14.2 as a mixed number.

Mathematics

2 answers:

krek1111 [17]3 years ago

7 0

I think its 14 1/5 (?)

pantera1 [17]3 years ago

6 0

Answer:

14 1/5

Step-by-step explanation:

okay so first we will convert the decimal to fraction

14.2= 142/10= 71/5

now we convert improper fraction to mixed fraction:

71/5= long division method

5 |71

-5

quotient=14 remainder=1

now the remainder is gonna be as the numerator, the number which we divide the other number (5) would be denominator and the quotient is gonna be on the side

so...... 14 1/5

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Find the amount of each payment to be made into a sinking fund which earns 9% compounded quarterly and produces $43 comma 000

Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : $A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]$

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = $A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]$

$43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})$

$43000=A(\frac{(1.0225)^{14}-1}{0.0225})$

43000=A( $\frac{0.365483427}{0.0225})$

43,000 = A(16.243708)

A = $\frac{43000}{16.243708}$

A = $2,647.17883 ≈ $2647.18

5 0

3 years ago

Help me please i dont understand

ELEN [110]

Answer:

6/5 or 1.2, they're the same value

Step-by-step explanation:

When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: $\frac{y_2-y_1}{x_2-x_1}$ which is essentially $\frac{rise}{run}$ . The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: $\frac{4- (-2)}{2- (-3)} = \frac{6}{5}$ that's the rate of change