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2 years ago

After a rotation, A(-3,4) maps to A/4, 3), B(4.-5) maps to BY-5,-4), and C(1,6) maps to C(6.-1). Which rule

Mathematics

1 answer:

sineoko [7]2 years ago

6 0

Answer:

3rd option

Step-by-step explanation:

Under a rotation about the origin of 270°

a point (x, y ) → (y, - x ) , then

A (- 3, 4 ) → (4, - 3 )

B (4, - 5 ) → (- 5, - 4 )

C (1, 6 ) → (6, - 1 )

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Assume ABC Company deposits $90,000 with First National Bank in an account earning interest at 6% per annum, compounded semi-ann

maw [93]

Answer:

Step-by-step explanation:

I'm goig to assume that the formula we need here is the following:

$A(t)=P(1+\frac{r}{n})^{(n)(t)$

where A(t) is the amount in the account after the compounding is done, n is the number of times per year the compounding occurs, r is the rate in decimal form, and t is the time in years. Filling in accordingly,

$A(t)=90000(1+\frac{.06}{2})^{(2)(5)}$ and simplifying a bit,

$A(t)=90000(1.03)^{10}$ and simplifying a bit more,

A(t) = 90000(1.343916379) so

the amount in the account after 5 years is

A(t) = 120,952.47

5 0

3 years ago

What statement is true?

givi [52]

Answer:

$\frac{18}{32}>\frac{16}{32}$

Step-by-step explanation:

We need to find which statements are true.

Solution to find the same we will solve each statement and will conclude the same.

1. $\frac{14}{21}>\frac{17}{24}$

Now On solving we get;

$\frac{14}{21} = 0.66$

$\frac{17}{24}=0.70$

So we can see that 0.70 > 0.66

Hence The given statement is False.

2. $\frac{18}{32}>\frac{16}{32}$

Now On solving we get;

$\frac{18}{32}=0.5625$

$\frac{16}{32}= 0.5$

So we can see that 0.5625 > 0.5

Hence The given statement is True.

3. $\frac{20}{15}$

Now On solving we get;

$\frac{20}{15} = 1.33$

$\frac{28}{23}=1.2$

So we can see that 1.33 > 1.2

Hence The given statement is False.

4. $\frac{29}{35}$

Now On solving we get;

$\frac{29}{35}= 0.82$

$\frac{20}{30}= 0.66$

So we can see that 0.82 > 0.66

Hence The given statement is False.

7 0

3 years ago

What is 3x3x8x<br><br> help it’s so hard pls

Vesna [10]

72 if your needing to times them

8 0

3 years ago

What is the speed of a car traveling north, 100 meters in 25 seconds?

Marat540 [252]

using the conversion factor the speed of the car is 44.74 miles/hr

6 0

3 years ago

Please help me and If your answer is wrong or not appropreat I will report it

arsen [322]

Answer:

972 x^16 y^24

Step-by-step explanation:

Simplify the following:

(-2 x^3 y^7)^2 (3 x^2 y^2)^5

Multiply each exponent in -2 x^3 y^7 by 2:

(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5

2×7 = 14:

(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5

2×3 = 6:

(-2)^2 x^6 y^14 (3 x^2 y^2)^5

(-2)^2 = 4:

4 x^6 y^14 (3 x^2 y^2)^5

Multiply each exponent in 3 x^2 y^2 by 5:

4 x^6 y^14×3^5 x^(5×2) y^(5×2)

5×2 = 10:

4×3^5 x^6 y^14 x^(5×2) y^10

5×2 = 10:

4×3^5 x^6 y^14 x^10 y^10

3^5 = 3×3^4 = 3 (3^2)^2:

4×3 (3^2)^2 x^6 y^14 x^10 y^10

3^2 = 9:

4×3×9^2 x^6 y^14 x^10 y^10

9^2 = 81:

4×3×81 x^6 y^14 x^10 y^10

3×81 = 243:

4×243 x^6 y^14 x^10 y^10

4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:

4×243 x^(6 + 10) y^(14 + 10)

14 + 10 = 24:

4×243 x^(6 + 10) y^24

6 + 10 = 16:

4×243 x^16 y^24

4×243 = 972:

Answer: 972 x^16 y^24

8 0

2 years ago

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