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Ratling [72]
3 years ago
10

The width of the prism is (2x − 2) ft, and its height is (x + 5) ft. The area of the base of the prism is (2x2 + 6x − 8) ft2.

Mathematics
1 answer:
Triss [41]3 years ago
7 0

Answer:

2x^2+8x-10

Step-by-step explanation:

Given data

Width= (2x -2) ft

Heigth=  (x + 5) ft

The area of the base is given as

Area= width * heigth

Area=  (2x -2)* (x + 5)

open bracket

Area= 2x^2+10x-2x-10

collect like terms

Area= 2x^2+8x-10

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Answer:

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4 0
3 years ago
1 pts
balu736 [363]

9514 1404 393

Answer:

  $935.11

Step-by-step explanation:

The amount is given by the formula ...

  A = P(1 +r/n)^(nt) . . . P invested at rate r for t years compounded n per year

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The amount accumulated will be $935.11 after 4 years.

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Which of the following expressions are equivalent to x + y-z
gavmur [86]

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3 years ago
Graph each absolute value function. State the domain, range, and y-intercept.
Paraphin [41]

Answer:

i)D:x\in R

ii)R: y\ge-3

iii) Y-int:(0,-1)

Step-by-step explanation:

i) The given absolute value function is;

f(x)=|x+2|-3.

The absolute value function is defined for all real values of x.

The domain is all real numbers.

ii) The range is all y-values that will make x defined.

The given function,

f(x)=|x+2|-3.

has vertex at, (-2,-3) and opens upwards.

This implies that, the minimum y-value is -3.

The range is y\ge-3

iii) To find the y-intercept substitute x=0 in to the function.

f(0)=|0+2|-3.

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See attachment for graph.

6 0
3 years ago
A bank loaned out $28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual
Flauer [41]

Answer:

$15,000 was invested at 14% per year, and $13,500 was invested at 4% per year.

Step-by-step explanation:

Given that a bank loaned out $ 28,500, part of it at the rate of 14% annual interest, and the rest at 4% annual interest, and the total interest earned for both loans was $ 2,640.00, to determine how much was loaned at each rate you must perform the following calculations:

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Therefore, $ 15,000 was invested at 14% per year, and $ 13,500 was invested at 4% per year.

5 0
2 years ago
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