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Dmitriy789 [7]
3 years ago
9

the 22 students bought a Valentine's presents they purchased 2 dozen for 22.95$ per and a box of chocolates for 13.45$ they spli

t the cost equally . WHAT IS THE BEST ESTIMATE OF THE AMOUNT EACH STUDENT PAID . a $3- b. 2$ - c. 5$ - d. 4$
Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

I think the answer is b

Step-by-step explanation:

I think its b because, $22.95 plus $13.45 equals $36.40. And divide that by 22, and get $1.60 rounded is $2.00. I hope this can help.

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A company deposits $5,000 into an account that earns interest. The rate at which the value changes is given by dA/dt=0.0225A, wh
xxMikexx [17]

Answer:

  $6261.61

Step-by-step explanation:

The solution to the differential equation is the exponential function ...

  A(t) = 5000e^(0.0225t)

We want the account value after 10 years:

  A(10) = 5000e^(0.225) = 6261.61

The value of the account after 10 years will be $6,261.61.

_____

The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).

Or, you can solve the differential equation using separation of variables:

  dA/A = 0.0225dt

  ln(A) = 0.0225t +C . . . . integrate

  A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000

7 0
3 years ago
Twice a number is 60 more than five times the number. what is the number?
Delvig [45]
Let the number be represented by x
2x=60+ 5x                          -20*2=60+5*-20
2x-5x=5x-5x+60                     -40=60+-100
-3x=60                                      -40=-40
-3x/-3=60/-3
x=-20
Therefore the number is -20
5 0
3 years ago
Write the equation of the line that passes through (8,1) and is perpendicular to the line whose equation is y=−4x+2. Show all wo
scoundrel [369]

Answer:

\displaystyle y = \frac{1}{4}x - 1

Step-by-step explanation:

1 = ¼[8] + b

2

\displaystyle -1 = b \\ \\ y = \frac{1}{4}x - 1

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so −4 becomes ¼.

I am joyous to assist you anytime.

3 0
3 years ago
Find the volume of the solid, please
dsp73

Answer:

V \approx=1436.8

Step-by-step explanation:

Variables and symbols:

  • r = radius
  • V = volume
  • A = surface area
  • C = circumference
  • π = pi = 3.1415926535898
  • √ = square root

Volume of a sphere in terms of radius:

V = \frac{4}{3}\pi r^3 , V \approx 4.1888r^3

To calculate the volume of a sphere:

Usually the hardest part is measuring or estimating the diameter of the sphere. Special tools exist for smaller parts like balls in ball-bearings, but it gets more complicated if the size is large. Knowing that the diameter is the largest internal measurement you can take should help.

Once you have the measurement, to find the volume use the formula above, in which π is the well-known mathematical constant equal to about 3.14159. To adjust for a half-sphere calculation, just divide the result by two.

Spheres and half-spheres are useful in engineering and architecture due to their property of being able to take equal amounts of pressure or force from each direction.

Solution:

V=\frac{4}{3} \pi r^{3} =\frac{4}{3} *\pi *7^{3}  \approx1436.75504

Round to nearest tenth: 1436.8

5 0
2 years ago
Read 2 more answers
7. During the Middle Ages, people often used grains, scruples, and drahms to measure the weights of different medicines. If 120
Serjik [45]

Answer:

5 drahms.

Step-by-step explanation:

From the question given above, the following data were obtained:

120 grains = 6 scruples

6 scruples = 2 drahms

300 grains (in drahms) =..?

From the above data,

120 grains = 6 scruples

6 scruples = 2 drahms

Therefore,

120 grains = 2 drahms

Thus, we can obtain 300 grains in drahms as follow:

120 grains = 2 drahms

Therefore,

300 grains = 300 grains × 2 drahms /120 grains

300 grains = (300 × 2)/120 drahms

300 grains = 5 drahms

Therefore, 300 grains is equivalent to 5 drahms.

5 0
3 years ago
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