The annual interest is
___%, and the bank compounds the interest_____
The balance of the account will
grow____
The annual interest rate is 6.5%, and the bank compounds the interest annually. The balance of the account will grow exponentially over time.
The given function y = 1.065(4) represents the growth of capital in a bank account, where the initial balance is 4 and the growth rate is 6.5% per year. To calculate the annual interest rate, we can use the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.
In this case, the final amount after one year is 4 * 1.065 = 4.26. Substituting the values in the formula, we get 4.26 = 4(1 + r/1)^(1), which simplifies to 1 + r = 1.065. Solving for r, we get r = 0.065 or 6.5%.
The bank compounds the interest annually, which means that the interest is added to the account balance at the end of each year. As the balance grows, the interest earned in the subsequent years will be higher. This results in exponential growth of the account balance over time. After n years, the account balance will be B = P(1 + r)^n, where P is the initial balance, r is the annual interest rate, and n is the number of years.
For example, after 5 years, the account balance will be B = 4(1 + 0.065)^5 = 5.39. After 10 years, the account balance will be B = 4(1 + 0.065)^10 = 7.27. As we can see, the account balance grows significantly over time due to the effect of compounding interest.
Learn more about interest rate here
#SPJ11
b.196 m3
c. 70 m3
d.392 m3
20.4 is 120 percent (120%) of 17.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred.
So, in order to find the percent of a number we need to multiply it by the percent value and then divide it by hundred. That means if we need to find the x% of a number, we should multiply the number with x/100.
So,
17 × x/100 = 20.4
17x = 20.4 ×100
17x = 2040
Therefore,
x = 2040/17
x = 120
To learn more about percent, click:
#SPJ6
Answer:
2+32×5
If you want the answer:
2+160
162
Step-by-step explanation:
Answer:
2+5^32
Step-by-step explanation:
Answer:
Step-by-step explanation:
hello
the speed is the relation between a distance traveled and the time used for it and it is given by the equation
Now, the average speed will be
Step 1
I drive 6.0 km at 50 km/h
from (1) it is possible to isolate t
Let
Step 2
then I drive 6.0 km at 90 km/h
Step 3
FInd total time and total displacement
step 4
finally, put these values into the equation(2)
V=64.29 km/h
Have a good day
Answer:
64.2857 km/h
Step-by-step explanation:
Time taken to drive the first 6.0 km in hours = 6/50
Time take to drive another 6.0 km in hours = 6/90
Total time taken to drive 12 km in hours = (6/50) + (6/90)
= 6(50+90)/50x90
= 6x140/50x90
= 840/4500
The average speed over the 12 km is therefore 12 divided by 840/4500
= (12 x4500)/840
= 64.2857 km/h
Answer:
The slope is
Step-by-step explanation:
The picture of the question in the attached figure
Let
x ----> the number of days
y ---> the number of tickets sold
we have the points
(1,30) and (7,55)
The formula to calculate the slope between two points is equal to
substitute the given values in the formula