Answer:
A = 1.99
Step-by-step explanation:
A=πr2
C=2πr
Solving forA
A=C2
4π=52
4·π≈1.98944
Answer:
First option:
Step-by-step explanation:
The expression is:
Scientific Notation (which is also known as "Standard form"), is a way to write numbers. It is very useful to handle very small numbers and very large numbers.
By definition, Scientific Notation has the following form:
Where the coefficient "a" is a number from 1 to 10 without including 10, and the exponent "n" is an Integer.
Given:
If you want to estimate the result, you can round the coefficients to the nearest whole number. Since the decimal point must be just after the first digit, you know that:
Now you need to remember the Product of powers properties:
Then, solving the multiplication, you get:
Answer:
23
Step by Step:
Because you need to interchange the the variables and solve for y.
Answer for the first box = 6000
Answer for the second box = 1.004
Answer for the third box = 720
So the full equation is
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Explanation:
The compound interest formula is
A = P( 1+r/n )^(n*t)
where
- P = amount deposited (principal)
- r = interest rate in decimal form
- n = number of times we compound per year (compounding frequency)
- t = number of years
In this case,
- P = 6000
- r = 4.2% = 4.2/100 = 0.042
- n = 12 since there are 12 months in a year (it explains the 12 in the exponent in the answer)
- t = unknown, we leave this as is
So we go from this
A = P( 1+r/n )^(n*t)
to this
A = 6000( 1+0.042/12 )^(12t)
A = 6000(1.0035)^(12t)
A = 6000(1.004)^(12t)
The 1.0035 rounded to 1.004 when rounding to three decimal places, as the instructions mention.
So far we only considered the amount placed into the bank. But there's also the amount placed in the safe at home. We have $60 placed in here per month. This is 60*12 = 720 dollars per year. If t years go by, then a total of 720t dollars is put in the safe.
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So in summary we found
= amount in savings account after t years go by
= amount in safe after t years
leading to
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