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mrs_skeptik [129]
3 years ago
5

This year, the price of a Christmas Cactus painting rose to $359. This is an increase of 15% more than last year’s price. What w

as the old selling price?
Mathematics
1 answer:
tatiyna3 years ago
3 0
15 percent of 359 is 53.85
subtract 359 minus 53.85 and you get 305.15
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Jan and two of her friends raised money by having a bake sale. They split the proceeds. If each person received $32.19, how much
AveGali [126]

Answer: 1. Equation =3x = M , where x = money each received and M= total money received.

2.total money from bake sale=$96.57

Step-by-step explanation:

STEP 1

Let the total money receive from proceeds be = M

and let the amount of money each receive after the split  = x

Since   Jan and her two friends raised the money together, the total proceeds will be calculated using the equation

x+x+x= M

3 x = M ---- Equation

STEP 2--- Solving

if 3 x= M

and x =mount of money each receive after the split=$32.19

Therefore total money from bake sale, M = 3x = 3 x 32.19 = $96.57

7 0
3 years ago
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Please answer this question! 30 points and brainliest!
tangare [24]

Answer:

3.5 cm

Step-by-step explanation:

2.5 is half of 5 so you divide 7 by 2 and you get 3.5

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Which of the following are solution to 2X squared minus 8X -90
svetlana [45]

Answer:

2(x+5)*(x-9)

Step-by-step explanation:

4 0
3 years ago
A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi
omeli [17]

Answer:

a) M(t)=24000-14000e^{t/10}

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

\frac{dM}{dt}=0.1M-2400

We can express this equation as:

\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}

(b) We can calculate this as M(t)=0

M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390

It takes 5.390 years to pay off the loan.

8 0
3 years ago
The graph below shows the heights and arm spans of students in a classroom. Height and Arm Span of Students Based on the graph,
xxMikexx [17]

The best prediction of the height of a student with an arm span of 143 cm is 143 cm

Step-by-step explanation:

The missing graph is attached

The graph below shows the heights and arm spans of students in

a classroom

  • The x-axis represents the height in cm
  • The y-axis represents the arm span in cm

We need to find the height of a student with an arm span of 143 cm

∵ The graph does not contain the value of the given arm span

∴ We will use the line best fit (sold line in the attached graph) to find

   the best predication of the height

∵ The line passes through points (150 , 150) and (160 , 160)

- The x-coordinates are equal the y-coordinate

∴ The equation of the line is y = x

∵ The arm span of a student is 143 cm

∵ y represents the arm span of a student

∴ y = 143

- Substitute the value of y in the equation of the line best fit

∵ y = x

∴ 143 = x

∵ x represents the height of a student

∴ The height of the student is 143 cm

The best prediction of the height of a student with an arm span of 143 cm is 143 cm

Learn more:

You can learn more about line best fit in brainly.com/question/8955867

#LearnwithBrainly

3 0
3 years ago
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