SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Transcription

1 Math 1332 Test 2 Review Name SHORT ANSWER. Write the word or phrase that best completes each stateme or answers the question. Plot the poi in the rectangular coordinate sstem. 1) (-, -3) Graph the equation. Select iegers for, ) = Find f of each given value of. 3) f() = a. f(4) b. f(-3) 1

2 Use the vertical line test to determine if is a function of. 4) Use the - and -iercepts to graph the linear equation. ) - 2 = - - Calculate the slope of the line passing through the given pois. If the slope is undefined, so state. Then indicate whether the line rises, falls, is horizoal, or is vertical. 6) (8, -7), (-9, 3) Graph the linear function using the slope and -iercept. 7) =

3 Determine if the parabola whose equation is given opens upward or downward. 8) = Find the verte for the parabola whose equation is given. 9) = ) The cost, in millions of dollars, for a compan to manufacture thousand automobiles is given b the function C() = Find the number of automobiles that must be produced to minimize cost. Epress the fraction as a perce. 11) 7 8 Write the decimal as a perce. 12) Epress the perce as a decimal. 13) 76.4% 14) 80% 1) 20% of what number is 90? 16) 4 is what perce of 2? 17) Jeans with an original price of $44 are on sale at 2% off. What is the sale price of the jeans? (Round to the nearest ce, if necessar.) 18) A dress regularl sells for $8. The sale price is $69. Find the perce decrease of the sale price from the regular price. The principal P is borrowed at simple ierest rate r for a period of time t. Find the simple ierest owed for the use of the mone. Assume 360 das in a ear and round answer to the nearest ce. 19) P = $180 r = 4% t = 2 ears The principal P is borrowed at simple ierest rate r for a period of time t. Find the loan's future value, A, or the total amou due at time t. Round answer to the nearest ce. 20) P = $700 r = 4.% t = 21 mohs 3

4 The principal P is borrowed and the loan's future value, A, at time t is given. Determine the loan's simple ierest rate, r, to the nearest teh of a perce. 21) P = $6000 A = $6420 t = 1 ear Determine the prese value, P, ou must invest to have the future value, A, at simple ierest rate r after time t. Round answer to the nearest dollar. 22) A = $ r = 14% t = 8 mohs The principal represes an amou of mone deposited in a savings accou subject to compound ierest at the given rate. Find how much mone will be in the accou after the given number of ears (Assume 360 das in a ear.), and how much ierest was earned. A = P1 + r n P = A 1 + r n A = Pert Y = 1 + r n n 23) Principal: $800 Rate: 7% Compounded: quarterl Time: 3 ears 24) A mother invests $2000 in a bank accou at the time of her daughter's birth. The ierest is compounded quarterl at a rate of 8%. What will be the value of the daughter's accou on her tweieth birthda, assuming no other deposits or withdrawals are made during this period? A = P1 + r n P = A 1 + r n A = Pert Y = 1 + r n n 2) How much mone should be deposited toda in an accou that earns 8% compounded quarterl so that it will accumulate to $3800 in 12 ears? Find the value of the annuit. Round to the nearest ce. A = P 1 + r n r n P = A r n 1 + r n 26) Periodic Deposit: $900 at the end of ever si mohs Rate: 4.% compounded semiannuall Time: 4 ears 4

5 27) The price of a home is $260,000. The bank requires a 20% down pame and one poi at the time of closing. The cost of the home is financed with a 1-ear fied-rate mortgage at 7%. a. Find the required down pame. b. Find the amou of the mortgage. c. How much must be paid for the one poi at closing? d. Find the total cost of ierest over 1 ears, to the nearest dollar. 28) A new fa machine cost Miller Ltd. $2670. The are to pa it off in 18 mohs at 9% ierest. What will each mohl pame be, and how much ierest will the pa on the loan? 29) A credit card has a mohl rate of 1.6% and uses the average dail balance method for calculating ierest. Here are some of the details in the June 1-June 30 itemized billing: June 1 Unpaid Balance: $40.67 Pame Received June 6: $13 Purchases Charged to the Accou: $268.9 Average Dail Balance: $ Last Da of the Billing Period: June 30 Pame Due Date: Jul 9 a. Find the ierest due on the pame due date. b. Find the total balance owed on the last da of the billing period. c. Minimum pame terms are shown below. What is the minimum pame due b Jul 9? New Balance Minimum Pame $0.01 to $.00 No pame due $.01 to $ $.00 $ to $20.00 $1.00 $20.01 to $ $20.00 $ to $30.00 $2.00 $30.01 to $ $30.00 $ to $40.00 $3.00 $40.01 to $00.00 $40.00 Over $ / of New Balance

6 Answer Ke Testname: MATH 1332 T2RF14 1) ) - - 3) 18, 11 4) Not a function ) - - 6) - 17, falls 6

7 Answer Ke Testname: MATH 1332 T2RF14 7) - - 8) downward 9) (2, 1) ) 3 thousand automobiles 11) 87.% 12) 8.3% 13) ).8 1) 40 16) 16% 17) $ ) 18.8% 19) $ ) $ ) 7% 22) $ ) amou in accou: $,467.23; ierest earned: $ ) $ ) $ ) $ ) a. down pame: $2,000 b. amou of mortgage: $208,000 c. pois paid at closing: $2080 d. total cost of ierest over 1 ears: $336,21 28) $19.13, $ ) a. $.28 b. $89.90 c. $8.99 7