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MrRa [10]
3 years ago
8

Multiply and reduce to lowest form 1 2/5×1 7/10

Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0
The answer is 2 19/50.
First of all you have to convert the mixed numbers into improper fractions. So, 1 2/5 is equal to 7/5 and 1 7/10 is equal to 17/10. Next you multiply the denominators by the denominators and multiply the numerator by the numerator. 7 times 17 is 119 and 5 times 10 is 50. So the fraction is 119/50. You convert the improper fraction into a mixed number, which is 2 19/50.
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A company invests $15,000.00 in an account that compounds interest annually. After two years, the account is worth $16,099.44. U
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Principal = $15000
Amount = $16099.44
Rat of interest = r
Time = 2 years
Then
A = P(1 + r)^t
16099.44 = 15000 (1 + r)^2
(1 + r)^2 = 1.073
(1 + r)^2 = (1.036)^2
Then
1 + r = 1.036
r = 1.036 - 1
  = 0.036
  = 0.036/100
  = 3.6%
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the second option.
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3 years ago
2
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Answer:

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Step-by-step explanation:

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2 years ago
Choose an appropriate scenario for the graph below...
schepotkina [342]

Answer:

2. Tom ran from his house to the bus stop and waited. He realised that he missed the bus so he walked home

Step-by-step explanation:

He ran to the bus stop so his distance from his home is far, then he waited so the distance did not change, and then he went back home so the distance to the house got smaller again.

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3 years ago
In 2005 there were 1352 students in 2006 there were 1014 students work out the decrease in the number of students
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3 years ago
Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ
In-s [12.5K]
PART A

The equation of the parabola in vertex form is given by the formula,

y - k = a {(x - h)}^{2}

where

(h,k)=(1,-2)

is the vertex of the parabola.

We substitute these values to obtain,


y  + 2 = a {(x - 1)}^{2}

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.


6  + 2 = a {(3 - 1)}^{2}


8= a {(2)}^{2}


8=4a


a = 2
Hence the equation of the parabola in vertex form is


y  + 2 = 2 {(x - 1)}^{2}


PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

y + 2 = 2(x - 1)(x - 1)


We expand to obtain,


y + 2 = 2( {x}^{2}  - 2x + 1)


This will give us,


y + 2 = 2 {x}^{2}  - 4x + 2


y =  {x}^{2}  - 4x

This equation is now in the form,

y = a {x}^{2}  + bx + c
where

a=1,b=-4,c=0

This is the standard form
7 0
3 years ago
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