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ki77a [65]
3 years ago
15

How many years will it take for $4,000 to double at a simple interest rate of 5%?​ Show your work.

Mathematics
1 answer:
natita [175]3 years ago
3 0

Answer: in explination

Step-by-step explanation:

annual interest = .05(4000) = 200  

to double, you need another $4000  

number of years = 4000/200 = 20  

annual interest = .05(4000) = 200  

to double, you need another $4000  

number of years = 4000/200 = 20  

it will take 20 years  

to check if you are right you would...

Check:

simple interest on $4000 for 20 years at 5%  

= .05(20)(4000) = 4000  

the amount = what we had + new amount  

= 4000 + 4000 = 8000 which is double what we started with  

So the answer would be it took 20 years.

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350/1.25 = 280 sq feet per hr
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3 years ago
Reflect AB over the x-axis and rotate 90° counterclockwise about the origin.​
Zepler [3.9K]

Answer:

O A"(3, -5) B"(1, -3)

Step-by-step explanation:

Hope it helps.

6 0
2 years ago
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Write in vertex form (by completing the square)y=4x2+40x+96
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y=4x^2+40x+96\\ \\ The \ vertex \ form \ of \ the \ function \ is: \\ \\y = a(x - h)^2 + k \\ \\vertex =(h, k) \ is \ given \ by: \\ \\h = \frac{-b}{2a} , \ \ \ k = c -\frac{b^2}{4a} \\ \\a=4 , \ \ b=40 , \ \ c=96

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6 0
3 years ago
Can u guys PLEASE answer this question ASAP. A fat cat that was initially 12 kg reduces its weight by 10% each month. How long d
Mkey [24]

Answer:

It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.

Step-by-step explanation:

Use exponential decay formula:

A = P (1-r)t

A = amount decreased to

P = original amount

r = rate of decrease

t = time

 

6 ≥ 12 (1-0.10)t      divide both sides by 12

0.5 ≥ (0.9)t            take log of both sides

log (0.5) ≥ log (0.9)t     power rule of logs lets the exponent t drop to front of log to become a factor

log (0.5) ≥ t log(0.9)     divide both sides by log(0.9) which is negative so reverse the inequality sign

log (0.5) / log (0.9) ≤ t     use calculator

6.57 ≤ t

 

It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.

 

check:

12 (0.9)7≈ 5.73

12 (0.9)6 ≈ 6.37

5 0
2 years ago
Can someone help me please.
Alekssandra [29.7K]

Answer:

it is 1 half

Step-by-step explanation:

becaise if you see 1 loaf of bread need 1 half

5 0
3 years ago
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