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Suppose the charge account of Strong's Mailing Service at the local supply store had a 1.8% interest rate per month on the average daily balance.

Suppose the charge account of Strong's Mailing Service at the local supply store had a 1.8% interest rate per month on the average daily balance. Find the average daily balance if Strong's had an unpaid balance on March 1 of $126.40, a payment of $10 posted on March 10, and a purchase of $21.70 posted on March 20. The billing cycle ends on March 31.

What is the average daily balance?

Margaret Hillman invested $3,000 at 1.6% compounded quarterly for one year. Find the future value and the interest earned for the year. (Round to the nearest cent as needed.)


A loan of $4000 at 5% is compounded semiannually for 2 years. Find the future value and compound interest. Use the $1.00 future value table or the future value and compound interest formula.

Periods 0.50% 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00% 4.50% 5.00% 5.50%
1 1.00500 1.01000 1.01500 1.02000 1.02500 1.03000 1.03500 1.04000 1.04500 1.05000 1.05500
2 1.01003 1.02010 1.03023 1.04040 1.05063 1.06090 1.07123 1.08160 1.09203 1.10250 1.11303
3 1.01508 1.03030 1.04568 1.06121 1.07689 1.09273 1.10872 1.12486 1.14117 1.15763 1.17424
4 1.02015 1.04060 1.06136 1.08243 1.10381 1.12551 1.14752 1.16986 1.19252 1.21551 1.23882
5 1.02525 1.05101 1.07728 1.10408 1.13141 1.15927 1.18769 1.21665 1.24618 1.27628 1.30696
6 1.03038 1.06152 1.09344 1.12616 1.15969 1.19405 1.22926 1.26532 1.30226 1.34010 1.37884
7 1.03553 1.07214 1.10984 1.14869 1.18869 1.22987 1.27228 1.31593 1.36086 1.40710 1.45468
8 1.04071 1.08286 1.12649 1.17166 1.21840 1.26677 1.31681 1.36857 1.42210 1.47746 1.53469
9 1.04591 1.09369 1.14339 1.19509 1.24886 1.30477 1.36290 1.42331 1.48610 1.55133 1.61909
10 1.05114 1.10462 1.16054 1.21899 1.28008 1.34392 1.41060 1.48024 1.55297 1.62889 1.70814
11 1.05640 1.11567 1.17795 1.24337 1.31209 1.38423 1.45997 1.53945 1.62285 1.71034 1.80209
12 1.06168 1.12683 1.19562 1.26824 1.34489 1.42576 1.51107 1.60103 1.69588 1.79586 1.90121
13 1.06699 1.13809 1.21355 1.29361 1.37851 1.46853 1.56396 1.66507 1.77220 1.88565 2.00577
14 1.07232 1.14947 1.23176 1.31948 1.41297 1.51259 1.61869 1.73168 1.85194 1.97993 2.11609
15 1.07768 1.16097 1.25023 1.34587 1.44830 1.55797 1.67535 1.80094 1.93528 2.07893 2.23248
16 1.08307 1.17258 1.26899 1.37279 1.48451 1.60471 1.73399 1.87298 2.02237 2.18287 2.35526
17 1.08849 1.18430 1.28802 1.40024 1.52162 1.65285 1.79468 1.94790 2.11338 2.29202 2.48480
18 1.09393 1.19615 1.30734 1.42825 1.55966 1.70243 1.85749 2.02582 2.20848 2.40662 2.62147
19 1.09940 1.20811 1.32695 1.45681 1.59865 1.75351 1.92250 2.10685 2.30786 2.52695 2.76565
20 1.10490 1.22019 1.34686 1.48595 1.63862 1.80611 1.98979 2.19112 2.41171 2.65330 2.91776
21 1.11042 1.23239 1.36706 1.51567 1.67958 1.86029 2.05943 2.27877 2.52024 2.78596 3.07823
22 1.11597 1.24472 1.38756 1.54598 1.72157 1.91610 2.13151 2.36992 2.63365 2.92526 3.24754
23 1.12155 1.25716 1.40838 1.57690 1.76461 1.97359 2.20611 2.46472 2.75217 3.07152 3.42615
24 1.12716 1.26973 1.42950 1.60844 1.80873 2.03279 2.28333 2.56330 2.87601 3.22510 3.61459
25 1.13280 1.28243 1.45095 1.64061 1.85394 2.09378 2.36324 2.66584 3.00543 3.38635 3.81339
26 1.13846 1.29526 1.47271 1.67342 1.90029 2.15659 2.44596 2.77247 3.14068 3.55567 4.02313
27 1.14415 1.30821 1.49480 1.70689 1.94780 2.22129 2.53157 2.88337 3.28201 3.73346 4.24440
28 1.14987 1.32129 1.51722 1.74102 1.99650 2.28793 2.62017 2.99870 3.42970 3.92013 4.47784
29 1.15562 1.33450 1.53998 1.77584 2.04641 2.35657 2.71188 3.11865 3.58404 4.11614 4.72412
30 1.16140 1.34785 1.56308 1.81136 2.09757 2.42726 2.80679 3.24340 3.74532 4.32194 4.98395
Periods 0.50% 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00% 4.50% 5.00% 5.50%
Rate per period


Rate per period
Periods 6.00% 6.50% 7.00% 7.50% 8.00% 8.50% 9.00% 9.50% 10.00% 11.00% 12.00%
1 1.06000 1.06500 1.07000 1.07500 1.08000 1.08500 1.09000 1.09500 1.10000 1.11000 1.12000
2 1.12360 1.13423 1.14490 1.15563 1.16640 1.17723 1.18810 1.19903 1.21000 1.23210 1.25440
3 1.19102 1.20795 1.22504 1.24230 1.25971 1.27729 1.29503 1.31293 1.33100 1.36763 1.40493
4 1.26248 1.28647 1.31080 1.33547 1.36049 1.38586 1.41158 1.43766 1.46410 1.51807 1.57352
5 1.33823 1.37009 1.40255 1.43563 1.46933 1.50366 1.53862 1.57424 1.61051 1.68506 1.76234
6 1.41852 1.45914 1.50073 1.54330 1.58687 1.63147 1.67710 1.72379 1.77156 1.87041 1.97382
7 1.50363 1.55399 1.60578 1.65905 1.71382 1.77014 1.82804 1.88755 1.94872 2.07616 2.21068
8 1.59385 1.65500 1.71819 1.78348 1.85093 1.92060 1.99253 2.06687 2.14359 2.30454 2.47596
9 1.68948 1.76257 1.83846 1.91724 1.99900 2.08386 2.17189 2.26322 2.35795 2.55804 2.77308
10 1.79085 1.87714 1.96715 2.06103 2.15892 2.26098 2.36736 2.47823 2.59374 2.83942 3.10585
11 1.89830 1.99915 2.10485 2.21561 2.33164 2.45317 2.58043 2.71366 2.85312 3.15176 3.47855
12 2.01220 2.12910 2.25219 2.38178 2.51817 2.66169 2.81266 2.97146 3.13843 3.49845 3.89598
13 2.13293 2.26749 2.40985 2.56041 2.71962 2.88793 3.06580 3.25375 3.45227 3.88328 4.36349
14 2.26090 2.41487 2.57853 2.75244 2.93719 3.13340 3.34173 3.56285 3.79750 4.31044 4.88711
15 2.39656 2.57184 2.75903 2.95888 3.17217 3.39974 3.64248 3.90132 4.17725 4.78459 5.47357
16 2.54035 2.73901 2.95216 3.18079 3.42594 3.68872 3.97031 4.27195 4.59497 5.31089 6.13039
17 2.69277 2.91705 3.15882 3.41935 3.70002 4.00226 4.32763 4.67778 5.05447 5.89509 6.86604
18 2.85434 3.10665 3.37993 3.67580 3.99602 4.34245 4.71712 5.12217 5.55992 6.54355 7.68997
19 3.02560 3.30859 3.61653 3.95149 4.31570 4.71156 5.14166 5.60878 6.11591 7.26334 8.61276
20 3.20714 3.52365 3.86968 4.24785 4.66096 5.11205 5.60441 6.14161 6.72750 8.06231 9.64629
21 3.39956 3.75268 4.14056 4.56644 5.03383 5.54657 6.10881 6.72507 7.40025 8.94917 10.80385
22 3.60354 3.99661 4.43040 4.90892 5.43654 6.01803 6.65860 7.36395 8.14027 9.93357 12.10031
23 3.81975 4.25639 4.74053 5.27709 5.87146 6.52956 7.25787 8.06352 8.95430 11.02627 13.55235
24 4.04893 4.53305 5.07237 5.67287 6.34118 7.08457 7.91108 8.82956 9.84973 12.23916 15.17863
25 4.29187 4.82770 5.42743 6.09834 6.84848 7.68676 8.62308 9.66836 10.83471 13.58546 17.00006
26 4.54938 5.14150 5.80735 6.55572 7.39635 8.34014 9.39916 10.58686 11.91818 15.07986 19.04007
27 4.82235 5.47570 6.21387 7.04739 7.98806 9.04905 10.24508 11.59261 13.10999 16.73865 21.32488
28 5.11169 5.83162 6.64884 7.57595 8.62711 9.81822 11.16714 12.69391 14.42099 18.57990 23.88387
29 5.41839 6.21067 7.11426 8.14414 9.31727 10.65277 12.17218 13.89983 15.86309 20.62369 26.74993
30 5.74349 6.61437 7.61226 8.75496 10.06266 11.55825 13.26768 15.22031 17.44940 22.89230 29.95992
Periods 6.00% 6.50% 7.00% 7.50% 8.00% 8.50% 9.00% 9.50% 10.00% 11.00% 12.00%
Rate per period




Find the amount that should be set aside today to yield the desired future amount. (Round to the nearest cent as needed.)

Future amount needed Interest rate Compounding period Investment time
$6,000 12% Quarterly 4 years


Rate per period
Periods 0.5% 1% 1.5% 2% 2.5% 3%
1 0.99502 0.99010 0.98522 0.98039 0.97561 0.97087
2 0.99007 0.98030 0.97066 0.96117 0.95181 0.94260
3 0.98515 0.97059 0.95632 0.94232 0.92860 0.91514
4 0.98025 0.96098 0.94218 0.92385 0.90595 0.88849
5 0.97537 0.95147 0.92826 0.90573 0.88385 0.86261
6 0.97052 0.94205 0.91454 0.88797 0.86230 0.83748
7 0.96569 0.93272 0.90103 0.87056 0.84127 0.81309
8 0.96089 0.92348 0.88771 0.85349 0.82075 0.78941
9 0.95610 0.91434 0.87459 0.83676 0.80073 0.76642
10 0.95135 0.90529 0.86167 0.82035 0.78120 0.74409
11 0.94661 0.89632 0.84893 0.80426 0.76214 0.72242
12 0.94191 0.88745 0.83639 0.78849 0.74356 0.70138
13 0.93722 0.87866 0.82403 0.77303 0.72542 0.68095
14 0.93256 0.86996 0.81185 0.75788 0.70773 0.66112
15 0.92792 0.86135 0.79985 0.74301 0.69047 0.64186
16 0.92330 0.85282 0.78803 0.72845 0.67362 0.62317
17 0.91871 0.84438 0.77639 0.71416 0.65720 0.60502
18 0.91414 0.83602 0.76491 0.70016 0.64117 0.58739
19 0.90959 0.82774 0.75361 0.68643 0.62553 0.57029
20 0.90506 0.81954 0.74247 0.67297 0.61027 0.55368


4% 5% 6% 8% 10% 12%
0.96154 0.95238 0.94340 0.92593 0.90909 0.89286
0.92456 0.90703 0.89000 0.85734 0.82645 0.79719
0.88900 0.86384 0.83962 0.79383 0.75131 0.71178
0.85480 0.82270 0.79209 0.73503 0.68301 0.63552
0.82193 0.78353 0.74726 0.68058 0.62092 0.56743
0.79031 0.74622 0.70496 0.63017 0.56447 0.50663
0.75992 0.71068 0.66506 0.58349 0.51316 0.45235
0.73069 0.67684 0.62741 0.54027 0.46651 0.40388
0.70259 0.64461 0.59190 0.50025 0.42410 0.36061
0.67556 0.61391 0.55839 0.46319 0.38554 0.32197
0.64958 0.58468 0.52679 0.42888 0.35049 0.28748
0.62460 0.55684 0.49697 0.39711 0.31863 0.25668
0.60057 0.53032 0.46884 0.36770 0.28966 0.22917
0.57748 0.50507 0.44230 0.34046 0.26333 0.20462
0.55526 0.48102 0.41727 0.31524 0.23939 0.18270
0.53391 0.45811 0.39365 0.29189 0.21763 0.16312
0.51337 0.43630 0.37136 0.27027 0.19784 0.14564
0.49363 0.41552 0.35034 0.25025 0.17986 0.13004
0.47464 0.39573 0.33051 0.23171 0.16351 0.11611
0.45639 0.37689 0.31180 0.21455 0.14864 0.10367





Ronnie Cox has just inherited $27,000. How much of this money should he set aside today to have $17,000 to pay cash for a Ventura Van, which he plans to purchase in one year? He can invest at 1.5% annually, compounded annually. (Round to the nearest cent as needed.)




Find the future value and total interest of the annuity. Please use the table below to help solve. (Round to the nearest cent as needed).

Annuity type


Periodic payment


Annual interest rate


Payment paid


Years


Ordinary annuity


$2,200 8%

Quarterly


3


Rate per period
Periods 0.25% 0.50% 0.75% 1.00% 1.50% 2.00% 2.50% 3.00% 3.50% 4.00%
1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
2 2.002 2.005 2.008 2.010 2.015 2.020 2.025 2.030 2.035 2.040
3 3.008 3.015 3.023 3.030 3.045 3.060 3.076 3.091 3.106 3.122
4 4.015 4.030 4.045 4.060 4.091 4.122 4.153 4.184 4.215 4.246
5 5.025 5.050 5.076 5.101 5.152 5.204 5.256 5.309 5.362 5.416
6 6.038 6.076 6.114 6.152 6.230 6.308 6.388 6.468 6.55 6.633
7 7.053 7.106 7.159 7.214 7.323 7.434 7.547 7.662 7.779 7.898
8 8.070 8.141 8.213 8.286 8.433 8.583 8.736 8.892 9.052 9.214
9 9.091 9.182 9.275 9.369 9.559 9.755 9.955 10.159 10.368 10.583
10 10.113 10.228 10.344 10.462 10.703 10.950 11.203 11.464 11.731 12.006
11 11.139 11.279 11.422 11.567 11.863 12.169 12.483 12.808 13.142 13.486
12 12.166 12.336 12.508 12.683 13.041 13.412 13.796 14.192 14.602 15.026
13 13.197 13.397 13.601 13.809 14.237 14.680 15.140 15.618 16.113 16.627
14 14.230 14.464 14.703 14.947 15.450 15.974 16.519 17.086 17.677 18.292
15 15.265 15.537 15.814 16.097 16.682 17.293 17.932 18.599 19.296 20.024
16 16.304 16.614 16.932 17.258 17.932 18.639 19.380 20.157 20.971 21.825
17 17.344 17.697 18.059 18.430 19.201 20.012 20.865 21.762 22.705 23.698
18 18.388 18.786 19.195 19.615 20.489 21.412 22.386 23.414 24.500 25.645
19 19.434 19.880 20.339 20.811 21.797 22.841 23.946 25.117 26.357 27.671
20 20.482 20.979 21.491 22.019 23.124 24.297 25.545 26.870 28.280 29.778
21 21.533 22.084 22.652 23.239 24.471 25.783 27.183 28.676 30.269 31.969
22 22.587 23.194 23.822 24.472 25.838 27.299 28.863 30.537 32.329 34.248
23 23.644 24.310 25.001 25.716 27.225 28.845 30.584 32.453 34.460 36.618
24 24.703 25.432 26.188 26.973 28.634 30.422 32.349 34.426 36.667 39.083
25 25.765 26.559 27.385 28.243 30.063 32.03 34.158 36.459 38.950 41.646
26 26.829 27.692 28.590 29.526 31.514 33.671 36.012 38.553 41.313 44.312
27 27.896 28.830 29.805 30.821 32.987 35.344 37.912 40.710 43.759 47.084
28 28.966 29.975 31.028 32.129 34.481 37.051 39.860 42.931 46.291 49.968
29 30.038 31.124 32.261 33.450 35.999 38.792 41.856 45.219 48.911 52.966
30 31.113 32.280 33.503 34.785 37.539 40.568 43.903 47.575 51.623 56.085
35 36.529 38.145 39.854 41.66 45.592 49.994 54.928 60.462 66.674 73.652
40 42.013 44.159 46.446 48.886 54.268 60.402 67.403 75.401 84.550 95.026
45 47.566 50.324 53.290 56.481 63.614 71.893 81.516 92.720 105.782 121.029

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