Simple Interest P = 500t = 6/12r =.06 Time must be measured in years. P = 8000r =.05t = 3 n = 4 n = 12 n = 365 A = Pe rt.

I P r t

1ntrA P

n

rtA Pe

Simple Interest

P = 500 t = 6/12 r =.06Time must be measured in years.

1506.021500

I

P = 8000 r =.05 t = 3 34

405.18000

An = 4 04.9286

312

1205.18000

An = 12 78.9291

3365

36505.18000

An = 365 58.9294

305.08000 eA 67.9294A = Pert

1 1n

errn

1rer e

n = 12

11206.1

12

er 0616778119.0

%16778119.6

106. ere 0618365465.0%18365465.6

14.14

14

rre

14.14

14

r

44

4

14.14

1

r

4 14.14

1 r

114.14

4 r

4114.14 r

%3197939.13133197939.0 r

nt

nrPA

1

t12

1205.1800016000

t12

1205.12

2log121205.1

t

12

2log1205.1

t

yrst 9.13

rtA PetPeA 09.0 te 09.013 t09.03ln

Convert to log.

Convert to log. 09.03ln

t yrs2.12

44

4035.110000

P 88.8698$

1ntrP A

n

Growth r > 0…Decay r < 0.

k < 0 will cause the temperature to decay.

Room Temperature.

Oven Temperature.

rtPeA

tetN 045.0100X min & max;Y min & max

125.2 grams

tetN 045.0100te 045.0100150

te 045.0

100150

Divide by 100

t045.05.1ln

Convert to ln & simplify.

dayst 9045.05.1ln

Divide by .045

te 045.02The population would be N(t) = 200 and 200 will be divided by 100 so ….. Convert to ln.

t045.02ln Divide by .045

dayst 4.15045.02ln

0;0 keTuTtu kt

T = Room Temperature = 30o u0 = Oven Temperature =100o

ktkt eetu 70303010030 Substitute in the temperatures into the formula and simplify.

Substitute in 80o for u(t) & time of 5 minutes for t and solve for k.

5703080 keke57050

Subtract 30.

Divide 70.

ke57050

Convert to ln & simplify.

k575ln

Divide 5.

0673.575ln

k

tetu 0673.7030

Rewrite the formula w/ k.

Substitute in 50o for u(t) and solve for t.te 0673.703050 Subtract 30.

te 0673.7020 Divide 70.

te 0673.

7020 Convert to ln &

simplify.

t0673.72ln

Divide -.0673.

.min6.180673.72ln

t

X min & max; Y min & max

Trace, 5, and Enter 2nd Trace, Intersection, Enter on all 3 questions.

39.2 minutes

The temperature is approaching room temperature of 30o C. H.A. y = 30.

Change Y2 to 35.

Enter the data to L1 & L2.

Do an ExpReg. STAT, CALC

From the calculator, the exponential equation is… xy 085567777.143.19820

Your uncle wants the equation in the form rtPeA43.19820P xrte 085567777.1

STRONG Correlation! x

tre 085567777.1t = x, therefore

er = 1.085567777085567777.1re

Solve for r.Convert to ln.

085567777.1lnr0821.r

teA 0821.43.19820Write equation.

$45,047.31

Enter the data to L1 & L2.

Do a LnReg. STAT, CALC

Store in Y1

xy ln6980.812761.449

STRONG Correlation!

x = 1650

1650ln6980.812761.449 yy = 156 computers You can type it all in

or since we stored the equation in Y1, store 1650 for x and ask for Y1.