Answer:
4,6,6,9
Step-by-step explanation:
A=4
B=6
C=6
D=9
all of these simplify down to 2/3
Slope of the line is -0.5
Step-by-step explanation:
- Step 1: Find the slope of the line using the equation
m = (y2 - y1)/(x2 - x1); Here x1 = -6, y1 = 1, x2 = 4 and y2 = -4
⇒ m = (-4 - 1)/(4 - -6)
= -5/10 = -1/2 = -0.5
Answer:
8 boxes
Step-by-step explanation:
To solve this question you must find the prime factors of both numbers
Apples number: 64
Oranges number: 24
Then:
64| 2
32| 2
16| 2
8 | 2
4 | 2
2 | 2
1
24| 2
12| 2
6 | 2
3 | 3
1
Now we take the common factors in both terms with their lowest exponent.
2 is a common factor and its smallest exponent is 3:
So the largest number of boxes you can make is 8
The number of apples that each box contains is:
The number of oranges that each box contains is:
Using <span>Compound interest formula:
</span>
<span><span>The exponential function for calculating the amount of money after <span>t <span>years, <span>A<span>(<span>t<span>), where<span> P <span>is the initial amount or principal, the annual interest rate is <span>r <span>and the number of times<span> interest is compounded per year is n, is given by
</span></span></span></span></span></span></span></span></span></span></span></span>
</span><span>from the given information:
p = 2,310 , r = 0.035 ,
</span><span>compounded daily ⇒⇒⇒ n =365
To calculate the time : </span>deposited April 12 and withdrawn July 5<span>
t = 2 months and 23 days = 83 days = 83/365 years
∴ n t = 365 * 83/365 = 83
Amount = </span>
<span>
= 2,328.46
</span>The interest earned = <span><span>2,328.6458</span> - 2,310 = 18.46
</span>