Answer:
Ben must wait more than 4.2 years
Step-by-step explanation:
step 1
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute the values
Solve for t
Divide by 1,200 both sides
Subtract 1 both sides
Divide by 0.06 both sides
therefore
Ben must wait more than 4.2 years
The answer is 90 because it’s closest to
90
Answer:
<h2>158,400 m. or 158.4 km.</h2>
Step-by-step explanation:
<u>distance = velocity x time</u>
where: time = 2 hrs. x 3600 sec / 1 hr
= 7200 secs
velocity = 22 m/s
plugin values into the formula:
distance = 22 m/s x 7200 sec.
= 158,400 m. or 158.4 km
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..