Hazelhas$100inasavingsaccountthatearns10%interestperyear.Theinterestisnotcompounded.Howmuchwillshehavein1year? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Given:

A. Evaluate [tex]\dfrac{3}{8}x-4.5[/tex] when x=0.04.

B. Evaluate [tex]8.4n-3.2p[/tex] when n=2 and p=4.

To find:

The values of the given expression at the given values.

Solution:

A.

We have,

[tex]\dfrac{3}{8}x-4.5[/tex]

Putting x=0.04 in the above expression, we get

[tex]\dfrac{3}{8}(0.04)-4.5[/tex]

[tex]=0.015-4.5[/tex]

[tex]=-4.485[/tex]

Therefore, the value of the expression at x=0.04 is -4.485.

B.

We have,

[tex]8.4n-3.2p[/tex]

Putting n=2 and p=4 in the above expression, we get

[tex]8.4(2)-3.2(4)[/tex]

[tex]=16.8-12.8[/tex]

[tex]=4[/tex]

Therefore, the value of the expression at n=2 and p=4 is 4.

Answer:A 30-60-90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees. The key characteristic of a 30-60-90 right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads). The sides of a 30-60-90 right triangle lie in the ratio 1:√3:2.

Step-by-step explanation:

The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.

We have,

In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees.

The side lengths of a 30-60-90 triangle have a specific ratio.

Let's denote the length of the shortest side as x, the length of the side opposite the 60-degree angle as y, and the length of the hypotenuse as z.

The ratios of the side lengths in a 30-60-90 triangle are as follows:

Shortest side: x

Side opposite 60-degree angle: y = x√3

Hypotenuse: z = 2x

Given this ratio, we can determine which set of values could be the side lengths of a 30-60-90 triangle.

The values must satisfy the above relationships.

Possible sets of values for the side lengths of a 30-60-90 triangle are:

Set 1:

x = 1

y = x√3 = √3

z = 2x = 2

Set 2:

x = 2

y = x√3 = 2√3

z = 2x = 4

Set 3:

x = 3

y = x√3 = 3√3

z = 2x = 6

Set 4:

x = k (where k is any positive constant)

y = x√3 = k√3

z = 2x = 2k

These sets of values satisfy the ratios for a 30-60-90 triangle.

Remember that the ratios are consistent, so any positive constant can be chosen for the length of the shortest side (x), and the other side lengths (y and z) will follow accordingly.

So,

Any set of values that satisfy the ratios given above could be the side lengths of a 30-60-90 triangle.

Thus,

The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.

Learn more about triangles here:

https://brainly.com/question/25950519

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Answer:16% x 64

Step-by-step explanation:

Answer:10.24

Step-by-step explanation:

Answer:

Center of dilation → (0, 0)

Step-by-step explanation:

Vertices of a triangle ABC are A(3, 6), B(7, 6) and C(7, 3).

If this triangle is dilated by a scale factor of 'k' about the origin,

Rule for the dilation is,

(x, y) → (kx, ky)

If vertex A is dilated by a scale factor of 3 about the origin,

A(3, 6) → A'(3×3, 3×6)

           → A'(9, 18)

Therefore, center of dilation is origin (0, 0).

Answer:

6

Step-by-step explanation:

[tex]\frac{3}{4}[/tex]÷[tex]\frac{1}{8}[/tex]

[tex]=\frac{3}{4} \times \frac{8}{1}[/tex]

[tex]=\frac{3\times8}{4\times1}[/tex]

[tex]=\frac{24}{4}[/tex]

[tex]=\frac{24/4}{4/4}[/tex]

[tex]=6[/tex]

Answer:

I'm pretty sure you need more information, but I could be wrong

Step-by-step explanation:

Answer:

it's 74

Step-by-step explanation:

A and C are supplementary, that means that they add up to 180.

We know that A is 106, so if we take 180 and subtract 106 from it, we get 74.

Answer:

The answer is 3.

Step-by-step explanation:

A rational number means the number can be written as a fraction of two integers. [tex]5\sqrt{9}[/tex]=5*3=15, so it is the only rational number. The other answers cannot be written as a fraction of two integers.

Answer:

28/594 X 100= 4.7 %

15/426 X 100 =3.5%

27/664 X 100=4.1%

25/313 X 100=8%

they should eliminate brand d

Answer: 26

6 plus 7 is 13 so 13 x 2 is 26

Step-by-step explanation:

Answer:

6 x 2 = ?

6 x 2 = 1 2

Step-by-step explanation:

6 cups of milk and 2 cups of blueberries multiply them from each other and you get your answer .

Answer:

What is the question or image?

Step-by-step explanation:

Need it to solve

Answer:

Uh.. by just multiplying them.. 178x56= 9968

Step-by-step explanation:

Hav a gud day :P

Answer:

10..................

Answer:

1/4

Step-by-step explanation:

-2 2/5 + 3 1/4 - 3/5

-12/5 + 13/4 - 3/5 =

1/4

Answer:

14 and 1/4

Step-by-step explanation:

So the equation would be-

6 x 2 and 3/8

I would break this up, so

6 x 2 = 12

6 x 3/8 = 18/8

Simplify

18/8 = 9/4 = 2 and 1/4

12 + 2 and 1/4 = 14 and 1/4

Answer:

14 and 1/4

Step-by-step explanation:

Playing video games helps me if I have a rough time, I started around 2019. I play adventour type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)

hope this helps :))

Answer:

The required equation is [tex]\tan\theta=\dfrac{7}{5}[/tex].

Step-by-step explanation:

Consider the provided information.

The required figure is shown below:

It is given that the radius of the base is 5 inches and the height of the cone is 7 inches.

We need to given the equation which gives the measure of [tex]\theta[/tex].

Now consider the right angle triangle making an angle [tex]\theta[/tex].

[tex]\tan\theta=\frac{\text{Opp}}{\text{Adj}}[/tex]

[tex]\tan\theta=\dfrac{7}{5}[/tex]

Hence, the required equation is [tex]\tan\theta=\dfrac{7}{5}[/tex].

Answer:

(6,3)

Step-by-step explanation:

Here is the system of equations:

x+3y=15

4x+2y=30

Since we have x with a coefficient of 1 in the first equation, let's use substitution to solve this system.

In the first equation, subtract 3y from  both sides

x=-3y+15

now substitute -3y+15 as x in the second equation, and solve for y

4(-3y+15)+2y=30

do distributive property

-12y+60+2y=30

combine like terms

-10y+60=30

subtract 60 from both sides

-10y=-30

divide by -10

y=3

Now, substitute y as 3 into either one of the equations to solve for x.

For example, let's use x=-3y+15

x=-3(3)+15

multiply

x=-9+15

x=6

The answer is x=6 and y=3. As a point it's (6,3)

Hope this helps!

Answer:

48

Step-by-step explanation:

by dividing 9 by 6 you get 1.5 and by using distribution you also multiply 32 by 1.5 to get 48

Answer:

circumference of a circle = πd

π12 = 37.6991118

37.6991118/2 = 18.8495559

18.8495559 + 12 = 30.8495559

perimeter = 30.85

Answer:

-1

Step-by-step explanation:

To figure this answer out, you add 9 to -10, which is -1

Hope this helps

Answer:

(-7,-4)

Step-by-step explanation:

-6-1=-7

-9-(-5)=-4

Answer:

The answer is 65

Step-by-step explanation:

​First, determine the​ x-value that corresponds to the given year.

Since x corresponds to the number of years since​ 2000, the year 2009 corresponds to an​ x-value of 9.

​Next, find the​ y-value on the trend line that corresponds to an​ x-value of 9. The problem statement has been updated to show lines traced from the​ x-value of 9 to the trend line and then to the​ y-value.

Notice that the point​ (9,70) appears to lie on the trend line.

​Therefore, in​ 2009, approximately 70 million passengers travelled through the airport.

Question is complete.

Answer:

Step-by-step explanation:

gulp

Answer:

-5

Step-by-step explanation:

4(-3) + 7

-12+7

Answer:

f(-3) = -5

Step-by-step explanation:

f(x) = 4x + 7

f(-3) = 4(-3) + 7

f(-3) = -12 + 7

f(-3) = -5