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777dan777 [17]
3 years ago
14

The temperature at 5 PM was -4 degrees. By 5 AM the temperature had decreased 8 degrees. What was the temperature at 5 AM?

Mathematics
1 answer:
tester [92]3 years ago
7 0

Answer:

-12

Step-by-step explanation:

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There would be 0 i think
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Sebastian invested $7,100 in an account paying an interest rate of 8 1 4 \% compounded monthly. Eva invested $7,100 in an accoun
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Answer:

Given:

Sebastian :

Principal(invested)= $7,100

Rate of interest=  8.14% compounded monthly

Eva:

Principal(invested)= $7,100

Rate of interest= 8.12% compounded continuously

Step-by-step explanation:

After 5 years,

In Sebastian case:

Amount= Principal*(1+R/100)^{t}

Amount = 7100*(1+8.14/100)^{12*5}

Amount= 7100*1.0814^{60}

Amount=7100*109.4415

Amount= $777,034.43

In Eva case,

Amount= Principal*e^{Rt/100}

Amount = 7100*e^{0.0812*12*5\\}

Amount= 7100*130.5818

Amount= $927,130.92

Difference between their money=$927,130.92-777034.43

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Eva has $150,096 more money than Sebastian.

7 0
3 years ago
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Two lines L1 and L2 pass through the point of intersection of 2y=x-13 and 3y+x+12=0. L1 passes through P(-4,-7) and L2 is perpen
alexgriva [62]

Answer:

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Step-by-step explanation:

1. <u>point of intersection of 2y=x-13 and 3y+x+12=0</u>

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x = 2*(-5) +13 = 3

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slope of L1 = (-7 - -5)/(-4-3) = -2 / -7 = 2/7

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angle Θ between two slopes: tan Θ = | (m2-m1) / (1 + m1*m2)|

==> = | (-5/2 - 2/7) / (1 + -5/2*2/7) | = |(-39/14) / (4/14) | = |- 39/4| = 39/4 = 9.75

Θ = 84°

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