Mathematics College

Brian invests £4900 into his bank account.
He receives 1.5% per year compound
interest.
How much will Brian have after 4 years?
Give your answer to the nearest penny
where appropriate.

Answers

Answer 1

Answer:

5200 pound and 68.139/ 69 penny

If the answer proved helpful to you, Please give it a BRAINLIEST.

Thank you EVERYONE, for EVERYTHING!!

Answer 2

Answer:

it is above

Step-by-step explanation:

ok?

Related Questions

In a pet shop, there are 3 hamsters for every 2 guinea pigs, and there are 2 giant cloud rats for every 3 guinea pigs. If N is the total number of hamsters, guinea pigs, and giant cloud rats, and N>0 then what is the smallest possible value of N

Answers

Answer:

n = 19.

Step-by-step explanation:

If there are x guinea pigs then there are 3/2 x and 2/3 x rats.

So n = x + 3/2 x + 2/3 x

n = 19x / 6

19x = 6n

Let x = 6 , then n = 19*6 / 6 = 19.

Now n and x must be whole numbers so x is 6 and n = 19 are the smallest possible values.

find the missing length

Answers

Answer:

36

Step-by-step explanation:

since the triangles are similar, that means that they have the same angles, and all 3 correlating sides have the same scaling factor.

C correlates to R.

B to Q.

A to P.

therefore,

CB correlates to RQ.

84 / 18 = 14 / 3

so, the scaling factor from ABC to PQR is

3/14

AB to PQ must have the same scaling factor :

168 × 3/14 = 12 × 3 = 36

which is also (of course) confirming the ratio of leg to baseline of the original triangle :

AB : CB = 168 : 84 = 2 : 1

and now

PQ : RQ = 36 : 18 = 2 : 1

In the following diagram,
ℓ
∥
m
.



Solve for each of the variables w, x, y, and z. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find a solution.

Answers

Answer:

w = 94 degrees

x = 105 degrees

y = 75 degrees

z = 86 degrees

Step-by-step explanation:

The 75 degree angle + x = 180 degrees, because together they form straight line. They are supplementary angles.

180 - x = 75

x = 105 degrees

The 86 degree angle and z are equal, because they are vertical angles...they share a vertex. So z = 86 degrees

In some of the other problems we've looked at together, we've talked about corresponding angles. Angles in the same position on the next parallel line, cut by a transversal. The angle right above x, where p intersects l, corresponds to y. I've called it Y' in the picture I'm attaching.

So if the 75 degree angle is equal to its vertical angle, Y', which is equal to its corresponding angle of y. y = 75 degrees

Using all of what's here about supplementary angles and corresponding angles, you know that the two angles in the z/86 degree area are 94 degrees. (180 - 86 = 94) Which means w and its vertical angle are also 94 degrees. w = 94 degrees.

I'm sorry this is so wordy. I don't want it to be confusing for you. I am hoping I can help you understand enough so these problems don't stress you out :) I have circled vertical angle pairs (about half of them) in pink. I have circled the supplemental angle pairs (about half of them) in purple.

Which of the following is not a solution of the equation y=3x−4 ?

(2, 2)
(0, -4)
(4, 8)
(-1, -1)

Answers

Answer:

(-1, -1) is not a solution to the system

Step-by-step explanation:

Y = 3x - 4.             Substitute the points for x and y

2 = 3(2) - 4

2 = 2  solution

y = 3x - 4

-4 = 3(0) - 4

-4 = -4 solution

y = 3x - 4

8 = 3(4) - 4

8 = 8   solution

y = 3x - 4

-1 = 3(-1) - 4

-1 = -7 not solution

5 The table shows the linear relationship between the average height in feet of trees on a tree
farm and the number of years since the trees were planted.
Average Tree Height
Number of Years Since
1 3
the Trees Were Planted
6
11
15
Average Height (ft)
10
24
45
80
108
What is the rate of change of the average height in feet of the trees on the farm with respect
to the number of years since the trees were planted?
A 14 ft/yr
B 3 ft/yr
C 7 ftyr
D 10 ft/yr

Answers

Answer:7ft

Step-by-step explanation:

What is the rate of change of the function y - 6x + 3?​

Answers

Answer:

6

i think the - was meant to be an = instead of -

Step-by-step explanation:

rate of change is the same as slope

that is slope-intercept form.

y=mx+b

m is slope

slope= 6

Answer:

The rate of change is 6

Step-by-step explanation:

Set the equation equal to 0:

y-6x+3=0

Now solve for y because we want the equation in y=mx+b form where m is the rate

Subtract 3:

y-6x=-3

add 6x

y=6x-3

Now in y=mx+b form

m would equal 6

Select all the properties of a right triangle.
A. Has a right angle
B. Has one obtuse angle
C. Has parallel lines
D. Has perpendicular lines
E. Has three acute angles

help pleasee no links!!

Answers

A and D.

EXPLANATION:

A right triangle has 2 acute angles and one right angle.

So It

DOES have a right angle

DOES NOT have an obtuse angle

DOES NOT have parallel lines
because Parallel means that the lines dont meet anywhere.
In this scenario All lines meet

DOES have perpendicular lines
Because they intersect

DOES NOT have three acute angles

:)

Square has a perimeter of 76 Cm how long is each side?

Answers

76 divided by 4= 19 so
Answer is 19

Is urgent What is the equation of the line, in point-slope form, that goes through (2, -1)
and is perpendicular to y = 5x + 3?
A. Y+ 1 = 5(x - 2)
O B. y-1--5(x-2)
C. »+1-- *(x-2)
O D. v-2-- }(x+1)

Answers

Answer:

c. y + 1 = -⅕(x - 2)

Step-by-step explanation:

To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.

The equation would be in the form of y - b = m(x - a).

(a, b) = (2, -1)

Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕

m = -⅕.

Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).

Thus:

y - (-1) = -⅕(x - 2)

y + 1 = -⅕(x - 2)

I need to increase the numbers of customers I talk to daily by 20% how many customers do I need to talk to if I talk to a average of 8 customers per hour during an 8 hour shift

Answers

Answer:

77 approx

Step-by-step explanation:

Given data

Number of customers talked to per hour= 8

Hence for 8 hours(a day) the number of customers talked to = 8*8= 64

We want to first find 20% of 64

=20/100*64

=0.2*64

=12.8

Hence the number of customers will be

=12.8+64

=76.8

=77 approx

Which statement best describes whether the function is linear or nonlinear?

Answers

Answer:

Is nonlinear because the common ratio is 3

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Now to this problem, if the data corresponds to a linear equation, then for any set of points we choose we should see the same slope.

For example, if we choose the first and second points:

(0,20) and (1, 60) the slope is:

a = (60 - 20)/(1 - 0) = 40/1 = 40

a = 40

Now if we choose the first and third points:

(0, 20) and (2, 180)

The slope is:

a = (180 - 20)/(2 - 0) = (160/2) = 80

So the slopes are different, which means that this function is nonlinear.

If we look at the f(x) values for the second point onwards, we can see that:

f(2) = 60

f(3) = 60*3 = 180

f(4) = 180*3 = 540

f(5) = 540*3 = 1620

and so on.

So this seems to be an exponential function with a common ratio of 3 between consecutive outputs.

Having a common ratio is not a property of linear functions, then the correct options is:

"Is nonlinear because the common ratio is 3"

on a twelve hours clock the time is quarter -past nine. where does the long head and point ?​

Answers

Answer:

It points to 3 in on the clock.

Hope it helps!!!

it will be 9:15 and the big hand will point to 3

How many times does the pyramid fit in the cube of both bases and height are the same?

Answers


If the base is 120×120
120
×
120
units, and the height is 120
120
units, with the summit directly above the center of the base, then each side has a slope of 2
2
: one unit towards the center, the side wall rises by two units.

This means that at height 5
5
above the base, each side is 5×12=2.5
5
×
1
2
=
2.5
inwards, i.e. 115×115
115
×
115
in area, because each of the four sides (north, south, east west) is inwards by that amount. In other words, the bottommost layer of 5×5×5
5
×
5
×
5
blocks covers 115×115
115
×
115
unit area of the base, and thus consists of 23×23
23
×
23
blocks.

The next layer of blocks is similarly smaller, covering a 110×110
110
×
110
area on top of the previous layer of blocks, i.e. one block less in both directions, consisting of 22×22
22
×
22
blocks. (You might note that the center of each block in the upper layer is at the corners of four blocks in the lower layer, although it does not affect the math here at all.)

This continues upwards, with the 23rd layer having just one block. Note that since 23×5=115
23
×
5
=
115
, the summit of the pyramid (a rectangular pyramid itself, of course, with base 5×5
5
×
5
on top of the topmost block, and height another 5
5
) is empty; it does not have enough room to contain even a single block.

If we count the number of blocks in each layer, we get
=23×23+22×22+21×21+…+1
N
=
23
×
23
+
22
×
22
+
21
×
21
+
…
+
1
That is not too hard to do by hand (or, better, calculator; or even with 2×2 Lego bricks), but mathematically we can also say that
=∑=1232
N
=
∑
i
=
1
23
i
2
As it happens, it is already known (in lists of known sums) that
∑=12=16(+1)(2+1)
∑
i
=
1
n
i
2
=
1
6
n
(
n
+
1
)
(
2
n
+
1
)
and therefore
=16×23×24×47=4324

-15x + 5 = -10x + 25 solve for x

Answers

Answer:

Move all terms containing x to the left side of the equation.

−5x+5=25

Move all terms not containing x to the right side of the equation.

−5x=20

Divide each term by −5 and simplify.

x=−4

Step-by-step explanation:

Answer:

[tex]15x + 5 = -10x + 25[/tex]

[tex]15x+5-5=-10x+25-5[/tex]

[tex]15x=-10x+20[/tex]

[tex]15x+10x=-10x+20+10x[/tex]

[tex]25x=20[/tex]

[tex]\frac{25x}{25}=\frac{20}{25}[/tex]

[tex]x=\frac{4}{5}[/tex]

plz help first right gets brainly

Answers

Answer:

D, see attachment

Step-by-step explanation:

An equation with a squared symbol (²) will never be linear. You can also graph these lines to be sure.

The attachment shows each of these graphed.

Red line- A

Orange line- B

Green line- C

Purple line- D

Line D is nonlinear, so the answer is D.

Label 1/4 on the number line. Label 1/2 on the number line .

Answers

Answer:

it goes 0 then 1/4 in the first notch 1/2 in the second notch 3/4 in the third notch then the number 1 on the fourth

Step-by-step explanation:

Hope that helps.

1. 80% of the students on a field trip love the movie. If there are a total of 50 students on the field trip, how many love the movie?​

Answers

Answer:

40 students

Step-by-step explanation:

A helpful tip I use is x% of y= y% of x

For example, 50% of 80 is 40

Boom

A lifeguard is standing beside the lifeguard chair on a beach.The lifeguard is 76 inches tall and casts a shadow that is 48 inches long.The chair casts a shadow that is 72 inches long.How y'all is the lifeguard chair?

Answers

9514 1404 393

Answer:

  114 inches, or 9 ft 6 inches

Step-by-step explanation:

The chair's shadow is 72/48 = 1.5 times as long as the lifeguard's shadow. Since shadow length is presumed proportional to height, we expect the lifeguard chair to be 1.5 times as tall as the lifeguard.

  1.5(76 in) = 114 in = 9 ft 6 in . . . height of lifeguard chair

Hiuxian scores 68 out of 80 for her Science test, Priya scores 86 out of 120 for her Science test and Rui feng scores 120 out of 150 for his Science test. Who performs the best in his/her Science test?​

Answers

Answer:

Hiuzian score the best in his/her science test.

Step-by-step explanation:

convert these fractions into percentage.

68/80 = 85%

86/120 = 71.67%

120/150 = 80%

my final balance after 48 months was $869. If I originally put $800 into the bank what was the interest rate

Answers

Answer: 1.4375 percent

Step-by-step explanation:

69/48 = 1.4375 percent.

(if its incorrect I'm sorry)

Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $263.25

Enter an equation to model the relationship between the number of hours worked h and the amount earned e

The equation is:

Answers

Answer:

$9.75h=e-$263.25

Step-by-step explanation:

simplify mentally 4867.293 ÷ 1000

Answers

Step-by-step explanation:

20htff5tgtgtgtgtf5ddrtfy g huhh

Resuelve lo siguiente:

1.-Carlos tiene un mazo de 15 cartas numeradas del 1 al 15. Saca una carta al

azar, ve el número, y la revuelve de nuevo en el mazo. ¿Cuál es la probabilidad de

que no le salga una carta menor o igual a 5 en el primer intento, pero que si le

salga una carta menor o igual a 5 en el segundo intento?

1

1

2

B) 9

A) 9

C) 3

D) 3

Answers

Respuesta:

2/9

Explicación paso a paso:

Dado que :

tarjeta numerada = 1 - 15

Probabilidad de obtener un número no menor o igual a 5

Número de cartas no menor o igual a 5:

Tarjeta no ≤ 5 = (6,7,8,9,10,11,12,13,14,15) = 10

Probabilidad = resultado requerido / Total de resultados posibles

P (Tarjeta no ≤ 5) = 10/15 = 2/3

Número de cartas menor o igual a 5:

Tarjetas ≤ 5 = 1, 2, 3, 4, 5

P (Tarjeta ≤ 5) = 5/15 = 1/3

P (Tarjeta no ≤ 5) * P (Tarjeta ≤ 5)

2/3 * 1/3 = 2/9

Calcularemos la probabilidad del evento combinado para obtener: P = 0.22

Calculando las probabilidades individuales:

La probabilidad de sacar una carta menor o igual a 5 es igual al cociente entre el numero de cartas con un número menor o igual a 5 y el número total de cartas en el mazo.

Tenemos 5 cartas con un número igual o menor a 5 y un total de 15 cartas, así que la probabilidad es:

p = 5/15

La probabilidad de que no le salga una carta menor o igual a 5 es calculada de la misma forma, hay 10 cartas que no son menores o iguales a 5 y un total de 15 cartas, entonces tenemos:

q = 10/15

La probabilidad conjunta es simplemente el producto de esas dos probabilidades, así obtenemos:

P = (10/15)*(5/15) = 10/45 = 0.22

Sí quieres aprender más sobre probabilidad, puedes leer:

https://brainly.com/question/21755457

15
12
П
[Not drawn to scale)
What is the area of the reduced rectangle?

Answers

1.8; multiply 15 and 12 by 0.1. so you will have 1.5 and 1.2 and then multiply those answers together to get 1.8

Paul is buying packages of hot dogs for a camping trip. Each package is 30 oz. If he buys 4 packages, about how many pounds of hot dogs is he buying?

Answers

Answer:

7.5 OR 8 (Depending on whether you are rounding or not)

Step-by-step explanation:

30 x 4 = 120 oz

120 oz to pounds is 7.5 but if you are rounding then its 8.

30 oz • 4=120 oz
16 oz= 1 lb
120/16=7.5 lb
He is buying 7.5 lbs of hot dogs.

a rectangle has a length of 18 ft less than 7 times its width if the area of the rectangle is 405 square feet. what's the length of the rectangle​

Answers

Answer:

i don't know um is there any multiple questions?

Step-by-step explanation:

Use <, >, or = to compare the following decimals.

(a) 6.37 |?| 2.68
(b) 0.1 |?| 0.04
(0) 7.7 |?| 7.70

Answers

Answer:

A is >

B is >

C is =

I hope this helps you.

Find the volume of a right circular cone that has a height of 5.1 ft and a base with a diameter of 15.4 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

V = 419.459168

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  316.7 ft³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h

Here, the radius (r) is half the diameter, so is 7.7 ft. Then the volume is ...

  V = 1/3π(7.7 ft)²(5.1 ft) = 100.793π ft³ ≈ 316.6505 ft³

The volume of the cone is about 316.7 cubic feet.

_____

If you use the inappropriate value 3.14 for π, your answer will be 316.5 ft³.

Evaluate the following Piecewise Function.
Please sturggeling

Answers

Answer:

[tex]f(0)=4[/tex]

[tex]f(6) = 8[/tex]

Step-by-step explanation:

Given

The piece wise function

Solving (a): f(0)

To solve for f(0), we make use of:

[tex]f(x) = x + 4[/tex]

Because: the inequality [tex]x < 5[/tex] satisfies x = 0

i.e: [tex]0 < 5[/tex]

So, we have:

[tex]f(x) = x + 4[/tex]

[tex]f(0)=0 + 4[/tex]

[tex]f(0)=4[/tex]

Solving (b): f(6)

To solve for f(6), we make use of:

[tex]f(x) = 8[/tex]

Because: the inequality [tex]5 \le x < 7[/tex] satisfies x = 6

i.e: [tex]5 \le 6 < 7[/tex]

So, we have:

[tex]f(6) = 8[/tex]

what order pair is 3 up and 2 to the right of point t​

Answers

Hope this helps! Mark brainly please!
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