Help a formula word problem. Thank you if you help. You're a genuis!​

Answer:

The initial value is;

y = 16

Step-by-step explanation:

Here, we want to get the initial value of y

Generally, for an exponential function,

we have the form as;

y = a•b^x

where the initial value is the value we have when x = 0

Looking at the given function, substituting x = 0

We have the function as;

y = 16(0.75)^0

y = 16 * 1

y = 16

So the initial value is 16

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 9x = x + 24 ( subtract x + 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

(x + 2)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 12 = 0 ⇒ x = 12

Answer:

the first one is 10

the second one is 12.65

Step-by-step explanation:

hope this will help u

Hello there!

Here, we want to use the Pythagorean Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex].

For problem number 7, we plug 6 and 8 in for a and b. Like this:

[tex]6^{2} + 8^{2} = c^{2}[/tex]

Now we solve. [tex]6^{2}[/tex] is 36. [tex]8^{2}[/tex] is 64.

64 + 36 = 100

Then, we take the square root of 100 to get c.

[tex]\sqrt{100} = 10[/tex]

(There's something special about this triangle. If you want I'll tell you about it in the comments.)

For problem number 8, we do the same exact thing.

[tex]4^{2} + 12^{2} = c^{2}[/tex]

[tex]4^{2} = 16[/tex]  and  [tex]12^{2} = 144[/tex]

[tex]144 + 16 = 160[/tex]

[tex]\sqrt{160} = 8\sqrt{10}[/tex]

I hope this helps!!

Answer:

$405,44

Step-by-step explanation:

Equation: 499.99 - (499.99 x 15/100) - 1/10[499.99-(499.99 x 15/100)] + 6/100{1/10[499.99-(499.99 x 15/100) = x

Steps: x = (15 x 499.99)/100 = $74.9985

499.99 - 74.9985 = $424,9915

x = (424,9915 x 10)/100 = $42,49915

424,9915 - 42,49915 = $382,49235

x = $22,949541

382,49235 + 22,949541 = $405,441891

That can be rewritten as $405,44.

I hope that helped :)

Answer:

The function that models the total amount of money Julio has after weeks is:

f(x)=150+10x, where:

x is the number of weeks

Step-by-step explanation:

With the information provided,  you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:

f(x)=150+10x, where:

x is the number of weeks

Answer: f(x)=150+10x,

Step-by-step explanation:

Answer:

y=5.72

Step-by-step explanation:

Let's solve your equation step-by-step.

y−1.02=4.7

Step 1: Add 1.02 to both sides.

y−1.02+1.02=4.7+1.02

y=5.72

Answer: y=5.72

Step-by-step explanation:

4.7 plus 1.02 equals 5.72

5.72 minus 1.02 equals 4.7

Answer:

2

Step-by-step explanation:

Answer:

slope = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = [tex]\frac{4-0}{2-(-3)}[/tex] = [tex]\frac{4}{5}[/tex]

Answer:

d = 15.8 m

Step-by-step explanation:

Apply the Pythagorean Theorem to find the length of the diagonal.  The correct equation for this particular rectangle is

d = √(9² + 13²) = √250 = √25·√10 = 5√10

To the nearest tenth, this comes to d = 15.8 m

Answer: 15.8

Step-by-step explanation:

Answer:

The answer is 2/7.

Step-by-step explanation:

If you flip a coin 7 times then 7 is the denominator, which stands for the total amount of times you flipped the coin. The numerator is 2, which is the amount of times you land on the same thing, in this case, landing on tails.

Hope this helps!

-Luna

Answer:

1/6

Step-by-step explanation:

Answer:

56.54 will be the circumference if 9 is the radius......

Hope it helps!!!

Answer:

For a volume of 60 ounces, the appropriate price is $16

Step-by-step explanation:

Firstly, we need to determine the relationship between volume of popcorn and the price of bag.

Let us try and see if there is a linear relationship

A linear model is of the form ;

y = mx + b

where m is the slope and b is the y intercept

While the price represents the y axis values, the volume represents the x axis values

For the slope;

m = (y2-y1)/(x2-x1)

m = (13.6-11)/(48-35) = 2.6/13 = 0.2

So we have the slope value as 0.2

the equation is;

y = 0.2x + b

to get b, substitute any value of (x,y)

6 = 0.2(10) + b

6 = 2 + b

b = 6-2 = 4

If we had substituted (20,8)

8 = 0.2(20) + b

8 = 4 + b

b = 4

if (48,13.6)

13.6 = 48(0.2) + b

13.6 = 9.6 + b

b = 13.6-9.6

b = 4

Hence we have established linear relationship between the volume in ounces and the price in $

So we have this as

Price = 0.2(volume) + 4

So for volume of 60 ounces;

Price = 0.2(60) + 4

price = 12 + 4

price = $16

The reason why this is appropriate is because it follows the rule of the established linear relationship

Answer:

$16

Step-by-step explanation:

Answer:

Step-by-step explanation:

6^3 is the error, 6^3 is 216.

the correct volume is   904.32

Answer:

Step-by-step explanation:

6³ is not equal to 18, that is 6x3

6³= 6x6x6=216

so the correct volume is V= 904.7 cm³

Answer:

6.3 yards

Step-by-step explanation:

mathematically, to get the circumference of the circle, we will have to use the formula for the circumference of a circle

we have this as;

C = 2 * pi * r

r is 1 yard

c = 2 * pi * 1 = 2pi yards = 6.3 yards

Step-by-step explanation:

Hey there!

In (a) part we can see that a person delivers approximately 120 newspapers in 3 hours. Kate will deliver 30 × 3 = 90 newspapers. So, (a) part is the answer.

In (b) part, a person delivers 40 newspapers in 4 hours, Kate delivers 30 × 4 = 120 newspapers. So, Kate is faster, (b) option cancelled.

In (c) a person delivers 110 newspapers in 4.5 hours. Kate will deliver 30 × 4.5 = 135 papers, that's again greater. Option (c) cancelled.

Option (d), we can easily cancel it out. But I'm showing the work; a person delivers 20 newspapers in 4 hours, Kate delivers 30 × 4 = 120 newspapers, much faster than the person.

Hence option (a) is the answer.

Hope it helps :)

Answer:

Aiden would have $67 more than Autumn.

Step-by-step explanation:

Aiden compounded continuously, which uses the formula: [tex]P(t)=P_oe^r^t[/tex]

Plugging in what we know about Aiden's investment: [tex]P(11)=98000e^0^.^0^2^*^1^1[/tex]

That gives us: 122115.5196

Autumn invested using regular compound interest, which has the formula: [tex]A=P(1+\frac{r}{t})^n^t[/tex]

Since Autumn's investment is getting compounded quarterly, n=4 because it gets compounded 4 times a year.

Plug in Autumn's investment: [tex]A=98000(1+\frac{0.02}{4})^4^*^1^1[/tex]

That gives us: 122048.5974

Now just subtract the two and round to the nearest dollar:

[tex]122115.5196-122048.5974=66.92215187[/tex]

OR

$67. Aiden would have $67 more than Autumn after 11 years.

Answer:

<1 = 33

<2 = 90

<3 = 57

Step-by-step explanation:

<3 = 57 because of alternate interior angles

<2 + <3 + 33 = 180

<2 + 57 + 33 = 180

<2 + 90 = 180

<2 = 90

<1 + <2 + 57 = 180

<1 + 90 + 57 = 180

<1 + 147 = 180

<1 = 33

Answer:

c

Step-by-step explanation:

count

Answer:

C

Step-by-step explanation:

Answer:

x = -70

Step-by-step explanation:

-x/10 = 7

=> -x = 7 x 10

=> -x = 70

=> x = -70

Answer:

Your answer is 8.06.

Step-by-step explanation:

Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:

a² + b² = c²

Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.

a is going to be your smallest leg, so in this case a = 4.

b is going to be your longest leg, so it is b = 7.

Now, you don't know what c yet is so you simply write it as:

4² + 7² = c²

Do the exponents.

16 + 49 = c²

Add.

65 = c²

Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.

√65 = √c2

Once you do that, you have your answer!

8.0622577483 = c

Now just simplify and you're done :)

8.06

Might sound hard now but you'll get the hang of it.

7x9=63/2=31.5

31.5x4= 126

7x7=49

126+49=175

The surface area of the pyramid would be 175cm^2

Answer:

1.20 2.50 4.75 0.003 0.0053 0.0075

Step-by-step explanation:

Divide each percent by 100 to get the decimal form.

Sorry for not showing a diagram, but I hope this helps!

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 27

Explanation:

(3x2) + 5^2 - 8 / 2 = 27

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

yes, they arent intersecting and they have the same slope

Answer:

5 2/5 seems right to me

Step-by-step explanation:

filler filler filler

Answer:

For the first one it is 5x+2

Step-by-step explanation:

(9x+5) - (4x+3) = ?

First you minus the x's together so,

9x-4x which would equal 5x

then you minus the 5 and 3 together so,

5-3 which would equal 2

then you put the 5x and the 2 together and you get

5x+2 :-)

For the rest of the problems, use this as an example!

Answer:

a + b = 780

Step-by-step explanation:

If we subtract the two equations we can ”eliminate“  a and b and find the value of z.

a-a = 0

b-b = 0

-10z = -700

z = 70

now we have to subistitute this value in the two equations

a + b -4(70) = 500

a + b + 6(70) = 1200

a+b - 280 = 500

a + b + 420 = 1200

If we simplify we have

a + b = 780

a + b =  780