First off you need to multiply 6 by 3 for how many miles she went and then divide the leftover total by two (For the last two hours) to realize she needs to run 4.1 mph.
Hope this helped :)
Answer:
t =17 years
Step-by-step explanation:
The formula for interest
A = P(1+ r/n)^ nt
where a is the amount in the account , p is the principal, r is the rate, n is the number of times compounded per year and t is the time in years
Substituting in what we know
690 = 460 ( 1+ .024/365)^ 365t
690/460 = ( 1+ .024/365)^ 365t
1.5 = ( 1+ .024/365)^ 365t
Taking the log of each side
log(1.5) = 365t log( 1+ .024/365))
Dividing each side by( 1+ .024/365)
log(1.5)/ log( 1+ .024/365) = 365t
divide each side by 365
1/365 log(1.5)/ log( 1+ .024/365) =t
t =16.8949
To the nearest year
t =17
C because K is 1,-8 so if you go up 1, -7, and right 4,5. So you get k(5,-7)
Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>
263.76 cm is the minimum amount of paper she will need to wrap the entire container.
<u>Step-by-step explanation:</u>
As we know that the equation for surface area of a cylinder,
Surface area of cylinder = 
Where,
r - the radius of the cylinder. Here given diameter (D) as 6. So,

h - the height of the cylinder (given as 11 cm). The value for pi = 3.14. Now, calculate the surface area of the cylinder as

A = 56.52+ 207.24 = 263.76 cm