Algebra Answers

Find the sum of the terms between the 102nd and the 190th terms in the series

"1\/10 + 1\/5 + 3\/10 + 2\/5 + 1\/2 + ...."

Given { t, f, 7r, 3n, 9n,...}:

(a) Find the 12th term.

(b) Find the sum of the first 12 terms.

Nandu starts journey on boat. When wind blows his cap falls and starts floating downstream in opposite direction of boat (before nandu finds out). Boat continuously going upstream for 12 min. and comes in downstream. When cap reaches starting point, nandu catches it. If cap of nandu has fallen 3 km away from starting point, find speed of river flow?

1.Anita spends her working hours (8 hours) filing, typing, and placing and receiving calls. If she approximately performs these functions in the ratio of 1:2:3, how many hours does she spend for each function? 

Using a ruler, pencil and pair of compasses only, construct a triangle ABC such that length AB=8.7 cm, AC=10.6 cm and angle BAC=600. Find the length BC. (You must show all construction lines).

Given the function f(x)=x+4 : -x+4 ;

a. Find f(-¼)

b. Calculate the value of x for which x is not defined.

Solve for x, over set of real numbers: x²-x-90=0

Line A is parallel to line B. line b passes through points (4,5) and (1, -4).Find the equation of line A if it passes through (0, -1).

Given that f(x)= 2x+1 and g(x)= x2-9, find the value of x if gf(x)=0.

The shortest side of a triangle is twice the length of the shortest side. The third side is 7 cm less than the longest side and the perimeter of the triangle is 78 cm.

If 5/√5 + √20=a √5 ,find the value of a.

A factory, a worker’s wages for a 40 hours week is 120,000Frw. She is paid 10% of her weekly wages for every 2 hours that she works overtime. At the end of certain week she received 216,000Frw. Calculate the number of hours overtime that she worked.

A car was bought for 33,000,000Frw. The value of a car depreciated each year by 15% of its value at the beginning of the year. Calculate the value of the car after 3 years.

a) given the function p(x)= 6x3+35x2+19x-30.

b) prove that -5 is zero of p(x) and hence factorize it completely.

c. Find the values of x for which p(x)=0.

Given that a=3, b=-2 and c=4, find the value of : ab²-bc+ac.

Find the value of n : 41ten=45n

The interest on a loan is 24% per annun. How much is loan that bears interest of 6,000Frw after 1 year?

If Y inversely proportional to X and Y=40 when X=3, find Y when X=2.5

Solve the following simultaneous equations:

8x+y=21

5x-4y=10

Find the equation of line with gradient 5 and passing through the point (1,9).

Solve the following inequality:

1/3x-(x+2)>2

In a class of 50 students,40 likes mathematics and 25 likes science. Some students like both subjects and 2 do not like any of the subjects. How many students like both mathematics and science?

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

Gov't Mule is planning a show at the Art Park in Lewiston for next summer. The year before they charged $100 and 3000 people attended the show. Through market research they learned that for every $2 decrease in price they would have another 150 attend the show

using visuals/examples if necessary to support your explanation, answer the following:

a) What is the major difference between simple interest and compound interest? Pretend that you are providing this explanation to your English teacher, parent, or sibling. 

b) Why does an investment that earns compound interest grow at a faster rate than an investment that earns simple interest? 

Why is is important in real-life to have a strong understanding of compound interest? Provide at least one future value example and at least one present value example. 

In your own words and using visuals, explain the following. Regarding compound interest, how does the number of times interest is compounded per year affect the:

a) number of compounding periods (n)

b) interest rate per compounding period (i)