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Length and Savings Account Essay examples

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1. If 5 times the value of a number is increased by 3, the result is 28. What is the number?
5x+3=28
5x=25 x=5 The answer is 5
2. If 4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number, find the number.
4*(1/x)=(5/2)*(1/x)+3
4/x=(5/2x)+3
(8/2x)=(5/2x)+3
(8/2x)-(5/2x)=3
(3/2x)=3
x=1/2
The answer would be x=1/2
3. John had $30,000 to invest. He invested part of this money in bonds paying 12% annual simple interest and the rest of the money in a savings account giving 4% annual interest. At the end of the year, he received $2,400 as extra income. How much money did John place in each investment?

.4x+.12(30000-x)=2400
.04x+.12(30000)-.12x=2400
.04x+3600-.12x=2400
.12x-.04x+3600=2400 …show more content…

The length of a rectangular field is 50 feet less than its width. If the perimeter of the field is 840 feet, find the length of the field
2x+2y=840
2(y-50)+2y=840
2y-100+2y=840
4y=940 y=235 x=235-50 x=185 The length of the field would be 185Ft.
11. Alan participated in a car race in which he had to cover a distance of at least 50 kilometers. He had fuel in his car for a maximum distance of 53 kilometers. If the distance is given by , where t is the time in hours, find the minimum and maximum number of hours for which Alan can drive his car. for at least 50 km s (t)=3t+47 s (t) =50
50=3t+47
3t=3 t=1 hour for a maximum of 53 km s(t)=53 53=3t+47
3t=6
t=2 hours
The minimum number of hours which Alan can drive is 1 hour. the maximum Alan can drive is 2hours.
12. in a 2-digit number, the number in the unit’s place is 4 more than the number in the ten’s place. If the digits of the number are reversed, the new number is 6 more than thrice the original number. Find the original number.
13.
x= units digit y=tens digit
10x+y=3(10y+x)+6
7x-29y=6
7(y+4)-29y=6
7y+28-29y=6
-22y=-22
y=1
Therefore x=5
Therefore the original number is

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