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3 years ago

Ratio as a fraction 8 to 14

1 answer:

3 0

8/14, which can be reduced to 4/7 by dividing 8 by 2 and 14 by 2

So, your answer is 4/7

Hope I helped!

Let me know if you need anything else!

~ Zoe

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Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years

mylen [45]

Answer:

The value of annuity is $P_v = \$ 7929.9$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 250$

The interest rate is $r = 5\% = 0.05$

Frequency at which it occurs in a year is n = 4 (quarterly )

The number of years is $t = 10 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]$

$P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]$

$P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ]$

$P_v = \$ 7929.9$

8 0

3 years ago

2, 344 a whole number, rational number, or integer

ohaa [14]

Answer:

2,334is a rational number because it can be expressed as the quotient of two integers: 2,344÷ 1

5 0

3 years ago

Read 2 more answers

Which translation shifts the graph of f(x)=3x+3 onto g(x)=3x-3

WARRIOR [948]

The translation that flips sides

5 0

3 years ago

(03.01 MC)

vekshin1

Answer:

Option (1) will be the answer.

Step-by-step explanation:

Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.

Slope of the line f,

$m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m_{1}=\frac{2-0}{0-2}$

$m_{1}=-1$

After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,

Rule for dilation,

(x, y) → (kx, ky)

Where k = scale factor

A(0, 2) → A'(0, 4)

B(2, 0) → B'(4, 0)

Slope of line f',

$m_{2}=\frac{0-4}{4-0}$

$m_{2}=-1$

Since, $m_{1}=m_{2}=-1$

Therefore, both the lines f and f' will be parallel.

Option (1) will be the answer.

6 0

3 years ago

Is one half of a number y is less than 20?

timama [110]

Divide two from each side and get Y=10

y=10

3 0

3 years ago