Answer:
It will take 10.63 years.
Step-by-step explanation:
Giving the following information:
Present value (PV)= $4,000
Future Value (FV)= $10,000
Interest rate (i)= 9% annual compounded
<u>To calculate the time required to reach $10,000, we need to use the following formula:</u>
n= ln(FV/PV) / ln(1+i)
n= number of years
n= ln(10,000 / 4,000) / ln(1.09)
n= 10.63
It will take 10.63 years.
Answer:
cheeseburger is $3 and chips is $0.75
Step-by-step explanation:
Let price of cheeseburger be x while price of a bag of chips be y hence for the case of Nathan, we can write the equation as x+y=3.75. Similarly, for Jack, we can write it as 2x+3y=8.25
x+y=3.75 hence x=3.75-y and substituting this into the second equation we have
2x+3y=8.25
2(3.75-y)+3y=8.25
7.5-2y+3y=8.25
y=8.25-7.5=0.75
x=3.75-y=3.75-0.75=3
Therefore, price of cheeseburger is $3 and chips is $0.75
Answer:
5
Step-by-step explanation:
→ Let x = √20 + √20 .....
x
→ Square both sides
x² = 20 + √20 +√20 + √20
→ Replace √20 +√20 + √20 with x
x² = 20 + x
→ Move everything to the left hand side
x² - 20 - x = 0
→ Factorise
( x + 4 ) ( x - 5 )
→ Solve
x = -4 , 5
→ Discard negative result
x = 5
Answer:
(Choice A) 5M
Step-by-step explanation:
Let total no. of e-mails in inbox be x
Since she read 80 % of mails i.e 80 % of x
⇒
⇒
⇒
So, she read 0.8x e-mails.
So, remaining email = total e-mails - read e-mails

Since we are given that Danette still has M unread e-mails.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Thus the expression represent the number of e-mails Danette had in her inbox before she started reading is 5M.
Hence Choice A is correct.