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sweet [91]
3 years ago
12

he Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows t

hat USD are stated to the nearest hundredth of a dollar, they used the conversion ratio. Will this give the Ruiz family the correct exchange? Explain.
Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

1.35

Step-by-step explanation:

the hundreth place is 2 places after the decimal and since the "2" after the "5" cant be rounded up the answer is 1.35

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Find the equation of the line with slope m=1/4 that contains the point (4,5).
sladkih [1.3K]

Answer: x - 4y = -16

Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.

<h2>y  -  y₁  =  m(x  -  x₁)</h2><h2 />

The given point, (4, 5), represents (x₁, y₁).

So if we plug all our given information into the formula,

including our slope of 1/4, we get y - 5 = 1/4(x - 4).

To put our equation in standard form, first, distribute

the 1/4 through the parentheses.

So we get y - 5 = 1/4x - 1.

Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.

That gives us 4y - 20 = x - 4.

Now moves the -20 to the right side by adding 20 to both sides.

So we get 4y = x + 16.

Now subtract x from both sides to get -x + 4y = 16.

Finally, our coefficient on our x term must be positive so we

divide both sides by -1 to get x - 4y = -16.

7 0
3 years ago
Triangles O N M and S R Q are shown. Angles O N M and S R Q are congruent. The length of side N M is 10 and the length of side S
valina [46]

Answer:

Option C.

Step-by-step explanation:

In △ONM and △SRQ,

\angle ONM\cong \angle SRQ

NM=10

SR=20

NO=8

QR=x

We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.

According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.

It is given that \angle ONM\cong \angle SRQ. So, both triangles are similar by SAS if

\dfrac{NO}{NM}=\dfrac{SR}{QR}

Substitute the given values.

\dfrac{8}{10}=\dfrac{20}{x}

8\times x=20\times 10

8x=200

Divide both sides by 8.

x=\dfrac{200}{8}

x=25

Therefore, the correct option is C.

7 0
3 years ago
Read 2 more answers
Select the correct answer. Lisa collected leaves from different trees for a science project. Every day for a week (7 days), she
marusya05 [52]

Answer:

Lisa collected 49 leaves (C.)

7 0
3 years ago
Help plssss ASAP brainliest
____ [38]

Answer:

Step-by-step explanation:

x and 6

6^2 is 36

x^2 is still x^2

now we need to find the square root of their sum

square root of ( 36 + x^2 )

I'm not that sure about this one i think it might be more simplified

8 0
2 years ago
A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,
Darina [25.2K]

Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

I=C(1+\frac{r}{n})^{nt}-C

where

<em>C = Amount of the credit granted </em>

<em>r = nominal interest per year </em>

<em>n = compounding frequency </em>

<em>t = the length of time the interest is applied. In this case, 1 year. </em>

In the special case the interest rate is compounded continuously, the interest is given by

I=Ce^{rt}-C

(a)  Annually

I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)

The effective annual rate is 18.6%

(b) Monthly

<em>There are 12 months in a year </em>

I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)

The effective annual rate is 20.27%

(c) Daily

<em>There are 365 days in a year </em>

I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)

The effective annual rate is 20.43%

(d)  Continuously

I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)

The effective annual rate is 20.44%

3 0
3 years ago
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