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Aleksandr-060686 [28]
3 years ago
14

In 2017, there were about 21 million teenagers (aged 13-17) in the United States. They each

Mathematics
1 answer:
vivado [14]3 years ago
5 0

The Number of text messages sent in a month is 1.68 × 10^{(-8)}

Step-by-step explanation:

Step 1 :

Total number of teenagers in United States = 21 million

Average text messages sent per month = 800

We need to find the number of text messages sent each month

Step 2 :

The number of text messages in a month can be computed by taking the product of the total number of teenagers and average messages sent per month

Therefore

Number of text messages that is sent in a month = 21 million ×  800

                                                                      = 21 × 10^{6} × 800

                                                                     = 168  × 10^{6} = 1.68 × 10^{(-8)}

Step 3 :

Answer :

The Number of text messages that is sent in a month is 1.68 × 10^{(-8)}

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Natasha is a bank teller. She received a 5% raise last year and a subsequent merit raise of 3% this year. What is the accumulati
Anvisha [2.4K]

Answer:

The correct answer is C. 8.15%.

Step-by-step explanation:

Given that Natasha is a bank teller, and she received a 5% raise last year and a subsequent merit raise of 3% this year, to determine what is the accumulative or compound effect of these two raises as a percentage, the following calculation must be performed, assuming, as an example, that her starting salary was $ 2,000:

(2,000 x 1.05) x 1.03 = X

2,100 x 1.03 = X

2,163 = X

2,000 = 100

2,163 = X

2,163 x 100 / 2,000 = X

216,300 / 2,000 = X

108.15 = X

108.15 - 100 = 8.15

Thus, the compound effect of both salary increases is a salary increase of 8.15%.

8 0
2 years ago
Which of the following do you need to make a box & whisker plot?
nikitadnepr [17]

Answer:

Median, box and whisker plots are all about the median

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help!! MathsWatch, Surd Expressions, Clip 207c
dexar [7]

Answer:

A=(72+36\sqrt{3})\ mm^2

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

b=AB+BC+CD+DE ----> by segment addition postulate

substitute

b=3+3+3+3=12\ mm

step 2

Find the height of rectangle

a=FB+CG+GH ---> by segment addition postulate

substitute the given values

a=3+CG+3\\a=6+CG

Find the length sides CG

Applying the Pythagorean Theorem

BG^2=BC^2+CG^2

substitute the given values

6^2=3^2+CG^2

CG^2=6^2-3^2

CG=\sqrt{27}\ mm

simplify

CG=3\sqrt{3}\ mm

therefore

a=(6+3\sqrt{3})\ mm

step 3

Find the area of rectangle

A=ab

we have

a=(6+3\sqrt{3})\ mm

b=12\ mm

substitute

A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2

8 0
3 years ago
5 and 1/4 divided by negative 6 simplify
Zanzabum

Answer:

-0.875

Step-by-step explanation:

5 1/4 = 5.25

5.25/ -6 = -0.875

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3 years ago
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Pleasssssssseeee help
astra-53 [7]
Rates like $ per channel is a slope, "m". The added fee is a constant so it's the intercept "b".
y = mx + b

So for the first problem (9)
(a)
y = total cost in dollars
x = number of premium channels
y = 16x + 44
(b) when x = 3 channels
y = 16(3) + 44
y = 92 $

the second problem (10)
(a) every 4 years the tree grows by 12-9=3 ft
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x = number of years
y = height of tree in ft
y = (3/4)x + b
use one of the points to find the y-intercept "b".

9 = (3/4)(4) + b
9 = 3 + b
9 - 3 = b
6 = b
y = (3/4)x + 6

(b) when x = 16
y = (3/4)(16) + 6
y = 12 + 6
y = 18 ft
5 0
3 years ago
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