First question:
interest rate is 5% annually. After 4 years relative value of interest will be 1.05^4
Now we multiply that with starting funds and get
4000* 1.05^4 = 4862.03
Second question:
Because interest is 8% semiannually that means that after 35 years relative value of interest will be 1.04^(35*2)
6000*1.04^70 = 93,429.71
Third question:
after first year tractor's value will be 0.86*15450. After 3 years its value will be:
(0.86)^3*15,450 = 9,827.07
Answer: 8 1/4g/cm³
Step-by-step explanation:
Given the graph :
The rate of change in the mass of copper with respect to volume :
To obtain this, we find the slope or gradient of the graph:
Gradient = Δy / Δx = (y2 - y1) / (x2 - x1)
Drawing a right angled triangle on the anybpart of the line of best fit:
y2 = 40 ; x2 = 4.75 ; y1 = 16 ; x1 = 2
(y2 - y1) / (x2 - x1)
= (40 -16) / (4.75 - 2)
= 24 / 2.75
= 2400/275
= 8.727 g/cm^3
Due to unit and graph scale,, the slope is closest to 8 1/4g/cm³
C+a=166
a=166-c
5.3c+9.2a=1254.2
5.3c+9.2(166-c)=1254.2
5.3c+1527.2-9.2c=1254.2
5.3c-9.2c=1254.2-1527.2
-3.9c=-273
c=-273/-3.9
c=70
Hope this helps!
Answer:
2.
3.
Step-by-step explanation:
<em>In general we can write a polynomial in standard form as </em>
<em>Given</em> 
<em>Combine the like terms: 4m and -4m</em>
<em>4m-4m=0</em>
<em>We have 4m-4m=0</em>
<em>So, write the remaining terms</em>
= 
<em>This is in decreasing order of powers.</em>
<em>Hence the answer is the standard form is</em>
<em>But in the given options, you can choose option 2 and option 3 are in standard form.</em>
<em>Because they are in decreasing order of powers.</em>
<em>In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.</em>
<em>-2m^4-6m^2+4m+9</em>
<em>-2m^4-6m^2-4m+9</em>
<em>I hope this helps you.</em>
<em>And please comment if I need to do corrections.</em>
<em>Please let me know if you have any questions.</em>
