If a person lent $500 at 24% simple interest per annum for 8 years, then what is the amount of
interest received by him at the end of 8 years?

The answer is $960, but I don't know how to solve it.

10.125

Step-by-step explanation:

Answer:

10.125

Step-by-step explanation:

Answer: C

Step-by-step explanation:

[tex]4^{-11/3 -(-2/3)=4^{-11/3 + 2/3}=4^{-3}=1/64[/tex]

Answer:

2 hours 11 minutes

Step-by-step explanation:

Each hour Sally can paint 1/3 rooms, Steve can paint 1/8 rooms.

If they work together, each hour they can paint 1/3 + 1/8 = 11/24 rooms.

So They will take 1/(11/24) = 24/11 = 2.18 hours to paint a whole room.

2.18 hours = 2 hours 0.18*60 minutes

0.18 * 60 = 11

Answer: 2 hours 11 minutes

Answer:

3

Step-by-step explanation:

(x + 1) : (3x + 1) = 8 : 20

20(x + 1) = 8(3x + 1)

20x + 20 = 24x + 8

12 = 4x

x = 3

Answer:

−1.25 or -5/4

Step-by-step explanation:

Equation

19/24 = -5/6x - 1/4

first swap sides so that all variable terms are on the left hand side

-5/6x - 1/4 = 19/24

add 1/4 to both sides.

-5/6x = 19/24 + 1/4

Least common multiple of 24 and 4 is 24. Convert 19/24 and 1/4 to fractions with a denominator of 24.

-5/6x = 19/24 + 6/24

Since 19/24 and 6/24 have the same denominator, add them by adding their numerators.

-5/6x = 19+6/24

Add 19 and 6 to get 25

-5/6x = 25/24

Multiply both sides by -6/5, the reciprocal of -5/6

x = 25/24 (-6/5)

Multiply 25/24 times -6/5 by multiplying numerator times numerator and denominator times denominator.

x = 25(-6) / 24x5

Do the multiplications in the fraction 25(-6) / 24x5

x = -150/120

Reduce the fraction -150/120 to the lowest terms by extracting and canceling out 30

x = -5/4

With verification

First write the equation and our value for x

19/24 = -5/6x - 1/4

x = -5/4

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

-5/6x - 1/4 = 19/24

convert -5/6x to have the same denominator of 19/24.

-5 (4)

-6 (4)

== -20/24x

write the full equation with the converted variable

-20/24x - 1/4 = 19/24

Convert 1/4 to have the same denominator of 19/24

1 (6)

4 (6)

== 6/24

write the full equation with the converted variable and retain the minus sign

-20/24x - 6/24 = 19/24

write our value of X

-5/4

convert x to have the same denominator of -20/24x

-5(6)

-4(6)

= -30/24

x = -30/24

replace x in -20/24x with our updated value of x

-20/24(-30/24)

Multiply -20/24 by -30/24

= 25/24

write the full equation

25/24 - 6/24 = 19/24

subtract 25/24 by 6/24

19/24 = 19/24

the fraction 19/24 is equal to 19/24

verification complete

Answer:

The rate of change is M= -9/13 (M= negative nine over thirteen)

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

1 1/2 as mixed fraction = 3/2

3/4 + 3/4 = 3/2

2 2/3 as a mixed fraction = 8/3

7/3 + 1/3 = 8/3

Answer

what is 50 divided by 20 is 2.5

Step-by-step explanation:

Answer:

5/2 (in fraction) or 2.5 (in decimal)

Step-by-step explanation:

50 = 5*10

20 = 2*10

50 divided by 20,

50/20

= 5/2 (in fraction)

(or)

= 2.5 (in decimal)

Answer:

A. surface area is 188.5

B. volume is 197.92

And for C its number 2

Answer:

Step-by-step explanation:

diameter  = 12 cm

r = 12/2 = 6 cm

[tex]Area \ of \ semicircle = \dfrac{1}{2}\pi r^{2}\\\\\\=\dfrac{1}{2}* 3.14*6*6\\\\\\= 56.52 \ cm^{2}[/tex]

Answer:

P > 9

Step-by-step explanation:

first, you add 3 to both sides,

2p > P + 9

then subtracts P from both sides,

P > 9

your final answer is P > 9

Hope this helps! :)

Here's how we solve inequalities:

Final Answer: p>9

Have an awesome day!

[tex]\huge\text{\bf{TheStarryNights\::D}}[/tex]

Answer: Length - 40 cm, Width - 6cm

Step-by-step explanation:

Let the length of the rectangle = 20x.

Then, the width of the rectangle must = 3x by the ratio given.

The area of a rectangle is the length*width, which we are given as 240.

Therefore, 20x*3x = 240

We can combine like terms:

60x^2 = 240

Divide both sides by 60:

x^2 = 4

Square root both sides:

x = ± 2.

Since the sides of a rectangle cannot be negative, x must equal to 2.

The length of the rectangle is 20x, which is 20*2 = 40.

The width of the rectangle is 3x, which is 3*2 = 6.

Answer:

Fractions are equal when one fraction can be obtained from the other.

Step-by-step explanation:

equality means a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.

Answer:

J. 310 miles

Step-by-step explanation:

166.5+68.4+72.75 divided by 3 because there's three numbers you're adding together and you get 307.65 rounded up it's 310

Answer:

Decimal Form: 0.08333333333

Step-by-step explanation:

Multiply all the numbers without variables:

2x3=6

6x8=48

4f=48=1

Divide both sides by 4 and u get:

12=1

Divide both side by 12 and you get:

0.08333333333

Answer:

I believe answer would be B

Step-by-step explanation:

I put the equation into desmos and B looks like the answer.

The graph of the polar curve r = 1 + sinФ is shown.

A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
r = 1 + sin(θ)
Using formula ,
r = a±bsinФ

Where,
a > 0 and b >0
and a = b
graph the cardioid.
r = 1 - sinФ

Thus, the graph of the polar curve r = 1 + sinФ is shown.

Learn more about graphs here:

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it is 1 11/56

if i am right can u give brainliest

Answer:

122 m²

Step-by-step explanation:

Radius r = 10 m.

For a whole circle, the area is πr², that is for 360° at the center.

Now the angle is 140°, so the area of the shaded region is (140/360) πr² = 140 * 3.14 * 100/360 = 122 m²

Answer:

-2.8 / 4

Step-by-step explanation:

The equivalent expression for the change in the goat's temperature each hour is A = -0.7°F/hour

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let's say the initial temperature of the goat was T1, and the final temperature after 4 hours was T2.

Now , the total change in temperature over the 4 hours is:

T2 - T1 = -2.8°F

The average change in temperature per hour can be expressed as:

The average change in temperature per hour = total change in temperature / number of hours

The average change in temperature per hour = (-2.8°F) / 4 hours

On simplifying the equation , we get

The average change in temperature per hour = -0.7°F/hour

Hence , the expression for the average change in the goat's temperature each hour is A = -0.7°F/hour

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Answer:

for substitution, make one of the alphabet (x or y) a subject from one of the equation and substitute it in the other equation.

for elimination, name the equations as 1 and 2, and try to find a possible equation 3 then substitute equation 3 into equation 1 or 2 and you'll finally get your answer

should I solve it?

Answer:

Step-by-step explanation:

6x+y = 4x+11y, isolate y terms on one side and x terms on another side by subtract 11y to both sides and subtract 6x to both sides

y -11y = 4x -6x, combine like terms

 -10y = -2x , divide both sides by -10

      y = (-2/-10)x, simplify the fraction

      y = (1/5) x

[tex]\tt 6x+y=4x+11y\\\\6x-4x=11y-y\\\\2x=10y\\\\y=0.2x[/tex]

y=-3x + 4

Slope intercept form is y=mx+b

m = slope

b = y-intercept

If you look on the graph, you can see that 4 is the point in which it is intercepted on the y-axis, so that is the y-intercept. This means that b is 4.

b=4

y=-3x+4

Answer:

11

Step-by-step explanation:

Answer:

tan²Θ

Step-by-step explanation:

simplify the expression using the identities

secΘ = [tex]\frac{1}{cos0}[/tex]

tan²Θ = sec²Θ - 1

then

[tex]\frac{cos0-cos^30}{cos^30}[/tex] ( divide each term on the numerator by cos³Θ

= [tex]\frac{cos0}{cos^30}[/tex] - [tex]\frac{cos^30}{cos^30}[/tex]

= [tex]\frac{1}{cos^20}[/tex] - 1

= sec²Θ - 1

= tan²Θ

Answer:

[tex]\tan^2(\theta)[/tex]

Step-by-step explanation:

Assuming this is

[tex]\dfrac{\cos(\theta)-cos^3(\theta)}{cos^3(\theta)}[/tex]

Trig identities used:

[tex]\sin^2(\theta)+\cos^2(\theta)=1 \implies 1-\cos^2(\theta)=\sin^2(\theta)[/tex]

[tex]\dfrac{\cos(\theta)-cos^3(\theta)}{cos^3(\theta)}[/tex]

[tex]=\dfrac{\cos(\theta)(1-cos^2(\theta))}{cos^3(\theta)}[/tex]

[tex]=\dfrac{1-cos^2(\theta)}{cos^2(\theta)}[/tex]

[tex]=\dfrac{sin^2(\theta)}{cos^2(\theta)}[/tex]

[tex]=\tan^2(\theta)[/tex]

Answer:

the first one is the answer

Answer:

janelles score is 62

Step-by-step explanation:

Answer:

NO

Step-by-step explanation: