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lyudmila [28]
3 years ago
11

In

Mathematics
2 answers:
hammer [34]3 years ago
7 0

Let

x-------> amount of money in their savings accounts in May

we know that

In June, Liam deposited $140 into his account

so

Balance Liam’s saving in June is equal to

x+140 ------> equation 1

In June, Charlie increased the money in his account by5%

Balance Charlie’s saving in June is equal to

x+0.05x ------> equation 2

Equate equation 1 and equation 2

x+140=x+0.05x\\ x+140=1.05x\\ 1.05x-x=140\\ 0.05x=140\\ x=140/0.05\\ x=2,800$

therefore

the answer is

$2,800

Crank3 years ago
6 0
<span>Liam’s saving = x + $140
Charlie’s saving = x + 5%
In order to get the value of x, let’s find the amount which 5% is equals to 140
=> 2800
=> 5% = 0.05
=> 2800 x 0.05
=> 140
=> 2800 (amount that Liam and Charlie have in their account before they added)
Thus, Liam and Charlie both have $2800 on their account .
=> Liams = 2800 + 140 = 2940
=> Charlir = 2800 + 5% (140) = 2940.</span>



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josie cast a shadow of 6ft and she is 5 ft 6 in tall. A building cast a shadow of 18 ft at the same time that josie measured her
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Josie's height = 5 ft 6 in. = 5 1/2 ft = 11/2 ft.
Josie's shadow = 6 ft.

Ratio of shadow to height = 6 / 11/2 = 12/11
So, It would be equal to ratio of building's shadow to building's height.

18/x = 12/11
x = 18*11 /12
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Hope this helps!

6 0
3 years ago
I need help with this question?
romanna [79]

First find the total of 2n by using the formula for summation:

( n(n+1))/2

Replace n with 24 and multiply the equation by 2 to get 2n:

2(24(24+1)2) = 2(24*25/2) = 2(600/2) = 600

Now find the total for -3 using the summation for a constant, which is multiplying n by the constant:

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4 0
3 years ago
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4 years ago
Find the length of OX
Natali5045456 [20]

Answer:

Length OX = 7.09 units

Step-by-step explanation:

The diagram of the full question is attached to this solution.

Let the length of OX be x

Then length of OD = (13 - x)

From the image of the figure, it is given that

Angle BOL = Angle LOP

Let that angle be equal to θ

Angle BOL = Angle LOP = θ

But since lines BX, OL and PD are evidently parallel to one another, we can say that

Angle OPD = Angle LOP = θ (alternate angles are equal)

Also, Angle OBX = Angle BOL = θ (alternate angles are equal)

And from trigonometric relations,

Sin θ = (x/12)

And

Sin θ = (13 - x)/10

Since sin θ = sin θ

We can then equate

(x/12) = (13 - x)/10

cross multiplying

10x = 12 (13 - x)

10x = 156 - 12x

10x + 12x = 156

22x = 156

x = (156/22) = 7.091 = 7.09 to the nearest hundredth.

Hence, length OX = 7.09 units

Hope this Helps!!!

3 0
4 years ago
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