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Savings Interest - Pre Calculus - Quiz, Exercises of Calculus

It is the notes of Pre Calculus which includes Statement Completion, Solving the System, Prior Calculations etc. Key important points are: Savings Interest, Simple Equations, Arithematic Calculations, Advertisements, Accounts, Savings

Typology: Exercises

2012/2013

Uploaded on 02/06/2013

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Name__________________________________
_
Honors PreCalculus 4.6 - 4.8 Take Home Quiz
MULTIPLE CHOICE. Show all work. Choose the answer that best solves the proble
m
Solve the problem.
1
)
A local bank advertises that it pa
y
s interest on savings accounts at the rate of 3% compounded monthl
y
. Find
the effective rate . Round answer to two decimal places.
A) 3.04% B) 3.40% C) 3.44% D) 36%
SHORT ANSWER. SHOW ALL WORK!!!!
Find the present value.
2
)
How much mone
y
needs to be invested now to get $2000 after 4
y
ears at 8% compounded quarterl
y
? Express
your answer to the nearest dollar.
Find the time needed to double your money. Express your answer rounded to 2 decimal places
.
3
)
How man
y
y
ears will it take for $10,000 to double in value if it earns 7% compounded continuoul
y
? Round
answer to two decimal places.
Solve the problem.
4
)
A culture of bacteria obe
y
s the law of uninhibited growth. If 140,000 bacteria are present initiall
y
and there are
609,000 after 6 hours, how long will it take for the population to reach one million?
1
pf2

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Name___________________________________ Honors PreCalculus 4.6 - 4.8 Take Home Quiz

MULTIPLE CHOICE. Show all work. Choose the answer that best solves the problem

Solve the problem.

  1. A local bank advertises that it pays interest on savings accounts at the rate of 3% compounded monthly. Find the effective rate. Round answer to two decimal places. A) 3.04% B) 3.40% C) 3.44% D) 36%

SHORT ANSWER. SHOW ALL WORK!!!!

Find the present value.

  1. How much money needs to be invested now to get $2000 after 4 years at 8% compounded quarterly? Express your answer to the nearest dollar.

Find the time needed to double your money. Express your answer rounded to 2 decimal places.

  1. How many years will it take for $10,000 to double in value if it earns 7% compounded continuouly? Round answer to two decimal places.

Solve the problem.

  1. A culture of bacteria obeys the law of uninhibited growth. If 140,000 bacteria are present initially and there are 609,000 after 6 hours, how long will it take for the population to reach one million?

MULTIPLE CHOICE. Show all work. Choose the answer that best solves the problem

  1. Strontium 90 decays at a constant rate of 2.44% per year. Therefore, the equation for the amount P of strontium 90 after t years is P = P0 e-0.0244t. How long will it take for 15 grams of strontium to decay to 5 grams? Round answer to 2 decimal places. A) 450.25 years B) 45.03 years. C) 4.50 years D) 40.50 years

SHORT ANSWER. SHOW ALL WORK!!!!

  1. A cup of coffee is heated to 194eand is then allowed to cool in a room whose air temperature is 72e. After 11 minutes, the temperature of the cup of coffee is 140e. Find the time needed for the coffee to cool to a temperature of 102e.

MULTIPLE CHOICE. Show all work. Choose the answer that best solves the problem

  1. The logistic growth model P(t) = 180 1 + 44e-0.188 t

represents the population of a species introduced into a new

territory after t years. When will the population be 80? A) 15.82 years B) 8.3 years C) 18.94 years D) 5.18 years

  1. In a Psychology class, the students were tested at the end of the course on a final exam. Then they were retested with an equivalent test at subsequent time intervals. Their average scores after t months are given in the table.

Time, t ( in months) 1 2 3 4 5 Score, y ( in percentage) 86.2 85.7 85.4 85.2 85.

Using a graphing utility, fit a logarithmic function y = a + b ln x to the data. Using the function you found, estimate how long will it take for the test scores to fall below 84%. Express your answer to the nearest month. A) 8 months B) 12 months C) 20 months D) 10 months