Answer:
$23,360
Step-by-step explanation:
Calculation to determine how much carol originally invested in the account
First step is to divide £23517.60 by 1.025
= (23,517.60)/(1+.025)
= (23,517.60)/1.025
=$22,944
Second step is to add back the $1,000 withdrew
=$22,944+$1,000
=$23,944
Now let calculate how much carol originally invested in the account
$23,944=1.025P
Divide both side by 1.025
P=$23,944/1.025
P=$23,360
Therefore the amount that carol originally invested in the account is $23,360
Answer:
20,944 years
Step-by-step explanation:
The formula you use for this type of decay problem is the one that uses the decay constant as opposed to the half life in years. We are given the k value of .00012. If we don't know how much carbon was in the bones when the person was alive, it would be safer to say that when he was alive he had 100% of his carbon. What's left then is 8.1%. Because the 8.1% is left over from 100% after t years, we don't need to worry about converting that percent into a decimal. We can use the 8.1. Here's the formula:
where N(t) is the amount left over after the decay occurs, 
is the initial amount, -k is the constant of decay (it's negative cuz decay is a taking away from as opposed to a giving to) and t is the time in years. Filling in accordingly,
Begin by dividing the 100 on both sides to get
Now take the natural log of both sides. Since the base of a natual log is e, natural logs and e "undo" each other, much like taking the square root of a squared number.
ln(.081)= -.00012t
Take the natual log of .081 on your calculator to get
-2.513306124 = -.00012t
Now divide both sides by -.00012 to get t = 20,944 years
In order to combine like terms, they have to first be organized. First combine the terms with the variable x, then the terms with no variables.
3x+13.5+5.2x-6
3x+5.2x=8.2x
13.5-6=7.5
The final simplified expression is 8.2x+7.5.
You just want to do 500/4=125 jewels on each pair of jeans
Answer:
We use negative values for the money Arleen spends.
a) We determine the change to the value on her gift card:
4(-35)+(-9)= -140+(-9)=-149
b) We determine the amount on money she has left on the gift card after renting the tiller and buying the rake:
200+(-149)=51
Since she has got $51 on her gift card and a wheelbarrow is $50 she is able to buy it:
51>50
RESULT
a) -$149 less b) yes
Step-by-step explanation:
