Eighteen months ago, Amy deposited RM 3,000 in a saving account earning 5% interest compounded semi-annually. At the same time, she deposited RM 150 at the end of every month in another account earning 3% interest compounded monthly. Today, she intends to withdraw all her money from both account to pay part of the 10% down payment for a new car. The cash price of the car is RM 80,000. a. How much is the total withdrawal from both account.

b. Amy plans to take up a loan from a finance company to finance the 90% balance of the car price. The finance company charges interest at 4.5% compounded monthly and the loan is payable in 8 years. How much will the monthly payments be?​

Aparallel system functions whenever at least one of its components works. consider a parallel system of n components, and suppose each component works independently with probability 0.5. find the conditional probability that component n works given that the system is working

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

45% of the trees in a park are apple trees. there are 27 apple trees in the park. how many trees are in the park in all?