It would take 10.7 years.
The formula for continuously compounded interest is:
where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Using our information we have:
We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:
Divide both sides by P:
Take the natural log, ln, of each side to "undo" e:
Divide both sides by 0.065:
Answer:
x = 1 and y = 4
Step-by-step explanation:
Solution,
(x+2,y) = (3,4)
Now,
Comparing corresponding elements,
x+2 = 3 , y = 4
or, x = 3 - 2 , y = 4
or, x = 1 , y = 4
Therefore, the value of x is 1 and y is 4.
Answer:
<h2>2. (0, -4)</h2>
Step-by-step explanation:
Answer:
Step-by-step explanation:
To add or subtract two or more fractions from each other, the denominators have to be the same. To make the denominators the same, we should find the least common multiple of 5 and 7. The least common multiple of 5 and 7 is 35. 5 should be multiplied with 7 to get 35 and 7 should be multiplied with 5 to get 35 (with both numerators).
When subtracting, only subtract the numerators (the denominators are kept as is).
19) because 1/2 an hour is 8 miles, 1 hour will take 16 miles , multiply 8 by 2 because I️t gave half an hour so multiplying by 2 will give an hour (2 half’s make a whole)
20) 2 1/2 multiplied by 4 is 10, so his jog will be 10 minutes longer
21) 4,500 was what he earned and 4,900 was what he lost (“expenses”) so he lost $400:
$4,500 - $4,900= -$400
He lost money because the answer is negative