Algebra Answers

A new car is purchased for 23700 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 10 years?

Brenda can deliver 644 newspapers in 7 hours.

How many newspapers can Brenda deliver in 9 hours?

The first term of a geometric series is 9 and the ratio of the sum of the first eight terms to the sum of the first four terms is 97:81.

Calculate the first 3 terms of the sequence it is given that all the terms are positive.

What is the nth term rule of the linear sequence below?

27

,

25

,

23

,

21

,

19

,

Solve the following measurements:

a. On a certain map, the straight-line distance between The Pas and Winnipeg is 4.1cm. If the scale of the map is 1cm = 120km, how far apart are The Pas and Winnipeg, to the nearest kilometre?

b. On a scale drawing of a house, the scale is 1cm: 4m. If the actual width of the house is 30m, what is the length of the line in the drawing that represents the width of the house?

c. If an electronics company wants to shrink the dimensions of a Tablet measuring 20cm wide by 25cm high by a scale factor of 2/5, what is the new width of the Tablet? (Recall that the Scale Factor is given by either model/original OR model:original.)

(Need to show work)

 Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 22 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for​ wire?

Solve the pair of equation 2y^-1 -3z^-1=4 and 4y^-1+z^-1=1

Given that log4 (y-1) +log4(x/1)=1 and log2 (y+1)+log2 x=2,solve for x and y

Solve the equation m2 +n2=29 and m+n =7

Form the quadratic equation for which the sum of the roots is 5 and the sum of the squares of the roots is 53