Answer:
-5/8, -0.62, -0.615
Step-by-step explanation:
For -5/8, dividing -5 by 8 will result in -0.63, that's why it's the least (the farthest negative number from 0).
Next is -0.62
Since -0.615 isn't rounded up to the nearest hundredths, it is the greatest because it's closest to 0.
Sequence 1,5,9,13,...
A(0) = 1 +4x0=1
A(1) =1 + 4x1 = 5
A(2) = 1+ 4x2= 9
A(3) = 1 +4x3=13
A(n)= 1+4n A(n-1) = 1+4(n-1) =1+4n-4= - 3+4n
A(n) - A(n-1) = (1+4n) - (-3=4n) = 4
A(n) = A(n-1) +4; 29 is the answer
Answer:
2nd Account has $19,000
1st Account has $42,000
Step-by-step explanation:
First let's split the money invested.
x is money in account 1
y is money in account 2
1st equation
<u>$61,000=x+y</u>
5%=0.05
7%=0.07
2nd equation
<u>0.05*x+0.07*y=$3,430</u>
x=61,000-y
substitute into 2nd equation
0.05(61,000-y)+0.07y=3430
Solve.
3050-0.05y+0.07y=3430
0.02y=3430-3050
0.02y=380
y=380/0.02
y=$19,000
There are 2(two) ways to solve for the 1st account, but I will do it the long way.
y=61,000-x
substitute into 2nd equation
0.07(61,000-x)+0.05x=3430
Solve.
4270-0.07x+0.05x=3430
-0.02x=3430-4270
-0.02x=-840
x=-840/-0.02
x=$42,000
The short way...
x=61,000-y
x=61,000-19,000
x=$42,000
Answer:
The slope of a line perpendicular to one with the slope of 13 is −3
Step-by-step explanation:
Answer:
The region between one standard deviation from the mean is (400,600) which should be 68.27% of the data.
Step-by-step explanation:
The mean of this data set is 500 and the standard deviation is 100. The data that are within one standard deviation of the mean, must be in the range between 400 and 600, which according to the normal curve should be about 68.27% of the samples. The shaded region is shown in red on the attached figure.
