Answer: point F is at <u> 0.6 </u> on the number line
=============================================================
Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.
Given parameters;
Let us solve this problem step by step;
Let us represent Simon's money by S
Kande's money by K
- Simon has more money than Kande
S > K
- if Simon gave Kande K20, they would have the same amount;
if Simon gives $20, his money will be S - 20 lesser;
When Kande receives $20, his money will increase to K + 20
S - 20 = K + 20 ------ (i)
- While if Kande gave Simon $22, Simon would then have twice as much as Kande;
if Kande gave Simon $22, his money will be K - 22
Simon's money, S + 22;
S + 22 = 2(K - 22) ------ (ii)
Now we have set up two equations, let us solve;
S - 20 = K + 20 ---- i
S + 22 = 2(K - 22) ; S + 22 = 2K - 44 ---- ii
So, S - 20 = K + 20
S + 22 = 2K - 44
subtract both equations;
-20 - 22 = (k -2k) + 64
-42 = -k + 64
k = 106
Using equation i, let us find S;
S - 20 = K + 20
S - 20 = 106 + 20
S = 106 + 20 + 20 = 146
Therefore, Kande has $106 and Simon has $146
Here is the formula you'll need
Total = Principal * (1 + (rate/n))^n*years
I don't know how to solve that for "n" so we'll use trial and error.
If compounded annually, total =
<span>
<span>
<span>
10,841.24
</span>
</span>
</span>
If compounded quarterly, total =
<span>
<span>
<span>
10,955.64
</span>
</span></span><span>If compounded monthly, total =
</span>
<span>
<span>
<span>
10,981.82
</span>
</span>
</span>
If compounded daily, total =
<span>
<span>
<span>
10,994.58
</span>
</span>
</span>
Therefore the answer is "A", daily.
Source:
http://www.1728.org/compint3.htm
<span>
</span><span><span>
</span>
</span>
Answer:
Step-by-step explanation:
The result of simplifying each number (-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃ using the exponent rules is -3
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃
Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:
(-3)¹/₃⁺ ¹/₃ ⁺ ¹/₃
(-3)³/₃
(-3)¹
-3
<h3>What is an exponent?</h3>
In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
Learn more about exponent at: brainly.com/question/847241
#SPJ4
