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quester [9]
3 years ago
11

Jim's Gym had income of $20,350 last month. The total increased by $2,000 this month. What was the percent increase to the neare

st percent?
F. 11%
H. 7%
G. 10%
J. 6%
Mathematics
1 answer:
Vikki [24]3 years ago
7 0

Answer:

G. 10%

Step-by-step explanation:

Given,

Last month income = $20350

Increment = $2000

For finding increased percentage, we should have to divide the increment by monthly income and multiply it with 100.

Increased percentage = \frac{increment}{Last\ month\ income}\times100

\therefore increased\ percentage=\frac{2000}{20350} \times100\\\\ increased\ percentage=\frac{200000}{20350}=9.82\approx10\%

Thus the increase in the income of Jim is 10%.

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Step-by-step explanation:

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in a random School sampling of 50 middle school students it was found that 18 students bring their lunch to school everyday if t
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Answer:

340

Step-by-step explanation:

We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.

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Can anyone help me please solving this maths problems not sure if. Thanks
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The reason you can only compare the numerators is because the denominators are the same- leaving little comparison to really make. The numerators will determine which fraction is greater or smaller.

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3 years ago
6. Two observers, 7220 feet apart, observe a balloonist flying overhead between them. Their measures of the
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Answer:

The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

Step-by-step explanation:

Let's call:

h the height of the ballonist above the ground,

a the distance between the two observers,

a_1 the horizontal distance between the first observer and the ballonist

a_2 the horizontal distance between the second observer and the ballonist

\alpha _1 and \alpha _2 the angles of elevation meassured by each observer

S the area of the triangle formed with the observers and the ballonist

So, the area of a triangle is the length of its base times its height.

S=a*h (equation 1)

but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.

S=S_1+S_2 (equation 2)

S_1=a_1*h

But we can write S_1 in terms of \alpha _1, like this:

\tan(\alpha _1)=\frac{h}{a_1} \\a_1=\frac{h}{\tan(\alpha _1)} \\S_1=\frac{h^{2} }{\tan(\alpha _1)}

And for S_2 will be the same:

S_2=\frac{h^{2} }{\tan(\alpha _2)}

Replacing in the equation 2:

S=\frac{h^{2} }{\tan(\alpha _1)}+\frac{h^{2} }{\tan(\alpha _2)}\\S=h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})

And replacing in the equation 1:

h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})=a*h\\h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}

So, we can replace all the known data in the last equation:

h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}\\h=\frac{7220 ft}{(\frac{1 }{\tan(35.6)}+\frac{1}{\tan(58.2)})}\\h=3579,91 ft

Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

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