3^8 = <span>6561
3^9 = </span><span>19683
6581 x 19683 = </span><span>129533823
quite a big number</span>
x = 6
given f(x) = 310, we obtain the equation
10 + 50x = 310 ( subtract 10 from both sides )
50x = 300 ( divide both sides by 50 )
x =
= 6
The points if the slope is 4 and the point is (1,-1) are (1,-1) and (2, 3)
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change, slope or gradient
<h3>How to determine the points?</h3>
The given parameters are:
Slope = 4
Point = (1, -1)
The slope of 4 means that as x changes by 1, the value of y changes by 4
This means that, we have:
(x + 1, y + 4)
Substitute the known values in the above equation
(1 + 1, -1 + 4)
Evaluate
(2, 3)
Hence, the points if the slope is 4 and the point is (1,-1) are (1,-1) and (2, 3)
Read more about linear equations at:
brainly.com/question/14323743
#SPJ1
Answer:
- $272 was invested in the savings account at 11%
- $572 was invested in the savings account at 14%
Step-by-step explanation:
Let the amount in the savings account with 11% interest =x
She has $300 more in the 14% account.
Therefore amount saved at 14%=x+300
Simple Interest= Principal X (Rate/100) X Time
Since, the time is not given, we assume an annual interest.
Therefore, Time =1 Year
Total Interest = $110
Now, our total interest will be a sum of the interest earned at 11% and the interest earned at 14%.
![110=(x*0.11*1)+[(x+300)*0.14*1]\\110=0.11x+0.14x+42\\110=0.25x+42\\\text{Subtract 42 from both sides}\\110-42=0.25x+42-42\\68=0.25x\\\text{Divide both sides by 0.25 to obtain x}\\\frac{68}{0.25} =\frac{0.25x}{0.25} \\x=\$272](https://tex.z-dn.net/?f=110%3D%28x%2A0.11%2A1%29%2B%5B%28x%2B300%29%2A0.14%2A1%5D%5C%5C110%3D0.11x%2B0.14x%2B42%5C%5C110%3D0.25x%2B42%5C%5C%5Ctext%7BSubtract%2042%20from%20both%20sides%7D%5C%5C110-42%3D0.25x%2B42-42%5C%5C68%3D0.25x%5C%5C%5Ctext%7BDivide%20both%20sides%20by%200.25%20to%20obtain%20x%7D%5C%5C%5Cfrac%7B68%7D%7B0.25%7D%20%3D%5Cfrac%7B0.25x%7D%7B0.25%7D%20%5C%5Cx%3D%5C%24272)
Therefore:
- $272 was invested in the savings account at 11%
- $572 was invested in the savings account at 14%
Cheers!
I really hope this is right ! Pleas forgive me if it isn’t . A mathematical analysis of integration of intergal . So basically the region that is bounded . (Example [DX]