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Lorico [155]
2 years ago
10

D=(107-115)^2+(-49+-69)^2​

Mathematics
1 answer:
ladessa [460]2 years ago
6 0

Answer:

d=13988 or d=1.3988 x 10^4

Step-by-step explanation:

d=(-8)^2+(-118)^2

d=64+13924

d=13988

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76. Currently, your savings for each month is capped at $400. If you start investing all of this into a savings plan earning 1%
Alexxandr [17]

Answer:

10 years and 10 months.

Step-by-step explanation:

The annually interest rate (ia) can be converted by monthly (im) by the equation:

(1 + im)¹² = 1 + ia

(1 + im)¹² = 1 +0.01

(1 + im)¹² = 1.001 (putting ln in both sides)

ln(1 + im)¹² = ln1.001

12*ln(1 + im) = 1.0x10⁻³

ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)

e^{ln(1 + im)} = e^{8.33x10^{-5}}

1 + im = 1.00083

im = 0.00083 = 0.083%

For a investimenting, the final amount (A) can be calculated by:

A = R*(\frac{(1+i)^n-1}{i} )

Where R is the amount invested per month, i is the interest, and n the number of months:

160000 = 400 *\frac{(1 +0.00083)^n - 1}{0.00083}

\frac{(1 +0.00083)^n - 1}{0.00083} = 400

1.00083ⁿ - 1 = 0.332

1.00083ⁿ = 1.332 (applying ln in both sides)

n*ln1.00083 = ln1.332

8.3x10⁻⁴n = 0.2867

n = 345.4 months

345.4 months *1 yea12 months = 10 years and 10 months.

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loris [4]

Answer:

35

Step-by-step explanation:

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Hence, 3x - 5 = 4x - 30

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Answer:

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Juan made walking dogs for the last 5 weeks: $12,$26, $13,$10, $16, . Calculate the Mean, mode, median and range of this dataset
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Step-by-step explanation:

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