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ra1l [238]
3 years ago
5

29

Mathematics
1 answer:
kramer3 years ago
4 0

Answer: C (1.25, 10.25)

Step-by-step explanation:

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What are the new coordinates of X if X was rotated 180 degree ? (the center of rotation is the origin)
Aleksandr [31]

Answer:

-X

Step-by-step explanation:

6 0
3 years ago
Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val
Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

A(t) = Pe^{rt}

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that P = 330

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

A(t) = Pe^{rt}

590 = 330e^{8r}

e^{8r} = \frac{590}{330}

e^{8r} = 1.79

Applying ln to both sides:

\ln{e^{8r}} = \ln{1.79}

8r = \ln{1.79}

r = \frac{\ln{1.79}}{8}

r = 0.0726

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

A(t) = 330e^{0.0726t}

A(10) = 330e^{0.0726*10} = 682

The value of the account in the year 2009 will be $682.

4 0
3 years ago
Write the equation of the line parallel to 5x + y = -2 that goes through the point (2, -3).​
gladu [14]

Answer:

y = -5x + 7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

5x + y = -2

Random point (2, -3)

Step 2: Rewrite

y = -5x - 2

m = -5

Step 3: Write parallel line

y = -5x + b

-3 = -5(2) + b

-3 = -10 + b

7 = b

y = -5x + 7

8 0
2 years ago
Write a decimal where the value of a digit is one tenth as much as a digit in another place
uysha [10]
Jabshudoa wvduoslabdu9sbwbd
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3 years ago
Christian was 145 cm tall when he was 12 years old. And 3 years later, he became 168.2 cm tall. By what percent did Christian's
Sav [38]

Answer: 16%

Step-by-step explanation:

168.2 - 145 = 23.2

23.2/145 = 0.16

0.16 as a percent is 16%

6 0
3 years ago
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