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Free_Kalibri [48]
3 years ago
6

Is 1.76 a rational number ?

Mathematics
1 answer:
inna [77]3 years ago
6 0
Yes....a rational number can be turned into a fraction
1.76 = 176/100
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1. Michael invests $2000 in an annuity that offers an interest rate of 4% compounded quarterly for 5 years. What is the value of
Amanda [17]
1. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

Where:

A = the future value = ?
P = the principal investment amount = $2000
r = interest rate = 4%
n = the number of times that interest is compounded per year = 4
x = the number of years = 5

Calculations:

A = 2000 (1 + 0.04/4)²⁰

A = 2000 (1 + 0.01)²⁰

A = 2000 (1.01)²⁰

A = 2000 ₓ 1.22

A = $2440.38 


2. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

Where:

A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 48%
n = the number of times that interest is compounded per year = 12
x = the number of years = 2

Calculations:

A = 50 (1 + 0.48/12)²⁴

A = 50 (1 + 0.04)²⁴

A = 50 (1.04)²⁴

A = 50 ₓ 2.56

A = $128.16


3. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

Where:

A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 4%
n = the number of times that interest is compounded per year = 12
x = the number of years = 3

Calculations:

A = 50 (1 + 0.04/12)³⁶

A = 50 (1 + 0.003)³⁶

A = 50 (1.003)³⁶

A = 50 ₓ 1.12

A = $56.36

8 0
3 years ago
Read 2 more answers
Finally my last one :( Picture is attached below PLEASE HELP :(
Katena32 [7]

Answer:

option D is the right answer

3 0
3 years ago
Find the complete factored form of the polynomial 9ab^5+6a^3b^4
notsponge [240]
9ab^5+6a^3b^4 

GCF=3ab^4 

3ab^4( \dfrac{9ab^5}{3ab^4} +  \dfrac{6a^3b^}{3ab^4} ) 

3ab^4(3b+2a^2)
6 0
3 years ago
A dilation produces a smaller figure. Which is a possible scale factor? –2 One-third 1 4
Ghella [55]

Answer:

1/3 (one-third)

Step-by-step explanation:

A scale factor that produces an image <u>smaller</u> than the original figure is <u>less</u> than 1. A scale factor that produces an image <u>bigger</u> than the original figure is <u>more</u> than 1.

Thus, the only option that's less than 1 is one-third.

4 0
2 years ago
What is the effective interest rate of an 8% 13-week Treasury bill? Assume it is a $10,000 Treasury bill, and round your answer
Dmitry_Shevchenko [17]

Answer:

The answer is 8.24%.

Step-by-step explanation:

The rate r = 8% is for 1 year or 52 weeks.

As given there are 13 weeks term so total there will be = 4 terms.

So, n = 4

The effective interest rate R is given by:

R = (1+r/n)^n-1

= (1+0.08/4)^4-1

= (1.02)^4-1

= 0.0824

And in percentage, it is 8.24%.

8 0
3 years ago
Read 2 more answers
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