Answer:
jim is 24 years old, Mark is 20 years old
Step-by-step explanation:
This prompt can be set up using this equation:
Let's represent Mark's age by variable m and Jim's age by variable J.
j + m = 44
m + 4 = j
m = j - 4
j + (j - 4) = 44
2j - 4 = 44
2j = 48
j = 24
So, jim is 24 years old, meaning mark must be 20 years old. 20 + 24 results in 44 years old together.
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Answer:
Bonds: $42,000
Certificates of deposit: $41,000
Step-by-step explanation:
Total invested = Amount in bonds + Amount in CDs
Amount in bonds = Amount in CDs + 1000
Let the amount in bonds = B and the amount in CDs = C
1. 83,000 = B + C
2. B = C+1000
Since the above expression (#2) defines B, you can substitute it for the B in the first equation (#1).
83,000 = C + 1000 + C
Now, you can solve for C.
83,000 = 2C + 1000
82,000 = 2C
41,000 = C
You know that the amount invested in bonds is $1000 greater than the amount invested in CDs, so add $1000 to C and you find B, $42,000.
Answer:
t = 1/2n-6, nER
Step-by-step explanation:
9514 1404 393
Answer:
75 in^2
Step-by-step explanation:
The central vertical rectangle (including "ears") has dimensions
3 in wide by (9+2+2) = 13 in tall
Its area is
A = LW = (3 in)(13 in) = 39 in^2
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The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is
A = LW = (2 in)(9 in) = 18 in^2
__
The total net area is the sum of the areas of the parts:
left rectangle + central rectangle + right rectangle
= 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net
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The best and most correct answer among the choices provided by the question is <span>D.300°</span>.<span>
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Hope my answer would be a great help for you.</span>
