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White raven [17]
3 years ago
15

A carton of large eggs way about 1.5 pounds. If a carton holds a dozen eggs, how many pounds does each egg weigh

Mathematics
1 answer:
nata0808 [166]3 years ago
3 0
0.125 or 1/8 of a pound is your answer
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Whitney deposits $9,000 for two years. She compares two different banks. State Banks will pay her 4.1% interest, compounded mont
dlinn [17]

Answer:

1)state bank

2)$16.21

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

Whitney deposits $9,000 for two years. She compares two different banks. State Banks will pay her 4.1% interest, compounded monthly. Kings Savings will pay her 4.01% interest, compounded continuously.Which bank pays higher interest? How much higher?

The Amount in the formula for compound interest is

A= P(1+r)^2

P = principal amount,

r = rate per periods,

t = number of periods,

To know the interest she got from the State bank, we say

P = $ 9000, r = 4.1% = 0.041, t = 2 years,

A= 9000(1+0.041)^2

A= 9000(1.041)^2

= 9767.74

Then interest earned = A - P

= 9767.74 - 9000

= $ 767.74

To know the interest she got from the State bank, we say

P = $ 9000, r = 4.01% = 0.0401, t = 2 years,

A= 9000(1+0.0401)^2

A= 9000(1.0401)^2

= 9751.53

Then interest earned = A - P

= 9767.74 - 9000

= $ 751.53

The difference between the two interest is ($ 767.74 - $ 751.53)

=$16.21

Hence state bank will have $16.21 higher interest

3 0
2 years ago
If you've driven at a consistent speed of 60 mph how much would you have traveled in 2 hours?
charle [14.2K]

Answer:

120 Miles

Step-by-step explanation:

60 miles x 2 hours = 120 miles

6 0
3 years ago
Read 2 more answers
Find the third order maclaurin polynomial. Use it to estimate the value of sqrt1.3
vodka [1.7K]

\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3} is the maclaurin polynomial and estimate value of \sqrt{1.3} is 1.14. This can be obtained by using the formula to find the maclaurin polynomial.

<h3>Find the third order maclaurin polynomial:</h3>

Given the polynomial,

f(x)=\sqrt{1+3x}=(1+3x)^{\frac{1}{2} }

The formula to find the maclaurin polynomial,

f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} + \frac{f'''(0)}{3!}x^{3}

Next we have to find f'(x), f''(x) and f'''(x),

  • f'(x) = \frac{3}{2}(1+3x)^{-\frac{1}{2} }
  • f''(x) =-\frac{9}{4}(1+3x)^{-\frac{3}{2} }
  • f'''(x) = \frac{81}{8}(1+3x)^{-\frac{5}{2} }

By putting x = 0 , we get,

  • f(0)=(1+3(0))^{\frac{1}{2} }=1
  • f'(0) = \frac{3}{2}(1+3(0))^{-\frac{1}{2} }=\frac{3}{2}
  • f''(0) =-\frac{9}{4}(1+3(0))^{-\frac{3}{2} }=-\frac{9}{4}
  • f'''(0) = \frac{81}{8}(1+3(0))^{-\frac{5}{2} }=\frac{81}{8}

Therefore the maclaurin polynomial by using the formula will be,

\sqrt{1+3x}=f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} + \frac{f'''(0)}{3!}x^{3}

\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3}

To find the value of \sqrt{1.3}  we can use the maclaurin polynomial,

\sqrt{1.3} is  \sqrt{1+3x} with x = 1/10,

\sqrt{1+3(1/10)}=1+\frac{3}{2} (1/10)-\frac{9}{8} (1/10)^{2} + \frac{81}{8}(1/10)^{3}

\sqrt{1+3(1/10)}=\frac{18247}{16000} = 1.14

Hence \sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3} is the maclaurin polynomial and estimate value of \sqrt{1.3} is 1.14.

Learn more about maclaurin polynomial here:

brainly.com/question/24188694

#SPJ1

6 0
1 year ago
Read 2 more answers
point s has coordinates 2,5 if you rotate point s 90 degrees about the origin 0,0 what are the coordinates of s
Volgvan
The answer is 2,-5 you put the points are in the same spot just rotated
8 0
3 years ago
The sum of 2 numbers is 100. Twice the first number plus twice the second number is 200. What are the numbers?
dlinn [17]

Answer:

50+50=100

100+100=200

Step-by-step explanation:

The sum of 2 numbers is 100. 50 x 2 = 100

Twice the first number plus twice the second number is 200.

50+50=100 so therfore 100+100 makes 200

6 0
3 years ago
Read 2 more answers
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