Answer:
I. First number, a = 40.
II. Second number, b = 50.
III. Third number, c = 120.
Step-by-step explanation:
Let the three numbers be a, b and c respectively.
Given the following data;
Translating the word problem into an algebraic equation, we have;
a + b + c = 210
b = a + 10
c = 3a
Substituting the value of b and c into the equation, we have;
a + a + 10 + 3a = 210
5a + 10 = 210
5a = 210 - 10
5a = 200
a = 200/5
<em>a = 40</em>
To find the value of b;
b = a + 10
b = 40 + 10
<em>b = 50</em>
To find c
c = 3a
c = 3*40
<em>c = 120</em>
The annual interest rate is 3.5%.
Solution:
Given Interest (I) = $26.25
Principal (P) = $500
Time (t) = 18 months
Rate of interest (r) = ?
Time must be in years to find the rate per annum.
1 year = 12 months
Divide the time by 12.
Time (t) =
years
Now, find the rate of interest using simple interest formula.
<u>Simple interest formula:</u>






⇒ r = 3.5%
Hence the annual interest rate is 3.5%.
X^2=10
square root it
sqrt(x^2) = sqrt (10)
x= sqrt(10)
Cannot reduce more
Answer:
Step-by-step explanation:
If m = 4, z = 9 and r = 1/6
1. 3 + m = 3 + 4 = 7
2. z - m = 9 - 4 = 5
3. 12r = 12 × 1/6 = 2
4. 60r - 4 = 60(1/6) - 4 = 10-4 = 6
5. 4m - 2 = 4(4) - 2 = 16-2 = 14
Answer:
x<-2
Step-by-step explanation:
Divide both sides of the inequality by 5 to solve for x.