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MArishka [77]
3 years ago
13

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the Uni

ted States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have?
Mathematics
2 answers:
Anettt [7]3 years ago
5 0
Since the exchange rate of euro to USD right now is 1:1.11, therefore he spent 150x1.11=166.5 USD. Therefore, he has 250-166.5=83.5 USD left(assuming the exchange rate is the same, 1.17).
Lesechka [4]3 years ago
4 0

Answer:

Phelan have 80.5 US dollars.

Step-by-step explanation:

The current exchange rate is

1 \text{ Euro }=1.13 \text{ US dollars}

Let as assume that this exchange rate remains constant.

In initial stage Phelan has 250 US.

He spent 150 euros, it means he spent

150\times 1.13=169.5\text{ US dollars}

The remaining amount in US dollars is

250-169.5=80.5

Therefore, Phelan have 80.5 US dollars.

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Estimate the perimeter and area of the shaded figure to the nearest tenth.
Maru [420]

Answer:

Perimeter = 18.7 units

Area = 13.5 units²

Step-by-step explanation:

Perimeter of ADEC = AD + DE + EC + AC

Length of AD = 3 units

By applying Pythagoras theorem in ΔDBE,

DE² = DB² + BE²

DE² = 3² + 3²

DE = √18

DE = 4.24 units

Length of EC = 3 units

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

AC² = 6² + 6²

AC = √72

AC = 8.49 units

Perimeter of ADEC = 3 + 4.24 + 3 + 8.49

                                 = 18.73 units

                                 ≈ 18.7 units

Area of ADEC = Area of ΔABC - Area of ΔBDE

Area of ΔABC = \frac{1}{2}(AB)(BC)

                       = \frac{1}{2}(6)(6)

                       = 18 units²

Area of ΔBDE = \frac{1}{2}(BD)(BE)

                       = \frac{1}{2}(3)(3)

                       = 4.5 units²

Area of ADEC = 18 - 4.5

                        = 13.5 units²

6 0
3 years ago
Compute the standard deviation of the following set of data to the nearest whole number:
Klio2033 [76]

Answer:

Step-by-step explanation:

The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.

The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get

\bar{x}=14 and use this to find the variance in the formula:

s^2=\frac{\sum(x_i-\bar{x})^2}{n} it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:

s^2=\frac{(8-14)^2+(12-14)^2+(15-14)^2+(17-14)^2+(18-14)^2}{5}

Squaring this ensures us that we don't end up with zero, which would be useless.

s^2=\frac{36+4+1+9+16}{5} so

s^2=13.2 which means that the standard deviation is

s = 3.633

(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)

3 0
3 years ago
(a) One ball is selected at random from the bag.
lana [24]

Answer:

a) The probability is 1/5

bi) The probability each ball is even will be 2/5

bii) The probability the sum of the numbers on the ball is not more than 10 is 16/25

(that's what I think it is)

3 0
3 years ago
How many solutions does the equation have?
timurjin [86]
4(2x+3)=2(3x-4)\\
8x+12=6x-8\\
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7 0
3 years ago
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Given the area of a square is 225 ft.² what is the length of each side
Vinvika [58]

Answer:

15ft

Step-by-step explanation:

the square root of 225 is 15, so the answer is 15ft

15×15=225

8 0
3 years ago
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