April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal,
plus $60 simple interest. What was the interest rate? ***HINT*** Remember, you must first
find out how much interest is paid in 1 YEAR!*
(2 Points)

Help please

Answer:

D.20

Step-by-step explanation:

4*5=20

Answer:

Yes, he got the correct quotient

Step-by-step explanation:

1.5 divided by 1/3 is 4.5, and 4.5 is equal to 4 1/2

Answer:

Sage did it right.

your work:

1 1/2 ÷ 1/3

3/2 ÷ 1/3

3/2 × 3/1

9/2

4 1/2

Step-by-step explanation:

first convert 1 1/2 into an improper fraction:

multiply the 2 and 1, you get 2, than add that to the current numerator to get a new one. You get 3/2 as your improper fraction

you now have: 3/2 ÷ 1/3

then turn the division sign into a multiplication sign by flipping the divisor:

you get 3/2 × 3/1

solve this:

multiply the numerators together, you get 9 as a new numerator

multiply your denominators, you get 2 as your new denominator

so now you have 9/2

next turn this into a mixed fraction, you get 4 1/2

so Sage did it right.

Answer:

The answer is switched.

Step-by-step explanation:

Given that John's bank account is $10 which is a constant (fixed) amount and he make $120 per day.

In the equation, x act as number of days so if you wants to find how much he earn after few days, you have to multiply $120 with the number of days.

The correct equation will be y = 120x + 10, 120 is the slope value and 10 is the y-intercept.

Answer:

1164 are the total number of miles he rode in 6 months.

Step-by-step explanation:

It means:

Thus,

Thus, the number of miles he rode in 6 months would be = 194×6 = 1164 miles

Therefore, 1164 are the total number of miles he rode in 6 months.

Answer:

80 heart stickers does a pack of 140 stickers

Step-by-step explanation:

The number of heart stickers in a pack of 140 stickers is 60.

Given that, a sheet of 28 stickers has star and heart stickers.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, the number of star stickers in a sheet

= 28-16 =12

The ratio of star and heart stickers

= 12:16

= 3:4

Now, 3+4=7

Number of heart stickers = 3/7 ×140

= 60

Therefore, the number of heart stickers in a pack of 140 stickers is 60.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ5

Answer:

f(x)=-[tex]\frac{5}{2}\\[/tex]x+9

Step-by-step explanation:

Use the slope formula and slope intercept formula form y=mx + b to find the equation

Answer:

A

Step-by-step explanation:

took test on edge

Answer:

A

Step-by-step explanation:

Just took the test

Answer:

camilaaaaaaaaaaaaaaa

Answer:

Regan subtracted the exponents: 410 − 5 = 45

Answer:

9

Step-by-step explanation:

we just replace n with 15

A(n) =16 + (N - 1) (-0.5)

      =16 + (15 - 1) (-0.5)

      =16-7.5+0.5

       =9

hope it helps

Answer: 45.65 is incorrect.

Step-by-step explanation: it’s a place value problem; right of the decimal is ones, tens, hundredths, thousandths which is 4 place values so 45.065 shows the correct placement

Answer:

ΔABD is an obtuse triangle

Step-by-step explanation:

The type of a triangle according to its angle measures

In triangle ABD

∵ m∠ABD = 100°

∵ m∠BAD = 50°

→ The sum of the interior angles of a triangle is 180°

∴ m∠ABD + m∠BAD + m∠BDA = 180°

∴ 100 + 50 + m∠BDA = 180

∴ 150 + m∠BDA = 180

→ Subtract 150 from both sides

∴ m∠BDA = 30°

∵ m∠ABD = 100°

∴ ∠ABD is an obtuse angle

∵ m∠BAD = 50° and m∠BDA = 30°

∴ ∠BAD and ∠BDA are acute angles

∵ ΔABD has 1 obtuse angle and 2 acute angles

∴ ΔABD is an obtuse triangle

Answer:

HoW diD yOu KnOw ?? :/

Step-by-step explanation:

:D have a blessed day <3

Answer:

no just trying to see who I can help

Answer:

3 shirts, 6 shorts

Step-by-step explanation:

A total of $264 is spent during shopping on shirts and shorts

Each shirt costs $24

Each shorts cost $32

Therefore the quantity of shirts and shorts bought can be calculated as follows

24× 3= 72

32×6= 192

192+72= 264

Hence 3 shirts and 6 shorts were bought

tan(2A) + sin(2A) = sin(2A)/cos(2A) + sin(2A)

• rewrite tan = sin/cos

… = 1/cos(2A) (sin(2A) + sin(2A) cos(2A))

• expand the functions of 2A using the double angle identities

… = 2/(2 cos²(A) - 1) (sin(A) cos(A) + sin(A) cos(A) (cos²(A) - sin²(A)))

• factor out sin(A) cos(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (1 + cos²(A) - sin²(A))

• simplify the last factor using the Pythagorean identity, 1 - sin²(A) = cos²(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (2 cos²(A))

• rearrange terms in the product

… = 2 sin(A) cos(A) (2 cos²(A))/(2 cos²(A) - 1)

• combine the factors of 2 in the numerator to get 4, and divide through the rightmost product by cos²(A)

… = 4 sin(A) cos(A) / (2 - 1/cos²(A))

• rewrite cos = 1/sec, i.e. sec = 1/cos

… = 4 sin(A) cos(A) / (2 - sec²(A))

• divide through again by cos²(A)

… = (4 sin(A)/cos(A)) / (2/cos²(A) - sec²(A)/cos²(A))

• rewrite sin/cos = tan and 1/cos = sec

… = 4 tan(A) / (2 sec²(A) - sec⁴(A))

• factor out sec²(A) in the denominator

… = 4 tan(A) / (sec²(A) (2 - sec²(A)))

• rewrite using the Pythagorean identity, sec²(A) = 1 + tan²(A)

… = 4 tan(A) / ((1 + tan²(A)) (2 - (1 + tan²(A))))

• simplify

… = 4 tan(A) / ((1 + tan²(A)) (1 - tan²(A)))

• condense the denominator as the difference of squares

… = 4 tan(A) / (1 - tan⁴(A))

(Note that some of these steps are optional or can be done simultaneously)

Answer:

She practiced a total of 64.5 hours

Step-by-step explanation:

Here, we need to know the number of hours practiced on both per day

Mathematically, that will be;

0.75 + 1.4 = 2.15 hours per day

So in 30 days ; the total number of hours will be

30 * 2.15 = 64.5 hours

Answer:

9

Step-by-step explanation:

we know by definition that

[tex]f^{-1}(f(x))=x\\\\f^{-1}(\frac{2x}{3})=x\\\\f^{-1}(x)=ax\\\\f^{-1}(\frac{2x}{3})=a(\frac{2x}{3})=x\\\\f^{-1}(x)=\frac{3x}{2}[/tex]

so now we evaluate

[tex]f^{-1}(6)=\frac{3*6}{2}\\\\=3*3\\\\f^{-1}(6)=9[/tex]

and if we want to do an extra step

[tex]f^{-1}(f(6))=6\\\\f^{-1}(\frac{2*6}{3})=f^{-1}(4)=\frac{3*4}{2}=6[/tex]

which works.

yes

no

no

yes

hope it help!!!

Yes, no, no, yes I believe

Answer:

-3.82

Step-by-step explanation:

You are going up the line of negative numbers so you have to add o.o2 to 3.8 (3.80).

Answer:

The slope is 3

The y-intercept is -2

The linear equation is y = 3x - 2

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ A line passes through points (2, 4) and (6, 16)

∴ x1 = 2 and y1 = 4

∴ x2 = 6 and y2 = 16

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{16-4}{6-2}[/tex] = [tex]\frac{12}{4}[/tex] = 3

∴ m = 3

→ Substitute it in the form of the equation above

∴ y = 3x + b

→ To find b substitute x and y in the equation by the coordinates of

   a point on the line

∵ Point (2, 4) is on the line

∴ x = 2 and y = 4

∵ 4 = 3(2) + b

∴ 4 = 6 + b

→ Subtract 6 from both sides to find b

∵ 4 - 6 = 6 - 6 + b

∴ -2 = b

→ Substitute its value on the equation above

∵ y = 3x + (-2)

∴ y = 3x - 2

→ Let us answer the questions

The slope is 3

The y-intercept is -2

The linear equation is y = 3x - 2

Answer:

The type of function the equation represents is "directly proportional" ⇒ B

Step-by-step explanation:

Let us solve the question using the rules above

∵ The equation of the function is y = -8x

→ Compare it with the two forms above

∵ The equation is in the form of y = kx, where k = -8

∴ The equation represents directly proportional

∴ The type of function the equation represents is "directly proportional"

Answer:

If Susan bought 12 ounces that would equal to .75 pounds

Step-by-step explanation:

Answer:

y=79/73x+644/73

theres the equation, enjoy <3

Step-by-step explanation:

Given expression is x⁴-kx²+4 =0

x−2 is a factor of the given expression.

So, x=2

Substitute in the equation, we get

2⁴-k(2)²+4

⇒16+4k+4=0

⇒4k=−20

⇒k=−5

Answer:

You got it wrong, its the first option

Step-by-step explanation:

Since its not asking for a consectuive EVEN or ODD integer its not

X + X+2 + X+4...

Instead its just the normal way

X + X+1 + X+2 + X+3....

SO thats the correct answer.

Answer:

Step-by-step explanationAl final de esta lección, debes ser capaz de:

Reconocer una relación de variación directa

Encontrar la fórmula de una relación de variación directa

Resolver problemas verbales asociados con variaciones directas

Introducción

x = Horas Trabajadas 0 1 2 3 4

y = Dólares Ganados 0 3 6 9 12

La tabla anterior muestra la relación entre las horas trabajadas y el dinero en dólares, que obtuvo Juan trabajando a razón de $3.00 por hora. En esta tabla, podemos ver que el dinero ganado es igual al producto de las horas trabajadas por 3. Otra manera de decir eso es que la constante de variación o proporción es igual o 3. También se puede observar que cada vez que x aumenta en un 1, la variable y aumenta en 3. Otra manera de decir eso es que la razón de cambio es igual a 3.

En la aplicación de abajo, mueve el botón de la barra “constante de variación” a 3. Observa que los puntos de la gráfica coinciden con los valores en la tabla, y que con cada aumento de 1 en x, la variable y aumenta 3 y que la relación entre las variables es y = 3 × x .

Lo sentimos, pero la GeoGebra Applet no se pudo iniciar. Por favor, asegzrese de que Java 1.4.2 (o posterior) esta instalado y activo en su navegador ( Haga clic aqum para instalar Java ahora )

Cajas de Leche 0 1 2 3 4

Botellas de Leche 0 4 8 12 16

Si cada caja de leche contiene 4 botellas, la tabla anterior muestra la relación entre el número de cajas de leche y el número de botellas que contienen. En esta tabla, podemos ver que el número de botellas de leche se obtiene multiplicando el número de cajas de leche por 4.

En la aplicación de arriba, mueve el botón de la barra constante de variación a 4. Observa que los puntos de la gráfica coinciden con los valores en la tabla, y que con cada aumento de 1 en x, y aumenta 4 y que la relación entre las variables es y = 4 × x.

.

Cantidad de dólares 0 1 2 3 4

Cantidad de galletas que se puede comprar 0 2 4 6 8

Si una galleta cuesta 50 centavos, la tabla anterior muestra la relación entre la cantidad de dólares y la cantidad de galletas que se puede comprar. En esta tabla, podemos ver que la cantidad de galletas se obtiene multiplicando la cantidad de dólares por 2.

En la aplicación de arriba, mueve el botón de la barra constante de variación a 2. Observa que los puntos de la gráfica coinciden con los valores en la tabla, y que con cada aumento de 1 en x, la variable y aumenta en 2 y que la relación entre las variables es y = 2 × x

.

En todas estas relaciones de los ejemplos anteriores, una variable es igual a otra variable multiplicada por una constante distinta de cero. Estas relaciones se conocen como proporciones directas o variaciones directas.

Definición

Dadas dos variables x y y, los enunciados:

y varía directamente como x,

y es directamente proporcional a x y

y es proporcional a x

todos significan que y = kx, para algún número real fijo k.

Al número k se le llama la constante de variación o constante de proporcionalidad. El valor de k también representa la razón de cambio de la relación. Es decir, cada aumento de 1 en x va a corresponder a un aumento de k en y.

Pasos para hallar la Fórmula para Relaciones de Variación Directa

Las relaciones de variación directa tienen la forma y = kx donde x y y son variables y k es una constante distinta de cero. La fórmula para una relación de variación directa se puede hallar mediante los siguientes pasos:

Paso 1: Traducir el enunciado a una fórmula de variación directa.

y es directamente proporcional a x significa

y =k·x

Paso 2: Sustituir las variables conocidas para encontrar k.

Paso 3: Sustituir k y escribir la fórmula.

Ejemplos

Ejemplo 1

u es proporcional a v. Si u = 16 cuando v = 4, escribe la fórmula para la relación entre u y v.

Paso 1: Traducir el enunciado a una fórmula de variación directa.

u es proporcional a v significa

u =k·v

Paso 2: Sustituir valores conocidos para encontrar k.

16 = k· 4

k=164=4

Paso 3: Sustituir k y escribir la fórmula.

u =4v

Conclusión: la fórmula para expresar la relación entre u y v es u =4v

Ejemplo 2

p varía directamente como z. Si p = 210 cuando z = 200, escribe la fórmula para expresar la relación entre p y z .

Paso 1: Traducir el enunciado a una fórmula de variación directa.

p varía directamente como z significa

p = k·z

Paso 2: Sustituir valores conocidos para encontrar k.

210 = k· 200

k=210200=1.05

Paso 3: Sustituir k y escribir la fórmula.

p =1.05z:

Answer:

A, B, D, F On edge!

Step-by-step explanation:

Have a good day! :3

Step-by-step explanation:

2.6% b/c 1820×2.6/100

Answer:

Janet uses less than 4 cups of flour because is less than 4.

Step-by-step explanation:

She is using 3/8 of 4 so less than. Then you use 4 not 1 because there is 4 cups.

Answer:

She uses less than four cups because 3/8 (1.5) is less than 4.

Step-by-step explanation: