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:
.1
Step-by-step explanation:
Hi there
X+0.32x=82.5
Solve for x to get the cost price
1.32x=82.5
X=82.5/1.32
X=62.5 is the cost price
Hope it helps
Answer:
The correct answer is a. $2275.28; b. 17.04 years
Step-by-step explanation:
Principal to be invested is $2000
Interest rate (r) per year is 6.5 quarterly.
Interest is calculated compoundly.
a. Time (t) for the investment is given to be 2 years.
Amount after two years is = Principal ×
where the value of n is 4.
⇒ A = 2000 × ![( 1+ \frac{6.5}{400}) ^ {8}](https://tex.z-dn.net/?f=%28%201%2B%20%5Cfrac%7B6.5%7D%7B400%7D%29%20%5E%20%7B8%7D)
⇒ A = $2275.28.
b. Now the value of A is given to be triple the principal = $ (3 × 2000).
Therefore we need to find the value of t.
⇒ 3 × 2000 = 2000 × ![( 1+ \frac{6.5}{400}) ^ {4t}](https://tex.z-dn.net/?f=%28%201%2B%20%5Cfrac%7B6.5%7D%7B400%7D%29%20%5E%20%7B4t%7D)
⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)
⇒ t = 17.04
Therefore it would take 17.04 years for the principal to triple.