Answer:
1. 15
2. 27
3. 4
4. 72
5. 2
6. 9
7. 1
Step-by-step explanation:
Answer:
b) 91
Step-by-step explanation:
<u>Step 1: Multiple marks by its weights</u>
<em>Homework average:</em> 95 x 20% = 19
<em>Quiz average: </em>90 x 20% = 18
<em>Test average:</em> 87 x 40% = 34.8
<em>Final exam:</em> y x 20% = 0.2y
<u>Step 2: Add all weighted averages and find y</u>
19+18+34.8+0.2y = 90
71.8 + 0.2y = 90
y = 18.2/0.2
y = 91
Therefore, Anna needs to score minimum 91 in the final exam so that she can score a 90 in class.
Option b is correct.
!!
Working out
Percentage= Difference/Original value x 100
Difference =4735-4049=686
P=686/4735
=0.1448... × 100
=14.5
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
The rules of exponents tell you ...
... (a^b)(a^c) = a^(b+c) . . . . . . applies inside parentheses
... (a^b)^c = a^(b·c) . . . . . . . . applies to the overall expression
The Order of Operations tells you to evaluate inside parentheses first. Doing that, you have ...
... x^(4/3)·x^(2/3) = x^((4+2)/3) = x^2
Now, you have ...
... (x^2)^(1/3)
and the rule of exponents tells you to multiply the exponents.
... = x^(2·1/3) = x^(2/3)
Answer: $14.85
Step-by-step explanation:
Ww can solve the question using direct proportion with the formula y = kx
where y = annual salary
x = monthly policy cost.
k = constant of proportionality
Since y = kx
38500 = 11.55k
k = 38500 / 11.55
k = $3333.33
When Randy has an annual salary of $49,500, the amount Randy expect to pay for his policy will be:
y = kx
49500 = 3333.33x
x = 49500 / 3333.33
x = 14.85
The amount that Randy expect to pay for his policy will be $14.85