Kenny has $500 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much interest will he earn in 1 year?

Answer:

13/42.

Step-by-step explanation:

That would be the sum of the 2 fractions:

1/6 + 1/7

= 7/42 + 6/42

= 13/42.

Answer:

x<-11.25

Step-by-step explanation:

you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.

Answer:

x < -45/4 or it can be written as ( -infinity, -45/4 )

Step-by-step explanation:

12x - 3 < -138

12x < -135

x < -45/4

or x < -11.25

Answer:

Step-by-step explanation:

I would REALLY try to explain, but I can't find any explanation.

If this is my best, give other person brainliest.

Answer:

Exact form would be 1/64

Decimal form would be 0.015625

Step-by-step explanation:

Answer:

BBCADD that is the awnser

Step-by-step explanation:

or a triangle XD

Answer:

135 miles in 3 hours, or 45 miles an hour

Step-by-step explanation:

well, if it travels 90 miles in 2 hours, than how many does it do in one?

90m/2h=45 miles in ONE hour.

Given that info, we can solve for 3 hours.

If ONE hour is 45, then THREE hours is just 45*3=135

135 miles in 3 hours, or 45 miles an hour

Answer:

90 miles in 2 hours

45 miles per hour

135 miles in 3 hours

Step-by-step explanation:

Bro come on simple maths

Answer:

3.5

Step-by-step explanation:

The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores

We use the BODMAS method to solve the given questions.

Solve the Bracket then Divide Multiply Add and Subtract

1. 32÷4×(16×1/2) - 2

= 32÷4 × ( 8 ) - 2

= 8 × 8 - 2 = 64 - 2 = 62

2. 20 ÷ (5×2/5) + 3

= 20 ÷ (2) + 3 = 20 ÷ 2 + 3

= 10 + 3 = 13

3. 1/2 ×(6×4) ÷ 3 + 2

= 1/2 × 24 ÷ 3 + 2

= 1/2 × 8 + 2

= 4 + 2 = 6

4. 2 (6÷2+8) - 4

= 2 (3+8) - 4

= 2 × 11 - 4

= 22 - 4

= 18

Answer:

165 cm³

Step-by-step explanation:

330 cm³ × 1/2 = 165 cm³

Answer:

96

Step-by-step explanation:

Answer:

22.9

Step-by-step explanation:

Using the sin formula you can figure out the far side of the pole. Since one would be 28, the hyponetuse, and the angle is 55 degrees you should do sin 55 = x/28.

Draw a rhombus with the diagonals.

4 right triangles are formed.

The intersection of the diagonals of a rhombus form 90 degree (right) angles (property of a rhombus).

The diagonals of a rhombus bisect each other. This means that they cut each other in half.

So, each of the right triangles have one side = 1, one side = 2.5 and the hypotenuse = unknown (sides of the

rhombus).

Triangle 1. ABC

side a = 2.5, side b = 1

tan A = a/b = 2.5/1 = 2.5

tan A = 2.5

tan 68.2 deg = 2.5

Since, angle C = 90 and angle A = 68.2

angle B = 21.8 deg. (180 - (90 + 68.2))

Since the diagonals bisect angles in each corner of a rhombus (property of a rhombus), therefore, one corner angle is 68.2 + 68.2 = 136.4 deg. and the same side other corner angle is 21.8 + 21.8 = 43.6 deg.

Adjacent sides (ones next to each other) of a rhombus are supplementary. This means that their measures add up to 180 degrees.

Therefore, the opposite corners are

180 - 136.4 = 43.6 and

180 - 43.6 = 136.4.

So, the four angles are,

----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you"

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Have a great day!

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Answer:

An=A(n-1)-4 where A=7

Step-by-step explanation:

Answer:

10,11.25,15

Step-by-step explanation:

we use linear scale factor you had mentioned that the triangles are similar so the smallest side in the first triangle is 8 and in tje other triangle it is 10

those two sides are equal which means 8 is equal to ten so if 8 is equal to 10 what about 9.if you cross multiply you get 11.25 then you do the same for 12 and get 15

8=10

9=11.25

12=15

The consumer will pay $31.91 as an interest.

Initial balance = $2,530.16

Daily interest rate = 0.042%

Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments

So, balance at the end of the first day = 2530*(1.00042)¹

balance at the end of the second day =  2530*(1.00042)²

Similarly, balance at the end of the 30th day =  2530*(1.00042)³⁰

Balance at the end of the 30th day = $2562.07291

So, interest levied =  $2562.07291 -  $2,530.16

Interest levied = $31.91

Therefore, the consumer will pay $31.91 as an interest.

To get more about simple interests visit:

https://brainly.com/question/2294792

Answer:

  a/(a-4)

Step-by-step explanation:

Simplifying generally means expressing the rational function over a common denominator. Factoring the second term can help us see what that common denominator should be.

___

  [tex]\dfrac{3a}{a+4}-\dfrac{2a^2-16a}{a^2-16}=\dfrac{3a(a-4)}{(a-4)(a+4)}-\dfrac{2a(a-8)}{(a-4)(a+4)}\\\\=\dfrac{a(3(a-4)-2(a-8))}{(a-4)(a+4)}=\dfrac{a(3a-12-2a+16)}{(a-4)(a+4)}\\\\=\dfrac{a(a+4)}{(a-4)(a+4)}=\boxed{\dfrac{a}{a-4}}[/tex]

Answer:

10

Step-by-step explanation:

First we figure out the area of the triangle!

8 x 6 = 48

48/2 = 24

Now we multiply to figure out the area of the rectangle :)

24 x 5 = 120

Now we divide 120 by 12 to figure out the width!!

120/12 = 10

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

10

Step-by-step explanation:

area of triangle = 1/2 x 8 x 6 = 24

area of rectangle = 5 x 24= 120

area of rectangle = length x width

120 = 12 x w

w = 10

Using a geometric sequence, it is found that:

a) The explicit formula is: [tex]a_n = 250000(2.1)^{n-1}[/tex].

b) The value of her collection 9 years after she started tracking is of $94,557,148.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

Item a:

Three years ago, her collection was worth $250,000, hence the first term is [tex]a_1 = 250000[/tex].

In two years, the collection was valued at $1,102,500, hence the common ratio is:

[tex]q^2 = \frac{1,102,500}{250,000}[/tex]

[tex]q^2 = 4.41[/tex]

[tex]q = \sqrt{4.41} = 2.1[/tex].

Hence, the explicit formula is:

[tex]a_n = 250000(2.1)^{n-1}[/tex]

Item b:

[tex]a_9 = 250000(2.1)^{9-1} = 94557148[/tex]

The value of her collection 9 years after she started tracking is of $94,557,148.

More can be learned about geometric sequences at https://brainly.com/question/11847927

Answer:

20.87 hours

Step-by-step explanation:

Speed = distance/ time

We need to find the speed of the boat which is ...

s = 345/24

s = 14.374km/hour

so to find how long it takes to travel 300 km we....

time = distance/speed

t = 300/14.375

=20.869

= 20.87

Answer: 0.00459

Step-by-step explanation:

Answer:

1/2

Cameron made :

[tex]\sf \hookrightarrow \dfrac{2}{5} *160[/tex]

[tex]\sf \hookrightarrow 64 \ cookies[/tex]

Lindsey made :

Together:

Left to make:

Total made:-

Cookies left:-

Fraction:-

Answer:

After 3 years, Dakota will have $674.09 total.

Answer:

Let the number be x

when it is 8less than 4times the x the inequality equation we get is:

4x-8<56 (since it says it's less than 56)

4x<56+8

4x<64

x<64÷4

x<16

the possible values are all numbers less than 16

Area of the triangle

Area of rectangle:-

Area of semicircle

Total:-

Answer:

1757 ft²

Step-by-step explanation:

Formulae

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of a semicircle = 1/2 πr²

To find the shaded area:

Add the area of the rectangle, the area of the triangle, and the area of the semicircle.

Area of the rectangle:

= 20 x 50

= 1000 ft²

Area of the triangle:

= 1/2 x (10 + 50) x 20

= 1/2 x 60 x 20

= 30 x 20

= 600 ft²

Area of the semicircle:

= 1/2 π(20 ÷ 2)²

= 1/2 · 3.14 · 10²

= 1/2 · 3.14 · 100

= 157 ft²

Shaded area:

= area of rectangle + area of triangle + area of semicircle

= 1000 + 600 + 157

= 1757 ft²

Answer:

999,000

Step-by-step explanation:

We need to find the number that is one thousand (1,000) less than one million (1,000,000).

Answer:

999000

Step-by-step explanation:

1 million - 1000 or 1 million less is 100,000

The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let f and g representing the approximate number of viewers, in millions,  x weeks after the tracking begins.

The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

B) the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.

Step-by-step explanation:

Age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid. Therefore, option D is the correct answer.

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

A confidence interval is used to estimate an unknown population parameter, such as the mean, from a sample. It does this by providing a range of values within which the true population parameter is likely to lie. To use a confidence interval, the assumptions of the underlying distribution must be valid. In this case, the distribution of the ages of the Swiss and Austrian psychiatrists is likely to be skewed, meaning that it does not follow a bell shaped distribution. This makes the assumptions for using the confidence interval formula invalid and thus the procedure is not appropriate in this context.

Therefore, option D is the correct answer.

To learn more about the confidence interval visit:

https://brainly.com/question/14041846.

#SPJ2

For the request of the client who wants his wedding photos to create an online album for his family and friends, the most suitable format would be JPG.

When we work with digital files in technological devices we can find different formats for our files, these formats include images, videos, audio, texts, among others.

Formats exist to differentiate files and specify which programs can open and modify these files. In the case of images, files are generally created in JPG, PNG or other formats.

Therefore, the most appropriate file to send these photos to the client would be JPG because they are not so heavy and have a good definition. In addition, what we must do is create a folder on a cloud storage page and share it with the client so that they have unlimited access to the photos.

Learn more about formats in: https://brainly.com/question/11523374