To start with,
Let x signify the balance in the first savings account.
Let y signify the balance in the second savings account.
The combined total in the accounts is $9,000, leading to the equation:
x + y = 9000 (1)
Zack withdrew 10% from account x and 60% from account y, totaling $2,175.
Thus,
0.1x + 0.6y = 2175
or
x + 6y = 21750 (2)
To find y, subtract equation (1) from (2):
x + 6y - (x + y) = 21750 - 9000
5y = 12750
y = 2550
Next, from (1), compute:
x = 9000 - 2550 = 6450
Consequently, the balance in the first account is
0.9*x = 0.9*6450 = $5,805, while the balance remaining in the second account is
0.4*y = 0.4*2550 = $1,020.
Final answer:
The balance in the first account is $5,805 and the balance in the second account is $1,020.
<span>In the film "Supervolcano", Rick Lieberman is compelled by FEMA and Secretary of Homeland Security, Joe Foster, to state that there is no indication of an upcoming supereruption, in an effort to calm the public. He makes this claim despite having models that suggest that such an eruption is on the verge of happening.</span>
Answer:
a. This is a result of the Validate Scope process.
Explanation:
The project scope statement serves as a resource that outlines the key deliverables of a project, detailing essential milestones, all necessary requirements, constraints, and assumptions. It thoroughly explains the deliverables of the project along with the necessary work needed to accomplish those deliverables. Additionally, it facilitates a shared understanding of the project scope among stakeholders. Furthermore, it might include clear exclusions from the scope that can help in aligning stakeholder expectations. It is a product of the scope management process and not the verify scope process, meaning that all other choices are valid while option "a" is incorrect.
Response:
The yearly return on the investment in this sculpture is -4.46%.
Details:
Let PV represent the investment amount, while FV is the value after t periods.
FV = PV(1+r)^t
(1+r)^t = FV/PV
1 + r = (FV/PV)^(1/t)
r = (FV/PV)^(1/t) - 1
Here, t is the duration from 1999 to 2003, so t = 2003 - 1999 = 4 years.
FV is $10,311,500.
PV is $12,377,500.
r = ($10,311,500/$12,377,500)^(1/4) - 1
r = -0.0446
Consequently, his yearly rate of return on the sculpture is -4.46%.
