Answer:
The number of years needed is 15.75 years.
Step-by-step explanation:
The investment amount (present value) = $200
Interest rate =4.5%
Double of investment = $400
Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.
Future value = present value ×(1+interest rate)^n
400 = 200×(1+4.5%)^n
N = 15.75 years
The number of years required to double the amount is 15.75 years.
In order to prove Rathan wrong, we only need one counterexample. Take the number 6. 6 is even, but it has the odd number 3 as a factor, so clearly, not all factors of even numbers are even.
Answer:
D. 7
Step-by-step explanation:
The question is incomplete. Here is a possible complete question
For the given expression, which whole number (w) will make the expression true? 5/6 < w/6
A. 3
B. 4
C. 5
D. 7
Given the inequality expression:
5/6 < w/6
Cross multiply
5×6 < 6×w
30<6w
Divide both sides by 6
30/6 = 6w/6
5<w
Reciprocate both sides(this will change the sense of the inequality)
1/5>1/w
Cross multiply
w > 5×1
w>5
This shows that the value of w is a value greater than 5 but not 5. According to the option, the only value greater than 5 is 7. Hence the whole number (w) that will make the expression true is 7
Answer:
The number of pages that Polina read was 90 and the number of pages that Marcus read was 18
Step-by-step explanation:
Let
x -----> number of pages that Polina read
y ----> number of pages that Marcus read
we know that
x+y=108 ----> equation A
x=5y -----> equation B
substitute equation B in equation A and solve for y
Find the value of x
therefore
The number of pages that Polina read was 90 and the number of pages that Marcus read was 18
