Find out how long it takes a $2900 investment to double if it is invested at 9% compounded quarterly. Round to the nearest tenth of a year.

Answer:

B. y = 2x - 2

E. [tex] y + 4 = 2(x + 1) [/tex]

F. [tex] y - 6 = 2(x - 4) [/tex]

Step-by-step explanation:

The equation of the line can be found using either the point-slope equation or the slope-intercept equation.

✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):

Slope = m = change in y/change in x

Using (4, 6) and (-1, -4),

m = (-4 - 6)/(-1 - 4)

m = -10/-5

m = 2

Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form [tex] y - b = m(x - a) [/tex]

Thus:

[tex] y - 6 = 2(x - 4) [/tex]

✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):

Slope = m = 2

Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form [tex] y - b = m(x - a) [/tex]

Thus:

[tex] y - (-4) = 2(x - (-1)) [/tex]

[tex] y + 4 = 2(x + 1) [/tex]

✔️Equation of the line in slope-intercept form, y = mx + b

Where,

m = slope = 2

b = y-intercept = -2 (the point where the line intercepts the y-axis)

Thus, substitute m = 2 and b = -2 into y = mx + b

y = 2x + (-2)

y = 2x - 2

Answer:

$7.5

Step-by-step explanation:

4 bottles cost = $5

Then 1 bottle costs:

$5/4 = $1.25

Then 6 bottles cost:

$1.25*6 = $7.5

Answer:

This is BIDMAS / BODMAS

You need to do BRACKETS first, so 5 - 4 = 1. Now if it is NOT the sequence then it would be 62 - 1 + 2 = 63. The rest I do not know.

Answer:

57.5

Step-by-step explanation:

62 - (5 - 4) + 2(8 - 22) ÷ 8

62 - (1) + 2(- 14) ÷ 8

62 - 1  - 28 ÷ 8

61 - 3.5

57.5

Answer:

5x^2 +28x - 100

Step-by-step explanation:

f(x)=7x^2−2 and g(x)=2(x−7)^2

First simplify g(x)

g(x) = 2 ( x-7)(x-7) = 2( x^2 - 7x -7x +49) = 2(x^2 -14x +49) = 2x^2 -28x +98

Now f(x) - g(x)

f(x) - g(x) = 7x^2−2 - (2x^2 -28x +98)

Distribute the minus sign

            = 7x^2−2 - 2x^2 +28x -98

Combine like terms

            = 5x^2 +28x - 100

Answer:

the answer is 2450

Step-by-step explanation:

because you find the area of one which is 1225, then multiply it by 2 because there are 2 squares.

9514 1404 393

Answer:

  x = 39

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.

  x² +80² = 89²

  x² = 89² -80² = 7921 -6400 = 1521

  x = √1521

  x = 39

Answer:

determining your current financial situation.

Step-by-step explanation:

Answer:

determining your current financial situation

Step-by-step explanation:

Answer:

Decrease

Step-by-step explanation:

The Pvalue is used to measure the level or decide if a particular research claim is significant or not. The sample size also plays a role in the Pvalue of a statistical analysis. Larger sample sizes tend to prove the significance of the claim. Using the Pvalue approach, the significance of a claim is examined by the and established by small P values. Therefore, an initial Pvalue of 0.08 obtained using a sample size of 50. The Pvalue will most likely witness a further decrease in the Pvalue if the sample size is increased to 500 as this would move the claim closer to being significant.

Answer:

a^2 + b^2 = c^2

a^2 + 32^2 = 58^2

a^2 + 1024 = 3364

a^2 = 2340

a = 48.37

Step-by-step explanation:

Answer:

x = 33.49

Step-by-step explanation:

I took the the test and got this answer, sorry for the not so detailed explanation

have a decent day

Answer: 3

Step-by-step explanation:

Given

[tex]f(x)=\dfrac{1}{3}3^x[/tex]

[tex]g(x)=2x+4[/tex]

For [tex]f(x)<g(x)[/tex] to be true, the domain is given by observing the graph of two i.e. [tex]x\in (-1.981,3.117)[/tex]. In this range [tex]g(x)[/tex] is greater than [tex]f(x)[/tex].

From the above domain largest integer that can satisfy the condition is 3.

Answer:

Yes

Step-by-step explanation:

Given that

Y = 10x

we need to find that whether it is a proportional or not

So here we can say that proportional relationship would be expressed in the form of

y = kx

And, k represent the constant

Therefore

y = kx equivalent to Y = 10x

Both the expression is same

Therefore it is proportional

Answer:

16.67%

Step-by-step explanation:

Answer:

Clint would have to run 127 yards next game to average the same number of yards as Jack.

Step-by-step explanation:

First, we find the boys' averages by adding all their yards and then dividing by the number of games.

For Jack, we get 490 yards in total, which we divide by 5, the number of games. We get a 98 yard average.

For Clint, we get 461 yards in total, which we divide by 5, the number of games. We get a 92.2 yard average.

We know Clint wants to average 98 yards at the end of the next game. That would make 6 games total. We can multiply 98 x 6 to get the total number of yards for a 98 yard average in 6 games. We get 588 yards in total. Clint already ran 461 yards in total, so we can subtract that from 588. We have 127 yards left. We now know that Clint needs to run 127 yards in the next game for a 98 yard average.

The number of yards that client needs to run in his next game to average the same number of yards as jack will be 127.

The mean is the average of a data set. Mean gives us an idea of that how small the amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Mean = sum of data / Number of data

The average of Jack = (123 + 87 + 108 + 80 + 92)/5 = 98

The average of Clint = (88 + 101 + 96 + 92 + 84)/5 = 92.2

To make this average 98 let's say Clint's score in the next game is x.

Mean = (88 + 101 + 96 + 92 + 84 + x)/6 = 98

(92.2 x 5 + x) = 98 x 6

x = 127

Hence"Clint needed to add 127 to be mean as same as Jack".

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Answer:

12a

Step-by-step explanation:

Use the distributive property and distribute 3 into 4a.

The expanded form of the expression 3(4a) is, 12a.

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, An expression 3(4a),

We know in algebra we write multiplications a×b as, ab or a.b.

Therefore, the expanded form of the expression 3(4a) is,

= 3×4×a.

= 12×a.

= 12a.

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Answer: The perimeter is 20 cm

Step-by-step explanation: The top and bottom are same length, so 6+6, and the sides are the same length, so 4+4 don’t forget it’s cm and it becomes 20 cm.

PERIMITER = ADDING ALL SIDES

AREA = MULTIPLYING

Answer:

48

Step-by-step explanation:

Double the product of 4y and 3b

2 * ((4y) * (3b))

y = 2 and b = 1

2 * ((4 * 2) * (3 * 1))

2 * (8 * 3)

2 * 24

48

Answer:

Step-by-step explanation:

sinA= 8/10= 4/5

CosB= 8/10=4/5

tanB=6/8=3/4

Answer:

third option: PQ = 1/4(YZ)

Step-by-step explanation:

By the Midsegment Theorem, a midsegment is 1/2 the side across it. Using this, we can say:

In triangle XYZ, AB = 1/2(YZ)

And in triangle XAB, PQ = 1/2(AB)

We can substitute AB into the second equation to get:

PQ = 1/2(1/2(YZ))

PQ = 1/4(YZ)

This is the third option.

Answer:

x = 59°

Step-by-step explanation:

The square symbol shown in the angle means that it is 90°. We can say that the angle x - 7 and 38 add up to 90 because of that. We can set up an equation to model the situation:

x - 7 + 38 = 90

x + 31 = 90

x = 59°

Answer:

(-4,-2)

Step-by-step explanation:

B(3,4)

x=3 , y=4

(3-7,4-6)

(-4,-2)

Transformation involves changing the position of a shape.

The coordinates of B after the translation is (-4,-2)

The vertices are given as:

[tex]\mathbf{A =(1,1)}[/tex]

[tex]\mathbf{B =(3,4)}[/tex]

[tex]\mathbf{C =(-1,8)}[/tex]

The translation rule is given as:

[tex]\mathbf{(x-7,y-6)}[/tex]

So, the coordinates of B' is calculated using:

[tex]\mathbf{(x,y) \to (x-7,y-6)}[/tex]

This gives

[tex]\mathbf{(3,4) \to (3-7,4-6)}[/tex]

[tex]\mathbf{(3,4) \to (-4,-2)}[/tex]

Rewrite as:

[tex]\mathbf{B' = (-4,-2)}[/tex]

Hence, the coordinates of B after the translation is (-4,-2)

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Answer:

I beileve it is Y.

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation MARK AS BRAINLIEST!!

Answer: C/ The third one

Step-by-step explanation:

Answer:

Linear function 2

Step-by-step explanation:

If Linear function 1 has an x-intercept of 4,0 and a y-intercept of 0,22

It's a negative equation, Its not increasing Its decreasing.

So it must be Linear function 2

Answer:

13 True

14 Sometimes

15 Never

Step-by-step explanation:

All equilateral triangles must have 60 degree angles

Sometimes a acute triangle can have 2 acute angles

Obtuse angles take up majority of the mesuares in the triangle. All triangles must have 3 angles equal up to 180 degrees

Answer:

the answer is

8:24

Step-by-step explanation:

hope it helps