Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the lib
rary. Then, from the library, he travels about 3.6 miles to return home. The entire trip forms a triangle. A triangle has points labeled Library, Mall, and Home The largest angle formed during his trip is _______. At his home at the mall between the mall and the library between his home and the library
2 answers:
Answer: The most significant angle created during his journey appears at the mall, between his house and the library.
Step-by-step explanation:
Hi, since this scenario forms a right triangle (refer to the attached image), the angle between his house and the library measures 90°.
For a right triangle, the total of its internal angles equals 180°, making the right angle (90°) the largest among them.
Thus, the angle at the mall, between his house and the library, is indeed the largest angle formed during his trip.
If you need further clarification or have questions, feel free to ask!
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Response:
To accumulate $7,500 in three years, the required one-time deposit is $4388.17
Step-by-step explanation:
Basic Financial Formulas
A commonly used formula for calculating present and future values is
Where FV represents the future value, PV denotes the present value, r signifies the interest rate, and n indicates the number of compounding periods. It’s essential to remember that r and n must correspond to the same compounding duration, e.g. r is compounded monthly while n is expressed in months.
The inquiry seeks to determine the PV necessary as a one-time deposit to achieve a future value of $7,500 in 3 years at an interest rate of 1.5% compounded monthly.
FV=7,500
r=1.5%=0.015
n=3*12=36 months
We have changed n to months since r is monthly compounded. The equation
must be arranged to isolate PV.
Response
: The amount necessary as a one-time deposit to accrue $7,500 in three years is $4388.17[[TAG_54]]Answer:
(B) There is a single solution: x = 0.
Step-by-step explanation:
The equation that Kate is attempting to solve is:
Consequently, this equation results in one solution: x = 0.