Mr. Mitchell deposited $4000 in a bank and earned simple intrest at 7% per annum for 2 years.
(i) Calculate the amount he will recive at the end of the 2 year period.(Hint find the simple intrest first...)

Answers

Answer 1

Answer:

interest per annum is 280

interest for 2 year is 560

Step-by-step explanation:

money deposited in bank = 4000

1persent of 4000 = 40

7 persent of 4000 = 280

interest for 2 year is 280 x 2 = 560

Mark me as Brainest

Related Questions

Decrease 80ml by 40%

Answers

Answer:

48ml

because its the correct answer!

Answer:

48 ml

Step-by-step explanation.  80, percentage decreased by 40% (percent) of its value = 48

The population P (in thousands) of a certain city from 2000 through 2014 can be modeled by P = 160.4ekt, where t represents the year, with t = 0 corresponding to 2000. In 2007, the population of the city was about 162,075. Find the k value

Answers

Answer:

The k value is [tex]k = 0.0015[/tex]

Step-by-step explanation:

Population:

The population P(in thousands), of the city, in t years after 2000, is given by the following equation:

[tex]P(t) = 160.4e^{kt}[/tex]

In 2007, the population of the city was about 162,075.

This means that [tex]P(7) = 162.075[/tex], that is, when [tex]t = 7, P(t) = 162.075[/tex]

Find the k value

[tex]P(t) = 160.4e^{kt}[/tex]

[tex]162.075 = 160.4e^{7k}[/tex]

[tex]e^{7k} = \frac{162.075}{160.4}[/tex]

[tex]\ln{e^{7k}} = \ln{\frac{162.075}{160.4}}[/tex]

[tex]7k = \ln{\frac{162.075}{160.4}}[/tex]

[tex]k = \frac{\ln{\frac{162.075}{160.4}}}{7}[/tex]

[tex]k = 0.0015[/tex]

The k value is [tex]k = 0.0015[/tex]

PLZ HELP ITS URGENT

Answers

it is blurry so take it again

The angle of depression from the top of a cliff to an ant on the ground is 35 degrees. If the ant is 280 feet from the base of the cliff, how tall is the cliff.

Answers

Answer:

Answer: 315

Step-by-step explanation:

please please HELP me! this is due tonight

explaining your answer = brainliest/five star rating

the peremiter is 15 cm. c = ___ cm?

Answers

Answer:

4

Step-by-step explanation:

the perimeter is the the total length of the shape. we already know that the two sides is 8, and 3 cm. we also know that the perimeter is 15cm. 8+3 is 11 so we need to figure out the remaining length of the side. 15-11 is 4 so the missing length, c, is 4 cm.

Without computing, select all of the expressions that have the same value as
74 · (29 + 56).
A. 74 · 29 + 56
B.74 + (29 + 56)
C. 74 + (56 · 29)
D. (74 · 29) + (74 • 56)
E. (56 +29) · 74

Answers

Answer:

The answer I'd the option D

The length of the diameter of a sphere is 8 inches. The volume of the sphere is
_______. ​the surface area of the sphere

A. equal to
B. less than
C. greater than

Answers

I’m pretty sure the answer is A - equal to

Answer Please
...................................................................

Answers

Answer:

Step-by-step explanation:

In rectangle , diagonals are equal and bisect each other.

FI = EI

6x - 5 = 2x + 7  {subtract 2x from both side}

6x - 2x -5 = 7

       4x - 5 = 7     {Add 5 to both sides}

           4x  = 7 +5

           4x = 12 {Divide bot sides by 4}

            x = 12/4

x = 3

EI = 2x + 7 = 2*3 +7 = 6 +7

EI = 13 units

EG = 2 *EI = 13 * 2

EG = 26 units

ΔFIG is an isosceles triangle.

IGF = ∠IFG = x

x +  x + 120 = 180  {Angle sum property}

2x + 120 = 180 {Subtract 120 form both sides}

       2x   = 180 - 120

       2x = 60

         x = 60/2

         x = 30

∠IGF = ∠IFG = 30

EH // FG   and FH is transversal.

∠IHE = ∠IFG    {Alternate interior angles}

∠IHE = 30°

The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,96) and (6,144) to find
the number of soda bottles the machine can make
each minute.

Answers

Answer:

The machine can make 24 bottles of soda per minute

Step-by-step explanation:

Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line

Thus, by calculating the slope using the given points, we can have the number of bottles per minute

We have the formula as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (4,96)

(x2,y2) = (6,144)

m = (144-96)/(6-4) = 48/2 = 24

The area of sector A08 is 48x and m<AOB = 270º. Find the radius of circle O.


6 Acirde shown below.bas center C What is the area of the shaded region?​

Answers

Answer:

Step-by-step explanation:

The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:

[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle of the circle. For us, that fills in as follows:

[tex]48\pi=\frac{270}{360}*\pi r^2[/tex] and manipulate it as follows:

[tex]r^2=\frac{(360)(48\pi)}{270\pi}[/tex] the π's cancel out, leaving us with simple multiplication and division to get

r = 8. Now for the next one, which is a bit more involved.

In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:

[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ again is the measure of the central angle of the circle, 90°:

[tex]A_s=\frac{90}{360}(3.1415)(10)^2[/tex] which simplifies a bit to

[tex]A_s=\frac{1}{4}(3.1415)(100)[/tex], giving us an area of

[tex]A_s=78.5375m^2[/tex]. Now onto the area of the triangle.

Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:

[tex]A_t=\frac{1}{2}(10)(10)[/tex] which is

[tex]A_t=50m^2[/tex]

Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.

what is the 66th term in the following arithmetic sequence
-93, -85, -78, -71

Answers

Answer:

d=  a2- a1

hence d= -85-(-93) = -85+93 = 8

a1= -93

d= 8

n=66

hence a66=a1+(n-1)d

a66= -93+ 65(8)

=-93+520

=427

66th term=427

pls mark as brainliest

What is point d on the coordinate

Answers

Algebra

The formula to find the coordinate is (x,y)

Meaning, point D is (1,4)

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

(1,4)  

»»————- ★ ————-««  

Here’s why:  

We can tell from the graph that point 'D' is located one unit right and 4 units up from the origin. This means that point 'D' is (1, 4).

⸻⸻⸻⸻

»»————- ★ ————-««  

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

What is the volume of a rectangular prism with a length of 5 cm, width of 4cm, and height of
9cm?

Answers

Answer:

180cm^3

Step-by-step explanation:

All you have to do is multiply everything together to get the volume. l x w x h

Answer:

The answer is 180 cubic centimeters.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula V= LWH. Next, plug in the information given from the question, and the formula will look like V= (5cm) (4cm) (9cm).

Then, solve the equation for the answer, and the answer will be 180 cubic centimeters.

What would it be I got it wrong ?

Answers

The correct answer is the fourth choice
The answer to it would be D

Find the missing side

Answers

Answer:

x = 20.31 inches

Step-by-step explanation:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(62^{\circ})=\frac{x}{23}[/tex]

[tex]23sin(62^{\circ})=x[/tex]

[tex]x=20.3079464[/tex]

[tex]x\approx20.31[/tex]

Therefore, the missing side is 20.31 inches long.

Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1)

Answers

Answer:

y = (-1/4)x

Step-by-step explanation:

the factor of x is in a line equation the slope of the line.

it residents actually the ratio of y/x.

in our original equation that means that for every change of x by 1 unit y changes by 4 units (actually -4 units) => -4/1 ratio.

a perpendicular line just reverses that ratio.

now, x had to change by 4 units for y to change by 1 unit (actually -1 unit)

=> -1/4

so, our wanted line equation must be in the form of

y = (-1/4)x + c

c is the offset of the line from the (0,0) point in y direction.

so, what is c ?

now we use the information of the point that is stored to be in that line : (4,-1)

=> -1 = (-1/4)×4 + c

=> -1 = -1 + c

=> c = 0

therefore, the desired line is

y = (-1/4)x

Just help me out
Brainlist will be given

Answers

Answer:

Answer is 18 , because you add 15 and 3 which makes 18 so your answrer is x=18

Step-by-step explanation:

really hope this helped , please give me brainlest :) .

scale factor = 18/10 = 1.8
AC = 15 x 1.8 = 27
So x = 17
(this is for ABE similar to ACD)

15+3=18
18/15= 1.2
scale factor= 1.2
10x1.2= 12
12-10=2
x=2
(this is for AEB similar to ADC)

Use the perfect square trinomial identity to write this expression in factored form:
x2 + 10x + 25.

Answers

X^2 + 10x + 25
(X + 5)^2

Answer:

[tex] {x}^{2} + 10x + 25 \\ = ( {x}^{2} + 10x + {5}^{2} ) + (25 - {5}^{2} ) \\ = {(x + 5)}^{2} [/tex]

13 In a school, students must study at least one language from German, French and Spanish.
DO NOT WRITE IN THIS AREA
There are 30 students in a class of this school.
Of these students
7 study all three of the languages
10 study both German and French
12 study both Spanish and German
9 study both French and Spanish
16 study Spanish
18 study German
Work out the total number of the students in the class who study French.
You may use the Venn diagram to help with your calculations.

Answers

Answer:

20 students

Step-by-step explanation:

looking at the venn diagram above you calculate all the numbers in the French circle which total to 20.

Leo bought 50 lbs of clay for his art projects. He used 12.5 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Leo make if he had 27.42 lbs of clay left over?

Answers

Answer:

Total number of mug = 14 mugs

Step-by-step explanation:

Given:

Total amount of Clay Leo bought = 50 lbs

Total amount of Clay left = 27.42 lbs

Total amount of Clay used in sculpture = 12.5 lbs

Amount of clay each muh need = 0.72 lbs

Find;

Total number of mug

Computation:

Assume;

Total number of mug = a

So,

Total amount of Clay Leo bought = Total amount of Clay left + Total amount of Clay used in sculpture + (Amount of clay each muh need)(Amount of clay each muh need)

50 = 27.42 + 12.5 + (0.72)(a)

50 = 39.92 + (0.72)(a)

(0.72)(a) = 10.08

a = 14

Total number of mug = 14 mugs

someone help tysm will give brainliest !!

Answers

Answer:

11. A) x = 2 .    B) x=-1 .   C) x = 0

12. A) y = 20 . C) y = -3 . D) y = 0

Step-by-step explanation:

When the line is vertical, take the x coordinate

When the line is horizontal, take the y coordinate

If my answer is incorrect, pls correct me!

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

-Chetan K

What is the pair of vertical angles.

Answers

Answer:

C.

Step-by-step explanation:

Answer:

=answer is the vertical angles

C

Find the vertex: y=1/2 x^2+2x-3

Please explain how to find the answer too!

Answers

Answer:

(-2,-5)

Step-by-step explanation:

Y=x^2/2 +2x-3

Y=1/2 ×(x+2)^2 -5

a=1/2

h=-2

k=-5

(-2,-5)

The requried vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).

What is a parabola?

A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².

To find the vertex of the parabola defined by the equation y = (1/2)x² + 2x - 3, we can use the fact that the vertex is located at the point (-b/2a, f(-b/2a)), where a and b are the coefficients of the quadratic term and the linear term, respectively.

In this case, a = 1/2 and b = 2, so we can substitute these values into the formula to get:

x-coordinate of vertex = -b/2a = -2/(2*1/2) = -2

To find the y-coordinate of the vertex, we can substitute this value of x into the equation and simplify:

y-coordinate of vertex = (1/2)(-2)² + 2(-2) - 3

= 1/2(4) - 4 - 3

= -5

Therefore, the vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).

Learn more about parabola here:

brainly.com/question/4074088

#SPJ2

pls pls pls help don't ignore imma fail

Answers

Answer:

6 as b

7 as a

Step-by-step explanation:

if indeed the scale is 3 to 1, this is correct! the answer is B

Find the volume of the sphere.
Either enter an exact answer in terms of 1 or use 3.14 for and round your final answer to the nearest
hundredth.5

Answers

Answer:

The volume of the sphere is  523.60

Step-by-step explanation:

The formula for volume of a sphere is :

V = [tex]\frac{4}{3} \pi r^{3}[/tex]

The radius of this sphere is 5, so let's plug that into our equation.

V = [tex]\frac{4}{3}[/tex] · [tex]\pi[/tex] · [tex]5^{3}[/tex]

≈ 523. 59878

Rounded to the nearest hundreth that is 523.60.

find the length of each side of an equilateral triangle whose perimeter is 36m​

Answers

Answer:

12m

Step-by-step explanation:

36÷3=12

Hope this helps! :)

Brittany’s Hot Tub. When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 minutes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.
a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.
b. How high is the tub when it is full?
c. After how many minutes will the tub be empty?
d. What values of the domain, t, make sense? Why?
e. What values of the range, h, make sense? Why?

Answers

Answer:

a. h = -2t + 29

b. 14.5 inches (not sure)

c. 5 1/2 minutes

d. The domain means the amount of time elapsed.

e. The value of h means the height of the water left

Step-by-step explanation:

Please help me with the right answer kitties it’s pretty easy but I can’t do it because of my lazy butt

Answers

Answer:

It is D and if you don't the y-values increase by 9.

Use the spinner to find the theoretical probability of the event.



The theoretical probability of spinning a multiple of 2 is

Answers

Answer:

1/2

Step-by-step explanation:

Theoretical probability is probability based on reasoning.

In the spinner there are 6 segments, of those 6 segments there are three multiples of two: 2,4,6

Therefore the probability of spinning a multiple of two is 3/6 (or 1/2)

ANswer it please just do it

Answers

78%

14/18 is 77.78%

Rounded to the nearest percent is 78%

Hope this helps!

Answer:

14 out of 18 which is 14/18 = .7777 = 77.7%

Step-by-step explanation:

Other Questions
PLEASEEEEE HELPPPPP PLEASEEE !!! What is the main device used on fourth generation computer The circumference of a circle is approximately 39.25 mm. What is the length of the diameter? Can someone please help asap thank you A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange. By what percentage is the grapcfruit heavier than the apple? X,Y and Z are three points on a unit sphere (i.e. a sphere with radius 1). The spacedistance between any pair of the three points is 2 . An ant can onlycrawl on the surface of the sphere. The ant starts from point X, passes through points Y and Z, and then returns to X. What is the shortest possible distance of this trip?Give me an answer please. PLEASE HELP THIS IS DUE NOWwill mark brainliest!10 points Effective leadership involves all the following, except: a. Managing oneself through personal time management, stress management, and other activities b. Managing team members through motivation, delegation, supervision, and team building c. Maintaining tight control of all project resources and providing information to team members only as needed d. Employing and utilizing project champions where they can benefit the project Help pleasee! I need to get this right. Which tool uses columns and rows to communicate data or information? Describe one civil rights law that was passed, or a court case that was won, and who -specifically name a person or a group - resisted it.Please help!! its due today! Only answer if you're very good at Math.What is the minimum value of the function g(x) = x^2 - 6x - 12?A: -21B: 3-21C: 3D:3+ 21 Giving brainly help find Find mH. Which equation is represented by the graph below?54+3+2+1 2 3 4 5X54 -3 -2 -11-27-3-4 Which of the following occurred as a result of the Cuban Missile Crisis:A.The Soviets helped Fidel Castro launch a communist revolution in CubaB. Both the Soviets and the US increased their production of atomic weaponsC. A treaty banning the production of nuclear weapons was signedD. A communications hotline was established between the two superpowers Identifying an individual's genetically influenced health risks could increase their potential to achieve optimal health. In paragraph 5, the word minimum comes from a Latin root word that means small. How does knowing this help you to understand the word maximum, which appears later in the sentence? A. It shows that maximum has the same ending as minimum. B. It shows that the two words are related. C. It shows that maximum appears to be the opposite of minimum. D. It shows that the two words have a similar meaning. La formula quimica de la molecula de agua H20 , si H = 1 gramos y O = 16 gramos . Cual es su composicion porcentual ? 88,88 % de O y 11,11 % de H 88,88 % de H Y 11,11% de O 80 % de O Y 20 % de H 90% de O Y 10 % de H Trnh by khi nim c im ca mi trng v m, mi trng v m gm nhng yu t no, phn tch mi trng kinh t trong mi trng v m ? V d Describe two ways how social media platforms are abused