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liq [111]
2 years ago
15

EP6. Abby works at a job that starts out paying $15 per hour. Each year she continues

Mathematics
1 answer:
Artemon [7]2 years ago
6 0

Answer:

$64.83.

Step-by-step explanation:

Each year the multiplier fffor her new rate will be 1.05.

So after 30 years her hourly rate will be  15 * 1.05^30

= $64.83

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51 is 33 1/3 of what number?
Makovka662 [10]

1700, just use the inverse operation. The problem would look like this ( not inverse operation ) x ÷ 33 1/3 = 51

All you have to do is multiply the two numbers.

51 x 33 1/3 = 1700

Now plug it back in and check

1700 ÷ 33 1/3 does indeed equal 51.


5 0
3 years ago
Yuri has 12 counters He put them in 2 equal group How many counters are in each group
Andrej [43]

Answer: 6


Step-by-step explanation:

Counter= *

All of counters

************

group one          Group Two

******                       ******

8 0
3 years ago
What is the volume of the prism 16cm 12 cm 8cm
Stella [2.4K]
I am not sure about the answer, but the formula of the prism is LxWxH
4 0
3 years ago
A metallic sphere is immersed in water in a cylindrical container causing a rise in the level of water by 7.5cm if the cylinder
SVETLANKA909090 [29]

Answer:

6.51 cm

Step-by-step explanation:

Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus    V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.

Since V = V',

4πr³/3 = πR²h

dividing through by π, we have

4r³/3 = R²h

multiplying both sides by 3/4, we have

r³ = 3R²h/4

taking cube-root of both sides, we have

r = ∛(3R²h/4)

Substituting the values of the variables into the equation, we have

r = ∛(3(7 cm)² × 7.5 cm/4)

r = ∛(3 × 49 cm² × 7.5 cm/4)

r = ∛(1102.5cm³/4)

r = ∛(275.625 cm³)

r = 6.508 cm

r ≅ 6.51 cm to 2 decimal places

3 0
3 years ago
Which of the following pairs of functions are inverses of each other ​
Ghella [55]

Option (A) represents the function and its inverse of a function option (A) is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function and inverse of a function shown in the picture.

Checking for option (A):

\rm f(x) = \dfrac{x}{4}+10 \ \ \ and \  \ \ g(x)  = 4x -10

Taking f(x):

\rm f(x) = \dfrac{x}{4}+10

To find the inverse of a function interchange the x and y variables:

f(x) → x

x  → g(x)

\rm x = \dfrac{g(x)}{4}+10

Solving:

4x = g(x) + 10

g(x) = 4x - 10

Similarly, we can find the inverse of a function.

Thus, option (A) represents the function and its inverse of a function option (A) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

8 0
2 years ago
Read 2 more answers
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