Answer:
-31
Step-by-step explanation:
If we continue to subtract 5 from the previous term, the sequence continues ...
4, -1, -6, -11, -16, -21, -26, -31, -36, ...
The 8th term is -31.
_____
This is an arithmetic sequence with first term a1 = 4 and common difference d = -5. The general term (an) of such a sequence is ...
an = a1 +d(n -1)
Filling in the values for this sequence, the general term is ...
an = 4 -5(n -1)
Then the 8th term is ...
a8 = 4 -5(8 -1) = 4 -35
a8 = -31
(3 3/4) / (2/8).....turn mixed number to improper fraction
(15/4) / (2/8)...when dividing fractions, " flip " what u r dividing by, then multiply.
15/4 * 8/2 = 120/8 = 15
Circumference of a circle =
(diameter)
Diameter = 23 in.
Plug in the diameter = 23 in in the formula of circumference given above
Circumference of a circle =
(23)
Circumference of a circle = 23
= 3.14
Circumference of a circle = 23 (3.14)
Circumference of a circle = 72.22 in
Option D is the answer
Answer:
$2000 was invested at 6% and $1000 was invested at 7%
Explanation:
Let:
x= the amount invested at 6% annual interest
y= the amount invested at 7% annual interest
The total amount invested was $3000. So,
x+y =3000
or
y=3000-x ===> Equation 1
Then, the total interest earned for the year was $190. So,
0.06x+0.07y=190 =====> Equation 2
Substitute y=3000-x into 0.06x+0.07y=190.

Substitute x=2000 into x+y =3000.
So,

Therefore, $2000 was invested at 6% and $1000 was invested at 7%.