Answer:
Step-by-step explanation:
f(1)=2^1+3=2+3=5
f(5)=2^5+3=32+3=35
![rate ~of~change=\frac{f(5)-f(1)}{5-1} =\frac{35-5}{5-1} =\frac{30}{4} =7.5](https://tex.z-dn.net/?f=rate%20~of~change%3D%5Cfrac%7Bf%285%29-f%281%29%7D%7B5-1%7D%20%3D%5Cfrac%7B35-5%7D%7B5-1%7D%20%3D%5Cfrac%7B30%7D%7B4%7D%20%3D7.5)
The answer for 1 is 20 liters of yellow paint and the answer for 3 is 12.75 liters of blue paint
<h2>○=> <u>Correct answer</u> :</h2>
Money in Alex's account after 16 years = ![\boxed{\bold{\color{plum}£4347.11}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7B%5Ccolor%7Bplum%7D%C2%A34347.11%7D%7D)
<h3>○=> <u>Steps to derive correct answer</u> :</h3>
Money invested by Alex = £3045
Percentage of compound interest per annum = 2.25%
We know that :
![\tt \: \color{hotpink}A \color{plum} = P {(1 + \frac{r}{n} )}^{nt}](https://tex.z-dn.net/?f=%5Ctt%20%5C%3A%20%5Ccolor%7Bhotpink%7DA%20%5Ccolor%7Bplum%7D%20%3D%20P%20%7B%281%20%2B%20%20%5Cfrac%7Br%7D%7Bn%7D%20%29%7D%5E%7Bnt%7D%20)
In this case :
Principal = £3045
Rate = 2.25% = 0.0025
Number of times interest is compounded per year = 1
Time = 16 years
Which means :
Money Alex will have in the account after 16 years :
![= \tt3045 ({1 + \frac{ 0.0025}{1} })^{16}](https://tex.z-dn.net/?f=%20%3D%20%5Ctt3045%20%28%7B1%20%2B%20%5Cfrac%7B%200.0025%7D%7B1%7D%20%7D%29%5E%7B16%7D%20)
![\color{plum}= \tt £4347.11](https://tex.z-dn.net/?f=%20%5Ccolor%7Bplum%7D%3D%20%5Ctt%20%20%C2%A34347.11)
Therefore, the money in Alex's account after 16 years = £4347.11
Answer: <u>5.20833333 , SUB TO MY YT Tae Combos</u>
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Step-by-step explanation: