D=2n: there are twice as many dimes as nickels.
n+d+q=52: a total of 52 coins, using d from above in this gives you:
n+2n+q=52 combine like terms on left side
3n+q=52 subtract 3n from both sides
q=52-3n
Then you are told that the coins have a total value of $6 which is equal to 600 cents. So we can say:
25q+10d+5n=600 divide all terms by 5
5q+2d+n=120, and from earlier we saw q=52-3n and d=2n so you have:
5(52-3n)+2(2n)+n=120 expanding...
260-15n+4n+n=120 combining like terms
260-10n=120 subtract 260 from both sides
-10n=-140 divide both sides by -10
n=14, since q=52-3n and d=2n
q=(52-3(14))=52-42=10
d=2(14)=28
So there are 10 quarters, 28 dimes, and 14 nickels or as your choices put it:
q=10, d=28, n=14 (the correct answer is d.)
Answer:
thanks, you too
Step-by-step explanation:
Answer:
<h3>"When constructing a confidence interval for a population mean, if a population is normally distributed and a small sample is taken, then the distribution of is based on the <u> "t" </u>distribution</h3>
Step-by-step explanation:
Given that "When constructing a confidence interval for a population mean, if a population is normally distributed and a small sample is taken, then the distribution of is based on the "<u>t"</u>distribution."
Because the given sample size is smaller so we have to use the "t" distribution for constructing the confidence interval for a given population
Answer:
the full value is $8507.86
Step-by-step explanation:
Use I=prt(interest rate formula)
p=principal(8079)
r=rate of interest(0.091) -Always convert % into decimal when dealing with interest
t= time (7/12 or 0.583)- if time is in months form you need to put a denominator of 12
now use the formula
I=8079*0.091*0.583
I=428.86
now you need to add the interest to the principal to get full value
428.86+8079=$8507.86