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Lostsunrise [7]
3 years ago
11

A student loan needs to be paid off beginning the first year after graduation. Beginning at Year 1, there is $52,000 remaining t

o be paid. The graduate makes regular payments of $8,000 each year. The graph shows the sequence. f(x)=?​
Mathematics
1 answer:
Rom4ik [11]3 years ago
5 0

Answer:

The equation is: f(x) = 52000 - 8000x

Step-by-step explanation:

Given

Initial = 52000

Rate = 8000 each year

Required

Determine the equation of the graph

The equation can be determined using.

Amount = Initial - Rate* Years

We used minus (-) because, the amount reduces as the student pays.

Let

y = Amount

x = Years

So, we have:

y = Initial - Rate * x

Substitute values for Initial and Rate

y = 52000 - 8000 * x

y = 52000 - 8000x

Express as a function:

f(x) = 52000 - 8000x

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Ketch the bounded region enclosed by y=e2x,y=e4xy=e2x,y=e4x and x=1x=1. decide whether to integrate with respect to xx or yy, an
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A) See the attached graph. The purple area appears to be what you want to find.

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3 years ago
Una compañía sabe que si produce "x" unidades mensuales su utilidad "u" se podría calcular con la expresión:
belka [17]

Answer:

Δf(u) /Δx  = 92,8    ( razón de cambio promedio)

Step-by-step explanation:

La expresión de la utilidad de la empresa u(x) en función de la cantidad de unidades producidas "x" es:

u(x) = 0,04*x² + 44*x  -4000

Entonces la razón de cambio promedio en un intervalo (a ; b)  en este caso ( 620 ;  600 ) viene dada por la expresión:

Δf(x)/ Δx  =  [ f(b)  -  f(a) ]/( b - a )

en donde  f(b)  y f(a) se obtienen por sustitución de los valores a y b es decir  600 y 620 respectivamente en la función f(x) = u(x) entonces

Δf(u) /Δx  =  [ u(b)  -  u(a) ]/( b -a )        (1)

u(b) =  0,04*(620)² + 44*(620) - 4000

u(b) = 15376 + 27280 -4000

u(b) = 2656 unidades

u(a)  = 0,04* (600)²  +  44* 600  - 4000

u(a)  = 14400  +  26400  - 4000

u(a) = 800

Sustituyendo esos valores en la ecuación 1

Δf(u) /Δx  =  2656 - 800 / 620 - 600

Δf(u) /Δx  = 92,8

5 0
4 years ago
Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears
Alex

Answer:

Which is the output of the formula =AND(12>6;6>3;3>9)?

A.

TRUE

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Step-by-step explanation:

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Sidana [21]

Answer:

5% compounded quarterly equals (1.0125)^4 -1=0.0509453369140625 or 5.09453369140625 % APR

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Step-by-step explanation:

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