In​ 2005, there were 14,000 students at college​ A, with a projected enrollment increase of 500 students per year. In the same​ year, there were 19,000 students at college​ B, with a projected enrollment decline of 750 students per year. According to these​ projections, when will the colleges have the same​ enrollment? What will be the enrollment in each college at that​ time?   In the year ___ enter your response here​,the enrollment at both colleges will be the same.

In 1975, there were about 139 million vehicles (cars and trucks) and about 216 million people inthe United States. The number of vehicles has been growing at 4% per year, while the populationhas been growing at 1% per year. In what year was there, on average, one vehicle per person?

In 2009, India consumed 20 exajoules of energy from all sources. (One exajoule is 1018 joules.) It is anticipated that energy requirements for India will increase by 8% per year for the foreseeable future.†

A celebrity starts a YouTube channel. At the end of the first day, they have 40 subscribers. On the second day, they get 80 new subscribers, on day 3 they get 160 new subscribers, and on day 4, they get 320 new subscribers. Assume this trend continues until the end of the tenth day. How many new subscribers does she get on day 6?  How many total subscribers does she have after the 10 days?

The Centers for Disease Control and Prevention estimates that 0.2% of the US population died of heart disease in 2006.  A new medical treatment plan claims that it will reduce the risk of dying from heart disease by 12%.  There were approximately 311 million people in the US in 2006.  With this new treatment plan, how many people could be saved in a year if it works?     74,640     622.000     746,400     37,320,000     62,200,000

Initially, 10 people have an infection. The next day, every infected people infects one moreperson. If this pattern continues, how many days will it take for 1280 people to be infected?

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. x-intercept = 315 == 15 and y-intercept = 1 Type the point-slope form of the equation of the line. 7 (Use integers or simplified fractions for any numbers in the equation.)

A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s)       Annual Revenue ($ millions)11.5                   118 10.0                   135 9.0                     100 5.5                     37 3.3                     32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA   df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677     Total 4 8925.2           Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…

The shortage of organs for transplant is a continuing problem. At the end of 2000, there were 3536 people waiting for a heart transplant, 3355 for a lung transplant, 16,012 for a liver transplant, and 46,824 for a kidney transplant. Corresponding figures for 2003 were 3292, 3543, 16,985, and 56,590, respectively. In 2006, the figures were 2625, 2691, 16,882, and 68,412, respectively. Express the information as a matrix, labeling rows and columns. Fill in the matrix below. Heart Liver 3536 46,824 3543 56,590 2006 2625 16,882

A farmer knows that of every 50 eggs his chickens lay, only 45 will be marketable. If his chickens lay 1900 eggs in a week, how many of them will be marketable?