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klasskru [66]
3 years ago
12

8 t-shirts and a hat costs £42.00

Mathematics
2 answers:
stealth61 [152]3 years ago
7 0

Answer:

a T-shirt costs £5

a hat costs £2

Step-by-step explanation:

Suppose

A T-shirt=x

A Hat=y

So the equation is

8x+y=42

3x+y=17

So

8x+y=42

3x+y=17

------------

5x=25

x=5

So a T-shirt costs £5

3.5+y=17

15+y=17

y=2

So a hat costs £2

mr_godi [17]3 years ago
6 0

Answer:

t-shirt: £5

hat: £2

Step-by-step explanation:

Please see the attached picture for the full solution.

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Last year Marta invested money in two accounts. The first account had an interest rate of 3% and the second account had an inter
KatRina [158]

The amount invested in the first account is $9,300 while the amount invested in the second account is $8,800.

<h3>How do we calculate the amount invested?</h3>

Let x represents the amount invested in the first account.

Therefore, we have:

Amount invested in the second account = x - 500

Interest income from first account = 3% * x = 0.03x

Interest income from second account = 5% * (x - 500) = 0.05x - 25

Total interest income = 0.03x + 0.05x - 25 = 719

Solving for x, we have:

0.08x = 719 + 25

x = 744 / 0.08

x = $9,300

Substituting for x, we have:

Amount invested in the second account = $9,300 - $500 = $8,800

Learn more about the amount invested here: brainly.com/question/24132106.

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3 0
2 years ago
In Exercise,find the balance in the account after 10 years.
Vesnalui [34]

Answer: $ 3462.03

Step-by-step explanation:

The exponential equation for growth (compounded continuously) is given by :-

A=Pe^{rt}

, where P= Present value

r= growth rate  ( in decimal)

t= time

As per given , we have

P=$1900,  r = 6% =0.06  and t= 10

Substitute all the values in the above equation , we get

A=1900e^{0.06(10)}

A=1900e^{0.6}

A=1900(1.8221188)=3462.02572\approx3462.03  [To the nearest cent]

Hence, the balance in the account after 10 years = $ 3462.03

3 0
3 years ago
Benjamin started her walk from the front door of her ground floor apartment. She walked 6 meters to the corner of the building a
notsponge [240]

Answer:

<u>4 meters.</u> 

Step-by-step explanation:

Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position. 

So, the total distance Benjamin walked is 10m + 6m = 16m 

Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.

The difference between the distance she walked and her displacement is 4 meters. 

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!    

6 0
3 years ago
What is 36,000×10___???and what is 36,000÷10=_____???
AnnyKZ [126]
36000 x 10 = 360000 and 36000/10 = 3600
5 0
3 years ago
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Is this equation have a solution or not<br> y = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D" id="TexFormula1" title=
Musya8 [376]

Answer:

No solution.

Step-by-step explanation:

y + 3x - 4y = 0 + 0.75x

- 3y + 3x = 0 + 0.75x

- 3y + 3x - 0.75x = 0 + 0.75x - 0.75x

- 3y + 2.25x = 0

7 0
3 years ago
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