Problem 17, part A
i = simple interest = 900 dolars
p = principle = 1500 dollars
r = interest rate = 0.03 (decimal form of 3%)
t = time in years = unknown (leave it as t for now)
Plug in those values mentioned above and solve for t.
Simple interest formula
i = p*r*t
900 = 1500*0.03*t
900 = 45*t
900/45 = 45*t/45
20 = t
t = 20
Answer: 20 years=============================================
Problem 17, part B
p = 1500
r = 0.03
t = 5 years
A = p+p*r*t
A = 1500+1500*0.03*5
A = 1500+225
A = 1725
Answer: 1725 dollars=============================================
Problem 17, part C
Factor out the GCF p, then divide both sides by 1+rt
A = p+p*r*t
A = p*1+p*r*t
A = p*(1+rt)
A/(1+rt) = p*(1+rt)/(1+rt)
A/(1+rt) = p
p = A/(1+rt)
Answer: p = A/(1+rt)The right side is the fraction of A all over the quantity (1+rt) which may be more readable if written like so

If you're going to write it in the way p = A/(1+rt) then don't forget to use parenthesis.
Answer:
180feet
Step-by-step explanation:
Given the function that models the height of a ball
s(t) = 144 + 48t − 16t^2.
At maximum height, the velocity is zero ie. ds/dt = 0
ds/dt = 48 - 32t
0 = 48 - 32t
48 = 32t
t = 48/32
t = 1.5secs
Get the maximum height
s(t) = 144 + 48t − 16t^2.
s(1.5) = 144 + 48(1.5)-16(1.5)^2
s()1.5) = 144 + 72 - 16(2.25)
s(1.5) = 144 + 72-36
s(1.5) = 180 feet
Hence the maximum height attained by the ball is 180feet
I I think you have the correct answer!
Answer:
SAS Test
Step-by-step explanation:
Not 100% sure exactly what you’re asking, but if you are asking what is 1/4 of $1,000, all we need to do to find the answer is <u>divide</u> $1,000 by the <u>denominator</u> of the fraction which is <u>4</u>
$1,000 ÷ 4 = $250
Therefore, 1/4 of $1,000 is $250
Hope this helps you
-AaronWiseIsBae