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alekssr [168]
3 years ago
9

I need the answer, please help :)

Mathematics
2 answers:
erastova [34]3 years ago
5 0
Hey, i’m totally down to help you!! but the picture is black :(
bixtya [17]3 years ago
3 0
We can’t see the picture sorry
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Type the correct answer in the box. Round your answer to the hundredth.
sesenic [268]

Answer:

Approximately 22.97 years

Step-by-step explanation:

Use the equation for continuously compounded interest, which uses the exponential base "e":

A=P e^{k*t}

Where P is the principal (initial amount of the deposit - unknown in our case)

A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)

k is the interest rate : 5% which translates into 0.05

and t is the time in the savings account to triple its value (what we need to find)

The formula becomes:

3P = P e^{0.05 * t}

To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:

\frac{3P}{P} = \frac{P}{P}  e^{0.05 * t}

3 = e^{0.05 * t}

ln(3) = 0.05 * t

t = \frac{ln(3)}{0.05} = 21.972245... years

6 0
3 years ago
What is a like term for 6x
Helen [10]

Answer:

ANY NUMBER THAT HAS A X BEHIND IT..

Examples

1x

7x

15803x

104762836297x

8 0
3 years ago
A triangle has an area of 160 square inches. If it has a height of 10 inches, what is its base length?
inn [45]

Answer:

The answer is:

32 inches

Step-by-step explanation:

The reason to why is because a triangle's area is always length times height divided by 2. In this case we need to reverse the steps and multiply 160 by 2 to get 320. Then divide the area of 320 by 10 to get 32 inches to be the base length.

Hope you have a wonderful day :)

6 0
4 years ago
( PLEASE HELP )Use the table to write a proportion .
Margaret [11]
8/6 and then m/16 is the correct answer
7 0
3 years ago
Blakes goes from averaging 8 hours of sleep for a school night to averaging 6.5 hours of sleep on the weekend. What is the perce
beks73 [17]

Answer:

Step-by-step explanation:

So Blakes sleep 8 hours per night during the school day

8 hours/night...................................100%

6.5 hours/night...................................?

6.5*100/8=81.25

the change in percentage is 100-81.25=18.75%

the percentage change is 18.75

if it is easier for you, another method is:

8-6.5=1.5 subtract the original amount to the new amount

1.5/8=0.1875 divide by the original amount

0.1875*100=18.75 find the percentage

7 0
3 years ago
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