Katie deposited $1,000 in the bank for 6 years. She earned a simple interest rate of 1.5%. How much interest did she earn?

Answer:

Step-by-step explanation:

Given:

  [tex]f(x)=\dfrac{1}{8}x^3\\\\g(x)=2x^{\frac{1}{3}}[/tex]

We find that ...

  [tex]f(g(x))=\dfrac{1}{8}(2x^{\frac{1}{3}})^3=\dfrac{1}{8}(2^3)(x^{\frac{3}{3}})=\dfrac{8}{8}x\\\\\boxed{f(g(x))=x}\\\\g(f(x))=2\left(\dfrac{1}{8}x^3\right)^{\frac{1}{3}}=2\left(\dfrac{1}{8^{\frac{1}{3}}}\right)(x^{\frac{3}{3}})=\dfrac{2}{2}x\\\\\boxed{g(f(x))=x}[/tex]

__

So, the statements that apply are ...

Answer:

A, D, E

   The simplified expression for f(g(x)) is x.

   The simplified expression for g(f(x)) is x.

   The functions are inverses of each other.

Step-by-step explanation:

Got it right on edg :)

Answer:

An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed

Answer:

38.6

Step-by-step explanation:

Answer:

13909416897778.08 cm

Step-by-step explanation:

Answer:

13909416897778.08 cm

Step-by-step explanation:

Answer:

1 11/16

Step-by-step explanation:

Answer:

1 11/16

Step-by-step explanation:

Convert mixed numbers into improper fractions:

-4 1/2

Step 1: whole number x denominator + numerator

-4 x 2 + 1 = -9

Step 2: write that number over your original denominator

-9/2

Step 3: repeat for other fraction

-2 2/3

-2 x 3 + 2 = -8

-8/3

Step 4: copy, dot, flip

-9/2 × -3/8

Step 5: solve

27/16

Step 6: convert back to mixed number

1 11/16

*note* Negative x negative = positive

Answer: 3/125

Step-by-step explanation:

Answer:

24/1000

Step-by-step explanation:

Step 1:

2 2/5% = 2.4%

Step 2:

2.4% = 0.024

Step 3:

0.024 = 24/1000

Answer:

24/1000

Hope This Helps :)

Answer:

The sun released a strong burst of water vapor. As Earth cooled, water in the atmosphere condensed. Materials collided due to strong gravitational forces. The ozone layer formed to protect against harmful UV ray exposure

Step-by-step explanation:

Answer:

As Earth cooled, water in the atmosphere condensed

Step-by-step explanation:

dues to high temps, water evaporated.

as the earth's surface cooled, water condensed and formed oceans

rocks hardened to form continents

Answer:

LCM of 12 and 3 is 12

Step-by-step explanation:

hope it helps you vhprince

Answer:3x-15-5x-5

-2x-20

Step-by-step explanation:

Answer:

-2x-20

Step-by-step explanation:

Expand 3(x-5) : 3x-15

Do not forget there is a subtraction sign in the middle.

Expand 1/2(10x+10) : 5x+5 : 5(x+1)

= 3x - 15 - 5(x+1)

Expand -5(x+1) : -5x-5

= 3x-15 - 5x - 5

Simplify 3x-15-5x-5 by adding like terms: -2x-20

= -2x-20

Answer:

using question mark as reference angle

Base = 13

hypotenuse = 18

usimg trigonometric ratios

cos? = B/h

? = inverse(13/18) = 43.74 = 44°

Step-by-step explanation:

Here, we are given with two sides and the triangle is a right angled triangle. Here, we can use trigonometry to find the missing angle.

According to missing angle, cos theta can be used because we are given with base and hypotenuse. No need to find the perpendicular.

[tex] \cos( \theta) = \frac{base}{hypotenuse} \\ [/tex]

[tex] \cos( \theta) = \frac{13}{18} [/tex]

Now for finding the missing angle theta, inverse of cosine will be applied on the other side. Because, inverse of multiplication is division.

[tex] \theta = \cos {}^{ - 1} ( \frac{13}{18} ) [/tex]

[tex] \theta = \cos {}^{ - 1} (0.7222222222) [/tex]

[tex] \boxed{ \theta \approx \: 43.76174269 \degree}[/tex]

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Answer:

The 3 mile cab ride includes a basic charge as well as the cost for the distance covered. For a 6 mile trip, the cost ...

Answer: y=2x+1

Step-by-step explanation:

To solve for y, we want to use our algebraic properties to isolate y.

16x+9=9y-2x               [add both sides by 2x]

18x+9=9y                     [divide both sides by 9, divide to each term]

2x+1=y

Now, we know that y=2x+1.

Answer:

no thx and thx for the points

Step-by-step explanation:

The required equivalent ratio of the given ratio is 3/5.

Given that,
The ratio that is equivalent to 9 to 15 is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Mentioned ration,
= 9 / 15
Reducing the expression by eliminating the common factors
= 3 / 5

Thus, the required equivalent ratio of the given ratio is 3/5.

Learn more about ratios here:

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Answer:

205.599

Step-by-step explanation:

Answer:

205.599 yards

Step-by-step explanation:

1 meter = 1.09361 yards

Multiply 188 meters by 1.09361 yards

188 meters = (1.09361 yards) x (188 meters)

                   = 205.599 yards

Step-by-step explanation:

sin⁴A + sin²Acos²A = sin²A

Proving the left hand side ( LHS)

That's

sin⁴A can be written as ( sin²A)(sin ²A)

So we have

( sin²A)(sin ²A) + sin²Acos²A

Next factor sin²A out

That's

sin²A ( sin²A + cos²A)

Using trigonometric identities

That's

Simplify the expression

That's

sin²A × 1

We have the final answer as

As proven

Hope this helps you

Answer:

t+26=25

t= 26-25 = 1

Step-by-step explanation:

Answer: If interest is not given, it would be 25,000+ interest as your answer

Step-by-step explanation:

Answer:

Dryer cost $475;  Washer cost $382

Step-by-step explanation:

For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).

We are given the washer and dryer cost $857 together.

x + y = 857

We are also given that the washer cost $93 less than the dryer.

x = y - 93

So to find the cost of the dryer, we simply need to find the value of y.

x + y = 857

x = y - 93

( y - 93 ) + y = 857

2y - 93 = 857

2y = 950

y = 475

So now we have the value of the dry to be $475.  We can check this by simply plugging in the value and see if it makes sense.

x + y = 857

x + 475 = 857

x = 382

And check this value:

x = y - 93

382 ?= 475 - 93

382 == 382

Therefore, we have found the values of both the washer and the dryer.

Cheers.

The cost of the dryer is $475 and the cost of the washer is $382.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a washer and a dryer cost $857 combined.

Let the cost of dryer be x.

The washer costs $93 less than the dryer.

Then, the cost of washer will be x-93

So, x+x-93=857

2x=857+93

2x=950

x=$475

x-93=475-93

= $382

Hence, the cost of the dryer is $475.

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Thousandths is the 3rd decimal place

The answer is 3.008

Answer:

{(-1,0),(-8, 9), (7,0), (1,3)}

Step-by-step explanation:

number 3 is the only one with no colliding outputs.

Answer: 8 inches

Step-by-step explanation:

320π in³= π (r²) (5 in)

64 in² = r²

r = 8 in

Answer:

34

Step-by-step explanation:

1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then

2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;

3. according  to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;

4. if to make up the system of two equation and calculate the values of 'x' and 'y':

5. if x=34, then Caleb is 34 old now.

Answer:

the answer is D and a

Step-by-step explanation:

please mark me as a brainlist...

Answer:

Step-by-step explanation:

Given the sequence :

23, 19, 13, 5, -5.......

From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.

19 - 23 = -4

13 - 19 = -6

5 - 13 = -8

-5 - 5= -10

Hence an constant difference of - 2 after each successive difference.

Hence, this is a quadratic sequence

With the formula

an² + bn + c

Answer:

5

Step-by-step explanation:

First find the number that have their own cell phone

1/4 * 40 = 10

There are 10 students with their own cell phone

1/2  of the 10 can use social media

1/2 * 10  =5

5 have their own cell phone and can use social media

Answer: 10 students have a cell phone and only 5 of them can use social media

Step-by-step explanation: We see there are 40 students in total and 1/4 OF the class have their own cell phone. The OF means multiplacation so we do 40 X 1/4 which is 10 students who have their cellphone. We then again see 1/2 OF the 10 students can use social media meaning we do 10 X 1/2 which is equal to 5 students out of the 10 can use social media.

Answer:

The three components you should look for when examining distributions of numerical data are Shape, center, and spread

-Source(I took AP statistics in senior year of high school and passed the AP test)

The three components for examining distributions of numerical data are Shape, centre, and spread.

What is distribution of data?

A normal distribution is a common probability distribution. It has a shape often referred to as a "bell curve." Many everyday data sets typically follow a normal distribution: for example, the heights of adult humans, the scores on a test given to a large class, errors in measurements.

When examining the distribution of a quantitative variable, one should describe the overall pattern of the data (shape, centre, spread), and any deviations from the pattern (outliers). When describing the shape of a distribution, one should consider: Symmetry/skewness of the distribution Peakedness (modality) - the number of peaks (modes) the distribution has. Not all distributions have a simple, recognizable shape. Outliers are data points that fall outside the overall pattern of the distribution. It is always important to interpret the features of the distribution (as they appear in the histogram) mean in the context of the data.

Hence, The three components for examining distributions of numerical data are Shape, centre, and spread.

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Answer:

69

Step-by-step explanation:

Since there are 25 values, then n=25.

Now, calculate the index: 

i=p/100n=53/100⋅25=53/4.

Since the index i is not an integer, round up: i=14

The percentile is at the position i=14. So, the percentile is 69.

Answer:

no because natural numbers are positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well. not variables