2. $6000 is divided between two accounts, one paying 4% interest and the other paying 5% interest. at the end of one interest period, the interest earned by the 4% account exceeds the interest earned by the 3% account by $65. how much was invested in each account?

The correct answer is:

- Account “A”: $3500

- Account “B”: $2500

Step-by-step explanation:

* As the main account is split in two:

- Account “A”: n

- Account “B”: $6000-n

* Let’s consider Account “A” will be applied 4% interest and Account “B” will be applied 3% interest.

* In the problem, the Simple Interest Rate is used:

Simple Interest Formula = Principal x Interest Rate x Time Period

* According to the problem, at the end of 1 interest period, applying the Simple Interest Formula:

- Account “A”: 4n/100

- Account “B”: (3($6000-n))/100 + $65

- Solving the equation:

4n/100=   3($6000-n)/100  + $65  

4n/100=$18000/100-  3n/100+$65

7n/100=$180+$65  

7n=$245 x 100

n=$3500

→ Account “A”: $3500

→ Account “B”: $6000-$3500 = $2500

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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14.29%

step-by-step explanation: