Answer:
<h2>The distance to the Eath's Horizon from point P is 352.8 mi, approximately.</h2>
Step-by-step explanation:
You observe the problem from a graphical perspective with the image attached.
Notice that side
is tangent to the circle, which means is perpendicular to the radius which is equal to 3,959 mi.
We have a right triangle, that means we need to use the Pythagorean's Theorem, to find the distance to the Earth's Horizon from point P.
The hypothenuse is 3959 + 15.6 = 3974.6 mi.
![(3974.6)^{2}=x^{2} +(3959)^{2} \\x^{2} =15,797,445.16 - 15,673,681\\x=\sqrt{123,764.16} \approx 351.8](https://tex.z-dn.net/?f=%283974.6%29%5E%7B2%7D%3Dx%5E%7B2%7D%20%20%2B%283959%29%5E%7B2%7D%20%5C%5Cx%5E%7B2%7D%20%3D15%2C797%2C445.16%20-%2015%2C673%2C681%5C%5Cx%3D%5Csqrt%7B123%2C764.16%7D%20%5Capprox%20351.8)
Therefore, the distance to the Eath's Horizon from point P is 352.8 mi, approximately.
<h3>Answer:</h3>
y = 0.1x +1500
<h3>Explanation:</h3>
You need an equation that will give Gary a salary of $1500 even if he makes no sales (x=0). The only possible choice for the second item is then ...
... +1500
You are expected to know that Gary's commission of 10% of sales is computed by multiplying sales (x) by 10%. That is, if Gary sells $100 worth of items, his commission is ...
... 10% × $100 = $10
That is, the multiplier is 0.1.
Gary's salary (y) is then computed as
... y = 0.1x +1500
_____
<em>Comment on percentages</em>
The % symbol is a shorthand way to write /100. That is, 10% = 10/100, ten hundredths, or 0.10. (You might notice here that "percent" and "hundredths" can be used interchangeably.)
Answer:
The weight increase by 12 and the dosage increase by 2.5
Step-by-step explanation:
Answer:
31200 m
Step-by-step explanation:
120 times 60 equals 7200 and 200 times 120 equals 24000 and add the two up you get 31200
Annually The amount after 10 years = $ 7247.295
quarterly compound after 10 years = $7393.5
Continuously interest =$7,419
Given:
P = the principal amount
r = rate of interest
t = time in years
n = number of times the amount is compounding.
Principal = $4500
time= 10 year
Rate = 5%
To find: The amount after 10 years.
The principal amount is, P = $4500
The rate of interest is, r = 5% =5/100 = 0.05.
The time in years is, t = 10.
Using the quarterly compound interest formula:
A = P (1 + r / 4)4 t
A= 4500(1+.05/4)40
A= 4500(4.05/4)40
A= 4500(1.643)
Answer: The amount after 10 years = $7393.5
Using the Annually compound interest formula:
A = P (1 + r / 100) t
A= 4500(1+5/100)10
A= 4500(105/100)10
Answer: The amount after 10 years = $ 7247.295
Using the Continuously compound interest formula:
e stands for Napier’s number, which is approximately 2.7183
![A=Pex^{rt} \\A=4500(e)^{.5} \\A= 4500(2.71)^{.5}](https://tex.z-dn.net/?f=A%3DPex%5E%7Brt%7D%20%5C%5CA%3D4500%28e%29%5E%7B.5%7D%20%5C%5CA%3D%204500%282.71%29%5E%7B.5%7D)
A= $2,919
Answer: The amount after 10 years = $4500+$2,919=$7,419
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