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raketka [301]
2 years ago
11

Please help with explanation if anyone can

Mathematics
1 answer:
diamong [38]2 years ago
6 0

Answer:

3.7 million

Step-by-step explanation:

14,100,000 = 3,000,000 + 3p

3p = 11,100,000

p = 11,100,000 / 3

p = 3,700,000

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Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16
IrinaK [193]

Answer:

Jogging 6th time.

Step-by-step explanation:

We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.

We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.

We know that an arithmetic sequence is in form a_n=a_1+(n-1)d, where,

a_n = nth term of sequence,

a_1 = 1st term of sequence,

n =  Number of terms in sequence,

d = Common difference.

Let us find common difference of our given sequence as:

\frac{3}{8}-\frac{3}{16}\Rightarrow \frac{6}{16}-\frac{3}{16}=\frac{3}{16}

Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

1

Let us solve for n.

1

1

1\cdot \frac{16}{3}

5.333

n>5.333

We can also write next terms of our sequence as:

\frac{3}{16},\frac{6}{16}, \frac{9}{16},\frac{12}{16},\frac{15}{16},\frac{18}{16}

Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.

7 0
3 years ago
How do i solve x/2+1/3=x/3+1/2
stepladder [879]
X/2+1/3=x/3+1/2
x/2=x/3+1/2-1/3
x/2 - x/3 = 3/6 - 2/6
x/2 - x/3 = 1/6
3x/6 - 2x/6 = 1/6
x/6 = 1/6
x = 1/6 * 6

x = 1

8 0
3 years ago
Read 2 more answers
(Please help!!) Arnold is paid a graduated commission on sales. He earns 7% on sales up to $10,000 and 10% on sales over that am
Simora [160]

Answer:

Step-by-step explanation:

10000*7%= $700.00

2500-700=1800

1800 is 10% of 18,000

So 18,000 +10,000 = 28,000 in sales is needed to get $2,500 in commission.

4 0
2 years ago
Find the range of the function.<br><br> f(x) = (x + 5)2 + 8
Marizza181 [45]
Finding the vertex of the parabola
<span>y = (x + 5)^2 + 8  the vertex is at (-5, 8)
its coefficient so the parabola turns upward so  the range is  [8 , inf]</span>
6 0
3 years ago
A sumo wrestling ring is circular and has a circumference of 4 . 6 π meters 4.6π meters. What is the area A A of the sumo wrestl
LUCKY_DIMON [66]

Answer:

A=5.29\pi

Step-by-step explanation:

<u>Formula for circumference of a circle is</u>:

Circumference = 2\pi r


<em>Given circumference of the ring is 4.6\pi</em>

<em>Now solving for the radius gives us:</em>

2\pi r=4.6\pi\\r=\frac{4.6\pi}{2\pi}\\r=\frac{4.6}{2}=2.3


We know that area of a circle is \pi  r^2, substituting the value of r we found, we get the area as:

area (A) = \pi r^2\\\pi (2.3)^2\\\pi (5.29)\\=5.29\pi


Hence the Area (A), in terms of \pi is 5.29\pi

5 0
3 years ago
Read 2 more answers
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