$5000 was invested into an investment that pays 4.25% simple interest. The total value of the investment amounted to $6593.75. How long was principal invested for?

Answer:

31

Step-by-step explanation:

We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.

Answer:

31

Step-by-step explanation:

Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).

Answer:

0

Step-by-step explanation:

To solve this equation, first find out 4y, which equals 16. Then do the full equation, 16-16=0.

Answer:

Let 16-4y=0

Substracting 16 on both sides

16-16-4y=-16

-4y=-16

4y=16

y=4

Rebutting the value of y

=16-4(4)

=16-16

=0

Step-by-step explanation:

I hope this will help you :)

Answer:

£3.96

Step-by-step explanation:

Data obtained from the question include:

Isaac's ratio = 2

Victoria's ratio = 5

Total ratio = 2 + 5 = 7

Amount Victoria recieve = £6.60.

Next, we shall determine the total amount of money shared by Isaac and Victoria. This is illustrated below:

Let T be the total amount of money shared.

Victoria received = £6.60

Victoria's share =

Victoria's ratio/total ratio x total amount

£6.60 = 5/7 x T

£6.60 = 5T/7

Cross multiply

5T = £6.60 x 7

5T = £46.2

Divide both side by 5

T = £46.2/5

T = £9.24

Therefore, the total amount shared is £9.24.

Next, we shall determine the amount received by Isaac. This is illustrated below:

Victoria's share = £6.60

Total amount shared = £9.24.

Isaac's share =?

Isaac's share = Total amount shared – Victoria's share

Isaac's share = £9.24 – £6.60

Isaac's share = £2.64

Therefore, Isaac received £2.64

Finally, we shall determine the difference between how much money Isaac and Victoria receive. This is illustrated below:

Victoria recieve = £6.60

Isaac receive = £2.64

Difference = £6.60 – £2.64

Difference = £3.96

Therefore, the difference in the amount received by Victoria and Isaac is £3.96

Answer:

Im pretty sure its D- 123

Step-by-step explanation:

Edg 2020

Answer:

x = 5

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = x + 3 and h = 2x - 5 , thus

[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ( multiply both sides by 2 )

(x + 3)(2x - 5) = 40 ← expand factors on left using FOIL

2x² + x - 15 = 40 ( subtract 40 from both sides )

2x² + x - 55 = 0 ← in standard form

(x - 5)(2x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5

But x > 0 , hence x = 5

Answer:

x=sqrt(3)/2 or -sqrt(3)/2

Step-by-step explanation:

(x,1/2) is on the unit circle at pi/6 and 5pi/6.

so x is either sqrt(3)/2 or -sqrt(3)/2

Answer:  [tex]-\sqrt{3}/2[/tex]

Step-by-step explanation: I did the question and got it right

Answer:

-277.02

Step-by-step explanation:

Given series:

We can see the series is a GP with common ratio of -3, as:

So the next term will be:

Answer: 36

Step-by-step explanation:

Let the no. of biscuits be x

Peanuts will be 1/3x

So,

1/3x + 12 + 12 = x

1/3x + 24 = x

x + 72 = 3x

x-3x = -72

x = 72/2 = 36

Peanut biscuits will be 1/3 * 36 = 12

Total no. of biscuits baked were 12+12+12 = 36

Answer:

Step-by-step explanation:

4.  a) tan x=17/12=1.416

       x=54.8≈55

b)sin  b=78/132=0.59

  b=36.2≈36

cos 28=x/82

x=82*cos 28=82*0.9=73.8

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of line

Answer:

The equation is y = 4x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x + b

Substitute the x and y value into the equation

7 = 4(1)+b

7 = 4+b

Subtract 4

7-4 =b

3=b

The equation is y = 4x+3

Answer:

0.008.

Step-by-step explanation:

10^-3 basically tells you to move the decimal point to the left by three digits.

Right now, you have 8. If the decimal point were to move left by three digits, you can visualize 8 as 0008. Move left by three digits, and you get 0.008.

Hope this kind of helps!

Answer:

0.008.

hope this helps :)

Answer:

7,680

Step-by-step explanation:

The average number of words on a full page

=Number of columns X Number of Lines X Number of words per line

=8 X 160 X 6

=7680

The average number of words on a full page is 7,680.

Answer:

see explanation

Step-by-step explanation:

Given x = 12, y = 144

We can see that y is 12 times the value of x, thus

(a)

y = 12x

(b)

when x = 7, then

y = 12 × 7 = 84

Answer:

-1/8

Step-by-step explanation:

(-1/2)(-1/2)(-1/2)=-1/8

Answer:

solution,

[tex] (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} [/tex]

hope this helps...

Good luck on your assignment

Answer:

-3.125  <   -2.95    <    2.6     <     103.5

Step-by-step explanation:

1) [tex]5\frac{6}{15}- 2\frac{4}{5}[/tex]

=> [tex]\frac{81}{15} - \frac{14}{5}[/tex]

=> [tex]\frac{81-42}{15}[/tex]

=> [tex]\frac{39}{15}[/tex]

=> 2.6

2) -4.5 * -2.3

=> 103.5

3) [tex]\frac{5}{-1.6}[/tex]

=> -3.125

4) [tex]-\frac{33}{10} + \frac{7}{20}[/tex]

=> [tex]\frac{-66+7}{20}[/tex]

=> [tex]\frac{-59}{20}[/tex]

=> -2.95

Answer:

fourth, first, third, second,

Step-by-step explanation:

The first equals 2 9/15

The second equals 10.35

The third equals 3 1/8

The fourth equals -2 19/20

Answer:

Man-hours to build the wall: 3 * 10 = 30

:

let m = no. of men required to do it 7.5 hrs

7.5m = 30

m = [tex]\frac{30}{7.5}[/tex]

m = 4 men to build it in 7.5 hrs

Step-by-step explanation:

The equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have:

A herd of bison currently has 55 members, and biologists estimate that the size of the herd will increase at a rate of 6% per year.

We can model this relationship:

[tex]\rm y = 55(1+0.06)^x\\\\\rm y = 55(1.06)^x[/tex]

Thus, the equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2

Answer:

28 ways

Step-by-step explanation:

After placing 1 ball in each of the seven bins, there are two balls left.

If we place both balls in a single bin, there are 7 different ways to place the balls (place both on bins 1 through 7).

If we place each of the remaining balls in a different bin, the number of ways to place the balls is:

[tex]n_2=\frac{7!}{(7-2)!2!}=7*3=21[/tex]

The total number of ways to distribute those balls is 21 + 7 = 28 ways.

Answer:

Vertex:   ( 1 ,  9 )

Y-intercept:   ( 0 ,  8 )

Step-by-step explanation:

y = - (x+2) (x-4)

y = -x² + 2x + 8

Find the vertex.

x = -b/2a

x = -2/2(-1)

x = -2/-2

x = 1

y = -(1)² + 2(1) + 8

y = -1 + 2 + 8

y = 9

Find the y-intercept.

Put x as 0.

y = -(0)² + 2(0) + 8

y = 8

Answer:

£60

Step-by-step explanation:

Given that

The cost after reduction  = £54

So, 90% = £54

We have to find 100%

To do so, find 10% and ,multiply that by 10

90% = £54

10% = 54/9 = £6

1005 = 6x10 = £60

Hope this helps,.

Please mark brainiest

Answer:

Step-by-step explanation:

if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0

calculating remainder:

[tex]-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126[/tex]

Answer:

-5x/y is the answer

Step-by-step explanation:

10x/-2y

Dividing by 2

=5x/-y

=-5x/y

I hope this will help you :)

Answer:

(-5x)/y

Step-by-step explanation:

I'm assuming you meant:

  10x

---------

 -2y

                               -5x

This reduces to   ----------

                                  y

Answer:

Just QT and UX

Step-by-step explanation:

QT and TX intersect and are not parallel.

QU and ST are not parallel or intersecting.

QT and WX are not parallel or intersecting.

QT and UX are parallel.

Answer:

7∠82°

Step-by-step explanation:

Well angle 6 and 7 are complementary angles, meaning they both add up to 180°.

So we do 180 - 98 which is 82°.

Answer: The measure of angle 7 is 82 degrees.

Step-by-step explanation:

Angle  6 and 7  lies on a straight line so they will add up to 180 degrees.

So if Angle 6 is 98 degrees then an a number plus 98 has to equal 180.

so we could generate an equation as x + 98 = 180  

x + 98 = 180 solve for x

 -98      -98

x= 82  

Answer:

x = 8

Step-by-step explanation:

4x = 32

Divide each side by 4

4x/4 = 32/4

x = 8

The solution to the equation 4x = 32 is x = 8.

In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical equation:

4x = 32

By dividing both sides of the equation by 4, we have:

x = 32/4

x = 8

Read more on expression here: brainly.com/question/16729936

#SPJ6

Answer:

a) Each friend gets 12 sweets

b) There is 1 sweet left

Step-by-step explanation:

When you divide 49 by 4 you will get 12 with a remainder 1.

49 ÷ 4 = 12 R1

The remainder is the left over while the total result is how much each friend gets.

Answer:

A) 12

B) 1

Step-by-step explanation:

49 cannot be divided equally among the 4 friends but 48 can be divided.

A) So,

48/4 = 12 sweets

Each friend gets 12 sweets

B) 1 sweet is left

Answer: 72 cm²

Step-by-step explanation: lets take the width as x and length as 2x as length is twice the width= perimeter of rectangle is 2*(l+b)=36cm

So, 2×(2x+x)=36cm

2×3x=36cm

6x=36cm

X=36/6:6cm( width, since width was taken as x)

Length= 2x: 2×6=12cm

So area of the rectangle is( l*b):

12×6= 72cm²

Answer:

Let's call the numbers n and n + 2.

(n + 2)² - n²

= n² + 4n + 4 - n²

= 4n - 4

= 4(n - 1)

Answer:

1

Step-by-step explanation:

Factors of 9 are:

1, 3, 9

Factors of 20 are:

1, 2, 5, 10, 20

The greatest common factor is 1.