Macey already saved $25 and then saved an additional $15 each week from her
paycheck from working at a hardware store. How many weeks did Macey have to
work in order to save a total of $485?

Answer:

-16

Step-by-step explanation:

-8 X positive 2  

Answer:

-16

Step-by-step explanation:

When you multiply a negative number with a positive number, the result would be a negative number.

-8 × -2 = -16

Answer:

it's 50 look at the height and look at the width

Answer:

uhhhhhhh you have to figure out what x is then choose wether it is the other variable a dependent variable, and explanatory variable, or a response variable

Step-by-step explanation:

easy as that

Answer:

y = −1.4x + 7

Step-by-step explanation:

There are 3 steps to find the Equation of the Straight Line

1. Find the slope of the line

2. Put the slope and one point into the "Point-Slope Formula"

3. Simplify

Answer:

[tex]x = \frac{2}{3}n\pi[/tex]

Step-by-step explanation:

Given

[tex]Tanx + Tan2x + Tan3x = Tanx.Tan2x.Tan3x[/tex]

Required

Find x

Equate the given expression to 0

[tex]Tan\ x + Tan\ 2x + Tan\ 3x - Tan\ x\ .Tan\ 2x\ .Tan\ 3x = 0[/tex]

Factorize:

[tex]Tan\ x + Tan\ 2x + Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) = 0[/tex]

Subtract both [tex]Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)[/tex] from both sides

[tex]Tan\ x + Tan\ 2x + Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) = 0 - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)[/tex]

[tex]Tan\ x + Tan\ 2x = - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)[/tex]

Divide both sides by: [tex](1 - Tan\ x\ .Tan\ 2x)[/tex]

[tex]\frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) } = - Tan\ 3x[/tex]

In trigonometry:

[tex]Tan(3x) = Tan(x + 2x) = \frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) }[/tex]

So,

[tex]\frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) } = - Tan\ 3x[/tex]

is equivalent to:

[tex]Tan\ 3x = - Tan\ 3x[/tex]

Collect Like Terms

[tex]Tan\ 3x+Tan\ 3x = 0[/tex]

[tex]2Tan\ 3x = 0[/tex]

Divide through by 2

[tex]Tan\ 3x = 0[/tex]

In trigonometry:

If

[tex]Tan\ x= 0[/tex] ,

Then [tex]x=2n\pi[/tex]

Where [tex]n \ge 0[/tex]

So, in this case:

[tex]3x = 2n\pi[/tex]

[tex]x = \frac{2}{3}n\pi[/tex]

Answer:

7,859.92

Step-by-step explanation:

Add up the additions starting with what she started off with in the bank and subtract 4,200.00

Answer:

the probability that none of the boxes have more than 6 balls is 0.3077

Step-by-step explanation:

Given that;

12 balls are put into 3 boxes randomly, without ay condition

so we will be using the multinomial formula;

⇒ [ 12 + 3 - 1              [ 14

        3 - 1 ]         =       2 ]    =    91

now, assuming that one of the box has more than 6 balls that is at least 7 balls

x + y + z = 12

 x + y + z = 7

therefore

x + 7 + y + z = 12

x + y + z = 5

therefore the number of the solution here computed as;

⇒ [ 5 + 3 - 1              [ 7

        3 - 1 ]         =       2 ]    =   21

Hence, the probability that none of the boxes have more than six (6) balls will be;

= (91 - (3 × 21)) / 91

= (91 - 63) / 91

= 28 / 91

= 0.3077

Therefore the probability that none of the boxes have more than 6 balls is 0.3077

Answer:

A(n)=250+(n-1)(0.03*250);$347.50

The required explicit formula that represent the account's balance at the beginning of year 14 is  given as Amount = 250(1 + 0.03(n - 1)).

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,
Balance after 1 year of deposit is given by,
Amount = principal(1 + r%)
Amount = 250(1 + 0.03)

Now,
at the end of the n years, Amount is given as,
Amount = 250 ( 1 + 0.03n)

Now. At the starting of the nth year, amount is given as,
Amount = 250(1 + 0.03(n - 1))

Now, put n = 14 in above formula,
Amount = 250(1 + 0.03(14 - 1))
Amount = 4347.5

Thus, The required explicit formula that represent the account's balance at the beginning of year 14 is  given as Amount = 250(1 + 0.03(n - 1)) ,

Learn more about simple interest here:

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Answer: James is 23. Tom is 21. Sharon is 26

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Just add the outside numbers that go around the shape

Answer:

Hi!

The answer is 33

Step-by-step explanation:

All you have to do is add up the numbers on the outside.

Hop this helps! Good Luck!!

Answer:(C) 17

Step-by-step explanation:(c) after some research its what I've seen people say

best of luck!

Answer:

92%

Step-by-step explanation:

100/25= 4

4 x 23 = 92

Answer

100%

Explanation

To get from 65 to 0, you subtract 65.

65 is 100% of 65, so there is a 100% decrease.

The percent of decrease from 65 to 0 is 100% because 65 completely becomes zero and percent is the ratio of two numbers expressed in the fraction of 100.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We know the percent in increase can be evaluated by:

[tex]\rm Percent \ decrease= \frac{Old \ value - New \ value}{Old \ value}\times100[/tex]

[tex]\rm Percent \ of \ decrease = \frac{65-0}{65} \times100[/tex]

Percent of decrease = 100%

Thus, the percent of decreased from 65 to 0 is 100% because 65 completely becomes zero and percent is the ratio of two numbers expressed in the fraction of 100.

Learn more about the percentage here:

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Answer:10

Step-by-step explanation:

because it takes 10 to get to each 5 for example to get to negative 5 to positive 5 you need 10.

Answer:290390

Step-by-step explanation:

Answer:

which questions do you want to ask

Step-by-step explanation:

sorry but I didn't know

Answer:

p=143.2-1.2b

Step-by-step explanation:

Subtract 3b; 2.5p=358-3b

divide by 2.5; 143.2-1.2b

Answer:

12=$4.20

15=x$ crisscross

12*(x$)/15*$4.20

= 15*4.2/12=x

x=5.25$

Answer:

Step-by-step explanation:

12=4.20

15=x

x=15*4.20/12

x=63/12

x=5.25

Answer:

x=2

Step-by-step explanation:

10x+14 = -2x+38  add 2x to both sides

10x +2x +14 = -2x +2x +38

10x +2x +14 = 38 subtract 14 from both sides

10x +2x +14 -14 = 38 -14

10x +2x = 38 -14 combine like terms

12x = 24 divide both sides by 12

12x/12 = 24/12

x =2

Answer:

x = -2

Step-by-step explanation:

10x + 14 = -2x + 38

Subtract 14 from both sides:

10x + 14 - 14 = -2x + 38 - 14

10x = -2x - 24

Add 2x to both sides

10x + 2x = 2x - 2x - 24

12x = -24

Divide both sides by 12

12x/12 = -24/12

x = -2

Answer:

If the given equation is

comparing with [tex]y = kx[/tex]

Therefore, the option [tex]C[/tex] is correct.

Step-by-step explanation:

Given

We know when [tex]y[/tex] varies directly with [tex]x[/tex], means that when x increases, y increases by the same factor

i.e.

y ∝ x

[tex]y = kx[/tex]

where k is the 'constant of proportionality.

[tex]k\:=\:\frac{y}{x}[/tex]

If the given equation is

comparing with [tex]y = kx[/tex]

Therefore, the option [tex]C[/tex] is correct.

Answer:

98

Step-by-step explanation:

the time taken is directly proportional and so we multiply 7 by 56 and the divide the answer by 4 to get 98

Answer: [tex]= 0.013 rads^{-1}[/tex]

Step-by-step explanation:

given data:

speed of kite = 5 ft/s

height of the kite = 100 ft above the ground.

decrease = 200 ft

Solution:

[tex]\frac{dy}{dx} = 5 ft/s\\\\\\[/tex]

 θ = [tex]arcsin \frac{100}{200}[/tex]

next we relate  θ and x with respect to time t.

[tex]\frac{x}{100} =[/tex] cot θ

[tex]0.01\frac{dx}{dt} =-csc^{2}[/tex] θ[tex]\frac{d}{dt}[/tex]

[tex]\frac{d}{dt} = \frac{0.01\frac{dx}{dt} }{-csc^{2} \frac{\pi }{6} }[/tex]

[tex]= \frac{0.01(5)}{-csc^{2}\frac{\pi}{6} }[/tex]

[tex]= \frac{0.05}{-2^{2} }[/tex]

[tex]= 0.013 rads^{-1}[/tex]

Answer:

she gives her sister 6

1/4 of 16 is 4

16-4 is 12

12/2 is 6

Answer:

The slope represents the amount of weight the puppy gains each week. The y-intercept represents the puppy's starting weight.

Step-by-step explanation:

Camille's puppy:

slope: 0.5

y-intercept: 1.5

Camille's puppy started at 1.5 pounds and gains 0.5 pound every week.

Olivia's puppy:

slope: 1

y-intercept: 4

Olivia's puppy started at 4 pounds and gains 1 pound every week.