A bank account that earns 1% interest each month has a balance of $1,500. Any interest is deposited into the account, and no further deposits or withdrawals are made. Noah thinks that after two months the balance will be $1,530 because 2% of 1,500 is 30.Do you agree with Noah? Explain your reasoning. *

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  no; additional interest is earned on the first month's interest

Step-by-step explanation:

Even if we assume that the monthly interest rate is 1% (and that 1% is not the annual rate), the interest from the first month is deposited in the account. That means the interest for the second month is computed on the increased balance, not the original balance.

The balance after 2 months will be ...

  $1500·(1.01^2) = $1530.15 . . . . assuming a 12% annual rate of interest

This is $0.15 more than Noah thinks it will be. We do not agree with Noah.

1. minimum

2. 6400

3. eight

hope this !

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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