) Dara invests $800 at 12.5% per annum compound
interest compounded half- yearly .What in his amount of
interest at the end of the first year?

Answers

Answer 1

answer: $1,012.50

Step-by-step explanation:

12.5 ÷ 100 = 0.125

0.125 × 800 = 100

800 + 100= 900 ( half-yearly interest)

0.125 × 900 = 112.5

900 + 112.5 = $1,012.50 ( end of first year interest)


Related Questions

a is the point with coordinates (4,6)
b is the point with coordinates (d,21)
the graident of line AB is 3
what is the value of d

Answers

Answer:

d = 9

Step-by-step explanation:

Calculate the slope of ab then equate to 3.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)

m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )

3(d - 4) = 15 ( divide both sides by 3 )

d - 4 = 5 ( add 4 to both sides )

d = 9

How do you solve for all values of x by factoring

Answers

Answer:

Just follow the guideline given below.

Step-by-step explanation:

To solve values of x by factoring, you need to follow these steps:

1. Move all terms to one side of the equation, usually the left, using addition or subtraction.

2. Factor the equation completely.

3. Set each factor equal to zero, and solve it.

4. List each solution from 3 as a solution to the original equation.

You usually end up with an answer like x =.. or x = ... and so on.

A sector with a radius of 15cm has a central angle measure of 8pi/5 (in radians)

Answers

Answer:

565.49 cm2

Step-by-step explanation:

The area of a circle is given by:

Area = pi * r^2

And the whole area represents a central angle of 2pi.

Then, to find the area of this sector, we just need to use a rule of three:

area of pi * r^2 -> central angle of 2pi

area of x -> central angle of 8pi/5

x * 2pi = pi * r^2 * 8pi/5

2x = r^2 * 8pi/5

x = r^2 * 4pi/5 = 15^2 * 4pi/5 = 565.49 cm2

Answer:180pi cm^2

Step-by-step explanation:

Cuz I got it right

Please help I don’t get it!!!
( I will mark brainliest!)

Answers

Answer:

15/4 OR 3 whole number 3/4

Step-by-step explanation:

Could you please help with this question

Answers

Answer:

0

Step-by-step explanation:

Smallest value of C would be when A = - 2 and B = - 2

[tex]\because C = (A - B) ^2 \\ \therefore C = \{ - 2- ( - 2) \}^2 \\ \therefore C = \{ - 2 + 2 \}^2 \\ \therefore C = \{ 0 \}^2 \\ \huge \red{ \boxed{\therefore C = 0}}[/tex]

yea this is the answer is 0

HELP ME PLEASE!!! URGENT!!

Answers

Answer:

False

Step-by-step explanation:

See how the bottom of the line F(x) just drops off? That means there isn't an even decline, meaning even the inverse would have an uneven slope.

This line cannot be a function, no matter which way you turn it.

Answer:

false

Step-by-step explanation:

f is  on the Opisite side.

4. In the hockey season, Chris had 150 shots on goal. She scored on 22% of her
shots. How many goals did she score?

Answers

Answer:

She scored on 33 of them

Step-by-step explanation:

You take 150 and multiply it by .22. which is 22%

3. A $5,000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interest for the year is $170, then how much is invested in each account?

Answers

Answer:

threee

Step-by-step explanation:

Calculate the area of the circle below. (Use 3.14 for Pi)


A. 200.96 square inches
B. 50.24 square inches
C. 25.12 square inches
D. 401.92 square inches

Answers

Answer:

A =200.96 in ^2

Step-by-step explanation:

The radius of the circle is 8 in

The area of the circle is

A = pi r^2

A = 3.14 * 8^2

A =200.96 in ^2

Answer:

A is the answer

Step-by-step explanation:

Area of a circle= 3.14*8^2

8^2=64

64*3.14=200.96

5y + 3 > −7y + 13 Multi-step linear inequalities

Answers

Answer:

y > [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given

5y + 3 > - 7y + 13 ( add 7y to both sides )

12y + 3 > 13 ( subtract 3 from both sides )

12y > 10 ( divide both sides by 12 )

y > [tex]\frac{10}{12}[/tex] , that is

y > [tex]\frac{5}{6}[/tex]

Traduce el enunciado a expresión algebraica La suma de dos números pares consecutivos

Answers

Answer:

The answer is "Expression: x+(x+2)".

Step-by-step explanation:

Given:

The sum of two consecutive even numbers

Proving:

Let,

The First number is = x

The second consecutive number is = x+2

Calculating value by adding value:

Expression:

[tex]\Rightarrow x+(x+2)\\\\[/tex]

when x= 1, 2, 3 .... it gives:

[tex]\Rightarrow 1+(1+2)= 1+3=4\\\\\Rightarrow 2+(2+2)= 2+4=6\\\\\Rightarrow 3+(3+2)= 3+5=8\\[/tex]

That's why the sum of consecutive numbers is even.

What is the ratio of the volume of Cylinder A to the volume of Cylinder B? If cylinder A has a radius of 3 and a height of 4 and cylinder B has a radius of 4 and a height of 3

Answers

Answer:

3:4

Step-by-step explanation:

Volume of cylinder A = V= π[tex]r^{2}[/tex]h = r,3 h,4 = [tex]\pi[/tex]36

Volume of cylinder B = V= π[tex]r^{2}[/tex]h = r,4 h,3 = [tex]\pi[/tex]48

Ratio of the volume = [tex]\frac{36}{48}[/tex]

= [tex]\frac{18}{24}[/tex]

= [tex]\frac{9}{12}[/tex]

= [tex]\frac{3}{4}[/tex]

= 3:4

Hope it helps!

Mark as brainliest!

All corresponding sides are proportional (same ratio) in similar figures. True or False

Answers

Answer:

true

Step-by-step explanation:

is it true? i am not sure

The total cost for my brother's bowling party was \$140 sign, 140. It cost \$50$ sign, 50 to reserve a bowling lane plus the cost of renting shoes for the 9 c people attending.

Answers

Answer:

$10

Step-by-step explanation:

see attachment for the complete question.

140 - 50=90

90 divided by 9 is 10  

Therefore,the cost of shoes per person is $10.

107.843137255 to 1 decimal point

Answers

Answer:

107.8

Step-by-step explanation:

1 decimal point is the tenths place, thus we have 107.8

Round 2,461,612,242 to the nearest billion

Answers

Answer:

2,000,000,000.

Step-by-step explanation:

We know that when rounding, we take a look at the digit next to the digit we are rounding. So if I were to ask for you to round 122 to the nearest hundred, then the answer would be 100.

Remember that we round down if the digit next to it is 0-4. If the digit is 5-9, then we round up.

In this case, the digit next to the 2 is a 4. We know that we round down with a 4, so we go to the nearest whole billion, in this case 2 billion.

I hope this helps!

Find the inverse of the function Y=(X -4) cubed

Answers

Step-by-step explanation:

replace x with y and y with x

How do you calculate the interquartile range of a dot plot or data set?

Answers

Answer:

The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Step-by-step explanation:

hope this helps

correct me if this is wrong

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
Quadratic formula: x =
- Vb2 - 4 ac
2a

Answers

Answer: ([tex]\frac{-5 +\sqrt{5} }{2}[/tex], 0), ([tex]\frac{-5 -\sqrt{5} }{2}[/tex], 0)

Step-by-step explanation: Let me know if you need an explanation.

Please help, I am very confused!!!!!

Answers

Answer:

6 times 7 times 8

Step-by-step explanation:

An article is purchased for Rs.5000 andsold for Rs.4500.Find loss percent

Answers

Answer:

10% loss

Step-by-step explanation:

the difference = Rs. 5000 -Rs. 4500 = Rs. 500

Rs. 500/Rs. 5000*100%= 10%

Since it was reduction in price, it is 10% loss

How many solutions does the system have

Answers

Answer:

Step-by-step explanation:

28x-12y=16 and -6x-12y=3

or

14x-6y=4 and -14-28y=1

or

-28x-12y=16 and 28x-56y=14

Can someone please answer this I’m stuck

Answers

The system has no solutions.
To do this question I started out by trying to solve the simultaneous equations using substitution.
First we can simplify 6x = 12y - 24 by dividing everything by 6, which gives us:
x = 2y - 4
Then we can substitute this into the second equation:
30y - 15(2y - 4) + 30 = 0
30y - 30y + 60 + 30 = 0
90 = 0
As this is obviously not true, we can conclude that the system has no solution.
I hope this helps! Let me know if you have any questions :)

Below is the graph of y=bx. Find b. On a coordinate plane, an exponential function approaches the x-axis in quadrant 1 and increases exponentially in quadrant 2. b =

Answers

Answer:

b=0.5

and the other part is:

B.) The graph shows exponential decay

D.) The graph shows y=2^x reflected over the y-axis

Step-by-step explanation:

i just did this problem on edge 2020

Answer: 0.5, B&D

Step-by-step explanation:

find 8x^3 -22x^2 -4
divided by 4x-3

Answers

i think it is 13 srry if im wrong
use long division method/syntactic division

The area of a rectangular piece of land is 2/3 square mile. One dimension
is 1 1/2 miles.

Answers

Answer:

1

Step-by-step explanation:

The Other Dimension:

2/3 divided by 1 1/2 = 2/3 x 3/2 = 1

Hope this helps

Ps. I have taken the dimension length to be  a mixed number, because they were farther apart. please let me know if wrong

Graph the points ( 0, 2 ), ( 6, 2 ), ( 7, 4 ), ( 1, 4 ) and connect the points in order to create a parallelogram. What is the perimeter of the parallelogram? Is the perimeter a rational or irrational number? How do you know?)

Answers

Answer: 16, rational

Step-by-step explanation: because its a real number

can someone help and where do I put the, ​

Answers

Answer:

[tex]4000[/tex]

Step-by-step explanation:

[tex]8949-5324[/tex]

[tex]=3625[/tex]

Katherine earned 84, 92, 84, 75, and 70 on her first 5 tests.
What is the minimum grade Katherine needs to earn on the next test to have a mean of 84?

Answers

Answer:

D

Step-by-step explanation:

Okay, so the best way to find is too plug in the answer choices.

to find the mean you: add all the numbers up and then, you divide it by however many numbers there are.

minimum meaning exactly 84 no greater!

Start with letter choice A

84+92+84+75+70+81=486

486/6=81 which is  below minimum

Next is letter choice B

84+92+84+75+70+84=489

84/6=81.5 which is below minimum

Next is letter choice C

84+92+84+75+70+95=500

500/6=83.3 which is below minimum

Next is letter choice D

84+92+84+75+70+99=504

504/6=84 which is the correct answer

pls mark me brainliest

84 ounces is how many pounds?​

Answers

Answer:

5.25 pounds

Step-by-step explanation:

We know that 16 ounces  = 1 pound

Divide 84 ounces by 1 pound

84/16 = 5.25 pounds

Answer:

[tex]5.25 \: \: pounds[/tex]

Step-by-step explanation:

[tex]1 \: \: pounds = 16 \: ounces \\ [/tex]

so,

[tex]84 \: \: ounce = 5.25 \: \: pounds[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

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