Answer:
7a ( 1,1)
7b ∅ or no solution
Step-by-step explanation:
The solution to the system is where the two functions intersect
For 7a. The parabola and the line intersect at (1,1)
For 7b The parabola and the line do not intersect so there is no solution
Answer:
- payment: $637.30
- 5-year balance: $78,505.48
- 10-year balance: $58,991.59
Step-by-step explanation:
1. The relevant formula for computing the monthly payment A from principal P and interest rate r for loan of t years is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
Filling in the numbers and doing the arithmetic, we get ...
A = $93,411(0.054/12)/(1 -(1 +0.054.12)^-(12·20)) ≈ $637.30
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2. The relevant formula for computing the remaining balance after n payments of amount p on principal P at interest rate r is ...
A = P(1 +r/12)^n -p((1 +r/12)^n -1)/(r/12)
Filling in the given values and doing the arithmetic, we get ...
A = $93,411(1.0045^60) -637.30(1.0045^60 -1)/(0.0045) ≈ $78,505.48
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3. The same formula with n=120 gives ...
A = $93,411(1.0045^120) -637.30(1.0045^120 -1)/(0.0045) ≈ $58,991.59
Answer:
Ohhhh IVE DONE THIS BEFORE IM 99.9 % sure its -8
Step-by-step explanation:
Answer:
<em>The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).</em>
<em>The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒</em>
<em>The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number) </em>
<em>The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number) = P(head) ×</em><em> P(even number)</em>
<em> P(even number)Assuming a fair coin and a fair die:</em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) </em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%</em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) </em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50%</em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).</em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number) </em>
<em> P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number) =50%×50%</em><em>=25%</em>
