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3 years ago

-5-(15Y-1)=2(7Y-16)=Y What does Y equal? Show work

Mathematics

1 answer:

iren [92.7K]3 years ago

8 0

-5-(15Y-1) = 2(7Y-16)

-5-15Y+1 = 14Y-32

32-4 = 19Y

Y = 28/19

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Calculate annually compounded interest

Hunter-Best [27]

Answer:

$2,851.80

Step-by-step explanation:

Lets use the compound interest formula to solve:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 1.1% into a decimal:

1.1% -> $\frac{1.1}{100}$ -> 0.011

Next, plug the values into the equation:

$A=2,700(1+\frac{0.011}{1})^{1(5)}$

$A=2,851.80$

She will have $2,851.80 after 5 years.

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3 years ago

What would be A' after I dilation using a scale factor of 1/2

noname [10]

Answer:

A) (-5,0)

Step-by-step explanation:

B) (-2, 4)

C) (-2, -3)

Hope this helped!

8 0

3 years ago

Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5

Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

$\boxed{ \mathsf{ \red{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) }}}$

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is (0, -1.5) which lies on the y axis(the point where the dotted line touches the y axis)

other point is (2.5, 0) and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

$\mathsf{\implies y - ( - 1.5) = \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}$

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

$\mathsf{\implies (y + 1.5) = \frac{0 + 1.5}{2.5 } (x )}$

$\mathsf{\implies y + 1.5 = \frac{ 1.5}{2.5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ 3}{5 } x }$

multiplying both sides by 5

$\mathsf{5y + 7.5 = 3x}$

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

replacing x and y with 0

$\mathsf{\implies5(0) + 7.5 = 3(0)}$

$\mathsf{\implies0 + 7.5 = 0}$

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

$\mathsf{\implies7.5 > 0}$

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

$\mathsf{5y + 7.5 > 3x}$

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

that is the last option

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3 years ago

1 pound of apples for $2.15 or 3 pounds of apples for $5.76

ollegr [7]

Answer:$7.91

Step-by-step explanation:add 2.15+5.76=7.91

7 0

3 years ago

TIME RE

tester [92]

Answer:

see explanation

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 4, 7 ], thus

z = $\frac{g(7)-g(4)}{7-4}$

4 0

3 years ago