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2 years ago

Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below:

Mathematics

1 answer:

LenKa [72]2 years ago

7 0

Answer:

(a) Reflection across the y-axis, followed by translation 10 units down

Step-by-step explanation:

Figure 2 is not a reflection across the origin of Figure 1, so neither of the double reflections will map one to the other.

Reflection across the y-axis will put the bottom point at (5, 3). The bottom point on Figure 2 is at (5, -7), so has been translated down by 3-(-7) = 10 units.

Figure 1 is mapped to Figure 2 by reflection over the y-axis and translation down 10 units.

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Gavin has $7,500 to invest. He is considering two investment options. Option A pays 4% simple interest. Option B pays 3.15% inte

Leviafan [203]

Solution:

Principal =P= $ 7,500

Option A→(Simple interest)

Rate of interest= R=4%

Time( $T_{1}$ )=4 years

Time( $T_{2}$ )=6 years

Amount= Principal + Interest(Simple or compound interest)

Formula for Simple interest

$S.I=\frac{P\times R\times T}{100}$

$S.I_{1}=\frac{7500 *4*4}{100}=1200\\\\ S.I_{2}=\frac{7500 *4*6}{100}=1800$

Total amount after 4 years when interest is simple= 7500 +1200= $ 8700

Total amount after 6 years when interest is simple= 7500 +1800= $ 9300

Option B

Formula for amount(A) when interest is 3.15% compounded annually.

$A=P*(1+\frac{R}{100})^t$

$A_{4}=7500*(1+\frac{3.15}{100})^4\\\\ A_{4}=7500*(\frac{103.15}{100})^4\\\\ A_{4}=7500*(1.0315)^4\\\\ A_{4}=7500*1.1320\\\\ A_{4}=8490.60$

$A_{6}=7500*(1+\frac{3.15}{100})^6\\\\ A_{6}=7500*(\frac{103.15}{100})^6\\\\ A_{6}=7500*(1.0315)^6\\\\ A_{6}=7500*1.2045\\\\ A_{6}=9033.9286$

Total amount after 4 years when interest is compounded annually=$ 8491 (approx)

Total amount after 6 years when interest is compounded annually=$ 9034(approx)

4 0

2 years ago

Read 2 more answers

PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!<br> Solve the equation<br> b/4 +2 = -1<br> what is b?

BARSIC [14]

The answer is b=-12

4 0

2 years ago

Please help asap! this isn’t too hard but i am still confused.

juin [17]

Answer:

The consecutive even numbers are 28, 30, 32, 34

Step-by-step explanation:

let the four consecutive even numbers be: b d f h,

such that:

b=b, d=b+2, f=b+4, h=b+6.

Therefore, 2(b+b+2)=3(b+6)+14

b=28,

d=(b+2)=30

f=(b+4)=32

h=(b+6)=34

7 0

3 years ago

Read 2 more answers

The amount of time it takes an ice cube to melt varies inversely to the air temperature. At 30 degrees Celsius, the ice will mel

Anon25 [30]

Answer:

hope this helps A block of ice melts in 2.5 hours when the temperature is 54 degrees.

Step-by-step explanation:therefore you can increase 2.5 and decrease 54 to whatever number you need

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2 years ago

Isabel began training for a marathon by running 63 miles during her first week. Each week, she increased the distance she ran by

Ulleksa [173]

Answer:

10% of 63 is 6.3 so 63+6.3=69.3

Step-by-step explanation:

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2 years ago