Answer: 3
Step-by-step explanation:
1. Convert the mixed number to fraction:
- Multiply the denominator of the fraction by the whole number.
- Add the product obtained and the numerator of the fraction.
- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.
Then:

2. Multiply the numerators.
3. Multiply the denominator.
4. Reduce the fraction.
Then:

Answer:
$3750
Step-by-step explanation:
Amount = principal + interest
Simple interest = Principal *Rate * time/100
Simple interest = 2500*10*5/100
Simple interest = 25*50
Simple interest = $1250
Amount = $2500+$1250
Amount after 5 years is $3750
Answer:
y = -2x + 16.
Step-by-step explanation:
The slope of the perpendicular line = -1 / slope of the given line
= -1 / 1/2 = -2.
Using the point slope form of the equation of a straight line:
y - y1 = m (x - x1)
y - 8 = -2(x - 4)
y - 8 = -2x + 8
y = -2x + 16 is the required equation.
Answer:
There are 8 inventors.
Step-by-step explanation:
- Let 's' be the salesperson
Given that there are 3 more than twice as many salespeople as inventors.
Also given that the whole company has 27 employees.
i.e.
s + i = 27
substituting s = 3+2i
3 + 2i + i= 27
3 + 3i = 27
3i = 27 - 3
3i = 24
divide both sides by 3
i = 8
- Thus, there are 8 inventors.
<u>VERIFICATION</u>
As the total number of employees is 27.
so the salespeople will be:
s = 3+2i
= 3 + 2(8)
= 3 + 16
= 19
Thus, the total employees are verified as:
s + i = 27
19 + 8 = 27
27 = 27