Answer:
Line 1: 
Line 2: 
Line 3: 
Line 4: 
Line 5: 
Line 6 : 
Line 7: 0
Line 8: 0
Line 9: 
Line 10: 
Line 11: 0
Line 12: 
Step-by-step explanation:
Slope of line is given by the formula:

Line 1:
The change in
coordinate is zero.
Therefore slope of line 1 is
.
Line 2:
Change in
coordinate = -4
Change in
coordinate = 3
Slope = 
Line 3:
Change in
coordinate = 4
Change in
coordinate = 3
Slope = 
Line 4:
The change in
coordinate is zero.
Therefore slope of line 4 is
.
Line 5:
Change in
coordinate = 7
Change in
coordinate = 3
Slope = 
Line 6:
Change in
coordinate = -7
Change in
coordinate = 3
Slope = 
Line 7:
Change in
coordinate = 0
Slope = 0
Line 8:
Change in
coordinate = 0
Slope = 0
Line 9:
The change in
coordinate is zero.
Therefore slope of line 9 is
.
Line 10:
The change in
coordinate is zero.
Therefore slope of line 10 is
.
Line 11:
The change in
coordinate is zero.
Therefore slope of line 11 is 0.
Line 12:
The change in
coordinate is zero.
Therefore slope of line 12 is
.
Answer:
C(t)=3000(1.002417)^12t+960t
if T=1 year then the saving will be : 4048.17
Step-by-step explanation:
3000 deposit amount, 2.9 compound monthly interest . save 80 dollars per month at home .
A=p(1+r)^t
A=3000(1+0.029/12)^12t
A=3000(1.002417)^12t dollars
for the amount saved at home=80*12t=960t dollars
C(t)=3000(1.002417)^12t+960t
if T=1 year then the saving will be :
C(t)=3000(1.002417)^12t+960t
=3088.17+960= 4048.17 dollars
Find the domain by finding where the function is defined. The range is the set of values that’s correspond with the domain
Answer:
y=81x^4+648x^3+1944x^2+2592x+1289
Step-by-step explanation:
1. Interchange x and y.
- y=\frac{\sqrt[4]{x+7}}{3}-2
- x=\frac{\sqrt[4]{y+7}}{3}-2
2. Then solve x=\frac{\sqrt[4]{y+7}}{3}-2 for y.
3. y=81x^4+648x^3+1944x^2+2592x+1289
I hope this helps.
Answer:
45
Step-by-step explanation:
12 % of the marbles are blue, and
18 % of the marbles are green, so
30 % of the marbles are either blue or green.
There are 150 marbles.
30 % × 150 = 0.30 × 150 = 45
The number of blue or green marbles is 45.