According to the law of cosines:
.
Substituting all the values we know and finding
using a calculator, we have:
We discard the negative solution clearly.
Answer: b=9 units
Answer:
$1,179
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, lets change 2.6% into a decimal:
2.6% -> 
-> 0.026
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
The account balance after 10 years will be $1,179
Step-by-step explanation:
Answer:
x = -3/2, x = 4
Step-by-step explanation:
4x² - 7x = 3x + 24, first put everything on one side
4x² - 10x - 24 = 0, factor 2 out
2(2x² - 5x - 12) = 0 then factor. You need two numbers that multiply to be -24 and add to be -5, so -8 and 3 are the factors.
(2x² - 8x) + (3x - 12) group them either way and then factor out GCF
2x(x - 4) + 3(x - 4) = 0
(2x + 3)(x - 4) = 0, set each factor = 0 and solve
2x + 3 = 0, 2x = -3, x = -3/2
x - 4 = 0, x = 4
56% of 80
56/100 X 80/1= 224/5 = 44 4/5 or 44.8
