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diamong [38]
3 years ago
14

You have returned from a trip to Europe and still have €200 euro. How much in U.S. dollars should you receive if the exchange ra

te is USD/EUR 0.6991 ?
Mathematics
1 answer:
BARSIC [14]3 years ago
8 0

Answer:

You should receive 286.0821056 US dollars

Step-by-step explanation:

* Lets explain how to solve the problem

- The exchange rate is USD/EURO 0.6991

- That means 1 USD = 0.6991 EURO

- You have 200 EURO

- You want to convert them to US dollars

∵ 1 dollars = 0.6991 euro

       USD  :  EURO

           1     :  0.6991

           x     :   200

∴ \frac{1}{0.6991}=\frac{x}{200}

- By using cross multiplication

∴ 0.6991 x = 200

- Divide both sides by 0.6991

∴ x = 286.0821056

∵ x represents the amount of US dollars

∴ <em>You should receive 286.0821056 US dollars</em>

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The sum of two integers is 54 and the difference is 10. Fin the integers
Setler [38]

Answer:x + y = 54

x - y = 10

Add them to get: 2x = 64

x = 32

and plugging in x = 32 to either equation: y = 22

Ans: the numbers are 22 and 32

Step-by-step explanation:

4 0
4 years ago
If a=mg-kv2/m,find,correct to the nearest whole number the value of v when a=2.8,m=12,g=9.8 and k=8/3
Cerrena [4.2K]

Answer:

v = 23

Step-by-step explanation:

Formatting the question gives;

a = mg - kv² / m

Make v subject of the formula as follows;

(i) Multiply both sides by m

ma = m²g - kv²

(ii) Collect like terms

kv² = m²g - ma

(iii) Divide through by k

v² = (m²g - ma) / k

(iv) Take the square root of both sides

v = √ [(m²g - ma) / k]            --------------(ii)

From the question:

a = 2.8

m = 12

g = 9.8

k = 8/3

Substitute these values into equation (i) as follows;

v = √ [(12²(9.8) - 12(2.8)) / (8/3)]

v = √ [(1411.2 - 33.6) / (8/3)]

v = √ [1377.6 / (8/3)]

v = √ [1377.6 x (3/8)]

v = √ [1377.6 x 3 / 8)]

v = √ [516.6]

v = 22.73

v = 23 [to the nearest whole number]

Therefore v = 23 to the nearest whole number    

3 0
4 years ago
Regina wrote an integer The opposite of her integer is -18
My name is Ann [436]

Answer: C

Step-by-step explanation: The opposite of a positive integer (18) is -18

Which also means its value is 18

Hope this helps!

4 0
3 years ago
2) A total of $27,000 was invested; part of it at 10% and part of it at 12%. The total yield was $2990. How much was invested at
Vladimir79 [104]

A total of $27,000 was invested; part of it at 10% and part of it at 12%. The total yield was $2990. How much was invested at each rate?​

Let

x -----> amount invested at 10%

(27,000-x) -----> amount invested at 12%

we have that

0.10(x)+0.12(27,000-x)=2990 ------> equation A

solve for x

0.10x+3,240-0.12x=2,990

0.12x-0.10x=3,240-2,990

0.02x=250

x=$12,500

so

27,000-x=27,000-12,500=$14,500

therefore

amount invested at 10% ----> $12,500

amount invested at 12% -----> $14,500

5 0
1 year ago
<img src="https://tex.z-dn.net/?f=%5Chuge%5Csf%5Cunderline%7BQuestion%7D" id="TexFormula1" title="\huge\sf\underline{Question}"
vekshin1

{\qquad\quad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

\qquad \sf  \dashrightarrow \:  {x}^{2}  +  \cfrac{1}{ {x}^{2} }  = 34

[ add 2 on both sides ]

\qquad \sf  \dashrightarrow \:  {x}^{2}  +  \cfrac{1}{ {x}^{2} } + 2  = 34 + 2

[ form identity : a² + b² + 2ab ]

\qquad \sf  \dashrightarrow \:  {(x)}^{2}  +  { \bigg(\cfrac{1}{ {x}^{} } \bigg) }^{2}  + 2 \sdot(x)  \sdot  \bigg(\cfrac{1}{x} \bigg)  = 36

[ a² + b² + 2ab = (a + b)² ]

\qquad \sf  \dashrightarrow \: {\bigg (x  +  \cfrac{1}{x}  \bigg) }^{2}  = 36

\qquad \sf  \dashrightarrow \: {\bigg (x  +  \cfrac{1}{x}  \bigg) }^{}  =  \sqrt{ 36}

\qquad \sf  \dashrightarrow \: x  +  \cfrac{1}{x}    =   \pm 6

so, the value of required expression is 6

[usually positive value is considered, but if asked the value can be either positive or negative]

8 0
2 years ago
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