SAT & ACT Math: Growth and Decay Problems
A cat initially weighs 850 grams. It loses 4 percent of its weight every 7 years. Find its weight after 6 years.
A cat initially weighs 850 grams. It loses 4 percent of its weight every 7 years. Find its weight after 6 years.
The half life of a cell is 180 years. The initial mass is 40 units. Find the mass after 300 years.
Line w passes through (6,12) and (-4,-8). Find the x int and y int. Line q is perpendicular to line w. Line q passes through (14,2). Find the x int and y int of line q. If line q passes through (2,d), what is the value of d? Tutoring Englewood Cliffs Tutoring Englewood Tutoring Teaneck[…]
Remnant- Leftover piece/memory of something Raiment- Clothing Sonorous- Deep voice/sound Somnolent- Sleepy Vittles- Food, supplies Caisson- Chest or wagon for holding bullets, Diadem- Crown Dyad- Two opposing sides Diodes- Two terminal electrical component Exegesis- Summary/interpretation of a text Funicular- Cable car Fusillade- Round of shots or fireworks Capacious- Roomy Osculate- Kiss or to be tangent[…]
Municipal- County or Local Lattice- A wooden frame Preclude- Prevent, cut off possibilities Tyrant- Ruthless dictator Efficacious- Efficient, helpful Calamity- Disaster Revel- Partying/Enjoying Sparring- Dueling physically, or engaging in an argument Portend- Predict into the future Pontificate- Lecture in a bossy tone Proscription- Not allowed, not permitted Vagary- Unpredictable or extravagant action or notion Alderman-[…]
Truculent- Fierce, cruel, savage Extenuating- Mitigating/lessening the severity of Novice- Beginner/Apprentice Venerable- Respected because of age. Incipient- Initial stage/ coming into being Congenial- Pleasant/agreeable Ad hoc- Improvised, makeshift solution designed for a specific problem or task, non- generalizable, and which cannot be adapted to other purposes Status quo- Current situation Subjugate- Bring under control/ dominate (political[…]
Dilettante- A person who is interested in something like the arts, but does not really know a lot about it. Recidivist- A criminal who repeats the offense Robust- Strong Plight- Suffering/Bad situation Complicity- Participating in a crime Arbor- Related to the earth or trees Eulogy- Tribute (+) for someone who died Felicity- Great happiness Felicitous- Pleasing/lucky[…]
Verizona offers a cell phone plan that provides 250 free text message. After that, consumers pay $0.05/message. Sprintina has a plan that charges $0.02/message. At what quantity of messages do Verizona and Sprintina cost the same. 12x–y=8x+40x+6y=50 Find the value of y–x. Point A: (11, 5) Point B: (-4,-3) Point C: (10.5,-4) Point D: (2,4) Find[…]
There is a class of 10 students. How many ways can the teacher pick 1st, 2nd, and 3rd place prizes? In a set of 12 girls, how many groups of 4 winners can be made? 18 students are running for 5 student council seats. How many winning sets can be formed? 12 swimmers compete for[…]
Find the surface area of a sphere with the volume of 27π. A factory in Hackensack manufactures T-shirts. The factory has monthly operating costs of $14,000 per month regardless of how many shirts are produced. Additionally, the factory must spend $7.45 for each shirt produced. In July, the total factory costs were $19,000. Approximately how[…]