What is the payment if there is $219 with a 3.5% sales tax

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by  7

x= 63/7

x= 9 months

Answer:

(-4,-8)

Step-by-step explanation:

Given :

 ---(1)

   ------(2)

Solution :

To find the solution of given system of equation we need to use the substitution method i.e. we need to substitute the value of x from equation (2)  in equation (1).

⇒

⇒

⇒

Thus for x =-4 we get y = -8

Hence (-4,-8) is the solution to the given system of equations .

Answer:

$388.36

Step-by-step explanation:

let us assume that the amount in her accounts compounds annually

Given data

principal p= $160

interest rate r= 3%= 0.03

time t= 30 years

At the end of 30 years the money she will will have can be expressed as

A= P(1+r)^t

A= 160(1+0.03)^30

A= 160(1.03)^30

A= 160*2.42726

A= $388.36

in 30 years she will have $388.36

Answer:

20 m/s

Step-by-step explanation:

Distance = rate * time

400 m = rate * 20 seconds

Divide each side by 20 seconds

400m/ 20 seconds = rate

20 m/second = rate