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notka56 [123]
3 years ago
14

Bank A is lending money at 6.4% interest compounded annually. The rate at Bank B is 6.3% compounded monthly, and the rate at Ban

k C is 6.35% compounded daily. Determine the amount of interest you would earn at each bank if you invest $1500 for 12 months.Which bank will you pay the least amount?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

Answer:

$1596

$1597.28

$1598.33

bank A

Step-by-step explanation:

The formula for calculating compound interest:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

Bank A = $1500(1.064) = $1596

Bank B = $1500( 1 + 0.063/12)^12 = 1597.28

Bank C = $1500( 1 + 0.0635/365)^365 = $1598.33

Bank A pays the least amount of interest

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3 years ago
Calculate the variance and the standard deviation of the data below 23. 19, 22, 30, 28
Alina [70]

To get the variance, start with finding the mean of your data points:

(23 + 19 + 22 + 30 + 28) / 5 = 24.4

Now take each data point and subtract the mean from it, then square that value:

23 - 24.4 = -1.4 * -1.4 = 1.96

19 - 24.4 = -5.4 * -5.4 = 29.16

22 - 24.4 = -2.4 * -2.4 = 5.76

30 - 24.4 = 5.6 * 5.6 = 31.36

28 - 24.4 = 3.6 * 3.6 = 12.96

Now get the average of those new numbers. That is your variance:

(1.96 + 29.16 + 5.76 + 31.36 + 12.96) / 5 = 16.24

The standard deviation will be the square root of the variance:

√(16.24) = 4.0299 (rounded to 4DP)

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3 years ago
A bank offers a 3% annual interest rate for a savings account. Hannah puts $6,000 into an account to save for college. How much
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4 years ago
Alexander has nickels, dimes, and quarters in the ratio of 2:1:8, if 40 of Alexander's coins are quarters, how many nickels and
ch4aika [34]

Answer:

He has 10 nickels and 5 dimes

Step-by-step explanation:

We can take advantage of the ratio by dividing 40 by 8, giving us that every 1 in the ratio = 5. So we can multiply 2 x 5 = 10 and 1 x 5 = 5.

Hope this Helps!

4 0
3 years ago
Find the value of each trigonometric ratio.<br> A. 37/35<br> B. 12/37<br> C. 12/35<br> D. 37/12
Veronika [31]

Answer:

C. 12/35

General Formulas and Concepts:

<u>Trigonometry</u>

  • tan∅ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Define</u>

Find: tanZ

<em>We are looking at angle Z</em>.

Opposite: 12

Adjacent: 35

<u>Step 2: Find ratio</u>

  1. Substitute:                    tanZ = 12/35

And we have our final answer!

3 0
3 years ago
Read 2 more answers
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