Answer:
Step-by-step explanation:
Since we are talking about compounded annual interest, we can use the Exponential Growth Formula to calculate the answer for this question.
Where:
- y is the total amount after a given time
- a is the initial amount
- r is the interest rate in decimal form
- t is the amount of time
First we need to calculate the total after 2 years with a 9% interest.
So after 2 years there will be £1,188.10 in the account. Now we can add £3000 to that and use the new value as the initial amount, and calculate the new total in 5 years.
So now we can subtract the £4000 purchase from the amount currently in the account, and calculate one more year of interest with the new initial amount.
So at the end you would have £2,662.86 in the account one year after the purchase.
This equation is written in point-slope form.
In this equation we have the point (2, 12) and the slope of 4.
Slope-intercept form: y = mx + b
m = slope
b = y-intercept
Use the point (2, 12) to solve.
12 = 4(2) + b
12 = 8 + b
12 - 8 = 8 + b - 8
4 = b (y-intercept)
Hope This Helped! Good Luck!
Answer:
mean and range
arrangement before: 24,25,25,26,27
arrangement after: 24,25,25,25,26,27,28
mean before: (27+25+24+26+25)/5 = 25.4
mean after: (27+25+24+26+25+25+28))/5 = 25.7
median before: 25
median after: 25
mode before: 25
mode after: 25
range before: 24 to 27
range after: 24 to 28
hence, the mean and range were affected while the median and mode remained unchanged.
Answer:
84*(1/4)^x
Step-by-step explanation:
84 is the constant as it is the starting amount. However each round (x because the amount of rounds is constantly changing) divides the team by 4 or multiplies by 1/4 (Reciprocal).
So, if you wanted to see if the amount of teams after three rounds you would do:
84 * 1/4 * 1/4 * 1/4. However, any number times itself is an exponent, so we would simplify to 84³. But due to the fact we do not know how many rounds we are going to calculate we change the exponent to x.