Answer:
(a) The future value after 9 years is $7142.49.
(b) The effective rate is 
.
(c) The time to reach $13,000 is 21.88 years.
Step-by-step explanation:
The definition of Continuous Compounding is
If a deposit of 
dollars is invested at a rate of interest 
compounded continuously for 
years, the compound amount is
(a) From the information given
Applying the above formula we get that
The future value after 9 years is $7142.49.
(b) The effective rate is given by
Therefore,
(c) To find the time to reach $13,000, we must solve the equation
-5y=12-3x (subtract 3x from both sides)
y = - 12-3x/5 (divide both sides by -5)
y = - 3(4-x)/5 (common term is 3)
Answer: Choice A
7(10+9) = 70 + 63
============================
Explanation:
when we multiply 7 by 19, we start off multiplying just 7*9 = 63 so just focus on the units or ones digit of 19 to have it multiply with 7. We have 63 as the result so we write down "3" as part of the answer, and carry the 6.
Then you move onto the tens digit. The tens digit of 19 is 1. Multiply 1 by 7 and we get 7, which adds on to the carry digit 6 to get 7+6 = 13. Therefore we'll stick a 13 in front of the 3 we got earlier to end up with the final answer 133
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Using the distribution rule is much easier in my opinion
19 = 10+9
7*19 = 7*(10+9)
7*19 = 70+63
7*19 = 133
The idea is to multiply the outer 7 by each term inside the parenthesis
7*(10+9) = 7*10 + 7*9 = 70 + 63
So we multiplied the 7 by the 10 first to get 7*10 = 70
Then did the same for the 9 term as well 7*9 = 63
After those two multiplications, we add the results up: 70+63 = 133
This might help it has tons of different problems for your subject.
https://www.wyzant.com/resources/lessons/math/algebra/calculators/proportion
Answer:
x = - 6
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 9 when x = 3, thus
k = 
= 
= - 3
y = - 3x ← equation of variation
When y = 18, then
18 = - 3x ( divide both sides by - 3 )
x = - 6
