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2 years ago

The sum of two integers is 61 and their difference is 1. Find the integers.

Mathematics

1 answer:

musickatia [10]2 years ago

7 0

We can find this integer using a system of equations. The first thing we look at is the first sentence.

Let's call X The first integer,

Let's call Y the second integer.

So, X+Y=61 and X-Y= 1

Using Substituion on the second equation, we get

X=Y+1

(Now we plug in Y+1 into the second equation for X)

So,

(Y+1)+Y=61

2Y=60

Y=30

So, one of the integers is 30.

Now to find the second, we go back to

X=Y+1

X=30+1

X=31.

So, the integers are 31 and 30.

Hope this helps!

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UNA POBLACION DE CIERTA CIUDAD EN EL AÑO 2000 ERA DE 250,000 HABITANTES CON UNA TASA DE CRECIMIENTO RELATIVO DEL 2% , DETERMINA

Fofino [41]

Answer:

La población que se espera para el 2012, es 317,060

Step-by-step explanation:

Si la población tiene un crecimiento relativo del 2%, entonces cada año, la población es un 2% más grande que el año anterior.

Definamos P(t) = población después de t años

Entonces, si al año t = 0 (que corresponde con el año 2000) la población es A

P(0) = A

Un año después, en t = 1, la población incrementa en un 2%

P(1) = A + (2%/100%)*A = A + (0.02)*A = A*(1.02)

Otro año después, en t = 2, la población incrementa un 2% de vuelta.

P(2) = A*(1.02) + (2%/100%)*A(1.02) = A*(1.02) + 0.02*A*(1.02)

= A*(1.02)*(1.02) = A*(1.02)^2

Ya podemos notar un patrón, la población en el año t va a ser:

P(t) = A*(1.02)^t

Sabemos que en t = 0 (el año 2000) la población es 250,000

Entonces A = 250,000

P(t) = 250,000*(1.02)^t

Ahora queremos calcular la población en el año 2012

entonces si t = 0 es el 2000

2012 esta representado con t = 12

Reemplazando eso en la ecuación, obtenemos:

P(12) = 250,000*(1.02)^12 = 317,060.4

Como esto es una población tenemos que redondearlo al próximo número entero, como el primer digito después del punto es 4, redondeamos para abajo.

Entonces la población que se espera para el 2012 es: 317,060

5 0

2 years ago

Davis is buying a new car for $21,349.00.He plans to make a down payment of $3,000.00.If he's to make monthly payments of $352 f

nekit [7.7K]

He actually borrowed P=21349-3000=18349 (present value)
Assume the monthly interest is i.
then future value due to loan:
F1=P(1+i)^n=18349(1+i)^(5*12)=18349(1+i)^60
future value from monthly payment of A=352
F2=A((1+i)^n-1)/i=352((1+i)^60-1)/i
Since F1=F2 for the same loan, we have
18349(1+i)^60=352((1+i)^60-1)/i
Simplify notation by defining R=1+i, then
18349(R^60)-352(R^60-1)/(R-1)=0
Simplify further by multiplication by (R-1)
f(R)=18349*R^60*(R-1)-352(R^60-1)=0
Solve for R by trial and error, or by iteration to get R=1.004732
The APR is therefore
12*(1.004732-1)=0.056784, or 5.678% approx.

8 0

2 years ago

A parallelogram has sides of length 19 mm, 19 mm, and 7 mm. What is the length of the fourth side of the parallelogram? Enter yo

liberstina [14]

Answer:

7mm

Step-by-step explanation:

A parallelogram has 2 sets of equal sides, so if one side is 7mm, then the opposite side is too.

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2 years ago

Complete the pairs of corresponding parts if AABD = AEFC. B

Anuta_ua [19.1K]

Answer:

see explanation

Step-by-step explanation:

since the triangles are congruent, then corresponding angles are congruent.

∠ B = ∠ F

∠ FCE ≅ ∠ BDA

∠ EFC ≅ ∠ ABD

∠ FEC ≅ ∠ BAD

note that the order of letters in Δ ABD follows the same order as those in Δ BDA

5 0

1 year ago

Answer if you only know

salantis [7]

⇒ Based on the given rules of "Fire-Water-Sponge," outcomes 1, 5, and 8 are outcomes where you lose.

Therefore, 1,5, and 8 are the subset of outcomes where you lose, and we now can say that the statements "The subset consists of all of the outcomes where your friend wins" and "The subset consists of all of the outcomes where you do not win, and there is not a tie" accurately describe the subset.


Furthermore, because every subset outcome involves you losing, the statements "The subset consists of all of the outcomes where you win" and "The subset consists of all of the outcomes where there is a tie" do not accurately describe the subset.

$\star$ The statements that accurately describe the given subset of the sample space are:

$\star$ The subset consists of all of the outcomes where your friend wins.

 $\star$ The subset consists of all of the outcomes where you do not win and there is not a tie.

6 0

2 years ago

Read 2 more answers