Petra invests $10,800. After 4 years she has earned $3240 in interest.
At what annual rate of interest did she invest her money?

Answers

Answer 1

Answer:

Rate =interest*100/principal*time

Rate = 7.5%

Step-by-step explanation:

Answer 2

At 7.5 % annual rate of interest did she invest her money.

What is rate of interest?

The percentage usually on an annual basis that is paid by the borrower to the lender for a loan of money is called rate of interest.

Given

Principal P = $10800

Time t = 4 years

I = 3240

Interest = [tex]\frac{P\times r \times t}{100}[/tex]

[tex]3240 = \frac{10800\times r \times 4}{100}[/tex]

[tex]r= \frac{3240\times 100}{10800\times 4}[/tex]

r = 7.5 %

At 7.5 % annual rate of interest did she invest her money.

Find out more information about rate of interest here

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Related Questions

Which numbers can go into 216 with no remainder? Select all that apply. 6 5 9 7​

Answers

Answer:

They are 6 and 9

Step-by-step explanation:

Answer:

Among the given numbers, 6 and 9 will go to 216 without leaving any remainder.

Hope it helps you

What time is shown on the clock

Answers

Answer:

9:18

Hope this helps <3

The time on the clock is 9:18

1. Give another name for liner r.

2. Name the intersection of lines r and s.

3. Name three collinear points.

4. Give another name for plane N.

Answers

Answer:

3

Step-by-step explanation:

PLEASE HELP!!!! Im being timed

Answers

1 I think???????????

The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?

Answers

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]

[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]

[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]

[tex] \hookrightarrow \: y = 6x + 1[/tex]

hence, measure of the third side is 6x + 1

In hours 3 3/8, John reads 4 1/2 chapters.
What is the unit rate in chapters per hour?
Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer:

1 1/3 chapters per hour

Step-by-step explanation:

eplaination is in the picture

What is the solution to the equation?
5 = 2/5a

A. 2
B. 4 3/5
C. 12 1/2
D. 25

Answers

Answer:

3 rd Option

Step-by-step explanation:

[tex]5 = \frac{2}{5} a[/tex]

=> 5 × 5 = 2a

=> 25 = 2a

[tex] = > \frac{25}{2} = a[/tex]

[tex] = > a = 12 \frac{1}{2} (ans)[/tex]

Find all real solutions to w^2-10w+1
In simplest form

Answers

Answer:

you can solve it using quadratic formula

w=5-2 √6 or w=5+ 2√6

X
6.
The table shows all the possible sums when rolling two number cubes numbered 1
What is the probability that rolling two cubes results in a sum of 8P
6
1
2
3
4
5
6
7
1
2
3
4
5
6
2 3 4 5
3 4 5 6
4 5 6 7
5 6 7 8
6 7 8 9
7 8 9 10
8 9. 10 11
7
8
9
10
11
12
Done

Answers

Answer:

Step-by-step explanation:

You can roll an 8 in the following ways

3 - 5

5 - 3

4 - 4

6 - 2

2 - 6

That's 5 ways that it can be done. There are a total of 36 ways to throw 2 dice.

The probability of getting an 8 is 5/36

Please help me I’m struggling! I’ll give a brainliest!!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)

Answers

Answer:

k=-5

Step-by-step explanation:

For the points to be collinear any two pair must have the same slope

We find the slope of the 2nd and 3rd points

=1-2/-1--3

=-1/2

Now finding the slope of the 1st and any other point say point 3

1-3/-1-k=-½

-2/-1-k=-½

-4=-1(-1-k)

-4=1+k

k=-4-1

k=-5

PROOF

if the first point is (-5,3)

slope of point 1 and 2

=2-3/-3--5

=-1/2

The track team needs new uniforms. the students plan to sell candies. the students find three companies for 44.80. company c charges

Answers

Answer:  Answer:

Company C

Step-by-step explanation:

Company A sells 12 tigers for $33.24.

Cost per tiger = $33.34 / 12

= $2.78

Company B sells 16 tigers for $44.80. Company

Cost per tiger = $44.80 / 16

= $2.8

C charges $41.10 for 15 tigers.

Cost per tiger = $41.10 / 15

= $2.74

The company that has the best buy is company C that charges $2.74 per tiger

Brainliest please

Need help with 11 and 10

Answers

Answer:

10: a

11: c

Step-by-step explanation:

10. Use the midpoint formula

[tex]\frac{-6+8}{2}[/tex], [tex]\frac{2+9}{2}[/tex] = 1, 5.5

11. 7 + 4 + 4 = 15

(add two fours because N is the midpoint)

Graham sold 6 magazines less than double what Adrianne sold, which of the following expressions represents graham’s sales? ( 9th grade, Algebra 1 )

Answers

Answer:

The expression that represents Graham's sales is: 2a - 6

Help help help me please

Answers

Answer:

6x - 4

Step-by-step explanation:

Cross out the 3 in the denominator and the 9, which simplifies to 2 times 3x, which is 6x.  For the second part, cross out 3 in the denominator and -6, which becomes 2 times (-2), which is -4.

What multiplied by 15 equals 750?

Answers

Answer:

50

Step-by-step explanation:

Emily received a check from her grandmother for $40.00 for her birthday. To cash the check, her bank requires her to deposit the funds into her account. Since she wanted to spend the money that afternoon, she withdrew $40.00 in the same transaction. Jacoby went on a hiking trip on the Rocky Bend Loop. Starting at an elevation of 1,200 feet, he hiked up the eastern trail leading to a change in elevation of 782 feet to get to the campsite. The next day he hiked down the western trail which had a change in elevation of 782 feet to get back to his car. During the top of the fourth inning of a baseball game, the Ravens scored three runs. During the bottom of the fourth inning, the Raiders scored five runs to tie the game. Marcus runs a sightseeing service in the Appalachian Mountains. The first leg of the tour is a 16.2-mile horseback ride from the stables up the side of a mountain. The second leg of the tour is a 20.6-mile four-wheeler ride taking a different path down the mountain to the customer parking lot. A carbon 12 atom has six neutrons, six protons, and six electrons. The neutrons have no charge, each proton has a positive charge, and each electron has a negative charge of the same magnitude. To start the second half of the basketball game, the Eagles made a jump shot for two points. The Bulldogs then took the ball down the court on a fast break and made a layup for two points.

Answers

Answer:

pretty sure ypu arent suppose to send your entire math homework like this

15 - (-8) answer if you could please and thank you

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

23

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\15-(-8)\\-----------\\\rightarrow 15-1(-8)\\\\\rightarrow 15 + 8 \\\\\rightarrow \boxed{23}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

anyone help me please
[tex] \frac{ \sqrt{x + 1} + \sqrt{x - 1} }{ (\sqrt{x + 1} - \sqrt{x - 1}) } + \frac{ \sqrt{x + 1} - \sqrt{x - 1} }{( \sqrt{x + 1} + \sqrt{x - 1}) } [/tex]

Answers

[tex]\\ \rm\hookrightarrow \dfrac{\sqrt{x+1}+\sqrt{x-1}}{\sqrt{x+1}-\sqrt{x-1}}+\dfrac{\sqrt{x+1}-\sqrt{x-1}}{\sqrt{x+1}+\sqrt{x-1}}[/tex]

[tex]\sf Let\begin{cases}\sf \sqrt{x+1}=a \\ \sf \sqrt{x-1}=b\end{cases}[/tex]

Now

[tex]\\ \rm\hookrightarrow \dfrac{a+b}{a-b}+\dfrac{a-b}{a+b}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{\left\{(a+b)(a+b)\right\}+\left\{(a-b)(a-b)\right\}}{(a+b)(a-b)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{(a+b)^2+(a-b)^2}{a^2-b^2}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{a^2+2ab+b^2+a^2-2ab+b^2}{a^2-b^2}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{2a^2+2b^2}{a^2-b^2}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{2(a^2+b^2)}{a^2-b^2}[/tex]

Put values

[tex]\\ \rm\hookrightarrow \dfrac{2\left[(\sqrt{x+1})^2+(\sqrt{x-1})^2\right]}{(\sqrt{x+1})^2-(\sqrt{x-1})^2}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{2(x+1)(x-1)}{(x+1)(x-1)}[/tex]

Take 2 common

[tex]\\ \rm\hookrightarrow 2\left(\dfrac{(x+1)(x-1)}{(x+1)(x-1)}\right)[/tex]

[tex]\\ \rm\hookrightarrow 2(1)[/tex]

[tex]\\ \rm\hookrightarrow 2[/tex]

Answer:

it was helpful to you dear ❣️❣️❣️❣️❤️❤️❤️

Please help work is due in a couple of minutes

Answers

Step-by-step explanation:

3m is the answer.

hope it helps

Answer:

3 meters

Step-by-step explanation:

The train starts at (0, 0) and ends at (6, 3). So the train travels in 6 seconds (6 - 0) 3 meters (3 - 0).

4. Explain the difference between (-5)² and - 5²​ PLZ HELP !!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

(-5)² = (-5) * (-5) = 25

Here Take square for (-5)

- 5²  = - 5 * 5   = - 25

Here take square for 5

Which does not represent an integer?


Question 1 options:


−182


45


9–√


0

Answers

Answer:

9 minus a square root is the answer I think...

Step-by-step explanation:

Integers are all positive&negative numbers + 0

What form of deductive reasoning is used in the given argument?

If it’s raining outside, I’ll wear my raincoat.
I am not wearing my raincoat.
It is not raining outside.

A.
law of detachment
B.
law of syllogism
C.
law of contrapositive
D.
identification of counterexample

Answers

Answer:

C.

law of contrapositive

Answer:

law of contrapositive

Step-by-step explanation:

i need help!!!! what does x equal?

Answers

Answer:

17

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

We can find the missing angle inside the triangle by doing 180 - 94 = 86.

Every triangle has 3 angles that add up to equal 180 so we can set these three angles to equal 180.

60 + 86 + 2x = 180

146 + 2x = 180

Subtract 146 from both sides

2x = 34

Divide by 2 to isolate x

x = 17

−2/5×5/9 if you may please help i would appreciate i deeply
'

Answers

Answer:

[tex] \frac{ - 2}{5} \times \frac{5}{9} \\ \frac{ - 2 \times 5}{5 \times 9} \\ \frac{ - 10}{45} \\by \: diving \: both \: numbers \: by \: five \: we \: get \\ \frac{ - 2}{9} [/tex]

I hope it helped U

stay safe stay happy

Answer: - 2/9

Alternative Answer: 0.222222222 (Repeated)

Step-by-step explanation:

- 2/5 x 5/9

Reduce the numbers with the greatest common factor 5

- 2 x 1/9

Simplify and calculate the product

- 2/9 or - 0.2222222 (Repeated)

Learn more: https://brainly.com/question/12262792

Plz HELPPPPPPP!!!!!!!!!!

Answers

Do you what explanation?

7) In an old episode of the TV program McGyver, a planeload of gold was being transported from the SovietUnion to the United States during WWU. The place crashed in the Arctic region. To prevent the "badguys" from getting the gold, the pilot and copilot transferred the gold into a cave by stacking it on a door
of the crashed plane and dragging the "sled" into the cave. You were led to believe in the episode that
they accomplished the move in one trip. The gold was stacked neatly in the shape of a cube, measuring
about 1 meter on a side. Calculate the weight, in tons, of one cubic meter of gold. The density of gold is
19.4 g/cc. Would it have been possible for the two pilots to accomplish this feat? Would a plane of WWII
vintage be able to carry this much gold? (cc = cubic centimeter, 1cm = 1mL)

Answers

Here we need to remember that:

density = mass/volume

Only by using this equation, we will find that the mass of gold is 19,400 kg

In this case, we know that the gold is in the shape of a cube with side length of one meter.

Remember that for a cube of side length L, the volume is:

V = L^3

Then in this case, the volume of the cube of gold will be:

V = (1m)^3  = 1m^3

And we know that the density of the gold is:

density = 19.4 g/cc

cc = cm^3

density = 19.4 g/cm^3

Notice that we have different units of volume, so we would want to write the volume in cm^3

We know that:

1m^3 = (1×10^6)cm^3

Then the volume of the cube of gold is just:

V = (1×10^6)cm^3 = 1,000,000 cm^3

Now let's return to the density equation:

density = mass/volume

Solving for the mass, we get:

density×volume = mass

Now we can replace the two things in the left side:

(19.4 g/cm^3)×(1,000,000 cm^3) = mass = 19,400,000 g

Now remember that:

1000k = 1kg

Then we can rewrite:

mass = 19,400,000 g = (19,400,000/1000)kg = 19,400 kg

So the cube of gold has a mass of  19,400 kg, there is no way that two persons could carry this much gold into a cave.

if you want to learn more, you can read:

https://brainly.com/question/18320053

Solve for p.

8 − 4(2p − 2) = 7 + p + 9

p =

Answers

Answer:

p = 0

Step-by-step explanation:

[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]

➡️ [tex]8 - 8p + 8 = 16 + p[/tex]

➡️ [tex]16 - 8p = 16 + p[/tex]

➡️ [tex] - 8p = p[/tex]

➡️ [tex] - 8p - p = 0[/tex]

➡️ [tex] - 9p = 0[/tex]

➡️ [tex]p = 0[/tex]

Please i need help

Solve by factorisation.

5x^2 + 7x + 2 = 0

Answers

Answer:

[tex]\huge\boxed{\sf Solution \ Set = \{-1, \ -2/5\}}[/tex]

Step-by-step explanation:

[tex]\sf 5x^2+7x+2 = 0\\\\By \ mid-term\ break,\\\\5x^2 + 5x+2x+2=0\\\\Taking \ common\\\\5x(x+1)+2(x+1)=0\\\\Take \ (x+1) \ common\\\\(x+1)(5x+2)=0\\\\Either, (By \ Zero's \ Method)\\\\x+1 = 0 \ \ \ OR \ \ \ 5x + 2 = 0\\\\x = -1 \ \ \ OR \ \ \ x = -2/5\\\\Solution \ Set = \{-1, \ -2/5\}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

Can somebody please help me?

Answers

Answer:

Second option,domain:  negative infinity, 4 and range, negative infinity, 3

The domain are all the x's that you can input into a function. It looks like the function goes to all x's from negative infinity until it hits positive 4. that's why it is -infinity, 4 for the domain.

The range is all the y's that are outputted. As you can see, the function goes to all y's from negative infinity to 3.

Step-by-step explanation:

a b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x

Answers

Answer:

∠x = 78

Step-by-step explanation:

∠y + ∠1 = 180

=> 125 + ∠1 = 180

=> ∠1 = 180 - 125

=> ∠1 = 55

∠z + ∠2 = 360

=> 313 + ∠2 = 360

=> ∠2 = 360-313

=> ∠2 = 47

∠1 + ∠2 + ∠x = 180

=> 55 + 47 + ∠x = 180

=> ∠x = 180 - 55 - 47

=> ∠x = 78

Answer:

[tex]x=78[/tex]

Step-by-step explanation:

Skills needed: Exterior Angle Theorem, Triangle Geometry:

1) We need to solve for [tex]x[/tex] and there are 2 methods to do it. I will go over the fastest way (since it's better).

This involves the exterior angle theorem (see the image attached to see how that works.

2) In order to use this theorem, we need to solve for the angle near [tex]z[/tex]. This angle would be [tex]360-z[/tex], which is [tex]360-313[/tex] (since [tex]z=313[/tex]).

[tex]360-313[/tex] = [tex]47[/tex]

3) Then, we can use the fact that [tex]y=x+47[/tex] (47 is the measure of the angle we just solved for.)

[tex]y=125[/tex], so [tex]125=x+47[/tex]

Subtract 47 from both sides, and get [tex]x=78[/tex]

Hope you understood and have a nice day! :D

Note: I have attached one image that shows my work, and another image that shows the exterior angle theorem (which I created on a whiteboard). Hope you get it! If you have any questions, comment and I can answer it ASAP!

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