m = 6.57 and n = -2
Detailed explanation:
To solve this question, convert the thickness of a dollar bill into standard notation and compare the two thicknesses.
0.07 compared to 0.0043 results in 0.0657
0.0657 = 6.57 x 10^-2
Thus, a quarter is thicker than a dollar by 6.57 x 10^-2.
m = 6.57 and n = -2
A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n
Answer- A,D,E
Step-by-step explanation:
A table featuring two columns with 5 rows. The first column, labeled x, contains the values: -2, 0, 2, 4. The second column, labeled y, includes the values: 6, 3.5, 1, -1.5.
Which equations correspond to the data shown in the table? Select all that apply.
y – 6 = -5/4(x + 2)
y – 2 = -5/4(x - 1)
y + 2 = -5/4(x - 6)
y – 1 = -5/4(x - 2)
y – 3.5 = -1.25x
This is just rewording the question
Let x represent the amount invested at 6% and y the amount at 9%.
The equation x+y=8,500 leads to x=8500-y.
For the interest rates, we know 6%=0.06 and 9%=0.09.
The equation becomes 0.06x + 0.09y=667.5 (substituting for x to use only y).
Expanding yields: 0.06(8500-y)+0.09y=667.5.
Solving this gives us 510-0.06y+0.09y=667.5 (-510).
This simplifies to 0.03y=117.5 (/0.03), yielding y=$3916.67 for the 9% investment.
Thus, X=8500-Y results in x=$4583.33 for the 6% investment.
