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3 years ago

Tell whether the ordered pair is a solution of the system of equations.

Mathematics

1 answer:

katovenus [111]3 years ago

8 0

Answer:

2x + y = 5

y = 4x – 1

Substitute (2, 1) into system, then:

2x + y = 5 => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)

y = 4x– 1 => 4 x 2 - 1 = 1 => -7 = 1 (not satisfied)

=> Option 3 is correct.

Hope this helps!

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In a certain year the population of a country reached 321 million. The overall birth rate was births per 1000, and the overall

kkurt [141]

Answer:

Then it would stay at 321 million

Step-by-step explanation:

if the birth and death rate is both 1000 then nothing will change. Population wise.

4 0

3 years ago

Nolan has a bond with a 6.1% yield, a bid price of $475, and a face value of $500. What is the original coupon rate of this Bond

Vladimir79 [104]

Answer:

5.8%

Step-by-step explanation:

Current yield = 6.1%

Face value of bond = $500

Market price of bond = $475

Let the original coupon rate be CR

$Current\hspace{2}yield = \frac{Coupon\hspace{2}rate* Bond\hspace{2}face\hspace{2}value}{Market\hspace{2}price}*100$

$6.1 = \frac{CR*500}{475}*100$

Multiply both sides by 475

$6.1 *475 = \frac{CR*500}{475}*100*475$

Cancel out the 475's from the top and bottom of the right side

$6.1 *475 = CR*500*100$

$2897.5 = CR*50000$

Flip the sides

$CR*50000 = 2897.5$

Divide both sides by 5000

$\frac{CR*50000}{50000} = \frac{2897.5}{50000}$

Cancel out 50000 from the top and bottom of the left side

$CR = 0.0579$ %

CR = 0.0579 * 100 [convert decimal into a percentage]

CR = 5.79 %

CR = 5.8% [rounded off to the tenth place]

6 0

3 years ago

Read 2 more answers

Help.... Other question got deleted.

Helen [10]

-2/25 is the slope
x1=4
hope this helps!

7 0

3 years ago

Camilo compró un auto usado en $6,000.000y aceptó pagar $1,000.000 al contado y $1,000.000 al mes con interés del 6% anual sobre

Korolek [52]

Answer:

El pago total que hará Camilo es $6,150,000

Step-by-step explanation:

La cantidad que Camilo compró el auto usado = $6,000,000

La cantidad que Camilo acordó pagar en efectivo = $1,000,000

La cantidad que pagará Camilo en un mes = $1,000,000

El interés sobre el saldo impago = 6%

Por lo tanto, tenemos;

El interés sobre el saldo en un año = 6/100 × 5,000,000 = 300,000

El interés por mes = 300.000 / 12 = 25.000

La cantidad de meses que Camilo paga el saldo de 5,000,000 a 1,000,000 por mes = 5,000,000 / 1,000,000 mes = 5 meses

El momento en que paga el saldo restante = El sexto mes

La cantidad de interés pagado en los seis meses = 25,000 × 6 = 150,000

El pago total que hará Camilo, A = 6,000,000 + 150,000 = 6,150,000

El pago total que hará Camilo, A = $6,150,000

8 0

3 years ago

Consider the line 2x+3y=-7

7nadin3 [17]

Good evening ,

______________

Look at the photo below for the answer.

7 0

3 years ago