Answer:
T = 75 + 116.9*N
Step-by-step explanation:
We have that the equation for Michael's savings is:
A = 75 + 50.85*N, where N is the number of weeks
And we have that the equation for his wife's savings is:
B = 65.95*N.
So, to find the total amount saved using both plans combined (T), we have to sum A and B:
T = A + B = 75 + 50.85*N + 65.95*N = 75 + 116.9*N
So the equation that relates T to N is:
T = 75 + 116.9*N
Answer:
Parallel line:

Perpendicular line:

Step-by-step explanation:
we are given equation 4x+5y=19
Firstly, we will solve for y

we can change it into y=mx+b form


so,

Parallel line:
we know that slope of two parallel lines are always same
so,

Let's assume parallel line passes through (1,1)
now, we can find equation of line

we can plug values

now, we can solve for y

Perpendicular line:
we know that slope of perpendicular line is -1/m
so, we get slope as

Let's assume perpendicular line passes through (2,2)
now, we can find equation of line

we can plug values

now, we can solve for y

78.00 = 59.99+0.10x
10.01=0.10x
x= 180.1 so she can send 180 texts plus the 100 free ones for a total of 280 texts
double check: 180 x 0.10 = 18.00 + 59.99 = 77.99
Answer:
h≅ 8 yards
Step-by-step explanation:
Given data
Volume of cone= 301.44 cubic yards
Radius of cone= 6 yards
Required
The Height of the cone
The expression for the volume of a cone is given as
V= 1/3πr^2h
Substitute
301.44= 1/3* 3.142*6^2*h
301.44= 37.704*h
Divide both sides by 37.704
h= 301.44/37.704
h= 7.99
h≅ 8 yards