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Eng. Math

The document contains a series of mathematical problems and their solutions, covering topics such as algebra, geometry, and financial calculations. Key answers include expressions in terms of x, angles of elevation, and age problems. Additionally, it addresses loan amortization with specific payment amounts.

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9 views1 page

Eng. Math

The document contains a series of mathematical problems and their solutions, covering topics such as algebra, geometry, and financial calculations. Key answers include expressions in terms of x, angles of elevation, and age problems. Additionally, it addresses loan amortization with specific payment amounts.

Uploaded by

Lavado Avocado
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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1. Given that (32 a ¿ ( 11b ) =(27 4 x )(332 x )express in terms of x.

Ans: 7x
2. In how many minutes after 2 o’clock will the hands of the clock extend in opposite
directions for the first time
Ans: 43.64 minutes
3. A surveyor in a helicopter at an elevation of 1000 meters measures the angle of
depression to the far edge of an island as 24° and the angle of depression to the near edge
as 31°. How wide is the island?
Ans: 581.76m
4. Two times the father’s age is 8 more than six times his son’s age. Ten years ago, the sum
of their ages was 44. The age of the father and son is:
Ans: Father= 49 years old
Son= 15 years old
5. Two thousand (2000) kg of steel containing 8% nickel is to be made by mixing a steel
containing 14% nickel with another steel containing 6% nickel. How much of the steel
containing 14% nickel is needed?
Ans: 500kg
6. If 45^y = 1, what is the value of y/45?
Ans: 0
2013 !+ 2014 !
7. Find n if n !=
2015
Ans: 2013
8. Simplify 4 x −4 x−1−4 x−2
Ans: 11 ( 4 x−2)
9. Two observers, facing each other, are 7 miles apart on a plain. They find that the angles
of elevation of a kite in the same vertical plane with themselves are 63° and 52°,
respectively. Find the distance of each observer from the kite. (Round your answer to the
nearest hundredth mile.)
Ans: 2.76 miles, 4.24 miles
10. Jones Corporation borrowed P9,000 from Brown Corporation on Jan 1, 1978 and
P12,000 on Jan. 1, 1980. Jones Corporation made a partial payment of P7.000 on Jan. 1.
1981. It was agreed that the balance of the loan would be amortized by two payments,
one of Jan. 1, 1982 and the other on Jan. 1, 1983; the second being 50% larger than the
first. If the interest rate is 12%, what is the amount of each payment?
Ans: P9,136.91 and P13,705.36

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