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Vlad [161]
3 years ago
5

What is the equation of the line that is parallel to the line y=3x-11 and

Mathematics
1 answer:
LiRa [457]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5%
vladimir1956 [14]

Complete Question

If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years

Answer:

$ 12,934.61

Step-by-step explanation:

The formula for Compound Interest Compounded continuously is given as:

A = Pe^rt

A = Amount after t years

r = Interest rate = 2.5%

t = Time after t years = 3

P = Principal = Initial amount invested = $12,000

First, convert R percent to r a decimal

r = R/100

r = 2.5%/100

r = 0.025 per year,

Then, solve our equation for A

A = Pe^rt

A = 12,000 × e^(0.025 × 3)

A = $ 12,934.61

The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.

7 0
3 years ago
Pls Help! John wants to prove ABC = to DEF. He Knoes AB = DE and AC = DF. With Screenshot
matrenka [14]

Answer:

\angle A \cong \angle D

Step-by-step explanation:

The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.

Thus, since John already knows that \overline{AB} \cong \overline{DE} and \overline{AC} \cong \overline{DF}, therefore, an additional information showing that the angle between \overline{AB} and \overline{DE} in ∆ABC is congruent to the angle between \overline{AC} and \overline{DF} in ∆DEF.

For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be \angle A \cong \angle D.

See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.

7 0
3 years ago
David had a bunch of grapes for his snack . If he at 0.1 of a pound every hour , how many pounds did he eat in a 4.4 hours ?
olga_2 [115]
0.44 lbs. 
Is likely your answer
8 0
3 years ago
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What is 2 equivalent ratios for 7 to 11
Strike441 [17]

Pick any number.  Multiply the 7 and the 11 both by it,
and you'll have an equivalent ratio.

Examples:

(by 2) . . . 14 to 22

(by 6) . . . 42 to 66

(by 10). . . 70 to 110

(by a million) . . . 7 million  to  11 million


7 0
4 years ago
Which table shows a constant rate of change?
Dafna1 [17]

Answer:

B. 2nd Table

Step-by-step explanation:

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4 years ago
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