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3 years ago

Help me please will give points

Mathematics

1 answer:

ehidna [41]3 years ago

7 0

Answer: 675

m represents the time she has been paying. And B represents how much she owed.
So to find how much she owed at the beginning, when no time had passed, we need to set m equal to zero.

When m is zero, the equation is
B = -100(0) + 675
B= 675

So 675 is how much she owed at the beginning of the year.

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A car's position is given by s(t) = {3 – 5t? + 7t hundreds of meters with t in minutes.

Nadya [2.5K]

Answer:

A) (1 s, 2.3 s)

B) (-4 m/s², 3.8 m/s²)

Step-by-step explanation:

The car's position which is the distance is given by the equation;

s(t) = t³ - 5t² + 7t

A) Velocity is the first derivative of the distance. Thus;

v(t) = ds/dt = 3t² - 10t + 7

At v = 0, we have;

3t² - 10t + 7 = 0

Using quadratic formula, we have;

t = 1 and t = 2.3

Thus, time at velocity of 0 is t = (1 s, 2.3 s)

B) acceleration is the derivative of the velocity. Thus;

a(t) = dV/dt = 6t - 10

At velocity of 0, we got t = 1 and t = 2.3

Thus;

a(1) = 6(1) - 10 = -4 m/s²

a(2.3) = 6(2.3) - 10 = 3.8 m/s

Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)

8 0

3 years ago

Mica bought a new smart phone for $258.13. That was the price after his 18.25% discount. What was the original price of the phon

julia-pushkina [17]

The original price of phone is $ 315.76

<em><u>Solution:</u></em>

Given that Mica bought a new smart phone for $ 258.13.

That was the price after his 18.25% discount

<em><u>To find: original price of phone</u></em>

From given question,

price after discount = $ 258.13

discount = 18.25 %

Let "x" be the original price of phone

price after discount = original price - discount

$258.13 = x - 18.25 \% \text{ of } x$

$258.13 = x - \frac{18.25}{100}x$

$258.13 = x(1 - \frac{18.25}{100})$

$258.13 = x(1 - 0.1825)\\\\258.13 = x( 0.8175)\\\\x = \frac{258.13}{0.8175}\\\\x = 315.76$

Thus original price of phone is $ 315.76

4 0

3 years ago

Here is a list of numbers: 9.5, 4.4, 8.1, 2.9, 9.2, 3.2, 9.4, 7, 2.5 state the median.

Aloiza [94]

The median of the list of numbers is 7

<h3>How to determine the median?</h3>

The number is given as:

9.5, 4.4, 8.1, 2.9, 9.2, 3.2, 9.4, 7, 2.5

Rearrange the numbers in ascending order

2.5, 2.9, 3.2, 4.4, 7, 8.1, 9.2, 9.4, 9.5

The median is the middle number.

The middle number here is 7

Hence, the median of the list of numbers is 7

Read more about median at:

brainly.com/question/14532771

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3 0

2 years ago

The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. Find the numbers.

jok3333 [9.3K]

Answer:

x = -6

y = 9

Step-by-step explanation:

The sum of two numbers is 3

x + y = 3

twice the larger number is 36 more than three times the smaller number

2y = 3x + 36

Divide both sides by 2

y = 1.5x + 18

substitute for y in the first equation

x + (1.5x + 18) = 3

2.5x = -15

divide both sides by 2.5

x = -6

Substitute for x in the first equation

-6 + y = 3

y = 9

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