It will take 54 days for Teri's account to earn an amount of $5000.
<h3>What is compound interest?</h3>
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest. In finance and economics, compound interest is common.
It is given by formula
A = 
where:
A is final amount
p is principal amount
r is rate of interest and
t, is time period
Given: A= $5000, p=$1500, r=2.25% = 0.0225
To find: time period to get compounded amount
5000=1500×
= 
0.0225t = ㏑ ()
t = 53.5099 ≈ 54 days
Learn more about compound interest here:
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To find the rate add 1 to the annual rate divided by 365 days raised to the number of days left in the year minus 1.
r= (1 + 0.2319/365)^305 - 1
r = 0.2138
Now multiply by 100 for the percent:
0.2138 x 100 = 21.38%
Answer: 6872
Step-by-step explanation:
8 x 859 = 6872
Answer:
My age is 12 years.
Step-by-step explanation:
Given:
Sister's age = 10 years
Let my age be x.
Now according to question;
my brother's age is 1/3 of my age
So brother's age = 
Also according to question;
my sister is 6 years older than my brother;
Sister's age = 
Also given Sister's age = 10 years
hence equation to find my age will be expressed as below;
Brothers age = 
Hence my age is 12 years.
Answer:
The first option will take a total of 3.2 hours while the second option will take just 3 hours
This shows that the second option is faster
Step-by-step explanation:
Here, we want to compare two hiking options and see the one which is faster.
At any point in time;
Distance = speed * time
In the first option, he could hike at 3 mph for two hours.
Total distance covered would be 3 * 2 = 6 miles
Distance left = 12 miles - 6 miles = 6 miles
Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours
Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours
For the second option;
Time = distance/speed = 12 miles/4 mph = 3 hours
We can see that the second option is faster
