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Ray Of Light [21]
3 years ago
11

Find the final amount for the investment given you initially have $5500 earning

Mathematics
1 answer:
stich3 [128]3 years ago
5 0
Is the final value
P is the initial principle
r is the (annual) interest rate (as a decimal)
t is time (years)

10500%2Ae%5E%28%28.0625%2A25%29%29
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The diagonal of a TV set is 13 inches long. It’s length is 7 inches more than the height. Find the dimensions of the TV set.
alukav5142 [94]

Answer: The length is 12 inches while the height is 5 inches

Step-by-step explanation: It the Television has a diagonal of 13 inches, and a height of H inches, then the length would be (H + 7) inches. It’s length is 7 inches more than the height. At this point we can draw up a right angled triangle with the hypotenuse as 13 (diagonal side) and the other two sides as H and (H + 7)

Then we can apply the Pythagoras theorem which states that

AC^2 = AB^2 + BC^2

(Where AC is the hypotenuse and AB and BC are the two other sides)

Hence,

13^2 = H^2 + (H + 7)^2

169 = H^2 + (H^2 + 14H + 49)

169 = 2H^2 + 14H + 49

By collecting like terms we now have

169 - 49 = 2H^2 + 14H

120 = 2H^2 + 14H

By re-arranging all terms on one side of the equation, we arrive at

2H^2 + 14H - 120 = 0

Divide all sides by 2

H^2 + 7H - 60 = 0

To solve the quadratic equation, we now factorize and we have,

H^2 + 12H - 5H - 60 = 0

(H + 12) (H - 5) = 0

Therefore

Either H + 12 = 0 OR

H - 5 = 0

Hence, Either H = -12 or H = 5

The dimension can not be a negative value so we shall take h equals 5.

Having calculated the height of the television as 5 inches, the length which was given as H + 7 can now be calculated as

Length = H + 7

Length = 5 + 7

Length = 12

Therefore, the length of the Television is 12 inches and the height is 5 inches

4 0
3 years ago
A regular bar is 5 ounces and costs $1.25 A gigantic bar is 2 pounds and costs $6.98.
kolbaska11 [484]

Answer:

An experiment is done to see the health effect of large amounts of aspirin on rats. ... 2. Apples sell for 43 cents a pound. How much do 3.2 pounds of apples cost? ... A solid gold nugget is 23.5 ounces. How much is it worth? 23.5 oz x. $500 lez ... 5. A chocolate bar weighs 4.00 ounces.

Step-by-step explanation:

3 0
3 years ago
Please help me, math is so hard
Aneli [31]

Answer:

32 divided by 4 = 8,

8^2 + 8^2 = 128

128: 11^2 = 121 close enough, 11 is your answer

We are finding hypotenuse but first we find the length of all sides of the two squares to find the two sides of the triangle then we find hypotenuse.

8 0
2 years ago
Read 2 more answers
What is 2/5 times -10
maxonik [38]

Answer:

-4

Step-by-step explanation:

2/5 times -10 = -4

6 0
3 years ago
Read 2 more answers
Simplify (2/9)^3<br><br> A. 8/729<br> B. 6/9<br> C. 2/729<br> D. 8/9<br><br> No guessing please
Lunna [17]
Eliminate the exponent
2^3=8
9^3=729

The simplified answer would be 8/729.

Hope this helps! 
7 0
3 years ago
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