Answer: 3 3/8
Step-by-step explanation:
We know that for example 2/4=4/8 so it is multiplied by 2. In this problem the fractions are 2 2/4 and 6 1/8. We are subtracting so you would first multiply the fraction that’s going to subtracted from the other fraction 2 3/4= 2 6/8. Now that we have our fractions we can subtract 6 1/8-2 6/8 this would leave us with 3.375 which is equal to 3 3/8.
Answer:
- $5000 at 10%, $10000 at 12% and 10000 at 16%
Step-by-step explanation:
- <em>One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?</em>
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Let the parts be x, y and z
<u>As per given we get below system of equations:</u>
- x + y + z = 25000
- 0.1x + 0.12y + 0.16z = 3200
- 0.1x + 0.2y = 0.16z
<u>Substitute 0.1x + 0.2y in the second equation:</u>
- 0.16z + 0.16z = 3200
- 0.32z = 3200
- z = 3200/0.32
- z = 10000
<u>Now we have:</u>
- x + y + 10000 = 25000 ⇒ x + y = 15000
and
- 0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600
<u>Multiply the second equation and then subtract the first one:</u>
- 10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000
- x + 1.2y - (x + y) = 16000 - 15000
- 0.2y = 1000
- y = 10000
Then
<u>So the parts are:</u>
- $5000 at 10%, $10000 at 12% and 10000 at 16%
(3-6)/(8-2)+(7/2)
Do what is in the parenthesis first.
-3/6+3.5
-0.5+3.5=3
Therefore, your answer is 3
Hope this Helps!
We know that
surface area of the square pyramid=area of the base+4*[area of lateral triangle]
area of the base=b²----> area of square
b=6 ft
area of square=6*6---> 36 ft²
area of lateral triangle=b*h/2
b=6 ft
h=9 ft
area of lateral triangle=6*9/2---> 27 ft²
surface area of the square pyramid=36+4*27----> 144 ft²
the answer is
144 ft²
Answer:
if you meant (b+3)+(2^b-2), the answer is b+1+2^b
Step-by-step explanation:
but if you meant (b+3)+(2b-2), the aanswer is 3b+1
