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leonid [27]
2 years ago
10

Sharon makes headbands and sells them online. She is analyzing the sales of two of her most popular styles, For style A, she sol

d 40 in the first month and had a 10% increase in sales each month after that. For style B, she sold 20 in the first month and had a 15% increase in sales each month after that.
Which system of equations can she use to determine the number of months, m, until the sales, s, are the same for both headband styles?

A. s = 40(0.10)^m, s = 20(0.15)^m
B. s = 1.1(40)^m, s = 1.15 (20)^m
C. s = 40(1.1)^m, s = 20(1.15)^m
D. s = 10(40)^m, s = 15(20)^m​
Mathematics
2 answers:
Nuetrik [128]2 years ago
8 0

Answer:

Option C

Step-by-step explanation:

C: s=40(1.1)^m, s=20(1.15)^m

correct on edmentum

Crank2 years ago
6 0

Answer:

the answer is c: s=40(1.1)^m, s=20(1.15)^m

Step-by-step explanation:

in option A, (0.10) and (0.15) make it exponential decay rather than exponential growth like it's supposed to be.

In option B, the rate of growth is supposed to be on the exponent, not the sales themselves in the equation

option c is correct I just finished the test

option d has the same mistake as a and b combined

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natali 33 [55]

Answer:

y = 1/2x-3

Step-by-step explanation:

y=mx+b, where m is slope and b is y-int and x and y are variables.

y = 1/2x-3

Plot your point at (8,1) and then use your slope and rise 1 go over 2 then draw your line.

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5 0
2 years ago
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by
a_sh-v [17]

Answer:

Dimension of the box is 16.1\times 7.1\times 2.45

The volume of the box is 280.05 in³.

Step-by-step explanation:          

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is L=21-2h

The width of the box is W=12-2h

The volume of the box is V=L\times W\times H

V=(21-2h)\times (12-2h)\times h

V=(21-2h)\times (12h-2h^2)

V=252h-42h^2-24h^2+4h^3

V=4h^3-66h^2+252h

To maximize the volume we find derivative of volume and put it to zero.

V'=12h^2-132h+252

0=12h^2-132h+252

Solving by quadratic formula,

h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}

h=\frac{132\pm72.99}{24}

h=2.45,8.54

Now, substitute the value of h in the volume,

V=4h^3-66h^2+252h

When, h=2.45

V=4(2.45)^3-66(2.45)^2+252(2.45)

V\approx 280.05

When, h=8.54

V=4(8.54)^3-66(8.54)^2+252(8.54)

V\approx -170.06

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is L=21-2(2.45)=16.1

The width of the box is W=12-2(2.45)=7.1

So, Dimension of the box is 16.1\times 7.1\times 2.45

6 0
3 years ago
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zavuch27 [327]

Answer:

-10y + 10.5

Step-by-step explanation:

5 - 2y + (-8y) + 5.5

5 - 2y - 8y +5.5

-10y + 10.5

3 0
2 years ago
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Step-by-step explanation:

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3 years ago
What is these in simplest form <br> a) 2a + 4 + 5a + 8 = <br> b) -2b – 7 + 3b – 8 =
iren [92.7K]

Answer:

a ) 7a + 12

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Step-by-step explanation:

a)2a+5a +8+8

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b) b - 7 - 8

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6 0
2 years ago
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