Answer:
Cost of Television = $294
Step-by-step explanation:
7% discount means 7/100 = 0.07 LESS
So we need to multiply by 1 - 0.07 = 0.93
Also, 10% MORE, or extra, means 10/100 = 0.10 MORE
So we need to multiply by 1 + 0.10 = 1.1
Let cost of television be "c", so we can say:
- 7% discount would mean cost to be c(0.93) = 0.93c
- 10% with interest would mean cost to be c(1.10) = 1.10c
The difference is 49.98. So we subtract lower value (0.93c) from larger value (1.10c) and equate to 49.98 and solve for c:
Cost of Television = $294
Answer:
The GCF is - 4y
Step-by-step explanation:
Given the polynomial expression −16y4 + 12y2 – 4y?
If we carefully traverse all the terms we can factor out 4y from all the terms
=-4y(4y³-3y+1) which is similar to the original expression
Hence the greatest common factor GCF = - 4y
The Greatest Common Factor (GCF) is the largest number that will divided evenly into that number.
Answer:
- k = 0.005
- doubling time ≈ 139 years
Step-by-step explanation:
Matching the form
A = A0·e^(kt)
to the given equation
A = 8·e^(.005t)
we can identify the value of k as being 0.005.
k = 0.005
___
The doubling time is given by the formula ...
t = ln(2)/k = ln(2)/0.005 ≈ 138.63
It will take about 139 years for the population to double.
Given:
Amount in the bank account = $1850
Monthly payment of can loan = $400.73
To find:
When would automatic payments make the value of the account zero?
Solution:
Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.
On dividing the amount by monthly payment, we get
It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.
Therefore, the 5th automatic payments make the value of the account zero.
Answer:
Step-by-step explanation:
<u>Differentiation</u>
We have a relationship between x and y as follows:
Both variables depend on time t for t≥0.
Differentiating with respect to time:
Applying the derivative of a power function:
Recall the derivative of a constant is 0.
Dividing by 2:
Solving for y':
At some specific time, we have:
x=3, y=4, dx/dt = x' = 6. Substituting:
Operating:
Simplifying:
