What is the number of years in which $560.00 will earn $112.00 at 4% per annum? *​

Answers

Answer 1

Answer:

The answer is "5 years".

Step-by-step explanation:

[tex]S.I= \$ \ 112.00\\\\P= \$ \ 560.00\\\\R= 4 \%\\\\T=?\\\\\bold{Formula:}\\\\\bold{S.I= \frac{P \times R \times T}{100}}\\\\T= \frac{S.I \times 100}{P \times R}\\\\T= \frac{112\times 100}{560 \times 4}\\\\T= \frac{28\times 100}{560}\\\\T=\frac{100}{20}\\\\T=5 \ years\\[/tex]


Related Questions

The pot has a diameter of 10 inches a height of 12 inches. there are 120 meatballs each meatball is 2.4 inches. the sauce takes up half the pot already. determine if the sauce overflows or not. pls help its due in an hour! ):

Answers

the answer is c

Step-by-step explanation:

if butter the dog jumps two times and falls one time then how many times has he jumped?

Answers

Answer:1 or 3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

There are 12 people in a class they are asked wether they have a brother or sister 9 say they have a brother 7 say they have a sister 2 say they have neither

Answers

Step-by-step explanation:

Here is the work in the middle there would be 2 because the have neither brother or sister

Answer:

2

Step-by-step explanation:

Food Mart and Jan’s Store sell boxes of the same type of breakfast cereal.

Each shop has a special offer.

food mart has 400 g, 20% off the normal price of £5

jans store 400 g plus 30% extra £5

Which box of cereal is the better value for money?

You must show your working

someone help pleaseee

Answers

Answer:

The box of cereal bought at Farm store is a better value for money

Step-by-step explanation:

To answer this question question, we will need to be making a comparison. The comparison i will like to make with the two offers is price per grammes ( £/g). The offer with a better price or higher price per grammes win.

Let’s proceed!

For the food mart,

we are paying 20% off £5 for 400g

let’s calculate 20% off £5

That would be 5-(20/100 * 5) = 5-1 = £4

The price per grammes here is £4/400g = £0.01/g

For Jans store ;

we have 400g plus 30% extra at £5

What we need do here is to first calculate 30% extra of 400g

Mathematically, that would be 30/100 * 400 = 120

Total grammes here is 120 + 400 = 520g

Price per grammes here would be ; £5/520g = £0.00962/g

This is lesser than what we have at Food mart as 0.01 > 0.0096

On Rectangle QRST below, if Q is located at -6,-1 and S is located at 1, 5, find RT

Answers

Answer:

[tex]|RT|=\sqrt{85}$ units[/tex]

Step-by-step explanation:

On Rectangle QRST

QS is congruent to RT since they are opposite side of a rectangle.

If Q is located at (-6,-1) and S is located at (1, 5), we simply find the length of QS using the distance formula.

For points [tex](x_1,y_1)$ and (x_2,y_2)[/tex] on the coordinate axis,

Distance[tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this case,[tex](x_1,y_1)=(-6,-1)$ and (x_2,y_2)=(1, 5)[/tex]

[tex]|QS|=\sqrt{(1-(-6))^2+(5-(-1))^2}\\=\sqrt{(1+6)^2+(5+1)^2}\\=\sqrt{(7)^2+(6)^2}\\|QS|=\sqrt{85}$ units[/tex]

Since

[tex]|QS| \cong |RT|\\ |RT|=\sqrt{85}$ units[/tex]


Mark is 4 years older than his brother Mike. If the sum of their ages is 20 how old are they now?​

Answers

x + x + 4 = 20

x + x = 16

16 / 2 = 8

Mike is 8, and Mark is 12.

When graphing an equation in slope-intercept form, what is the first step.

Answers

Answer:

Typically the answer is Graph the y intercept because when you do slope intercept you cant always start with the origin unless you don't have a b to base it off of.

simplify (3mn)4 (with work please)

Answers

Answer:

12mn

Step-by-step explanation:

Just multiply 4 by 3

Which is a reasonable first step that can be used to solve the equation 2(x + 6) = 3(x - 4) + 5?


Combine like terms, 3 and 5, on the right side of the equation.
Distribute 2 to x on the left side of the equation and 3 to x on the right of the equation.
Distribute 2 to (x + 6) and 3 to (X - 4)
Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.​

Answers

Answer:

Distribute 2 to (x+6) and 3 to (x-4)

Step-by-step explanation:

The first thing you need to do when solving an equation with parenthesis is to always simplify the expression first before solving. This makes it easier to solve the equation.

which of the following are true

Answers

Answer:

the 4 one maybe

Step-by-step explanation:

Subtract (3x^3+4x^2)-(2x^3+3x^2-x)

Answers

Answer:

X^3 + x^2 + x

Step-by-step explanation:

First, distribute the negative sign to the numbers in the second parentheses. Then you’ll need to combine like terms.

what is a unit rate?​

Answers

Answer:

A unit rate is like a calculator or price per unit. that you will have to divide the numerator by the denominator.

Step-by-step explanation:

Example: "A motorcycle travels 230 miles on 4 gallons of gasoline." basically you will have to find the average mileage per gallon of how much that motorcycle used.

I'm not sure if this helped. sorry

?????????????????????????????????????????????????????????????????????????????????????????????????????????yo pls help

Answers

Answer:

75 pieces

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

You can use process of elimination, first, it's asking for pieces, not ounces, it's also must be larger than 45 since the other variable is increasing.

Determine which of the given numbers are zeros of the polynomial g(x)=x^4+6x^3-x^2-30x.


a.) 2, 3

b.) 0, -1

c.) 2, -1

d.) 0, 2

Answers

Answer:

d.) 0, 2

Step-by-step explanation:

I graphed the polynomial on the graph below to find the zeros of the function.

If this answer is correct, please make me Brainliest!

A rectangle has a height of t? + 7t +6 and a width of 2t + 1.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer:

2t^3+15t^2+19t+6

Step-by-step explanation:

(t^2+7t+6)(2t+1)

=t^2*2t+t^2*1+7t*2t+7t*1+6*2t+6*1

=2t^3+15t^2+7t+12t+6

=2t^3+15t^2+19t+6


Lexi runs a race at school. She runs at a rate of 4 miles per hour for the first mile, then increases her rate to 5 miles per hour until the last mile when she runs 6 miles per hour. Which equation below represents her time, T. In hours, If she runs a total of x miles

Answers

Answer:

60T = 12x - 1

Step-by-step explanation:

In speed distance and time, time(t) is given by

time = distance(d)/speed(s)

total distance ran = x miles

case 1

d = 1 mile

speed = 4 miles per hour

as time = distance(d)/speed(s)

t = 1/4

____________________________

case 2

speed = 5 miles per hour

it is given that out of x miles for first mile and last mile her speed was 5 miles per hour

thus distance for this speed can be calculated by

subtracting first and last mile from x miles

therefore

distance = x-2 miles\

t = (x-2)/5

_____________________________________

case 3

distance = 1 mile

speed = 6 miles per hour

t = 1/6

______________________________

Total time T as required  will be sum of time for the 3 case calculated above

T = 1/4 + (x-2)/5 + 1/6

T = 1/4 + (x - 2)/5 + 1/6   (taking LCM of 6,5,4 as 60 and solving)

T = (15 + 12x - 24 + 10)/60

T = (12x - 1)/60

60T = 12x - 1

Thus, equation 60T = 12x - 1 represents her time T

Someone help me here pleaseee

Answers

Answer:

38°

Step-by-step explanation:

All triangles have a sum of 180°.

180 - (25 + 117) = missing angle

180 - (142) = missing angle

38 = missing angle

The measurement of the missing angle is 38°

Answer:

The measure of the missing angle is 38°

The length of an arc of a circle is 9.42cm. If the diameter of the circle is 10cm, find the angle subtended by the arc at the center of the circle. (Take π = 3.142)
SHOW ALL WORKING.

Answers

Answer:

1.89 radians  or 108 degrees.

Step-by-step explanation:

Circumference of the circle = 10 * 3.142

= 31.42.

So 31.42 is equivalent to 2 pi radians, so:

Angle subtended at the center

= (9.42 / 31.42) * 2 pi

=  (9.42 / 31.42) * 2 * 3.142

= 1.89 radians  or 108 degrees..

A circle has a radius of square root 131 units and is centered at (0,-4.3).
Whats the equation of this circle?

Answers

Answer:

x^2 + (y + 4.3)^2 = 131

Step-by-step explanation:

The basic equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.  Here the center is (0, -4.3) and the radius is √131.  Substituting as indicated, we get:

(x - 0)^2 + (y + 4.3)^2 = 131, or

x^2 + (y + 4.3)^2 = 131

Choose the equation of the line that is parallel to the x axis
A - x=4
B - x+y=0
C - x=y
D - y=4

Answers

Answer:

y=4

Step-by-step explanation:

The x axis is a horizontal line ( y=0)

A line parallel would also be of the form y= something  and be a horizontal line

The only answer of the form y=   is y=4

I’m thinking the answer could be y=4

Please answer.....................................

Answers

Answer:

1.25 + r = 4

1.25 - 1.25 + r = 4 - 1.25

r = 2.75

first option is the answer

Step-by-step explanation:

1. subtract 1.25 from both sides

which of the following is the best way of selecting a random sample

Answers

Answer:

I believe its c because a b and d are far off

Step-by-step explanation:

Use the distributive property to remove the parentheses.

-7 ( -2w - 4y + 1 )

Answers

Answer: [tex]14w+28y-7[/tex]

Step-by-step explanation:

multiply everything by -7

Answer:

Step-by-step explanation:

14w+28y-7

Laws of Sines: Find each measurement indicated. Round your answer to the nearest tenth.

Answers

Answer:

2. 137°

3. 24.7°

Step-by-step explanation:

Using cosine law:

2. 28² = 12² + 18² - 2(12)(18)cosA

cosA = -79/108

A = 137.0107361°

3. 15² = 19² + 30² - 2(19)(30)cosC

cosC =259/285

C = 24.66381079°

The measure of the angle is:

m∠A = 66.8°

m∠C = 30°

We have,

2.

Using tan trigonometric identities.

tan A = 28/12

Simplify the fraction

tan A = 7/3

Take inverse trigonometry

A = [tex]tan^{-1}(7/3)[/tex]

A = 66.8°

3.

Using sin trigonometric identities.

sin C = 15/30

Simplify the fraction

sin C = 1/2

Take inverse trigonometry

C = [tex]sin^{-1}(1/2)[/tex]

C = [tex]sin^{-1} sin ~30[/tex]

C = 30°

Thus,

The measure of the angle is:

m∠A = 66.8°

m∠C = 30°

Learn more about trigonometric identities here:

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Simplify 8+7/8x−1−1/2x.

Answers

Answer:

7 + 3/8x

Step-by-step explanation:

8+7/8x−1−1/2x.

Combine like terms

8-1  +  7/8x -1/2x

7 + 7/8x -1/2x

Get a common denominator

7 + 7/8x -4/8x

7 + 3/8x

Cam rode her bike 5 times as far as Dante did. Dante rode 197 meters farther than Michael did. Cam rode 10.25 kilometers. How many meters did Michael ride? Complete the explanation of how you got your answer.

Answers

Answer:

1853metre

Step-by-step explanation:

Taking Danta distant as x

While Cam's will be 5x because he cover distance 5 time more than dante

I.e. Cam rode 10.25 km, to get what dante covers

5x=10.25

x=10.25/5

x=2.05km

Dante rode 2.05 km as calculated above

We must remember 1km=1000m. Hence, 2.05 km=2050 m

From the question, "Dante rod 197 m more than Michael", the distance Michael will ride then will be:

2050 metre - 197 metre

=1853 metre

Michael have rode 2863 metre

What is the range of the following set?
27, 18, 29, 25, 23, 23, 21, 32, 20

Answers

Answer:

The range is 14.

Step-by-step explanation:

To find the range in a data set, you have to subtract the lowest number from the highest number in the set. The highest number is this set was 32. The lowest was 18. 32-18=14. Thus, the answer is 14.

A store makes a $0.45 profit on every toy they sell. If they made $237.15 in profit last month, how many toys did they sell?

Answers

Answer:

527

Step-by-step explanation:

237.15/0.45 = 527

Answer:

They sold 527 toys.

Step-by-step explanation:

If they make 0.45$ profit on every toy.

Total profit of a month is $237.15.

then no of toys sold = total profit divided by individual profit

Number of toys= 237.15/0.45 =527

David's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to travel 350 miles. If the price of gasoline was approximately $4.00 per gallon, how much less, to the nearest cent per mile, did it cost to run the car after the mechanic worked on it?

Answers

Answer:

Step-by-step explanation:

Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard. What is the value of this function for f(6)?

Answers

Answer:

27

Step-by-step explanation:

7(6) = 42. 42-15 is 27

The value of this function for f(6) is 27.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard.

WE need to find the value of this function for f(6).

So, plug 6 into x

7(6)-15

42 - 15

= 27

Hence, the value of this function for f(6) is 27.

Learn more about function here:

https://brainly.com/question/2253924

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