Patrick invested money into a special savers bank account each year money in the account earns 4% interest after one year, the total amount of money in the account was £291.20 how much did Patrick invest?

Answers

Answer 1

Answer: £280

Step-by-step explanation:

After a year, the total amount that was in the account was £291.20 which according to the question is 4% more than the amount Patrick invested.

Assume the amount invested is x.

x + 0.04x = 291.20

1.04x = 291.20

x = 291.20/1.04

= £280


Related Questions

Which list contains four points on the same line?
A)
{ (0,0), (1, 1), (2, 4), (3,9)}
B)
{(0,0), (1, 1), (2, 2), (3, 3) }
C)
{ (0, 1), (1, 2), (2, 4), (3, 8) }
D)
{(0,0), (1, 1), (2, 8), (3, 27) }

Answers

Answer:

B)

{(0,0), (1, 1), (2, 2), (3, 3) }

Step-by-step explanation:

B)

{(0,0), (1, 1), (2, 2), (3, 3) }contains four points on the same line.

An equation is shown.
30+12=x(5+2)
What’s factor (x) is missing from the equation

Answers

Answer: x = 6

Step-by-step explanation:

30 + 12 = x (5 + 2)

x (5 + 2) = 30 + 12

x (7) = 42

7x = 42

Divide both sides by 7

x = 6

Answer:

30+12=x(5+2)

or,42=7x

or,x=42÷7

So,x= 6

HELPPP ME PLEASE ILL MARK YOU AS BRAINLIEST

Answers

Answer:

approximately at 4, -1

Step-by-step explanation:

I need the fully simplified slope-intercept form

Answers

The equations is : y=-1/4x -6

The line intercepts the y axis at -6 and from there it is one down and 4 to the right.

A, B, C, or D
Help I don’t get this

Answers

Answer:

in a triangle there is only two sides that are the same length.

Answer:

Thus the answer is A. 10 cm, 6 cm, 4 cm

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

The first combination y=6 cm z=4 cm produces the condition:

6 - 4 < x < 10

2 < x < 10

The third side is x=10 cm and it does not satisfy the inequality.

The rest of the combinations produce true inequalities:

B. 1 < x < 15 and x=9 satisfies the conditions

C. 1 < x < 9 and x=8 satisfies the conditions

D. 6 < x < 14 and x=10 satisfies the conditions

Thus the answer is A. 10 cm, 6 cm, 4 cm

In kite WXYZ, mZWY = 41° and mXYW = 11°


What is mWZY?

Answers

Answer:

128°

Step-by-step explanation:

In kite WXYZ, WY and XZ are longer and smaller diagonals respectively.

Longer diagonal bisects the opposite angles.

[tex] \therefore m\angle ZYW =m\angle XYW[/tex]

[tex] \because m\angle XYW = 11\degree... (given) [/tex]

[tex] \therefore m\angle ZYW =11\degree [/tex]

[tex] In\: \triangle WYZ[/tex]

[tex] m\angle ZYW + m\angle ZWY + m\angle WZY=180\degree [/tex]

[tex] 11\degree + 41\degree+ m\angle WZY=180\degree [/tex]

[tex] 52\degree+ m\angle WZY=180\degree [/tex]

[tex] m\angle WZY=180\degree - 52\degree [/tex]

[tex] \purple{\bold {m\angle WZY=128\degree}} [/tex]

Determine the values of a, b, and c for the quadratic equation

3x2−5x+6=0

Answers

Answer:

The values of a, b, and c for the quadratic equation

a=3

b=-5

c=6

Answer:

-24

Step-by-step explanation:

=3×2-5×+6

=3×2-(5×+6)

=3×2-(+30)

=3×2-30

=6-30

=-24

what is the measure of BCA?

Answers

Answer:

The answer is 45 degrees

carlos se desplaza 7m a la isquierda y luego 10m a la derecha ¿a que distancia esta el punto de partida por favor resuelvanlo es urgente el tema es numeros negativos gracias

Answers

- 7 + 10

= 3

-- i do not speak spanish, but i have used a translator haha.

10 points and marked brainliest!!!!!

Answers

Answer:

y = 4

Step-by-step explanation:

In this situation, because all the angles have the same arc mark, they must have the same measure which means that the triangle is equiangular. Therefore, you can use the definition of an equilateral triangle which states that if the triangle is equiangular, it must be equilateral which means that all sides are the same. This is because x + x + x = 180 → 3x = 180 → x = 60. When you learn trigonometry, you will realize that the proportion of sides corresponds to the angles. Or you could experiment and you may realise that if the angles of the triangles are all 60° then you can only form a triangle where the sides are all equal. If all sides are the same, then 9y - 3 = 7y + 5

So if 9y - 3 = 7y + 5, then

9y - 3 = 7y + 5 →

[subtract 7y from both sides]

9y - 7y - 3 = 7y - 7y + 5 →

2y - 3 = 5 →

[add 3 to both sides]

2y - 3 + 3 → 5 + 3 → 2y = 8 →

[divide both sides by 2]

y = 4

Simplest form for 4 1/10

Answers

Answer:

That is the simplest form.

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST!





The coordinates of three corners of a square are (1, 7), (5, 3), and (9, 7). What are the coordinates of the fourth corner of the square?

A.
(5, 7)

B.
(5, 11)

C.
(9, 1)

D.
(13, 3)

Answers

Answer:

i think d is the correct one

Answer:

It's be 5,11

Step-by-step explanation:

Mary called a plumber to fix her leaky faucet. The plumber charged a $50 service fee and $20 per hour. Mary owed the plumber $95. Write an equation to find the number of hour, h, that the plumber worked. ​

Answers

The answer is 2.25h when we do theese equation
95-50=45
45/20=2.25h

Answer:

4.75 h

Step-by-step explanation:

What is the slope of the line that passes through the points (8,-4) and (6,3) in simplest form

Answers

Step-by-step explanation:

Rise of y-value = (-4) - (3) = -7.

Run of x-value = (8) - (6) = 2.

Slope of the line = Rise / Run = (-7) / (2) = -3.5.

Find the slope of the line represented by the data below

Answers

Answer:

Slope = -4

Step-by-step explanation:

Let us solve the question

∵ The slope of the line is m = Δy/Δx

∵ Δy is the change of y ⇒ Δy = y2 - y1

∵ Δx is the change of x ⇒ Δx = x2 - x1

→ Choose from the table x1, y1 and x2, y2

x1 = -3 and y1 = 12

x2 = -2 and y2 = 8

→ Use them to find Δx and Δy

∵ Δx = -2 - (-3) = -2 + 3 = 1

Δx = 1

∵ Δy = 8 - 12 = -4

Δy = -4

→ Use them to find the slope

∵ m = Δy/Δx

∴ m = [tex]\frac{-4}{1}[/tex]

m = -4

∵ m is the slope of the line

The slope of the line is -4

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC = 14
and DC 4, what is the length of AC? (Note: the figure is not drawn to scale.)

Answers

Answer:

49

Step-by-step explanation:

∠BAD = ∠DBC       (90-∠ABD)

∠C = ∠C

ΔABC similar to ΔBDC

AC/BC = BC/AC

x/14 = 14/4

x = 14*14/4 = 49

Solve the equation | w + 1.5 = 8.75

Answers

Answer:

8.75-1.5=7.25

w=7.25

Step-by-step explanation:

Answer:

w = 7.25

Step-by-step explanation:

w + 1.5 = 8.75

To find what w is, you need to isolate.  To isolate w from 1.5, you have to subtract 1.5 by 1.5.

w + 1.5-1.5 = 8.75

What you do to one side of the equal sign, you have to do to the other

w + 1.5-1.5 = 8.75 - 1.5

1.5-1.5 cancels out and 8.75 - 1.5 equals to 7.25

w = 7.25

do bank tellers need a community college degree?

please help me​

Answers

Answer:

NO: FALSE

Step-by-step explanation:

becauase I am just that smart.

A refreshment stand makes 7 large servings of frozen yogurt from 9 pints. Graph the
line and then write its equation. Let the x-axis represent the number of pints and the y-axis represent the number of servings. Use only fractional form, if necessary.

(I will mark you as a Brainliest if you answer correctly:))

Answers

Answer:

y = (7/9)x

Step-by-step explanation:

The equation of a straight line is given as y = mx + b, where y and x are variables, m is the rate of change = change in y / change in x, while b is the y intercept (value of y when x = 0).

When no pint is used, there is no frozen yoghurt. But from 9 pints, 7 large servings of frozen yogurt is made. Let x represent the number of pints and the y represent the number of servings.

Hence, using y = mx + b, we get b = 0, because at 0 pint there is no servings. The equation be comes y = mx

m = change in y / change in x = 7 servings / 9 pints

m = 7/9

The equation is:

y = (7/9)x

The proportion of American adults who spend between 6 and 9.99 hours a day, inclusive, on digital devises is approximately 1/3. The proportion of Americans adults who spend more than 9.99 hours on a digital dev is approximately 2/7. Find the proportion of American adults who spend at least 6 hours on digital devices. Write your result as a fraction.

Answers

Answer: 13/21 of the American adults spend at least 6 hours on digital services.

Step-by-step explanation:

The proportion that spends between 6 hours and 9.99 hours is 1/3

The proportion that spends more than 9.99 hours is 2/7

We want to find the proportion who spends at least 6 hours.

This is easy, we just need to combine the two groups from above, and that will give use the proportion that spends 6 hours or more.

We only need to add:

1/3 + 2/7

Now, the first problem we see here is that the denominators are different, then we need to rewrite both fractions to have the same denominator.

We know that 3*7 = 21, then we can use 21 as the common denominator, by multipliying by 7/7 (this is equal to 1) the first fraction, and by 3/3 the second one:

1/3 = (1/3)*1 = (1/3)*(7/7) = 7/21

2/7 = (2/7)*1 = (2/7)*(3/3) = (3*2)/21 = 6/21

Then the previous sum becomes:

1/3 + 2/7 = 7/21 + 6/21 = 13/21

This means that 13/21 of the american adults spend at least 6 hours on digital services.

HELP ME!!!!!!!! Which choice represents the fraction below as a single exponential expression? This is unit is The Division Law of Exponents.

Answers

The answer is C. 5^4

how do i solve this pls help me i got 30 mins left :(

Answers

Do you have Photomath? You can scan the question and it will give you the answer!


If the slope of a line 1 is , what is the slope of line 2 which is perpendicular to line 1.

Answers

Step-by-step explanation:

let's say that x is the slope of line 1.

the slope of a perpindicular line is the negative reciprical of x

the slope of line 2 is then -1/x

Roger is a great pitcher. He strikes out 1 out of every 3 batters he
faces. If he struck out 5 batters in 1 game, about how many batters
would he have faced?

Answers

He would have faced 15 batters because the ratio of strikes is 1 to 3 so you would put the 5 in the ones place and multiply it by the 3 which makes 15.

Plz help with this its due in like less than a few minutes if anyone could help that would be great. Thx.

Answers

Answer: x = 4

Step-by-step explanation:

JL = 2 (MN)

3x - 2 = 2 (x + 1)

3x - 2 = 2x + 2

Subtract 2x from both sides

x - 2 = 2

Add 2 to both sides

x = 4

3√27 + √9 the answer for this question​

Answers

Answer:

6

Step-by-step explanation:

∛27=3

√9=3

3+3=6

Please give brainliest if this helped and thank me

Mmmm The Solve is six

Someone help me there’s a time limit on it

Answers

Answer:

P=3

Step-by-step explanation:

8p =24

P= 24/8

P= 3

PLS HELP
what is the slope of the line??

Answers

Answer:

The slope of the line is:

[tex] -\frac{5}{2} [/tex]

Step-by-step explanation:

Remember that:

[tex]slope = \frac{rise}{run} [/tex]

Answer:

-5/2

Step-by-step explanation:

In triangle ABC AB is equals to AB and Angle B equal to 80 find the angle A​

Answers

Answer:

∠A = 20°

Step-by-step explanation:

Given:

Line AB equal to line AC

So, we can say that;

∠B = ∠C

So

∠B = ∠C = 80°

Using angle sum rule

∠A + ∠B + ∠C = 180°

∠A + 80° + 80° = 180°

∠A = 20°

How to find x (similar triangles)

Answers

Answer:

x = 2

Step-by-step explanation:

Parallel lines divides the transversals in proportion.

Therefore,

[tex] \frac{9}{4} = \frac{13.5}{x + 4} \\ \\ 9(x + 4) = 13.5 \times 4 \\ \\ 9(x + 4) = 54 \\ \\ x + 4 = \frac{54}{9} \\ \\ x + 4 = 6 \\ \\ x = 6 - 4 \\ \\ x = 2[/tex]

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