Answer:
Step-by-step explanation:
We have total 1200 wildflowers in first year that is first term a is 1200
We have to find sigma notation showing the infinite growth of the wildflowers.
Formula for infinite sum of GP is 
Here, 
On substituting the values in the formula of sum we get:
On simplification we get:
Therefore, total sum of wildflowers 1600.
Based on the streams of income that Li Wei has, we can calculate that he has a total passive income of <u>$3,010.</u>
Passive income refers to income that is made without a person actively involving themselves in the activity generating the income.
In this scenario, the passive income sources are:
- Stock dividends
- Business investment interest
- Royalties from a novel
Total passive income therefore is:
= 530 + 1,080 + 1,400
= $3,010
In conclusion, the total passive income is $3,010.
<em>Find out more at brainly.com/question/1246309. </em>
<h2>9.</h2><h3>Given</h3>
<h3>Find</h3>
- linear approximation to the volume when the radius increases 0.4 cm
<h3>Solution</h3>
The equation for volume of a sphere is
... V = (4/3)π·r³
Differentiating gives
... dV = 4π·r²·dr
Filling in the given numbers gives
... change in volume ≈ 4π·(15 cm)²·(0.4 cm)
... = 360π cm³ ≈ 1130.97 cm³ . . . . . . volume of layer 4mm thick
<h2>11.</h2><h3>Given</h3>
- an x by x by 2x cuboid with surface area 129.6 cm²
- rate of change of x is 0.01 cm/s
<h3>Find</h3>
<h3>Solution</h3>
The area is that of two cubes of dimension x joined together. The area of each such cube is 6x², but the two joined faces don't count in the external surface area. Thus the area of the cuboid is 10x².
The volume of the cuboid is that of two cubes joined, so is 2x³. Then the rate of change of volume is
... dV/dt = (d/dt)(2x³) = 6x²·dx/dt
We know x² = A/10, where A is the area of the cuboid, so the rate of change of volume is ...
... dV/dt = (6/10)A·dx/dt = 0.6·(129.6 cm²)(0.01 cm/s)
... dV/dt = 0.7776 cm³/s
Answer:
310 metres
Step-by-step explanation:
The lowest point in Asia is the Dead Sea, which is =396 meters below sea level.
The lowest point in the USA is Death Valley, a= 86 meters below sea level.
Therefore,
diference in their heights = 396-86 metres =310 metres
In order to solve this, We will want to change it into an exponential form. Assuming that since we do not have a number beside log, It will be log base 10.
10^4=x
We can now solve for x.
This means that x= 10,000
