Answer:
16.23
Step-by-step explanation:
Use cosine to solve.
cos = adjacent / hypotenuse
cos 52 = 10 / x
(x = AB)
(cos 52)(x) = 10
x = 10 / (cos52)
x = 10 / 0.616
x = 16.2338
AB = 16.23
Answer:
7 = 24
Step-by-step explanation:
Answer:
$1600 invested in 9% fund
$700 invested in 4% fund
Step-by-step explanation:
Let
amount invested in 9% account be "x"
so
amount invested in 4% account would be "2300 - x"
The profit from the account would be the percentage (in decimal) multiplied with the amount invested in that account. So,
<u>Profit in 9% account:</u>
9% = 9/100 = 0.09
0.09 * x
0.09x
<u>Profit in 4% account:</u>
4% = 4/100 = 0.04
0.04(2300-x)
92 - 0.04x
Total profit = 0.09x + 92 - 0.04x
This is equal to 172. We equate this and find x:
Now,
2300 - x = 2300 - 1600 = 700
Hence,
$1600 invested in 9% fund
$700 invested in 4% fund
Answer:
C. ±4/5
Step-by-step explanation:
25x² = 16
25x² - 16 = 16 - 16
25x² - 16 = 0
25x² + 20x - 20x - 16 = 0
(25x² + 20x) + (- 20x - 16) = 0
5x(5x + 4) - 4(5x + 4) = 0
(5x - 4)(5x + 4) = 0
5x - 4 =0
5x + 4 = 0
± is a symbol which represents addition and subtraction.
Answer:
Step-by-step explanation:
The centerpoint (a,b) is (6,7), the radius r is 2. Both can be read from the graph.
With that you can fill in the standard equation of a circle: