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3 years ago

In the following math problem, which operation should you do FIRST? 8 + 3(72 x 4) – 5 ÷ 2

2 answers:

8 0

PEMDAS says do this order of operations: parentheses, exponents, multiplication, division, addition, subtraction.
So, 72x4 is the first step.

posledela3 years ago

3 0

According to the PEMDAS rule
the parentheses () should be solved first

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The fitness center needs $125,000 in five years for more workout machines. Find the total interest earned if payments are made a

Sergio039 [100]

Answer:

$38,562.5

Step-by-step explanation

Using the compound interest formula

A = P(1+r/n)^nt

P is the principal = $125,000

r is the rate = 6% = 0.06

time t = 5years

n = 0.25 (quarterly payment)

Substitute

A = 125000(1+0.06/0.25)^5(0.25)

A = 125000(1+ 0.24)^1.25

A = 125000(1.24)^1.25

A = 125000(1.3085)

A = 163,562.5

Hence the interest earned = 163,562.5 - 125000

interest earned = $38,562.5

3 0

3 years ago

Help me with thank u sm ❤️❤️

inn [45]

-7 1/8 < -7 1/2 is the answer

6 0

3 years ago

A sequence is defined by the function f(n)=f(n-1)+5. Where n represents the number of the term for n>1 and f(1)=-4. What are

Neporo4naja [7]

Answer:

The first four terms of the above sequence are 1, 6, 11, 16.

Step-by-step explanation:

A sequence is defined by the function f(n)=f(n-1)+5.

Where n represents the number of the term for n>1

First Put n = 2

f(2)=f(2-1)+5.

= f (1) + 5

= -4 + 5

= 1

Second Put n = 3

f(3)=f(3-1)+5.

= f (2) + 5

= 1 + 5

= 6

Third Put n = 4

f(4)=f(4-1)+5.

= f (3) + 5

= 6+ 5

= 11

Second Put n = 5

f(5)=f(5-1)+5.

= f (4) + 5

= 11 + 5

= 16

Therefore the first four terms of the above sequence are 1, 6, 11, 16.

3 0

3 years ago

Read 2 more answers

A circle with radius of 5 cm sits inside a 11 cm * 11 cm rectangle.

Nadusha1986 [10]

Answer:

42.43 $cm^{2}$

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

$Area\ of\ cirle=\pi r^{2}$

$=\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571\ cm^{2}\\$

<u>As here length an width both are 11 cm, we can say that this is a square.</u>

<u /> $Area\ of\ square=(Side)^{2}$

$=11\times11=121\ cm^{2}$

Now, area of shaded region = Area of square - Area of circle

= 121 - 78.571 = 42.429 $cm^{2}$

Therefore, the area of the shaded region will be 42.43 $cm^{2}$

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5 0

3 years ago

A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he

Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

$\theta = \frac{360\°}{16}=22.5\°$

Where all sectors have equal area.

Now, the area of the whole circle is $12.25 \pi \ cm^{2}$ , if we use the formula of its area, we'll find the radius of the circle

$A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5$

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

$cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43$

Therefore, the height is 3.43 centimeters, approximately.

6 0

3 years ago