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2 years ago

$32.00for a 14 2/9 km taxi ride. What is the cost per kilometer

1 answer:

4 0

$\begin{array}{ccll} \$&km\\ \cline{1-2} 32&14\frac{2}{9}\\[1em] x&1 \end{array}\implies \cfrac{32}{x}=\cfrac{14\frac{2}{9}}{1}\implies \cfrac{32}{x}=14\frac{2}{9}\implies \cfrac{32}{x}=\cfrac{14\cdot 9+2}{9} \\\\\\ \cfrac{32}{x}=\cfrac{128}{9}\implies 288=128x\implies \cfrac{288}{128}=x\implies \stackrel{~\hfill \textit{2 bucks and 25 cents}}{\cfrac{9}{4}=x\implies 2\frac{1}{4}}=x$

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3w + 9x - 14y + 3w + 2x + 5y

podryga [215]

They are all equal to 6w+11x-9y

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2 years ago

Write the first five terms of the sequence defined by the recursive formula

Arada [10]

Answer:

The second option is the correct answer

The sequence is : 0, -1, -6, -31, -156

Step-by-step explanation:

It is given that,

The recursive formula , an = 5a(n-1) - 1 and a1 = 0

To find a2, a3, a4, a5

a2 = 5a1 -1 = 5x0 - 1 = -1

a3 = 5a2 - 1 = (5x -1 ) - 1 = - 5 - 1 = -6

a4 = 5a3 - 1 =(5x -6) - 1 = -30 - 1= -31

a5 = 5a4 - 1 = (5 x -31 ) - 1 = -155 -1 = -156

Therefore the resulting sequence is

0, -1, -6, -31 ,-156

6 0

3 years ago

Read 2 more answers

create a linear function f(x), whose graph has the given slope that meets the given condition. slope of -7, f(-5)=2

sergejj [24]

Our goal is to fit the given information into the slope-intercept form.
y=mx+b

We can place the slope in 'm.'
y= -7x+b

Then, input the values for the x and y.
2= -7(-5)+b
2=35+b
b=2-35
b= -33

'b' is the intercept, so now that we know that, we can plug in all the values and find our final equation.

y= -7x -33

8 0

3 years ago

Elliot put 7 cups of tea into the pitcher shown. How many more cups of tea does he need to fill the pitcher?

sukhopar [10]

Answer: The Answer would be 9.

Step-by-step explanation:

Since there is only 7 and the empty space is 2 cups, The answer would be 9. 7 + 2 = 9.

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2 years ago

Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compoun

tamaranim1 [39]

Answer:

A = $35,198.32

Step-by-step explanation:

Use the formula to calculate compound interest:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can combine the formulas into:

$A = P(1+\frac{r}{c})^{tc}$

"c" is the compounding periods in a year. (quarterly = 4)

We know:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

Substitute the information in the formula.

$A = P(1+\frac{r}{c})^{tc}$

$A = 8000(1+\frac{0.1}{4})^{15*4}$ Solve "i" and "n"

$A = 8000(1+0.025)^{60}$ Solve inside the brackets

$A = 8000(1.025)^{60}$ Do the exponent before multiplying by 8000

A = 35198.318 Exact answer

A ≈ 35198.32 Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

5 0

3 years ago