Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

keanu saves the rest of his money each week. he decides to separate the…

Question

keanu saves the rest of his money each week. he decides to separate them into...
will put money away for a holiday and a car in the ratio of \\(4:6\\).

calculate how much goes into each of his saving accounts each week.

keanus kuia in australia sends him a gift of \\$500\text{ aud} to help towards the car. the bank converts the currency using an exchange rate of \\(1\text{ nzd} = 0.93\text{ aud}\\). however, the bank also charges a \\(3.7\\%\\) conversion fee on the final nzd amount received.

calculate how much he receives in nzd.

after months of saving, keanu ends up with \\$4,500 in his car savings account. he decides to move this into a high-yield term deposit and has two different options:

option 1: an account that earns \\(8\\%\\) compound interest per annum for two years.
option 2: an account that earns \\(0.7\\%\\) simple interest per month for two years.

calculate which option provides the most interest.

Explanation:

Convert AUD to NZD

$$ LATEXBLOCK0 $$

Calculate Option 1 Interest

$$ LATEXBLOCK1 $$

Calculate Option 2 Interest

$$ LATEXBLOCK2 $$

Answer:

Question 1

Keanu receives <blank>\(517.74\)</blank> NZD.

Question 2

The option that provides the most interest is <blank>Option 2</blank>.