Answer:
$9000 at 4$
and
$10000 at 8%
Step-by-step explanation:
Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.
Recall the formula for interest as : 
where I is the interest, R is the annual rate of interest and t is the number of years.
Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x and I2 = y (0.08) (1) = 0.08 y
Total Interest = Interest (from the 4% account) + Interest (from the 8% account)
Total Interest = $1160 = 0.04 x + 0.08 y
we also know that the total invested (x + y) adds to $19,000, that is:
$19,000 = x + y
Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;
y = 19000 - x
1160 = 0.04 x + 0.08 (19000 - x)
1160 = 0.04 x + 1520 - 0.08 x
0.08 x - 0.04 x = 1520 - 1160
0.04 x = 360
x = 360/0.04 = $9000
Then the other investment was : y = $19000 - $9000 = $10000
(2,7) is going to be the answer for that
It’s easiest to think about it this way:
If the pond is 15 feet wide, then adding 3 feet to each side would increase the side length to the square by six feet (3 feet on each side). This makes the area within the square equal to 18x18 feet, or 324 square feet. But, this isn’t the area of the sidewalk, it’s the area of the sidewalk plus the area of the pool.
The pool is fifteen feet wide, which means that it has an area of 225 square feet. So, to find the area of the side walk, we can subtract the area of the pool from the area of the pool and sidewalk, which will give us the area of the sidewalk by itself.
324-225=99 square feet.
The pool has an area of 225 square feet, and the sidewalk has an area of 99 feet.
Answer:
(x + 8)² + (y - 3)² = 64
Step-by-step explanation:
(x - (-8))² + (y - 3)² = 8²
(x + 8)² + (y - 3)² = 64
Answer:
C
Step-by-step explanation:
If we know that x is greater than or equal to 4, then we should substitute 4 in place of x in each possible solution.
A 4 + 3 ≥ 1 True, it's greater, but it can't be equal to.
B 3(4) ≥ 1 It's greater once again, can't be equal to.
C 4 - 3 ≥ 1 If x can also be greater than 4, then it works both ways. Equal and greater than.
