Ellen has recently inherited $5400, which she wants to deposit into a cd account. she has determined that her two best bets are an account that
compounds semi-annually at an annual rate of 4.1 % (account 1) and an account that compounds quarterly at an annual rate of 5.3%. which account would pay ellen more interest?

Interest for case 2 is more i.e at interest rate 5.3% compounded quarterly

Step-by-step explanation:

Data provided in the question:

Principle amount = $5400

let us calculate the interest for t = 1 year

Case 1:

Rate of interest, r = 4.1%

Compounded semi-annually i.e number of periods, n = 2

Therefore,

Interest = Principle × - Principle

on substituting the respective values, we get

Interest = $5400 × - $5400

or

Interest = $5400 × 1.0205² - $5400

or

Interest = $5623.67 - $5400

= $223.67

Case 2:

Rate of interest, r = 5.3% = 0.053

Compounded quarterly i.e number of periods, n = 4

Therefore,

Interest = Principle × - Principle

on substituting the respective values, we get

Interest = $5400 × - $5400

or

Interest = $5400 × 1.01325⁴ - $5400

or

Interest = $5691.94 - $5400

= $291.94

Hence,

interest for case 2 is more i.e at interest rate 5.3% compounded quarterly

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.

~

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?