Correct answers only please!

To the nearest cent, how much interest will she earn in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

9514 1404 393

Explanation:

Understanding what a variable stands for is essential when substituting values or interpreting answers.

__

For example, consider the equation for arc length:

  s = rθ

The variables stand for ...

For proper use of this formula, it is essential to understand that the variables s and r have the same units of length. The angular measure is not degrees (or grads), but is the unitless measure of angles known as radians.

It would be erroneous to use feet or yards for 'r' and expect the arc length 's' to be in miles. Similarly, it would be erroneous to substitute 30° for θ, instead of the equivalent radian measure π/6.

These errors can be avoided if the variables are properly described.

Answer:

Step-by-step explanation:

Emma jogs 2 miles along the beach in 1/3 of an hour. At a constant rate, the distance that she jogs on 1 hour would be

Let x represent the number of mikes that she would jog in 1 hour.

If 2 miles = 1/3 of an hour, then

x = 1 hour

Cross multiplying, it becomes

x × 1/3 = 2 × 1

x/3 = 2

x = 3 × 2 = 6 miles

The equivalent rate with a denominator of 1 is 6/1 miles

Answer:

The Answer Is 6.  

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Answer:

x = 2,444

Step-by-step explanation:

3(12x - 24) = 16

36x - 72 = 16

36x = 16 + 72

36x = 88

x = 88/36

x = 2,444

Answer:

0.3

Step-by-step explanation:

Given:

Number of small dogs = 18

Number of medium-sized dogs = 12

Number of large dogs = 10

To find: probability that a medium-sized dog will be chosen

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favourable outcomes/total number of outcomes

Total number of dogs = 18 + 12 + 10 = 40

Number of medium-sized dogs = 12

So,

probability that a medium-sized dog will be chosen = Number of medium-sized dogs/Total number of dogs = [tex]\frac{12}{40}=0.3[/tex]

Answer:

0.3

Step-by-step explanation:

the answer is 32 ounces  this same queston is in my notes

hope it likes you...

Answer: 24 units^2

(12*4)/(2)=24

Step-by-step explanation:

Answer:

Step-by-step explanation:

4*12/0.5=96

The height of a rectangular prism is 8.3 cm.

The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.

We have,

Surface Area = 288 square cm

Base length = 4 cm and width = 9 cm

So, SA of rectangular prism

288 = 2(lw+ wh + lh)

144 = (36 + 9h + 4h)

13h = 144- 36

13h = 108

h = 8.30 cm

Learn more about Surface area here:

https://brainly.com/question/29298005

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Answer:

x^2(4+x)

Step-by-step explanation:

you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations

Answer:

530 ft.

Step-by-step explanation:

π(r)^2

3.14(13)^2

= 530.66 rounded to the nearest whole number

= 530

Answer: False

Step-by-step explanation:

Answer:

a . 9/25

b. 13/25

c. 3/5

Step-by-step explanation:

Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls

P(R) = number of red/total number of balls = 3/5

P(B) = number of blue/total number of balls = 2/5

Since the experiment is with replacement, whatever ball picked would be returned

a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25

b. Probability of both balls being same color;

That is : probability of both balls being red or both being blue

Mathematically that would be;

P(R) * P(R) or P(B) * P(B)

whenever we have or in probability, what we do is to add ;

= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25

C. at least one of the balls is red

what this means is that both are red or one of the two is red.

Mathematically;

P(R) * P(R) or P(B) * P(R)

= (3/5 * 3/5) + (3/5 * 2/5)

= 9/25 + 6/25 = 15/25 = 3/5

Answer:

100÷12=50÷6=25÷3

Step-by-step explanation:

the answer is 25÷3

Answer:

35

Step-by-step explanation:

11 × 3 = 33

+ 2 = 35

Robin is 11 (11)

Gwen is 2 years (+2) more than 3 times (×3) Robins age

Answer:

35.

Step-by-step explanation:

Hello there!

Solve the given equation to find Gwen's age:

3(11)+2

33+2

35

:)

Hello!

[tex]\boxed{ \bf Sheila~will~need~about~7~containers.}[/tex]

__________________________________________________

First, we will need to convert the mixed fractions to improper fractions.

Numerators: (2 · 11) + 1 = 23

                      (4 · 1) + 3 = 7

Denominators: stay the same.

11 [tex]\frac{1}{2}[/tex] ⇒ [tex]\frac{23}{2}[/tex]

1 [tex]\frac{3}{4}[/tex]  ⇒ [tex]\frac{7}{4}[/tex]

Next, we must divide these two fractions:

[tex]\frac{23}{2}[/tex] ÷ [tex]\frac{7}{4}[/tex]

We must flip the divisor into a reciprocal:

[tex]\frac{23}{2}[/tex] ÷ [tex]\frac{4}{7}[/tex]

Change the division sign to multiplication and multiply:

[tex]\frac{23}{2}[/tex] × [tex]\frac{4}{7}[/tex] = [tex]\frac{92}{14}[/tex]

To find out how many containers will be needed, simply convert this fraction to a decimal by dividing the numerator by the denominator.

92 ÷ 14 = 7 (Rounded)

Answer: I am confused in so many ways...

Answer:

The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 94, \pi = \frac{27}{94} = 0.2872[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 - 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.1786[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 + 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.3958[/tex]

The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).

Answer:

x=8

Step-by-step explanation:

2.25x=1.5x+6

-1.5x     -1.5x

0.75x=6

3/4x=6

x=6*4/3

x=24/3

x=8

Answer:

8

Step-by-step explanation:

Look at the attachment

Answer:

4x^2−4x+7

Step-by-step explanation:

Let's simplify step-by-step.

4x^2−10x+9+6x−2

=4x^2+−10x+9+6x+−2

Combine Like Terms:

=4x^2+−10x+9+6x+−2

=(4x^2)+(−10x+6x)+(9+−2)

=4x^2+−4x+7

Answer:

=4x^2−4x+7

Answer:

A

Step-by-step explanation:

Answer:

Arc EPF is 240°

Step-by-step explanation:

Since the quadrilateral, EFGH is a trapezoid and EF is parallel to GH, we have;

∠HGF + ∠GFE = 180°

∠GHE + ∠GFE = 180°

∠HGF + ∠HEF = 180°

∴∠HEF = ∠GFE

In ΔHEF and ΔGFE

∠EHF = ∠EGF (Angles subtending the same segment)

With side EF common to both triangles and ∠HEF = ∠GFE , we have;

ΔHEF ≅ ΔGFE (Angle Angle Side rule)

Hence, side FG = EH

For cyclic trapezoid side FG = EH

The base angles subtended by GH = 70

Arc EH = x² - 2·x

Arc FG = 56 - 3·x

Therefore;

70 + x² - 2·x + 56 - 3·x + arc EPF = 360 .............(1)

Also since the equation of a circle is (x-h)² + (y-k)² = r², where the center of the circle is (h, k), then as EF is a displacement of say z from GH, then arc EH = FG which gives;

x² - 2·x = 56 - 3·x

x² - 2·x - 56 + 3·x = 0

x² + x - 56 = 0

(x - 7)(x + 8) = 0

Therefore, since x > 0 we have x = 7

Plugging in the value of x into the equation (1), we have

70 + 7² - 2·7 + 56 - 3·7 + arc EPF = 360 .............(1)

70 + 70 + arc EPF = 360

arc EPF = 360 - 140 = 240°.

Answer:

...

Step-by-step explanation:

(x-1) will cancel each other so the answer is the last one

Answer:

295.2 cm^3

Step-by-step explanation:

Volume of a prism = length * width * height.

Here the volume = 4.8 * 4.1 * 15

= 295.2 cm^3.

The volume of rectangular prism is 295.2[tex]cm^{3}[/tex]

A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

According to question

Length of rectangular prism = 4.8cm

Breath of rectangular prism = 4.1cm

Height of rectangular prism = 15cm

Volume of rectangular prism = Length * Breath * height

= 4.8*4.1*15

= 295.2[tex]cm^{3}[/tex]

Hence, Volume of rectangular prism is 295.2[tex]cm^{3}[/tex]

To know more about rectangular prism here :

https://brainly.com/question/21308855

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Answer:

less than

[tex]1 \frac{1}{2} [/tex]

I believe

Answer: 10.9 cm

Step-by-step explanation:

The equation to find the area of a triangle is

Base x height x 1/2 = area

Since you are given the area, rearrange or “do the opposite” to find the base

(Area x 2 ) / height = base

30 x 2 = 60

60/ 5.5 = 10.9

Hope this helped :)

Answer:

A cube

Step-by-step explanation:

Answer:

triangle and rectangle .

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Use PEMDAS for this:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

-4(3-5)+10-3(7+4)+30 ​= -4(-2)+10-3(11)+30

-4(-2)+10-3(11)+30 = 8+10-33+30

8+10-33+30 = 18-33+30

18-33+30 = -15+30

-15+30 = 15

Answer:

twenty six units putfghdjk

Answer:

c

Step-by-step explanation:

Answer:

the height of the tree is about 151 meters

Answer:

The least number of package of cap required is 15, while that of shirt is 9

Step-by-step explanation:

Total number of members = 45

The cap comes in package of 3

The shirt comes in package of 5

The least number of the package of caps they need to order is =?

Since they're 45 in numbers, we can divide 45 by 3 to know the total number of package required to go round.

Number of package of caps = 45 / 3

Number of package of caps = 15

We can also go ahead and find the number of package for shirt required by using the same method, only this time we'll divide it by 5 instead of 3

Number of package for shirt = 45 / 5

Number of package for shirt = 9

Therefore, the least number of package of caps required is 15 while that of shirt is 9

Answer:

24

Step-by-step explanation:

Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.