Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $7500
r = 6% = 6/100 = 0.06
Assuming the interest was compounded annually, then
n = 1 because it was compounded once in a year.
t = 4 years
Therefore,
A = 7500(1 + 0.06/1)^1 × 4
A = 7500(1.06)^4
A = $9468.6
The interest that they would have earned after 4 years is
9468.6 - 7500 = $1968.6
Answer: 5t+15
Step-by-step explanation: Distribute the 5 into the parenthesis.
5 x t = 5t
5 x 3 = 15
You will get 5t +15.
This is equivalent to 5t+5*3
To get the answer, you multiply the outer term 5 by each term inside
5 times t = 5*t = 5t
5 times 3 = 5*3 = 15
Then you add up those products to get 5t+15.
This is using the distributive property.
Jim's hose takes 15 hours while Bob's hose takes 12 hours to fill the pool when used individually.
This is a mathematical problem that can be solved using the concept of rates.
Let x be the time taken by Jim's hose to fill the pool alone. Since Bob's hose is 20% faster, it takes 0.8x hours to fill the pool alone. We know that work done is inversely proportional to the time taken, we set up the equation 1/x + 1/0.8x = 1/12 (since together they fill the pool in 12 hours).
On solving this equation, we get x= 15 hours (Jim's hose) and 0.8x = 12 hours (Bob's hose).
#SPJ3
a. y + 3 ≥ –1
b. y + 3 > –1
c. y + 3 ≤ –1
d. y + 3 < –1
Answer:
20
Step-by-step explanation:
f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1)
f(x)= (-1)(2) +3 (-1)= -2+-3= -5
g(x)= 2 (-1)2= -4
(f ∘ g)= -5 x -4= 20