Help . I hate these kind of problems !
1 answer:
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Let's say the amounts are "a" and "b"
6% 4%
now... we dunno what "a" is, but nevermind, whatever that is, "b" invested at 4%, is 1600 less than that or less than "a", namely b = a - 1600
so.. "a" is the bigger amount than "b" by 1600, but no matter
what is 6% of a? well, 6/100 * a or 0.06a, that's how much it yielded
what is 4% of b? well, 4/100 * b, or 0.04b, that's much it earned in interests
we know, their yield, or total in earned interest is 156, so.. whatever those yields are, they add up to 156 or
0.06a + 0.04b = 156
now
solve for "a", to see how much was invested at 6%
how much is "b"? well, b = a - 1600
6% 4%
now... we dunno what "a" is, but nevermind, whatever that is, "b" invested at 4%, is 1600 less than that or less than "a", namely b = a - 1600
so.. "a" is the bigger amount than "b" by 1600, but no matter
what is 6% of a? well, 6/100 * a or 0.06a, that's how much it yielded
what is 4% of b? well, 4/100 * b, or 0.04b, that's much it earned in interests
we know, their yield, or total in earned interest is 156, so.. whatever those yields are, they add up to 156 or
0.06a + 0.04b = 156
now
solve for "a", to see how much was invested at 6%
how much is "b"? well, b = a - 1600
<h2>=>> <u>Solution (part A</u>) :</h2>
Given :
▪︎Triangle AMG is an isosceles triangle.
▪︎Measure of segment AM = (x+1.4) inches
▪︎Measure of segment MG = (2x+0.1) inches
▪︎Measure of segment AG = (3x-0.4) inches
▪︎segment AG is the base of triangle AMG.
Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.
Which means :
Thus, the value of x = 1.3
Therefore :
▪︎The value of x = 1.3
<h2>=>> <u>Solution (Part B)</u> :</h2>We know that :
▪︎The value of x = 1.3
Which means :
The length of the leg AM :
Thus, the length of the leg AM = 2.7 inches
The length of leg MG :
Thus, the length of the leg MG = 2.7 inches
Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.
Therefore :
▪︎Measure of leg AM = 2.7 inches
▪︎Measure of leg MG = 2.7 inches
<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>We know that :
Value of x = 1.3
Then, measure of the base AG :
Thus, the measure of the base = 3.5 inches
Therefore :
▪︎ the length of base AG = 3.5 inches.