Answer:
You got it wrong, its the first option
Step-by-step explanation:
Since its not asking for a consectuive EVEN or ODD integer its not
X + X+2 + X+4...
Instead its just the normal way
X + X+1 + X+2 + X+3....
SO thats the correct answer.
Answer:
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75°
Step-by-step explanation:
<u>Given : </u>
The second angle measures twice the first, and the third angle measures 5 more than the second.
Sum of angles = 180°
<u>Solution : </u>
Let the first angle be x
According to the given question :
Second angles = 2x
Third angle = 2x + 5
we know that Sum of angles = 180°
<u>Solving x value :</u>
x + 2x + (2x+5) = 180°
5x + 5 = 180
5x = 180 - 5
5x = 175
x = 175/5
x = 35
<u>Finding the measure of each angle : </u>
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75
Answer:
C. 81
Step-by-step explanation:
Answer:
![a_1=1.04](https://tex.z-dn.net/?f=a_1%3D1.04)
Step-by-step explanation:
We have a geometric sequence with:
,
, and ![n = 10](https://tex.z-dn.net/?f=n%20%3D%2010)
Where
Sn is the sum of the sequence
r is the common ratio
is the first term in the sequence
n is the number of terms in the sequence
The formula to calculate the sum of a finite geometric sequence is:
![S_n=\frac{a_1(1-r^n)}{1-r}](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba_1%281-r%5En%29%7D%7B1-r%7D)
Then:
![89,800=\frac{a_1(1-(3.4)^{10})}{1-3.4}](https://tex.z-dn.net/?f=89%2C800%3D%5Cfrac%7Ba_1%281-%283.4%29%5E%7B10%7D%29%7D%7B1-3.4%7D)
Now we solve for ![a_1](https://tex.z-dn.net/?f=a_1)
![89,800(1-3.4)=a_1(1-(3.4)^{10})](https://tex.z-dn.net/?f=89%2C800%281-3.4%29%3Da_1%281-%283.4%29%5E%7B10%7D%29)
![a_1=\frac{89,800(1-3.4)}{1-(3.4)^{10}}\\\\a_1=1.04](https://tex.z-dn.net/?f=a_1%3D%5Cfrac%7B89%2C800%281-3.4%29%7D%7B1-%283.4%29%5E%7B10%7D%7D%5C%5C%5C%5Ca_1%3D1.04)
Answer:
18 dollars and zero cents
Step-by-step explanation:
120×15%