end up with 12. then times it by 11 which is 132 as well.

Answer:

a = $ 18

Step-by-step explanation:

It is given that Chinase's allowance is $6 per week and it is 1/3rd of his brother's allowance. Assuming the brother's allowance as "a", we can write the equation as follows:

[tex]\$6 = \frac{a}{3}\\a = (\$6)(3)[/tex]

a = $ 18

Therefore, the allowance earned by Chinse's brother every week is found to be $ 18.

In the recorded test scores 90 is the mode, as it appears most frequently in the set of ff test scores.

Job applicants submitted their ff test results, which were as follows: 65, 68, 70, 75, 88, 90, 90, 91, and 92. Following that, the Mean (Average) is 81, Median (Middle) is 88, and Mode (Most Common) is 90. The mode can be calculated quite easily.

After sorting the numbers in a set according to their order—lowest to highest or highest to lowest—count how many times each number appears in the group.

The mode is the one that is most prevalent. the quantity that happens the most frequently, or the quantity that appears the most frequently overall. The mode of the numbers 4, 2, 4, 3, 2, and 2 is 2, since it appears three times, more than any other number. The most frequent number in a set of numbers is called the mode.

To find the mode, we first need to put the test scores in order from lowest to highest:

65, 68, 70, 75, 88, 90, 90, 91, 92

Then we can count how many times each number appears:

65: 1 time

68: 1 time

70: 1 time

75: 1 time

88: 1 time

90: 2 times

91: 1 time

92: 1 time

As we can see, the number 90 appears the most with 2 times, so the mode of this set of data is 90.

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Answer:

= 15

Step-by-step explanation:

hope this helps

Answer:

15

Step-by-step explanation:

mrk me brainiest plz

Answer:

Sales=8571$

Commission=11.2% of Sales

=11.2/100 × 8571$

=(11.2×8571)/100 $

=959.952$ Which is nearly equal to 960$.

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Answer:

P: the principal, the amount invested

A: the new balance

t: the time

r: the rate, (in decimal form)

Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160

Compound Interest:

P: the principal, amount invested

A: the new balance

t: the time

r: the rate, (in decimal form)

n: the number of times it is compounded.

Ex2:Suppose that $5000 is deposited in a saving account at the rate of 6% per year. Find the total amount on deposit at the end of 4 years if the interest is:

P =$5000, r = 6% , t = 4 years

a) simple : A = P(1+rt)

A = 5000(1+(0.06)(4)) = 5000(1.24) = $6200

b) compounded annually, n = 1:

A = 5000(1 + 0.06/1)(1)(4) = 5000(1.06)(4) = $6312.38

c) compounded semiannually, n =2:

A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85

d) compounded quarterly, n = 4:

A = 5000(1 + 0.06/4)(4)(4) = 5000(1.015)(16) = $6344.93

e) compounded monthly, n =12:

A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44

f) compounded daily, n =365:

A = 5000(1 + 0.06/365)(365)(4) = 5000(1.00016)(1460) = $6356.12

Answer:

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The transformation of S(1,-4), R(2,0), 2(3,0), and P(3,-2) is S(-6, -2), R(-6, 2), as well as the category is rotation transformation.

Four distinct approaches to modify the position and/or shape of a point, line, or geometric figure are collectively referred to as transformations. The Pre-Image, which refers to the object's initial shape, and the Image, which refers to the object's ultimate shape and location after transformation, are both terms. Transformations can be divided into three categories: translations, reflections, and dilations. There are two types of transformations that can be done to a function: vertical (which affects the y-values) and horizontal (affects the x-values). The four transformation variables are included in the equation of a function that is shown below (a, b, h, and k). changing the log. Take the log of every observation as an example. Transposition by the square root. The square root of each observation is what is need for this.

given

Translation or shift vector refers to the pair (tx, ty). Column vectors are another way to visualize the aforementioned equations.

S(1,-4), R(2,0), 2(3,0), P(3,-2) to S'(-5,-2), R'(-4, 2), Q'(-3, 2), P(-3,0)

is S (-6, -2) , R( -6 , 2)

The transformation of S(1,-4), R(2,0), 2(3,0), and P(3,-2) is S(-6, -2), R(-6, 2), as well as the category is rotation transformation.

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Answer:

I'm already past this but the answer is 21

Formula to find the area: A=πr^2

Formula to find circumference: C=2πr

Diameter is twice the length of the radius, so if you're given diameter of 3, the radius is half of that, which that would be 1.5.

A=π(1.5)^2 A= 3.14x1.5^2 = 7.065

Don't forget to round that and that becomes 7.07.

C=2π(1.5) C= 2x3.14x1.5 = 9.42

That stays as it is.

Area= 7.065

Circumference= 9.42

Answer:

x = 5/3, y = 2/3

Step-by-step explanation:

x + 1/3 = 2 equ 2

Answer:

D) 7.5%

Step-by-step explanation:

We can solve this through guessing and checking, or we can do this mathematically. We will try both approaches.

Mathematically:

We know that to get the extra $30 if we have $100, is a 30% interest. Now, since we have 4x 100, and these numbers are inversely proportional, we will need to divide 30 by 4. Doing this gives us 30/4 = 7.5, so the answer is 7.5%.

Guess and Check:

This way is a bit slower, but we will go through each answer and find how much money we would get from them. So, we would take our percent, change it to a number of that percent, considering we are taking it from 100, and multiply it by 4 since we have $400. We will get each of these respectively:

A) 3% = 3 * 4 = $12

B) 4.5% = 4.5 * 4 = $18

C) 6% = 6 * 4 = $24

D) 7.5% = 7.5 * 4 = $30

As you can see, D) gives us that extra $30, so the answer is D) 7.5%.

Hope this helped!

Answer: • The probability of a randomly selected test having a score higher than 4 is 0.15.

This is the correct interpretation of P(X > 4). P(X > 4) represents the probability of a randomly selected test having a score that is greater than 4. This is calculated by summing up the probability of all the scores that are greater than 4 in the distribution table.

Step-by-step explanation:

Answer: .50

Step-by-step explanation:

A pex

Answer:

x: represents the number of reward miles

traded in and is always an integer value.

f(x): represents the value of the reward in

dollars.

Tristan and Delaney are tasked with testing

the system and made the following reward

redemptions.

• Tristan traded in 1500 miles for a $290