QuestionBeregn stigning eller slutværdi for følgende: a) $v æ k s t \%=94$ , startværdi $=521$ b) $v æ k s t \%=26$ , startværdi $=420$ c) vækst $\%=30$ , startværdi $=844$ d) vækst $\%=84$ , startværdi $=109$ e) vækst $\%=55$ , startværdi $=621$ f) vækst $\%=7$ , startværdi $=355$ g) $v æ k s t \%=66$ , startværdi $=123$ h) vækst $\%=27$ , startværdi $=349$

Studdy Solution

STEP 1

Assumptions1. The growth percentage is the percentage increase from the start value. . The start value is the initial value before the growth.
3. The increase is the amount the start value has grown by.
4. The end value is the start value plus the increase.
5. The growth percentage, start value, increase, and end value are all given in the problem.

STEP 2

First, we need to calculate the increase for each case. We can do this by multiplying the start value by the growth percentage.
$Increase = Start\, value \\times Growth\, percentage$

STEP 3

Now, plug in the given values for the start value and growth percentage to calculate the increase for each case.
a) $Increase =521 \\times94\%$ b) $Increase =420 \\times26\%$ c) $Increase =844 \\times30\%$ d) $Increase =109 \\times84\%$

STEP 4

Convert the percentages to decimal values.
a) $94\% =0.94$ b) $26\% =0.26$ c) $30\% =0.30$ d) $84\% =0.84$

STEP 5

Calculate the increase for each case.
a) $Increase =521 \\times0.94 =489.74$ b) $Increase =420 \\times0.26 =109.20$ c) $Increase =844 \\times0.30 =253.20$ d) $Increase =109 \\times0.84 =91.56$

STEP 6

Now, we need to calculate the end value for each case. We can do this by adding the start value and the increase.
$End\, value = Start\, value + Increase$

STEP 7

Now, plug in the given values for the start value and growth percentage to calculate the end value for each case.
e) $End\, value =621 \\times (1 +55\%)$ f) $End\, value =355 \\times (1 +7\%)$ g) $End\, value =123 \\times (1 +66\%)$ h) $End\, value =349 \\times (1 +27\%)$

STEP 8

Convert the percentages to decimal values.
e) $55\% =0.55$ f) $7\% =0.07$ g) $66\% =0.66$ h) $27\% =0.27$

STEP 9

Calculate the end value for each case.
e) $End\, value =621 \\times ( +.55) =961.55$ f) $End\, value =355 \\times ( +.07) =379.85$ g) $End\, value =123 \\times ( +.66) =204.18$ h) $End\, value =349 \\times ( +.27) =443.23$ The calculated increases and end values area) Increase =489.74b) Increase =109.20c) Increase =253.20d) Increase =91.56e) End value =961.55f) End value =379.85g) End value =204.18h) End value =443.23

Was this helpful?

Studdy Solution

STEP 1

STEP 2

First, we need to calculate the increase for each case. We can do this by multiplying the start value by the growth percentage.
$Increase = Start\, value \\times Growth\, percentage$

STEP 3

Now, plug in the given values for the start value and growth percentage to calculate the increase for each case.
a) $Increase =521 \\times94\%$ b) $Increase =420 \\times26\%$ c) $Increase =844 \\times30\%$ d) $Increase =109 \\times84\%$

STEP 4

Convert the percentages to decimal values.
a) $94\% =0.94$ b) $26\% =0.26$ c) $30\% =0.30$ d) $84\% =0.84$

STEP 5

Calculate the increase for each case.
a) $Increase =521 \\times0.94 =489.74$ b) $Increase =420 \\times0.26 =109.20$ c) $Increase =844 \\times0.30 =253.20$ d) $Increase =109 \\times0.84 =91.56$

STEP 6

Now, we need to calculate the end value for each case. We can do this by adding the start value and the increase.
$End\, value = Start\, value + Increase$

STEP 7

Now, plug in the given values for the start value and growth percentage to calculate the end value for each case.
e) $End\, value =621 \\times (1 +55\%)$ f) $End\, value =355 \\times (1 +7\%)$ g) $End\, value =123 \\times (1 +66\%)$ h) $End\, value =349 \\times (1 +27\%)$

STEP 8

Convert the percentages to decimal values.
e) $55\% =0.55$ f) $7\% =0.07$ g) $66\% =0.66$ h) $27\% =0.27$

STEP 9

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Studdy Solution

STEP 1

STEP 2

First, we need to calculate the increase for each case. We can do this by multiplying the start value by the growth percentage.Increase=Start valuetimesGrowth percentageIncrease = Start\, value \\times Growth\, percentageIncrease=StartvaluetimesGrowthpercentage

STEP 3

STEP 4

Convert the percentages to decimal values.a) 94%=0.9494\% =0.9494%=0.94b) 26%=0.2626\% =0.2626%=0.26c) 30%=0.3030\% =0.3030%=0.30d) 84%=0.8484\% =0.8484%=0.84

STEP 5

STEP 6

Now, we need to calculate the end value for each case. We can do this by adding the start value and the increase.End value=Start value+IncreaseEnd\, value = Start\, value + IncreaseEndvalue=Startvalue+Increase

STEP 7

STEP 8

Convert the percentages to decimal values.e) 55%=0.5555\% =0.5555%=0.55f) 7%=0.077\% =0.077%=0.07g) 66%=0.6666\% =0.6666%=0.66h) 27%=0.2727\% =0.2727%=0.27

STEP 9

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

First, we need to calculate the increase for each case. We can do this by multiplying the start value by the growth percentage.
$Increase = Start\, value \\times Growth\, percentage$

Convert the percentages to decimal values.
a) $94\% =0.94$ b) $26\% =0.26$ c) $30\% =0.30$ d) $84\% =0.84$

Now, we need to calculate the end value for each case. We can do this by adding the start value and the increase.
$End\, value = Start\, value + Increase$

Convert the percentages to decimal values.
e) $55\% =0.55$ f) $7\% =0.07$ g) $66\% =0.66$ h) $27\% =0.27$