Answer:
(a) 
(b) Here the intercept means that we pay
more than
for each text message received
(c) 145 text messages sent and 30 messages received
75 text messages sent and 50 messages received
180 text messages sent and 20 messages received
Step-by-step explanation:
Here we have
X×0.02 + Y×0.07 = 5
Therefore the equation is

b. Here the intercept means that we pay
more than
for each text message received
c. Other combinations are
145 text messages sent and 30 messages received
75 text messages sent and 50 messages received
180 text messages sent and 20 messages received.
Step-by-step explanation:
(a) the value of p that makes the lines parallel :
=> -4/-p = -5/7
5p = 7×(-4)
5p = -28
p = -28/5 = -5.6
(b) the value of p that makes the lines perpendicular :
=> -4/-p = -1 ÷ (-5/7)
4/p = 7/5
7p = 4×5
7p = 20
p = 20/7 = 2.86
Given
Initial balance 1800
Annual rate 0.05
Y the value of mutual fund
X time in years
The equation models the value of the mutual fund is
Y=1800 (1+0.05)^x
Y=1800 (1.05)^x...answer
Hope it helps!
1 feet = 12 inches
3.5 feet = x inches
Cross multiply
12(3.5) = 1x
x = 42 inches
Prime numbers: numbers which only have the factors of themselves and 1.
They include numbers such as 17, 19, 23, etc. These are numbers which only have two factors: such as 17, with the factors only being 17 and 1.
So therefore, this means, that for any two prime numbers, unless they are the same number, the only factor they will share is 1. So therefore the GCF of two prime numbers is 1.
Hope this helped!