Algebra Answers

The difference in S.I. and C.I. for 2 years on a sum of money is Rs.160 .If the S.I. for 2 years be Rs.2880,the rate percent is?

A thief steals a car at 1.30p.m. and drives it at 45km an hour. The theft is discovered at 2p.m. and the owner sets off in another car at 50km an hour .He will overtke the thief at?

A man whose bowing average is 12.4 takes 5 wickets for 26 runs and thereby decreases his average by 0.4 . The number of wickets , taken by him before his last match , is?

Solve each exponential equation. Give the exact value for x.
(a) 9^x= 1/81
(b) 3^x=6
(c) 4^x=2.5
(d) 2^x =3

The atmospheric pressure P in pounds per square inch (psi) is given by P= 14.7 e on top -0.21a
where a is the altitude above sea level ( in miles). If a city has an atmospheric pressure of 13.35 psi, what is tits altitude? ( Recall that mi= 5,280 ft. Round your answer to the nearest foot.)

If you multiply a number by 3 and then subtract negative ten, the difference is negative seventeen. What is the number?

Write the equations in logarithmic form.
(a) 512 =8^3
(b) 49= (1/7) -2
(c) a=b^c

Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is Celsius. They also find that the temperature decreases by Celsius for each kilometer you go up from the surface.
Let represent the temperature (in Celsius), and let be the height above the surface (in kilometers). Write an equation relating to , and then graph your equation using the axes below

Use the definition of logarithm to simplify each expression.
(a) log 10 small 10upward.

Write the equations in logarithmic form.
(a) 512 =8^3