Susan borrowed $25,000 from a bank for one year at the rate of 10.5% per annum. Compute the amount she must pay to the bank to clear her loan amount; interest is compounded half-yearly.

Answer:

see image

Step-by-step explanation:

Angle 3

Angle F

Angle HFG

Angle GFH

(I can't type an angle symbol, so i put it on the image.)

It is an acute angle.

An acute angle is smaller than 90°.

A right angle is square, it is exactly 90°.

An obtuse angle is larger than 90°.

A straight angle is 180° and looks like a straight line.

Answer:

16/81

Step-by-step explanation:

(2/3)^4  = (2/3)*(2/3)*(2/3)*(2/3)

             = 16/81

Answer:

acute, right, and scalene

Step-by-step explanation:

acute - under 90 degrees

right - 90 degrees

scalene - 3 unequal sides

Answers:

5) product is [tex]35ax^2 - 42axy + 7y^2[/tex]

6) product is [tex]-a^6b^2 - 8a^5b - 5a^4[/tex]

7) product is [tex]12x^5y + 6x^4y^2 + 21x^3y^3[/tex]

8) product is [tex]3x^3y^2 - 6x^3y + 3x^5y - 3x^4y[/tex]

9) product is [tex]x^{3n} + 7x^{n+1} - 3x^n[/tex]

=============================================

Explanation:

For each of these questions, you'll multiply the term outside by each term inside the parenthesis. I'm using the distributive property.

In problem 5, we multiply the outer 7a by the following terms inside like so

[tex]7a(5x^2-2xy+y^2-4xy)\\\\7a(5x^2-6xy+y^2)\\\\7a(5x^2)+7a(-6xy)+7a(y^2)\\\\35ax^2-42axy+7ay^2\\\\[/tex]

The other problems will have similar steps.

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A useful rule to keep in mind is that [tex]a^b*a^c = a^{b+c}[/tex]

For example, [tex]x^2*x^3 = x^{2+3} = x^5[/tex]

Answer:

(-10)^33

Step-by-step explanation:

Answer:

[tex](-10)^{33}[/tex]

Step-by-step explanation:

[tex]\frac{(-10)^{37} }{(-10)^{4} } =(-10)^{37-4} =(-10)^{33}[/tex]

Hope this helps

Answer:

4 cups

Step-by-step explanation:

wt. cups

3/4 lb. 3

1 lb. ?

4/3*3 = 4 cups

1 pound of broccoli would produce 4 cups of broccoli florets.

Given that 3/4 pound (or 0.75 pounds) of broccoli produces 3 cups of broccoli florets.

If we assume that the ratio remains constant, we can calculate the approximate number of cups of broccoli florets in 1 pound of broccoli:

1 pound of broccoli is equal to 1.33 times the weight of 3/4 pound of broccoli (since 1 pound is 1.33 times larger than 3/4 pound).

So, multiplying 3 cups by 1.33 gives us 3.99 cups of broccoli florets in 1 pound of broccoli.

Therefore, 1 pound of broccoli would produce 4 cups of broccoli florets.

To learn more on Unit of Measurement click:

https://brainly.com/question/12629581

#SPJ6

Answer:

c; y = 2x

Step-by-step explanation:

if it was without the coupon the fee would be the $2 per mile (2x) with the $35 which would be

y = 2x + 35

but with the coupon the $35 reservation is removed so only 2x is left

y = 2x

Answer:

11 pieces.Step-by-step explanation:We must divide 8 1/4 by 3/48 1/4 = 33/4Dividing:33/4 / 3/4= 33/4 * 4/3= 33/3= 11.

Step-by-step explanation:

11 pieces.Step-by-step explanation:We must divide 8 1/4 by 3/48 1/4 = 33/4Dividing:33/4 / 3/4= 33/4 * 4/3= 33/3= 11.

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

To calculate the distance between her and the building, we make use of the following tangent ratio

[tex]\tan(\theta) = \frac{h}{d}[/tex]

Where:

So, we have:

[tex]\tan(40) = \frac{130}{d}[/tex]

Make d the subject

[tex]d = \frac{130}{\tan(40)}[/tex]

Evaluate tan(40)

[tex]d = \frac{130}{0.8391}[/tex]

[tex]d = 154.93[/tex]

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

[tex]\Delta d = 172.53 - 154.93[/tex]

[tex]\Delta d = 17.6[/tex]

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

https://brainly.com/question/4326804

The number of minutes that will take them to do one loop in a track of 20 m long is approximately 4 minutes

The speed of the toy engine around the Christmas tree is 300 meters/hour.

The number of minute for them to do one loop if the track are 20m long is as follows:

1 loop = 20m distance

Therefore,

300 = 20 / t

t = 20 / 300

t = 1 / 15 hours

t = 3.9999999996

t ≈ 4 minutes

learn more on time here: https://brainly.com/question/17199920?referrer=searchResults

Answer:

d = 10

Step-by-step explanation:

Ok, so we know that the horizontal distance between the points is 6 and the vertical distance is 8.  Using the Pythagorean theorem we know that 8^2+6^2=d^2 (d is the distance between points). When solving we get

8^2+6^2=d^2

64+36=d^2

100=d^2

d=10

Answer:

[tex]y=8[/tex]

Step-by-step explanation:

[tex]\frac{2}{7} =\frac{y}{28}[/tex]

Multiply both sides by 28.

[tex]\frac{2}{7} * 28=y[/tex]

Express [tex]\frac{2}{7} *28[/tex] as a single fraction.

[tex]\frac{2*28}{7} =y[/tex]

Multiply 2 and 28 to get 56.

[tex]\frac{56}{7}=y[/tex]

Divide 56 by 7 to get 8.

[tex]8=y[/tex]

Swap sides so that all variable terms are on the left hand side.

[tex]y=8[/tex]

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Answer:

1 because the solution is (1,-3)

Step-by-step explanation:

solution to the system is (1,-3)

Answer:

the solution of a y=mx+b system of equations is always where the lines intersect, in this instance it is at x=1  y=-3. so your answer is 1. additionally if your lines never intersect i.e. are parallel then there is no solution. similarly if the equations yield the same line then they have an infinite number of real number solutions in which case for your answer you would put this symbol ---> ℝ

Step-by-step explanation:

Answer:

27/32

Step-by-step explanation:

to solve 3/8 ÷ 4/9 you must multiply 3/8 by the reciprocal of 4/9

so, 3/8 × 9/4 = 27/32

Answer:

3/8÷4/9= 27/32

Step-by-step explanation:

the '/' is separating the numbers as fractions

Answer:

V = 192 m3

Step-by-step explanation:

Answer: 1170 grams

Step-by-step explanation:

130x9=1170

since one cone weighs 130 gram you would just multiply 130 and 9 to get the eight of all 9 cones

Answer:

1170

Step-by-step explanation:

If 1 cone is 130 then you gotta do 130 times 9 which equals 1170

Answer:

D and I

Step-by-step explanation:

Answer:

(2-3)-(2-3)

Step-by-step explanation:

So If You Calculate the first (2-3) your answer will be -1 Then You Will Calculate The Answers Which are:(-1)-(-1) Then You Will Get 0

Answer:

a=3 (i think)

Step-by-step explanation:

Answer:

48.33%

Step-by-step explanation:

if you ever have problems with percents

you should probably use calculator soup :)

have a nice day!

Answer:

1/42 is the answer because 1/7 divide by 6/1, so 7x6=42 and 1x1=1.

Answer:

The answer is 1.35

Step-by-step explanation:

well you first take the quarters (0.25) and dimes (0.10) amount and add them together (0.35). Then divide that amount with 4.75 and you get your answer!

Hope this helped!

Answer:

[tex]x=\sqrt{23}[/tex]

Step-by-step explanation:

So the eqaution for the hypotonuse is [tex]a^{2}+b^{2} =c^{2}[/tex]

Therefore...

[tex]\sqrt{16} +\sqrt{x^{2} }=\sqrt{27}\\ 4+x =\sqrt{27} \\x=\sqrt{23}[/tex]

Answer:

P+Q=5x²+4 and P-Q=x²+4x-16

Step-by-step explanation:

For P+Q

[tex]=3x^{2} +2x-6+2x^{2} -2x+10\\\\=5x^{2} +2x-2x-6+10\\\\=5x^{2} +4[/tex]

For P-Q

[tex]=3x^{2} +2x-6-(2x^{2} -2x+10)\\\\=3x^{2} +2x-6-2x^{2} +2x-10\\\\=x^{2} +4x-16[/tex]

Answer:

25

Step-by-step explanation:

175 ÷ 7 = 25

each child will get 25 stickers.

Answer:

You move vertically by -1 units

Step-by-step explanation:

The slope is rise over run.

This slope means you go down 1 unit as you go to the right 3 units

This is a graph with a negative slope, so it comes from the top left to the bottom right.

-Chetan K

[tex]\huge\fbox{Hello\:there!}[/tex]

Remember, one of the ways we can find the slope is

[tex]\rm\displaystyle\frac{Rise}{Run}[/tex]

Where

[tex]\rm{\underline{Rise}}[/tex] is the amount of units we move up or down (vertically)

[tex]\rm{Run[/tex] is the amount of units we move left or right (horizontally)

So, given the slope

[tex]\displaystyle-\frac{1}{3}[/tex]

how many units do we move vertically?

Let's look at the slope.

As we can see, the Rise is -1. (Answer)

Thus, we move

-1 units vertically. (1 unit down)

Hope it helps you.

~Just a felicitous teen willing to help

#HaveANiceDay

[tex]\bf{-MistySparkles^**^*[/tex]

Answer:

y = -2

Step-by-step explanation:

The y-intercept is the y-coordinate of the point where the curve intersects (crosses) the y-axis, i.e. when x = 0.

Therefore, to find the y-intercept, substitute x = 0 into the function:

[tex]f(0)=\sqrt[3]{0+1} -3=\sqrt[3]{1} -3=1-3=-2[/tex]

Therefore, the curve crosses the y-axis at (0, -2) and so the y-intercept is

y = -2.

Answer:

Step-by-step explanation:

The corner of a rectangle must be 90 degrees. 2x-10=90, x=50.