Josh's club at school is selling lollipops for a fundraiser. They sold the lollipops for $.50 a piece but had to pay a shipping cost of $30. The function for their lollipop sales is P(s)=.50s−30, where s is the number of lollipops sold and P represents the profit made. If they sold 150 lollipops, how much profit would they make?

Using compound interest, it is found that Claire will have $6,186 in her account when Henry's money has tripled in value.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

For Henry, we have that r = 0.0675, n = 12. The time it takes for the amount to triple is t when A(t) = 3P, hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]3P = P\left(1 + \frac{0.0675}{12}\right)^{12t}[/tex]

[tex](1.005625)^{12t} = 3[/tex]

[tex]\log{(1.005625)^{12t}} = \log{3}[/tex]

[tex]12t\log{(1.005625)} = \log{3}[/tex]

[tex]t = \frac{\log{3}}{12\log{(1.005625)}}[/tex]

t = 16.32.

Then, for Claire, we have that the parameters are as follows:

P = 2300, r = 0.0625, n = 1, t = 16.32.

Hence, the amount is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(t) = 2300\left(1 + \frac{0.0625}{1}\right)^{16.32}[/tex]

A(t) = 6186.

Claire will have $6,186 in her account when Henry's money has tripled in value.

More can be learned about compound interest at https://brainly.com/question/25781328

1) 720 inches³

2) 900 inches³

3) 120 inches³

hope it helps...!!!

Answer:

187 in^2

Step-by-step explanation:

hope this helps!

If he sold the 459 shares of rayje clothiers that you purchased yesterday. The amount of profit is: d. $6,306.66.

Using this formula

Profit=Net change×Number of shares sold

Where:

Net change=$13.74

Number of shares sold=459 shares

Let plug in the formula

Profit=$13.74×459 shares

Profit=$6,306.66

Therefore the amount of profit is: d. $6,306.66.

Learn more about profit here:https://brainly.com/question/8927712

#SPJ2

Answer:

Answer below!

Step-by-step explanation:

Alright I'm not too sure on what the question is asking for per your instructions, but I've written out my best explanation on how to use distributive property to solve this equation.

So first, what is the process of distributive property? It basically states whatever is in the parenthesis is multiplied by the outside number.

In simpler terms, each character in the parenthesis is multiplied by the number standing outside of the parenthesis.

So we can go...

(3 x 4x) - (3 x 5) = (12x) - (15)

And there's your answer, 12x - 15! Unless you know what x means, you'll probably just stop there.

Hope this was helpful!

Answer:

2 quarts .

Step-by-step explanation:

4 quarts make a gallon but two is already added

Answer:

2 quarts

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-2 + 3v = -23 >> -2 + 23 = -3v >> 21 = -3v >> v = -7

Answer:

V=-7

Step-by-step explanation:

To solve this equation, you must first add the -2 to both sides. (This cancels it out since you only want one variable on each side of the equation. It would be the other way around if the variable were positive) Now that you have the equation 3v=-21, you can divide. To get the v by itself, you must divide both sides by 3. This gives you the answer to the equation.

Hope this helps!!

Answer:

627 miles north

747 miles east

Step-by-step explanation:

Bearing angles are measured east of north, so in (N, E) coordinates, the final position of the plane is ...

 (1.5 h)(650 mi/h)(cos(50°), sin(50°)) = (975cos(50°), 975sin(50°)) mi

 = (626.72, 746.89) mi

The plane will be 627 miles north and 747 miles east of its point of departure.

Answer: The slope is -2/1

Step-by-step explanation: We go 2 up and 1 to the left, meaning we get 2 over -1, to simplify, -2/1

Note: When we go down or to the left its negative, when we go up or to the right its positive

Answer: The slope is -2/1

Step-by-step explanation:

We have two samples, A and B, so we need to construct a 2 Samp T Int using this formula:

In order to use t*, we need to check conditions for using a t-distribution first.

Since 2/3 conditions aren't met, we can still proceed with the problem but keep in mind that the results will not be as accurate until more data is collected or more information is given in the problem.

Solve for t*:

We need the tail area first.

Next we need the degree of freedom.

The degree of freedom can be found by subtracting the degree of freedom for A and B.

The general formula is df = n - 1.

Use a calculator or a t-table to find the corresponding t-score for df = 5 and tail area = .05.

Now we can use the formula at the very top to construct a confidence interval for two sample means.

Substitute the variables into the formula: [tex]\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex].

Simplify this expression.

Adding and subtracting 3.73139 to and from -16 gives us a confidence interval of:

If we want to interpret the confidence interval of (-20.5707, -11.4293), we can say...

We are 90% confident that the interval from -20.5707 to -11.4293 holds the true mean of items sold at locations A and B.

Answer:

Vertical angles — two non-adjacent angles formed by two intersecting lines.

Step-by-step explanation:

Answer:

-47

Step-by-step explanation:

28+ ___=-19

28+x= -19

-28 -28

_________

X= -47

28+-47= -19

Answer:

12 and 3

Step-by-step explanation:

3 * 4 = 12

12 + 3 = 15

Answer:

m∠A = 139°

Step-by-step explanation:

Since knowing that:

Supplementary angles = 180 degree

Thus we put that in both equation:

( 7x - 15 ) + ( 2x - 3 ) = 180

Combine like terms & use inverse operations to find the value of x:

( 7x - 15 ) + ( 2x - 3 ) = 180

9x - 18 = 180

9x - 18 + 18 = 180 + 18

9x  = 198

9x/9 = 198/9

x = 22

Hence,  Angle A will have a measure of 7x - 15 which means  7 ×  22 -15 = 154 - 15 = 139°

m∠A = 139°

The measure of Angle B will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°

m∠ B = 41°

Check Answer by add 139 and 31 which equal 180

~lenvy~

Answer:

I believe it would be 8 11/20 ft³

Step-by-step explanation:

Answer:

5 1/2

Step-by-step explanation:

2x2=

4

2 x 1/2 =

1

2 x 1/4=

1/2

1+1/2=

1 1/2+4 =

5 1/2

Answer:

x = 2

y = -3

Step-by-step explanation:

y = x - 5  -------------------(I)

x + y = -1 ----------------(II)

Substitute y = x -5 in equation (II)

x + (x - 5) = -1

x + x - 5 = -1   {Combine like terms}

   2x - 5 = -1 {Add 5 to both sides}

        2x  = -1 + 5

         2x = 4 {Divide both sides by 2}

           x = 4/2

x = 2

Substitute x = 2 in equation (I)

y = 2 - 5

y = -3

Answer:

[tex]273*346=94,458[/tex]

Step-by-step explanation:

x            200    +     70     +     3

300    60,00    21,000     900  =   81,900

+                                                    +

40       8,000    2,800      120   =  10,920

+                                                    +

6          1,200      420         18    =  1,638

                                                       94,458

Answer:0,10

Step-by-step explanation: When translating you either add or subtract. If the problem says go down or to the left, you know that you will be subtracting, and if it says go up or to the right you will be adding. So up would add 4 to the x value which gives you 0 and you add 2 to the y value you get 10.

Answer:

(0, 10)

Step-by-step explanation:

-4 + 4 = 0

8 + 2

To verify, you can find the coordinates (0, 10) on a graph.

Answer:

Step-by-step explanation:

Answer:

[tex]v = 2064.2 {cm}^{3} [/tex]

Step-by-step explanation:

we first consider the formula for the volume of a sphere

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

we were given diameter of 15.7cm.

we can find the radius by dividing the diameter by 2

because two times a radius makes a diameter.

[tex] \frac{15.7}{2} = 7.9cm[/tex]

we have the radius as 7.9cm.

and we know pi (π) to be 3.14 or 22/7.

but in this case, we use 3.14.

now let's substitute the values in the formula

[tex]v = \frac{4}{3} \times 3.14 \times {7.9}^{3} [/tex]

and we will get

[tex]v = 2064.19 {cm}^{3} [/tex]

but the nearest 10th will be

[tex]v = 2064.2 {cm}^{3} [/tex]

Answer: is 2026.3 cm ^3

Step-by-step explanation:

The z-score is the number of standard deviations while the data value is away from the mean.

The Z-score is said to be a kind of numerical measurement that is known to show or depicts the value's relationship one has to the mean of a group of values.

WE have given a mean: 4.9 median: 6 mode: 6 variance: 4

The Z-score is often measured usually in terms of standard deviations that arise from the mean. It means that if a Z-score is 0, it shows that the data point's score is the same as the mean value.

Learn more about z-score:

brainly.com/question/25638875

Answer:

standard deviations, mean.

Step-by-step explanation:

EDGE2022

Check the picture below.

Answer:

[tex]\sf \dfrac{\pi}{2}[/tex]

Step-by-step explanation:

Angles are measured in a counterclockwise direction from the positive x-axis (initial side).

Therefore, if an angle's terminal side is on the positive y-axis, the angle will be 90° or [tex]\sf \dfrac{\pi}{2}[/tex] radians.

See attached diagram for visual explanation.

If the angle was [tex]\pi[/tex] then the terminal side would be on the negative x-axis.

If the angle was [tex]\dfrac32\pi[/tex] then the terminal side would be on the negative y-axis.

If the angle was [tex]2\pi[/tex] then the terminal side would be on the positive x-axis and the angle would be one complete revolution of the circle.

Answer:

[tex]\frac{23\pi }{18}.[/tex]

Step-by-step explanation:

1) the rule of transformation [degr → rad] is:

[tex]\alpha [rad]=\alpha [degr] *\frac{\pi }{180};[/tex]

2) according to the formula above:

230°=230*π/180=23π/18 [rad].

Answer:

1890 in³

Step-by-step explanation:

The formula to find the volume of a triangular prism: 1/2 x b x h x l, where b is the base, h is the height and l is the length.

1) Substitute the given values in the image into the formula above.

= 1/2 x 18 x 7 x 30

= 1/2 x 126 x 30

= 1/2 x 3780

= 1890

Answer:

5 divided by 0.1960 is 0.039

Step-by-step explanation:

      0. 0 3 9

5 0. 1 9 6

− 0      

 0 1    

−   0    

   1 9  

 − 1 5  

     4 6

   − 4 5

       1

Therefore 5 ÷ 0.1960 is  0.039

Step-by-step explanation:

16, 48, 144

hmmm.

the first thing that comes to mind : it cannot be an addition, as the difference between the 2nd and 3rd numbers is much bigger than the difference between the 1st and 2nd numbers.

so, we try multiplication.

and I see : 16×3 = 48

aha !

48×3 = 144

ok, we found it. the sequence is clearly created by multiplying always the previous number by 3.

so, we have 2 main choices to get the 6th term :

1. simply calculate 144 ×3×3×3 (3 times to get from the 3rd to the 6th term).

2. define the sequence formula and calculate for the 6th term.

1.

144 × 3×3×3 = 144 × 27 = 3,888

2.

a1 = 16

a2 = a1×3 = 16×3 = 48

a3 = a2×3 = a1×3×3 = 16×9 = 144

an = a1 × 3^(n-1) = 16 × 3^(n-1)

a6 = 16 × 3⁵ = 16 × 243 = 3,888