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Lynna [10]
4 years ago
5

To solve 35-19,jack used 35-20.what did he do next?

Mathematics
1 answer:
kondaur [170]4 years ago
3 0
Jack used 35-20 to quickly get 15 and then all he would have to do was add 1 to get the answer.
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I need help!
Bezzdna [24]
<h3>Answer:  23 years</h3>

=======================================================

Work Shown:

P = 1000 is the amount deposited

We want this value to double to A = 2000 which is the amount in the account at time t (in years).

r = 0.03 represents the interest rate in decimal form.

The value of t is unknown but we can solve for it like so

A = Pe^{rt}\\\\2000 = 1000e^{0.03t}\\\\2 = e^{0.03t}\\\\\ln(2) = \ln\left(e^{0.03t}\right)\\\\\ln(2) = 0.03t\ln\left(e\right)\\\\\ln(2) = 0.03t*1\\\\\ln(2) = 0.03t\\\\

0.03t = \ln(2)\\\\t = \frac{\ln(2)}{0.03}\\\\t \approx 23.1049060186649\\\\t \approx 23\\\\

It will take about 23 years for the amount to double.

As a check,

A = 1000e^{0.03t}\\\\A \approx 1000e^{0.03*23.104906}\\\\A \approx 1,999.9999988806\\\\A \approx 2000\\\\

which helps show that after roughly 23 years, we'll have about 2000 dollars in the account.

------------

Side note: Use of the rule of 72 leads to 72/3 = 24. The '3' is from the 3% interest rate. So the rule of 72 says it will take about 24 years for the amount to double. This isn't too far off from the 23 answer we got.

5 0
3 years ago
How many 1/360 turns would it take to make a full turn around the circle
emmainna [20.7K]

Answer:

360 turns

Step-by-step explanation:

8 0
3 years ago
Please help me find the value of x
Marianna [84]

Answer:

x = 36 degrees

Step-by-step explanation:

We can use exterior angles theorem to find that 140 degrees is equal to x plus 104 degrees. We subtract 104 degrees on both sides and get that x is 36 degrees.

7 0
3 years ago
Use elimination to solve the system of equations 9x-2y=30 and x-2y=14
VashaNatasha [74]

Answer:

Step-by-step explanation:

9x - 2y = 30

x - 2y = 14

9x - 2y = 30

-x  + 2y = -14

8x = 16

x = 2

2 - 2y = 14

-2y = 12

y = -6

(2, -6)

4 0
3 years ago
I need help on how to do combinations
Veronika [31]
Ok sure! Let's start with the marbles first. We have one red one blue and one green. There is a red and a blue cube. All we do is list the possible combinations of one marble and one cube. The answer would be : 1 blue marble, 1 blue cube. 1 red marble, 1 blue cube. 1 green marble, 1 blue cube. Then again but with the red cube. So in all, there are 6 possible combinations. Hope this helps. ☺️
3 0
3 years ago
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