Sydney is 44 years old.
50-6=44
Hope i helped.
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Answer:
Yes
Step-by-step explanation:
If we need to find the distance between two points on a number line, we subtract one of the points from the other. We then take the absoulte value of the difference. You done this right.
Answer:- Option b. is the right answer. A dependent variable is manipulated by changes to the independent variable.
Explanation:-
In mathematical modelling or scientific research a variable is defined as a term that has a quantity that varies. There are two kinds of variables:- 1) dependent variables 2) independent variables.
A independent variable can be change by the experimenter to check the effects on dependent variables which is observed by the him in a scientific experiment.
Thus, A dependent variable is manipulated by changes to the independent variable.
Answer:
Yolanda will have a balance of $34,043.10 in 14 years.
Step-by-step explanation:
This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.
To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA = ![\frac{PMT}{r}[1-(1+r)^{-t} ]\\](https://tex.z-dn.net/?f=%5Cfrac%7BPMT%7D%7Br%7D%5B1-%281%2Br%29%5E%7B-t%7D%20%5D%5C%5C)
PMT= recurring payment = $300
r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.
t = total duration ; 14 *12 = 168 months
Next, plug in the numbers into the FVA formula;
FVA = ![\frac{300}{0.005} [ 1-(1+0.005)^{-168} ]](https://tex.z-dn.net/?f=%5Cfrac%7B300%7D%7B0.005%7D%20%5B%201-%281%2B0.005%29%5E%7B-168%7D%20%5D)
FVA = 60,000 * 0.5673849
FVA = 34,043.0969
Therefore, Yolanda will have a balance of $34,043.10 in 14 years
Answer: Simple interest amount larger by $9.00
Step-by-step explanation:
Simple interest of 4.1% on $2,750 for 4 years:
Formula for simple interest is:
= Amount * (1 + rate * no. of periods)
= 2,750 * ( 1 + 4.1% * 4)
= 2,750 * 1.164
= $3,201
Compound interest of 3.8% on $2,750 for 4 years:
= Amount * (1 + rate) ^ no. of periods
= 2,750 * ( 1 + 3.8%)⁴
= $3,192
Difference:
= 3,201 - 3,192
= $9.00
