Math

QuestionBeregn slutværdien for følgende startværdier og vækstrater: a) 325325, 24%24\%; b) 800800, 17%17\%; c) 176176, 75%75\%; d) 200200, 14%14\%; e) 610610, 50%50\%; f) 195195, 20%20\%; g) 9090, 60%60\%; h) 897897, 100%100\%.

Studdy Solution

STEP 1

Assumptions1. The starting value and growth rate are given for each part of the problem. . The growth rate is calculated as a one-time increase, not compounded.
3. The final value is calculated by multiplying the starting value by (1 + growth rate).

STEP 2

We need to find the final value for each part of the problem. The formula to calculate the final value isFinalvalue=Startvaluetimes(1+Growthrate)Final\, value = Start\, value \\times (1 + Growth\, rate)

STEP 3

For part a), plug in the given values for the start value and growth rate to calculate the final value.
Finalvalue=325times(1+24%)Final\, value =325 \\times (1 +24\%)

STEP 4

Convert the percentage to a decimal value.
24%=0.2424\% =0.24Finalvalue=325times(1+0.24)Final\, value =325 \\times (1 +0.24)

STEP 5

Calculate the final value for part a).
Finalvalue=325times1.24=403Final\, value =325 \\times1.24 =403

STEP 6

Repeat the process for part b) with the given start value and growth rate.
Finalvalue=800times(1+17%)Final\, value =800 \\times (1 +17\%)

STEP 7

Convert the percentage to a decimal value and calculate the final value for part b).
17%=0.1717\% =0.17Finalvalue=800times1.17=936Final\, value =800 \\times1.17 =936

STEP 8

Repeat the process for parts c) to h) with the given start values and growth rates, converting the percentages to decimal values and calculating the final values.
For part c):
Finalvalue=176times(1+75%)=176times1.75=308Final\, value =176 \\times (1 +75\%) =176 \\times1.75 =308For part d):
Finalvalue=200times(1+14%)=200times1.14=228Final\, value =200 \\times (1 +14\%) =200 \\times1.14 =228For part e):
Finalvalue=610times(1+50%)=610times1.5=915Final\, value =610 \\times (1 +50\%) =610 \\times1.5 =915For part f):
Finalvalue=195times(1+20%)=195times1.2=234Final\, value =195 \\times (1 +20\%) =195 \\times1.2 =234For part g):
Finalvalue=90times(1+60%)=90times1.6=144Final\, value =90 \\times (1 +60\%) =90 \\times1.6 =144For part h):
Finalvalue=897times(1+100%)=897times2=1794Final\, value =897 \\times (1 +100\%) =897 \\times2 =1794The final values area)403b)936c)308d)228e)915f)234g)144h)1794

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