Answer:
A(t) = 200+15t(1+0.02)^{t}
Step-by-step explanation:
Since the interest is calculated on the new balance every year.
Hence the formula used for compound interest is:
A = P(1+
^{nt}
where, A =Amount after t years
P =Principal amount
200 is the initial balance and Since, here the $15 is added to the balance each year. Therefore, P = 200+15t
r = rate each year (0.02)
t = time (in years) (t)
n = no. of times the interest is compounded in a year (n=1)
Therefore, the recursive formula is:
A(t) = 200+15t(1+0.02)^{t}
The bus drops Nigel off 64 miles away from the school.
Step by step Explanation:
An equation for this would be 312-14-234 (this was the equation I used. Since you would do left to write to solve the equation, you would do, 312-14 which equals 298. Then, the equation is left as 298-234, and when you solve that part to the equation, yoh would be getting 64. And that's how you would get the answer 64miles away from the school.
Answer:
-8.3 + 9.2 - 4.4 + 3.7
= -8.3 + 9.2 + (-4.4) + 3.7 {Additive inverse}
= -8.3 + (-4.4) + 9.2 + 3.7 {Commutative Property}
= [ -8.3 + (-4.4] + [ 9.2 + 3.7] {Associative property}
= - 12.7 + 12.9
= 0.2
Step-by-step explanation:
Answer:
p = all real numbers
Step-by-step explanation:
First distribute the numbers to the expressions inside the parenthesis
-11 + 10(p + 1) = -16 + 5(2p + 3)
-11 + 10p + 10 = -16 + 10p + 15
Then, add up the like terms
10p - 1 = 10p - 1
Add one to both sides
10p - 1 = 10p - 1
+ 1 + 1
10p = 10p
Divide both sides by 10
10p/10 = 10p/10
p = p
This means that no matter what you plug in for p, it will always be true.
