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2 years ago

Please its really urgent, step by step working out

Mathematics

1 answer:

Karo-lina-s [1.5K]2 years ago

8 0

Answer:

70.99

Step-by-step explanation:

Use Pythagorean Theorem to find the shortest distance.

80^2-50^2=3900

Square rt= 62.44

Subtract by 15

47.44

Next find half of the circular path it is (3.14 x 15)/2

23.55

Add 47.44+23.55=70.99

Hope this is correct

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What is the present value of $4,900 per year at a discount rate of 10 percent if the first payment is received 6 years from now

Nesterboy [21]

Answer:

17640

Step-by-step explanation:

at a discount of 10% per year $4900 is equal to $490 per year

payment started 6 years ago from now and ended 20 years from now

therefore there is an accumulation of 26 years

for 26 years = 26 *$490= $12740

present value therefore = $4900+$12740=$ 17640

4 0

3 years ago

Solve for x: 3(x + 1) = −2(x − 1) − 4.

Vlad [161]

Answer:

Multiply the first bracket by 3

Multiply the second bracket by -2

3x+3=-2x+2-4

3x+2x+3=-2x-2 negative (-) number and positive number (+)= negative number

Just rearranging

5x+3=-2

5x+3-3=-2-3

5x=-5

Dividing by 5

5x/5=-5/5

x=-1

Check answer by using substitution method

3(-1+1)=-2(-1-1)-4

0=-2(-2)-4 negative number and negative number = positive number

0=4-4

0=0

Answer is x=-1

6 0

3 years ago

21253 to the nearest hundred

Dahasolnce [82]

Answer:

21300

Step-by-step explanation:

3 keeps 50 the same, and if the number is below 4 then the number stays the same, if it's 5 and up the number goes up by one digit.

4 0

3 years ago

Which of these is an exponential parent function? A. f(x) = 2^x – 3 B. f(x) = 2^x + 2 C. f(x) = 2^x D. f(x) = 2^x + 1/3

anygoal [31]

An exponential parent function is the option C. f(x)= $2^{x}$ , from the given options.

What do you mean by exponential parent function?

The formula for their parent function is y = $b^{x}$ , where b is any non zero constant. Below is a graph of the parent function, y = $e^{x}$ , which demonstrates that it will never equal 0. And at y = 1 when x = 0, y crosses the y-axis.

According to options in the given question,

We have the option below in the given question:

A. f(x) = 2^x – 3

B. f(x) = 2^x + 2

C. f(x) = 2^x

D. f(x) = 2^x + 1/3

We know from the above definition that the option C. is the right answer to the given question.

Therefore, the exponential parent function is f(x)= $2^{x}$ .

To learn more about exponential parent function, visit:

brainly.com/question/24210615?referrer=searchResults

#SPJ1

4 0

1 year ago

A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.

IgorC [24]

Answer:

a = 2

Step-by-step explanation:

Let's find the equation of the line using the 2 points given.

Let's call -1 as x_1 and -5 as y_1

also, 4 as x_2 and 5 as y_2

The equation of line is :

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

<em>Let's plug the points and get the equation of the line:</em>

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3$

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

$y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2$

4 0

3 years ago

Read 2 more answers