The middle of PQ is (9/2,1/2,2)
The sphere has for equation (x-9/2)²+(y-1/2)+(z-2)²=R²
and P is a point of the sphere so R=(-1/2)²+(3/2)²+(-1)²=R²=7/2
Answer:
y^2-y^1/x^2-x^1
Step-by-step explanation:
Answer:
Amount he must have in his account today is $5,617.92
Step-by-step explanation:
Data provided in the question:
Regular withdraw amount = $900
Average annual interest rate, i = 4% = 0.04
Time, n = 7 years
Now,
Present Value = ![C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)](https://tex.z-dn.net/?f=C%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1-%281%2Bi%29%5E%7B-n%7D%7D%7Bi%7D%20%5Cright%5D%20%5Ctimes%281%20%2B%20i%29)
here,
C = Regular withdraw amount
Thus,
Present Value = ![C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)](https://tex.z-dn.net/?f=C%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1-%281%2Bi%29%5E%7B-n%7D%7D%7Bi%7D%20%5Cright%5D%20%5Ctimes%281%20%2B%20i%29)
Present Value = ![900 \times\left[ \frac{1-(1+0.04)^{-7}}{ 0.04 } \right] \times(1 + 0.04)](https://tex.z-dn.net/?f=900%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1-%281%2B0.04%29%5E%7B-7%7D%7D%7B%200.04%20%7D%20%5Cright%5D%20%5Ctimes%281%20%2B%200.04%29)
Present Value =
Present Value =
Present Value = 936 × 6.00205
or
Present Value = $5,617.92
Hence,
Amount he must have in his account today is $5,617.92
The expression that can be used to represent the list price of the smartphone is 5179.99 * (1- 25%) and the value is 3884.9925
<h3>What expression can be used to represent the list price of the smartphone? </h3>
The given parameters are:
Discount = 25%
Sales price = 5179.99
The expression that can be used to represent the list price of the smartphone is
Expression = Sales price * (1- discount)
So, we have:
Expression = 5179.99 * (1- 25%)
Evaluate
Expression = 3884.9925
Hence, the expression that can be used to represent the list price of the smartphone is 5179.99 * (1- 25%) and the value is 3884.9925
Read more about discounts at:
brainly.com/question/7459025
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