1) What is the simple interest if Principal = $100, Rate = 5% and time = 3 months?
2) Find the simple interest given that Principal = $900, Rate = 5% andd Time =1 year 4 months.

1.5

Step-by-step explanation:

if you add any number with zero come same

Answer:

1.5

To learn more and forget less.

Answer:

x < 16

Step-by-step explanation:

The number of people that can be in a tour group at the zoo must be fewer than 16 people.

Let the number of people in the Justin's tour group is x.

According to the question, the inequality is given by

x < 16.

This is the desired inequality.

Answer:

1 cup

Step-by-step explanation:

for each cup of cheese you need one cup of milk so for every cup of milk you need one cup of cheese :))

Answer:

q²-7

Step-by-step explanation:

Geometry

The formula for the area of a sector is

[tex]k = \frac{m}{360} \times a[/tex]

Input the things which you already know. (m)

[tex]k = \frac{45}{360} \times a[/tex]

a=πr^2

a=36π

Input this into the equation.

[tex]k = \frac{45}{360} \times 36 \times 3.14[/tex]

[tex]k = \frac{45}{360} \times 113.04[/tex]

[tex]k = 14.13[/tex]

Answer:

[tex] \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} = \frac{1}{125} [/tex]

Answer:

3 pens.

Step-by-step explanation:

x+y=7 where x is # of pens and y =# of pencils

3x + 2y= $18

from first equation, x=-y+7 so substitute that into other equation

3(-y+7)+2y=18

-3y+21+2y=18

-y=18-21

-y=-3

y=3

now replace y =3 into first equation

x+3=7

x=4

the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).

hope this helps. :)

have a great day! stay safe, happy, and healthy!

Answer:

8

Step-by-step explanation:

a = 4

b = 3

4 / a

= 4 / 4

= 1

b / 3

= 3 / 3

= 1

6 + 4 / a + b / 3

= 6 + 1 + 1

= 8

Answer:

[tex]6[/tex]

Step-by-step explanation:

Given:-

[tex]6+\frac{4}{a} +\frac{b}{3}[/tex]

[tex]a=4\\b=3[/tex]

Solution:-

[tex]=6+\frac{4}{4} +\frac{3}{3}[/tex]

[tex]=6+2[/tex]

[tex]=8[/tex]

Step-by-step explanation:

You can apply the power of point to this problem. Essentially, it states that:

[tex]5\cdot12=2\cdot(2+x)\\30=2+x\\x=28[/tex]

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

[tex]y = -x^2 + 10x - 8[/tex]

Required

The point where the trestle gets to the ground level

To do this, we set [tex]y = 0[/tex]

So, we have:

[tex]-x^2 + 10x - 8 = 0[/tex]

Multiply through by -1

[tex]x^2 -10x + 8 = 0[/tex]

Solve using quadratic formula:

[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

[tex]a = 1; b =-10; c = 8[/tex]

So, we have:

[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]

[tex]x= \frac{10 \± 8.25}{2}[/tex]

Solve the fraction

[tex]x= 5 \± 4.125[/tex]

Split

[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]

[tex]x= 9.125\ or\ x= 0.875[/tex]

Answer:

Step-by-step explanation:

 y^2 - 3y + 12

It has 3 terms (y^2) and (-3y) and (12)...therefore, it is a trinomial.

The degree of a polynomial with 1 variable is the highest exponent...so it has a degree of 2. But if it had more then 1 variable, it would be different.

answer is : trinomial with a degree of 2

The polynomial y² – 3y + 12 is trinomial with a degree of 2. Therefore, option C is the correct answer.

The given polynomial is y² – 3y + 12.

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

Here, the polynomial y² – 3y + 12 is trinomial with a degree of 2

Therefore, option C is the correct answer.

To learn more about the polynomials visit:

https://brainly.com/question/11536910.

#SPJ5

i think its 12

Step-by-step explanation:

Answer:

A is not a function

Step-by-step explanation:

In table A, the x value of 4 goes to two different y values

To be a function each x value can only go to one y value

A is not a function

Answer:

27 is the answer

Step-by-step explanation:

We have this proportion....

36 / 12 = x / 9 where x is the model door height

Cross-multiply

36*9 = 12 * x

324 = 12 *x divide both sides by 12

27 = x and that's the model height in centimeters

11/6 = 1. 8333

23/9= 2. 555

[tex]{hope it helps}}[/tex]

#CarryOnLearning

Answer:

21

Step-by-step explanation:

We can set Andrea's current age as x.

In 11 years, her age will be half the square of her age 13 years ago. We get the equation:

[tex]x+11=\frac{(x-13)^2}{2} \\2(x+11)=(x-13)^2\\2x+22=x^2-26x+169\\x^2-28x+147=0\\(x-21)(x-7)=0\\x=21, x=7[/tex]

Ok, now we know that Andreas age could be either 21 or 7. However, the problem states that "in 11 more years my age will be hald the square of my age 13 years ago." It would not make sense for Andrea to be currently 7 if she was not yet born 13 years ago.

Therefore, Andrea's age is 21.

I hope this helps! Let me know if you have any questions :)

B: The width of the vegetable bed is 5 feet. The length is 13 feet.

Answer:

hope this helps!

Step-by-step explanation:

You have to divide:

1.9x10^-8 ÷ (4.2x10^-13)

= appr .45 x 10^5

= .45 x 100000

= appr 45,000 times as large

source: https://www.jiskha.com/questions/1857280/estimate-how-many-times-larger-1-9x10-8-is-than-4-2x10-13

credit: mathhelper

Answer:

About 2.37

Step-by-step explanation:

Answer: 15$

Step-by-step explanation:

Given

Kendra spent one-third of allowance on a book and two-fifth on snack.

If she had four dollar remaining after purchase

Suppose x is the original amount

[tex]\therefore x-\dfrac{x}{3}-\dfrac{2x}{5}=4\\\\\Rightarrow \dfrac{15x-5x-6x}{15}=4\\\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]

Thus, 15$ was her total allowance.

Answer:

Step-by-step explanation:

2bx + 4by -3ax -6ay

= 2b (x +2y) - 3a (x +2y)

= (x +2y) (2b-3a)

Answer:

y = 2/3x + 8/3

Step-by-step explanation:

y = 2/3x + b

0 = 2/3(-4) + b

0 = -8/3 + b

8/3 = b

Answer:

-1.1

Step-by-step explanation:

The z-score formula is expressed as;

z = x - m/s

x is the sample size = 495

m is the mean score = 550

s is the standard deviation = 50

Substitute inti the formula;

z = 495 - 550/50

z = = -55/50

z = -11/10

z = -1.1

Hence the z score is -1.1

Step-by-step explanation:

.......................

Answer:

Physics.

So, distance is speed times time:

10*2

= 20 km

He is very fit btw.

Answer:

20km

Step-by-step explanation:

The unit rate for this question is 10km an hour,

To find how much this person will run in 2 hours we multiple the unit rate (10km) by 2.

10 * 2 = 20

Therefore the person runs 20km in 2 hours.

Hope this helps!

Answer:

it's easy the value of y will be 70.

Both are corresponding angles and their sum will be 180

[tex]\\ \sf\longmapsto y+70=180[/tex]

[tex]\\ \sf\longmapsto y=180-70[/tex]

[tex]\\ \sf\longmapsto y=110°[/tex]

Answer:

If we are solving for x i think its

y= - 5x/2+4

y= -7x/2 +6

I am not sure if its right but hope it helps

Answer:

133

Step-by-step explanation:

Because the figure is an irregular figure we need to break it up into two regular figures

The figure would be broken into..

A square with a side length of 4

And a rectangle with a length 13 and a width of 9

We now find the areas of the regular figures and add them together to get our answer

For the square.

To find the area of a square simply square the side length

Area = 4^2 = 16

For the rectangle

to find the area of the rectangle simply multiply the Length by the width

Area = 13*9= 117

Finally add the two areas together to get the area of the composite figure

117 + 16 = 133

Answer:

Books:Dollars = For each book it is $13. (1:13)

Minutes:Beats = For each minute there are 63 beats (1:63)

Step-by-step explanation:

Books and Dollars

Minutes and Beats