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Gala2k [10]
3 years ago
15

Solve the following: a) 3x2+ 4 9.5 b) 7+2x 5

Mathematics
1 answer:
patriot [66]3 years ago
7 0

Answer:

a= 55.5

b= 45

hope it is helpful for u

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A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte
ELEN [110]

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, q_1 = Q- r \times Q

q_1 = Q(1-r)\cdots(i)

The value of quantity after 2 months, q_2 = q_1- r \times q_1

q_2 = q_1(1-r)

From equation (i)

q_2=Q(1-r)(1-r)  \\\\q_2=Q(1-r)^2\cdots(ii)

The value of quantity after 3 months, q_3 = q_2- r \times q_2

q_3 = q_2(1-r)

From equation (ii)

q_3=Q(1-r)^2(1-r)

q_3=Q(1-r)^3

Similarly, the value of quantity after n months,

q_n= Q(1- r)^n

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

q_{48}=Q(1-r)^{48}

Putting Q=6200 and r=5.5%=0.055, we have

q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32

Hence, the value of quantity after 4 years is 410.32.

4 0
3 years ago
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The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area? square units
Tasya [4]

Answer:

28 units²  

Step-by-step explanation:

Assume that your net has the dimensions shown below.

Its area is

2 yellow rectangles = 2(4 × 2) = 2 × 8 = 16 units²

2 grey rectangles    =  2(4 × 1) = 2 × 4  =  8 units²

2 green rectangles  = 2(2 × 1)  = 2 × 2  = <u> 4 units²</u>

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The prism's surface area is 28 units².

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Half of a number decreased by 27
bija089 [108]

"Half of a number decreased by 27" can be displayed as:

<u>1/2x - 27</u>

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3 years ago
How do I solve for x ?X +8=-15
DanielleElmas [232]
Subtract 8 from both sides
So you end up with x = -23
7 0
3 years ago
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If the length of a cube is l then find the area of cross section​
densk [106]

Answer:

The cross section of a cube is square...

and we know that ,Area of square = side²

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6 0
3 years ago
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