What is the simple interest earned on a $1,000 principle, with a 7.8% interest rate, after 4 years? (Show your work)

Answers

Answer 1

Answer:

312

Step-by-step explanation:

1000x.078=78 interest per year

78 interest x4 years=312 interest after 4 years.


Related Questions

Jim is repainting a free-throw key of a basketball court. the free-throw is made by combining a rectangle and a semicircle, as shown below. In order to know how much paint to purchase, Jim will determine the area of the free-throw key. What is the total area, to the nearest whole square foot, of the free-throw key shown in the diagram?

Answers

Answer:

285

Step-by-step explanation:

First find the area of the rectangle

A = l*w

A = 19*12 = 228

The find the area of the semicircle

A = 1/2 pi r^2

 We know the diameter is 12 so the radius is half the diameter so  1/2 (12) = 6

A = 1/2 (3.14)(6)^2

   = 1/2 (3.14) (36)

  = 56.52

Add the two areas together

225+56.52

284.52

Rounding to the nearest whole number

285

Which set of three angles could represent the interior angles of a triangle?
19 degrees, 70 degrees, 91 degrees
47 degrees, 12 degrees, 31 degrees
50 degrees, 20 degrees, 20 degrees
25 degrees, 25 degrees, 100 degrees

Answers

Answer:

19 degrees, 70 degrees, 91 degrees

Step-by-step explanation:

to make an interior angle of a triangle you need to make a 180-degree triangle and 19+70+91 make 180 degrees

Answer:

19, 70, 91

Step-by-step explanation:

19 + 70 + 91 = 180. Everything else doesn't add up to 180.

Which number could not be a value of x?

Answers

Answer:

21

Step-by-step explanation:

The values for the third side of a triangle must be greater than the difference of the two other sides and less than the sum of the two other sides

12 -8 < x < 12+8

4 < x < 20

The third side cannot be 21

Answer:

21

Step-by-step explanation:

The sum of two sides of a triangle must be greater than the third side

is 3 equivalent to this? yes or no? ill give brainliest

Answers

Answer:

No

Step-by-step explanation:

This is 3 times 3

3 would be 3 with a 1 instead of a 2

How does the graph of y = 3^xcompare to the graph of y = 3^-x?
A. The graphs are the same.
B.The graphs are reflected across the x-axis.
C. The graphs are reflected across the y-axis.​

Answers

Answer:

C

Step-by-step explanation:

The graphs are reflected across the y-axis.

a man in a boat rowing from light house whose height is 200 meter.he takes 2minutes to change the angle of elevation top of light house from 60⁰ and 45⁰ find speed of boat​

Answers

Answer:

The speed of the boat is approximately 0.704 m/s

Step-by-step explanation:

The time it takes the man in the boat to change the angle of elevation from 60° to 45°, t = 2 minutes = 120 seconds

The height of the light house = 200 m

Given that the angle of elevation is reducing, the direction of the man is away from the lighthouse

The initial distance of the man in the boat from the lighthouse = 200 m/(tan(60°)) = (200/√3) m

The final distance of the man in the boat from the lighthouse = 200 m/(tan(45°)) = 200 m

The distance traveled in 2 minutes, d = 200 m - (200/√3) m ≈ 84.53 m

The speed of the boat, v = d/t

∴ v = 84.53 m/(2 min × 60 s/min) ≈ 0.704 m/s

The speed of the boat, v ≈ 0.704 m/s.

In Texas, the distance from Austin to Brownwood is 141 miles. It is 171 miles from Brownwood to Corsicana and 157 miles from Corsicana to Austin.
Determine the angle between the routes from Brownwood. Show your work

Answers

Answer: acute angles

Step-by-step explanation:

The angle between the routes from Brownwood is Acute angle.

What is Acute angle?

Acute angle is an" angle that measures less than 90 degree".

According to the question,

Distance from Austin to Brownwood is 141 miles and distance from Brownwood to Corsicana to Austin 171miles and distance from Corsicana to Austin is 157 miles.

In order to find an angle between routes from Brownwood is Acute angle.

Hence,  the angle between the routes from Brownwood is Acute angle.

Learn more about Acute angle here

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which inequality is represented by the graph

A. 7/10x-2y > or equal 5
B. 10/7x -2y< or equal 5
C. 7x+10y > or equal 5
D. 2x-7y> or equal 3

Answers

Answer:

i would be a be i solve 15 minutes

B

The ratio of boys who play soccer, hockey and
rugby at a high school is 6:4:5 respectively.
If there are 72 boys playing hockey, how many
boys are there altogether at this high school?

Answers

Answer:

270

Step-by-step explanation:

72 ÷ 4 = 18

6 + 5 = 11

18 × 11 = 198

198 + 72 = 270

Two runners are participating on a 720-metre circular track. They run in opposite directions, each at a constant speed. The first runner needs four minutes to complete the full loop and the second runner needs five minutes. How many metres does the second runner travel between two consecutive meetings of the two runners?

Answers

Happy Pride Month!

Answer:

320m

Step-by-step explanation:

let the two runners be A and B

with Va and Vb as their velocities

velocity=distance/time

Va=720/4*60

=3m/s

Vb=720/5*60

=2.4m/s

Let the 2 runners start from a common position X and meet at Y

so the 2 consecutive meetings happen at X and Y

so we have to find time of meeting at Y as we know that of X (which is t=0)

720=Va*t+Vb*t

t(5.4)=720

t=133.33 or t=720/5.4

therefore distance travelled by B =Vb*t

=2.4*720/5.4

=319.99m

=320m

WILL GIVE BRAINLIEST: What is the local minimum value of the function g(x)=x^4-5x^2+4? (Round answer to the nearest hundredth)

Answers

Answer:

Step-by-step explanation:

you can find where the first derivative is 0 to find the critical points

g'(x) = ( x^4 -5x^2 +4)' = 4x³-10x

g'(x) =0, make y =0 to find find where g'(x) is 0

4x³-10x =0 , factor 2x

2x(2x²-5)= 0 , each factor must be 0

2x= 0, so x= 0

2x²-5 =0, so x = ±√5/2

we now have 3 critical points -√5/2, 0, and √5/2

make intervals (-∞, -√5/2), (-√5/2, 0) , (0, √5/2) and (√5/2, +∞)

pick a point to test on each interval: -2, -1, 1 and 2 for example, and

calculate g'(x) = 4x³-10x at those points

for x= -2 we have 4(-2)³-10(-2) = -12 , negative number, decrease

for x= -1 we have 4(-1)³-10(-1) =6, positive number, increase

for x= 1 we have 4(1)³-10(1) = -6, negative number, decrease

for x= 2 we have 4(2)³-10(2) = 12, positive number, increase

we went from a decrease to an increase on intervals (-∞, -√5/2), (-√5/2, 0) so x= - √5/2 ≈ -1.58 is a minimum

we went from a decrease to an increase on intervals (0, √5/2), (√5/2, +∞) so

x= √5/2 ≈ 1.58 is a minimum as well

I need help again... please and thank you very much you are helping

Answers

Answer:

$3.15

Step-by-step explanation:

Method 1:

4 oranges = 1.40

9 oranges = x

1.40 / 4 = 0.35

This is 0.35 per orange

0.35 x 9 = 3.15

$3.15

Method 2:

1.40/4 = x/9

12.6 = 4x       (cross multiply 9 and 1.4 and cross multiply 4 and x)

x = 12.6 / 4

x = 3.15

$3.15

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which of the following choices shows another way to write the ratio 7:13?
A. 7 out of 13
b. 13 to 7
c. 52.84%
d. All of these choices are correct.

Answers

A because it’s the only one that makes the best sense
B does not make sense it is the opposite of what ur trying to find
C is not a correct percentage, the correct Percentage would be 53.84%
D which can’t be correct because choice b and c are not correct

Which of these strategies would eliminate a variable in the system of equations?
2x — бу = 6
6x – 4y = 2

Answers

Answer: A and B


Explanation: I’ll use A as an example. When you multiply the bottom equation by -3/2, the equation becomes: -9x+6y=-3. Then, proceed to add the equations. Look at X and Y in both equations: do the Y variables in both equations equal to 0 when added together? Yes, because -6y+6y=0! Therefore, you can eliminate y in these two equations.




Hope that’s helps シ

Find the sale price of an $70 item after a 50% discount.

Answers

Answer:

$35

Step-by-step explanation:

[tex]\frac{50}{30}*70=35[/tex]

50% off of $70 is- $35

I’m so lost guys lol send help

Answers

Answer:

(x−10)(x^2+10x+100)

Explanation:

I talked to my partner, you can call them "G00gle"

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

Firstly , You'll have to know the formula of a³ - b³ i.e a³ - b³ = ( a - b ) ( a² + ab + b² )

What's the cube root of 1000 ? - It's 10 ! How ? [tex] \sqrt[3]{1000} = \sqrt[3]{ \underline{10} \times \underline{ 1 0} \times \underline{ 10} } = \boxed{10}[/tex]

[tex] \large{ \tt{❁ \: LET'S\: START}} : [/tex]

[tex] \large{ \bf{ ❀ \: \ {x}^{3 } - 1000}}[/tex]

- Write the number into the exponential form with the exponent 3 :

[tex] \large{ \bf{↦ {x}^{3} - {10}^{3} }}[/tex]

- Here , Suppose ' x ' as ' a ' & ' 10 ' as ' b '. Use the formula of a³ - b³ :

[tex]↦{ \large{ \bf{(x - 10)( {x}^{2} + x \times 10 + {10}^{2} }}})[/tex]

[tex]↦ \boxed{\large{ \bf{(x - 10)( {x}^{2} + 10x + 100) }}}[/tex]

Hence , Second option is the correct choice !

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Which statement correctly describes the translations used to graph the following exponential function?
h (2) = 32-2 +4
translate 2 units left and 4chgits up
translate 2 units left and 4 units down
translate 2 units right and 4 units up
translate 2 units right and 4 units down
1
2
3

Answers

Answer:

1.is the answer:)............

If you buy stocks for $20 per share and then sell it for $2 per share, what be the amount of the capital lost?

Answers

I think $10 per share. it depends on how many shares you buy and sell

How many times would the cricket mostly likely chirp per minute if the temperature outside were 76^{\circ} ∘ F?

Answers

Answer:

834 chirps

Step-by-step explanation:

Given the data:

Chirps in 1 min Temperature (°F)

781 74

1039 85.9

1156 87.2

1218 87.8

1131 91.4

888 75.5

Using technology, the regression model obtained will be in the form :

y = bx + c

b = slope ; c = intercept

y = temperature ; x = chirps per minute

The regression model is :

ŷ= 43.28 + 0.0390x

If outside temperature, y = 76 ; x will be ;

76 = 43.28 + 0.0390x

76 - 43.28 = 0.0390x

32.72 = 0.0390x

x = 32.72 / 0.0390

x = 838.97435

x = 834 chirps per minute

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

[tex]Volume~of~cylinder=\pi r^2h[/tex]

[tex]\pi *(10)^2*5[/tex][tex]500\pi[/tex][tex]1570.8~m^3[/tex]

-------------------------

hope it helps..

have a great day!!

Answer:

I believe it would be 1570.

Step-by-step explanation:

The formula to find the volume of a cylinder is:

V = pi • r² • h

The diameter is usually 2x the radius:

20m ÷ 2 = 10

The radius would be 10m.

3.14 • 10² • 5 = 1570 cubic m

Find m∠ABD and m∠CBD given m∠ABC = 111∘.

Answers

Answer:

m∠ABD = 88º

m∠CBD = 23º

Step-by-step explanation:

(-10x + 58) + (6x + 41) = 111

Combine like terms

-4x + 99 = 111

Subtract 99 from both sides

-4x = 12

Divide both sides by -4

x = -3

------------------------

m∠ABD = -10x + 58

m∠ABD = -10(-3) + 58

m∠ABD =  = 30 + 58

m∠ABD = 88º

m∠CBD = 6x + 41

m∠CBD = 6(-3) + 41

m∠CBD = -18 + 41

m∠CBD = 23º

Answer:

88, 23

Step-by-step explanation:

<ABD + <DBC = <ABC

(-10x + 58) + (6x + 41) = 111

-10x + 58 + 6x + 41 = 111

99 - 4x = 111

-4x = 111-99

-4x = 12

x = 12/-4

x = -3

m∠ABD = -10x + 58

m∠ABD = -10(-3) + 58

m∠ABD =  = 30 + 58

m∠ABD = 88º

<DBC = 6x + 41 = 6*-3 + 41 = -18 + 41 = 23

Hope it helps u

Please mark as brainliest

pls help pls answer correctly pls no links pls i beg

Answers

Answer:

djdjdjfjfjfgffjfjjfjfkff

PLS HELP WILL GIVE YOU BRAINLIEST!!!!!!!!!!!!
A contractor determined the average amount of time needed to build a house. * When 5 workers are used, it takes 52 days to build the house. * When 20 workers are used, it takes 13 days to build the house. if W represents the number of workers and D represents the number of days required to build the house, which statement is true about this relationship?
A) The time required to build a house varies directly with the number of workers because d=260w.
B) The time required to build a house varies directly with the number of workers because wd= 260.
C) The time required to build a house varies inversely with the number of workers because d=260w.
D) The time required to build a house varies inversely with the number of workers because wd= 260.

Answers

the number of workers because d=260w.

D) The time required to build a house varies inversely with the number of workers because wd= 260.

Answer:

BAKAAHAKAKAKAKAKAKAKAKAKAKKAKA

Step-by-step explanation:

NSJLLLLLLLLLLLLLLLLLL

cKASN.ANV.ANV,.ADNV,.ANDA,.NV.ANANV

=) Asif deposits $650 into a bank paying a simple interest. He leaves the money there
for 5 years. At the end of the 5 years, the amount in the bank is $763.75.
Calculate the percentage rate of interest the bank paid per year.

Answers

Answer:

interest he got per year is 22.75

Step-by-step explanation:

deposited money = 650

after 5 years = 763.75

interest he got = 763.75 - 650

                         = 113.75

interest he got each year = 113.75 / 5

                                          = 22.75

WILL GIVE BRAINLIEST AND THANKS. find the value of x

Answers

Answer:

12

Step-by-step explanation:

20² - 16² = x²

400 - 256 = x

400 - 256 = 144

√144 = 12

What are the two smallest consecutive odd integers whose sum is greater than 17

Answers

Answer:

9 and 11

Step-by-step explanation:

Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.

Which equation can be used to find the number of times Maria hiked each trail?

Answers

Answer:

5x+10y=90

Step-by-step explanation:

The equation that can be used to find the number of times Maria hiked each trail is 5x + 10y = 90.

How to depict the equation?

From the information, Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail.

x represent the number of times Maria hiked the mountain trail.

y represent the number of times Maria hiked the canal trail.

The equation will be:

= (5 × x) + (10 × y) = 90

= 5x + 10y = 90

The equation is 5x + 10y = 90.

Learn more about equations on:

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Diana earns $9.95 per hour
working at the bank. She
needs to save at least
9
$200.00 in 3 weeks.
Which inequality can be used
to determine h, the number of
hours she needs to work to
reach her goal?

Answers

Answer:

m = $9.00 * h.

Step-by-step explanation:

hours: 4, 5, 6, 7,

money: 34, 42.5, 51, 59.5,

x3 + 5y when x = 4, y = -3

Answers

Answer:

49

Step-by-step explanation:

4^3=64

5(-3)=-15

64+(-15)=49

Answer:

49

Step-by-step explanation:

First, because of the order of operations, you would do 4^3 (or four to the power of three) first to get 64. 5×-3 is equal to -15, and a positive number plus a negative number is just that positive number minus a positive version of the negative number, if that even makes sense. Basically, 35 + -2 would be equal to 35-2. 64-15 is equal to 49, which is your answer!

I hope this helped you!

Help! For solving the compound inequality

Answers

Click on the second choice, the 3x one

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