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3 years ago

For each table of values, select weather the table represents a linear or exponential relationship

Mathematics

1 answer:

jolli1 [7]3 years ago

8 0

Linear would be if the change between the x and y's are similar:

Function A:

9.252 - 6.083 = 3.169

14.07 - 9.252 = 4.818

21.4 - 14.07 = 7.33

The differences are different so it is exponential.

Function B

14-7 = 7

21 - 14 = 7

28 - 21 = 7

The differences are the same so this is linear.

Function C

4-16 = -12

1-4 = -3

0.25 - 1 = -0.75

The differences are different so this is exponential.

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Please help!!!

svetoff [14.1K]

Answer:

Step-by-step explanation:

Compound Interest

It's the type of financial calculations that includes the interest of previous periods into the new interests earned by some initial investment or principal P.

If we want to compute the final value FV of a series of n payments R at a fixed compound interest rate i, then

$FV=F_m\cdot R$

Where

$\displaystyle F_m=\frac{(1+i)^n-1}{i}$

The question provides us the following data

i=10% compounded twice a year

n=3 1/2 years

FV=15,000

We need to convert the number of periods and the interest rate to a semester base:

$\displaystyle i=\frac{10}{100\cdot 2}=0.05$

$n=3.5\cdot 2= 7\ semesters$

Let's calculate Fm

$\displaystyle F_m=\frac{(1+0.05)^7-1}{0.05}=8.142$

Knowing that

$FV=F_m\cdot R$

Solving for R

$\displaystyle R=\frac{FV}{F_m}=\frac{15,000}{8.142}=1,842.30$

Sara should deposit $1,842.30 twice a year to have the down payment for her own restaurant

3 0

3 years ago

What are the coordinates of D’ when the quadrilateral is reflected across the line y = x?

Butoxors [25]

Answer:

(1, 3)

Step-by-step explanation:

If quadrilateral ABCD is reflected across the line y = x, then the x- and y-coordinates get reversed. Since the coordinates of point D are (3, 1), then the coordinates of point D' are (1, 3).

8 0

3 years ago

Read 2 more answers

Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right e

DENIUS [597]

Hello,

Reminders:
$$\sum_{i=1}^{n} i= \dfrac{n(n+1)}{2}$


$
$$ \sum_{i=1}^{n} i^2= \dfrac{n(n+1)}{2}$

$
$$ \sum_{i=1}^{n} i^3= \dfrac{n^2(n+1)^2}{4} $
$

$n=6\\
x_{0}=0\\
x_{n}=3\\
\Delta= \dfrac{x_n-x_0}{n}=0.5\\

$
$x_{i} =0+\Delta*i= \frac{i}{2}$

$\sum_{i=1}^{n}\ \Delta*f(x_{i})=\sum_{i=1}^{6}\ \dfrac{i^3/8-6i}{2}$
$$= \dfrac{1}{2}\sum_{i=1}^{6} (\frac{i^3}{8} -6i)=\dfrac{1}{16}*\frac{(6*7)^2}{4}- \frac{9*7}{2}= -3.9575$

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