Answer:
Option A earns higher interest($84115.58)
the difference in interest between the two option is $197.9
Step-by-step explanation:
In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns
Given data
Principal P= $43,000
Rate r= 6%= 0.06
time t= 3years
n= 4 (applicable for compound interest compounded quarterly)
solving for option A gives her 6% compounded quarterly
the compound interest formula is
Interest is =$8411.58
solving for option B which gives her 6% simple interest annually
the simple interest formula is
Interest is= $8213.68
calculating the diference in interest between the two options we have
= $197.9
Option A earns higher interest
X = 2y - 12....so sub 2y - 12 in for x in the other equation
3x + 4y = 14
3(2y - 12) + 4y = 14
6y - 36 + 4y = 14
6y + 4y = 14 + 36
10y = 50
y = 50/10
y = 5
x = 2y - 12
x = 2(5) - 12
x = 10 - 12
x = -2
solution is (-2,5) <==
Answer:
the probability is 0.0067
Step-by-step explanation:
The computation of the probability of receiving no e-mails during an hour is shown below;
Let us assume x be the number of emails received during an hour
Now the probability of receiving no e-mails is
= e^-5 × 5^0÷ 0!
= e^-5 × 1 ÷ 1
= e^-5
= 0.00674
= 0.0067
Hence, the probability is 0.0067
Noice
ook, so use u subsitution
remember that dy/dx(sin(x))=cos(x)
u=sin(x)
du/dx=cos(x)
du=cos(x) dx
so then
replace
we do some stuff
u=sin(x)
The equation would be written as 8(x-3)
Hint: “the result” emphasizes parenthesis, so whenever you see that in a word problem, make sure to put parenthesis around whatever the problem is.
Hope this helps!