Brian invests £600 into his bank account.
He receives 3.2% per year compound interest.
How much will Brian have after 6 years?
Give your answer to the nearest penny where appropriate

Answers

Answer 1

Answer:

It will be £2520

Step-by-step explanation:

3.2=[tex] \frac{16}{5} [/tex][tex] \frac{16}{5} \times 100 = 320[/tex]320 [tex]320 \times 6 = 1920[/tex][tex]1920 + 600 = 2520[/tex]

Related Questions

Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost

Answers

Answer:

Total cost = $4.08

Step-by-step explanation:

Given the following data;

Selling price = $3.4

Shipping and handling fee = 20%

To find the total cost;

First of all, we would determine the extra fee;

Extra fee = 20/100 * 3.4

Extra fee = 68/100

Extra fee = $0.68

Now, we can solve for the total cost using the formula below;

Total cost = selling price + extra fee

Total cost = 3.4 + 0.68

Total cost = $4.08

Write the name of each decimal place indicated (pls don't troll I'm failing I'll give brainliest)

Answers

Answer:

7.) c

8.) 5.9

9.) 8.78

10.) 8.778

if im wrong let me know

Step-by-step explanation:

Bailey , a Labrador retriever has a litter of 10 puppies. Four are black. At the rate how many puppies in a litter of 5 would be black.

Answers

Answer: 2

Step-by-step explanation:

Given

In a litter of 10 Puppies, 4 are black i.e.

[tex]\Rightarrow \dfrac{4}{10}\times 100=40\%\ \text{of puppies are black}[/tex]

In a litter of 5, there would be

[tex]\Rightarrow 5\times 40\%=5\times 0.4=2[/tex]

There are 2 black puppies

6.
Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft

I a) Yes
b) No

Answers

Answer:

No

Step-by-step explanation:

the sum of the two shorter sides must be greater than the longer side

(not even if it is equal to, as in this case)

Here are some formulas to see if 3 sides can make a triangle...

[tex]a+b>c\\b-a, a-b<c\\a+c>b[/tex]

So a=3

b=5 and c=8

3+5=8

So no it can't.

What is a positive data set on a graph?

Answers

Answer:

when the dot's go left to right going upwards

Step-by-step explanation:

please help i suck at math and I am in class ​

Answers

Answer:84.84m^2

Edit: I redid it doing the base separate and got 84.847 because Pythagorean theorem tells you the sides of the three triangles are 6.998 which is ever so slightly smaller than the base triangle.

Step-by-step explanation:

This is assuming the triangles are equal. 1/2bh gives you 21.21 for the triangle with the given height and then multiplying that by four for all the sides gives you 84.84m^2. The question doesn’t specify what type of pyramid it is so again I’m assuming it’s equal. Not 100% positive hope it can help at all.

whats the permiter and area of this triangle will mark brainleist?

Answers

Answer:

permiter 68ft

area 204ft²

Step-by-step explanation:

25ft+26ft+17ft=68ft

1/2×17ft×24ft=204ft²

I hope it's help

An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?

a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00

Answers

Answer:

The cost of the material for the full-sized pad is;

d) 222,750.00

Step-by-step explanation:

The parameters of the steel pad and the scale model are;

The volume of the deck = 18 yd³

The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick

The weight of the sample, m₂ = 75 lbs

The cost of the steel, P = $55/lb

The dimensions of the sample in yards are;

6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards

The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. =  (1/3) yd.³

The density of the sample material, ρ = m₂/V₂

∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³

Therefore, the density of the material of the pad, ρ = 225 lbs/yd³

The mass of the steel  pad, m₁ = ρ × V₁

∴ The mass of the steel  pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs

The cost of the material for the full-sized steel pad, C = m₁ × P

∴ C = 4,050 lbs × $55/lb = $222,750

Write the equation of the line that is parallel to y-axis and passing through the point (3,-5)

Answers

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Because this line is parallel to the y-axis, it is a vertical line. This is a special case where the formatting of its equation is different:

[tex]x=d[/tex] where d is the x-intercept, or the value of x when the line crosses the x-axis

We're given that the line passes through the point (3,-5). Because this is a vertical line, the x-coordinates of the points it passes through will always stay the same. Therefore, the x-intercept (d) is 3.

[tex]x=3[/tex]

I hope this helps!

What is the value of x rounded to the nearest hundredth?





Question 3 options:

6


8


7


5

Answers

Answer:

I think 5 could be wrong tho

Step-by-step explanation:

4x4+3x3=25

✓25

5

Amir pits £3035 into a bank account. The account pays 4% compound interest each year. Work out how much money amir will have in the account after 6 years

Answers

Answer:

[tex]\£3840.2[/tex]

Step-by-step explanation:

Let P denotes principal amount, T denotes time period and R denotes rate of interest.

Amount = [tex]P(1+\frac{R}{100})^T[/tex]

Amir pits £3035 into a bank account. The account pays 4% compound interest each year.

Put [tex]P=\£3035,\,R=4\%,\,T=6[/tex]

Amount = [tex]3035(1+\frac{4}{100})^6=3035(\frac{104}{100})^6=\£3840.2[/tex]

Therefore, Amir will have [tex]\£3840.2[/tex] in the account after 6 years.

Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?

Answers

Answer:

          At (5, -4)

Step-by-step explanation:

The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line that passes through given point with a slope of m:  

y - y₁ = m(x - x₁)

Line A:

 [tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]

[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]

Line B:

 [tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]

[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]

Point of intersect means the same coordinates x and y.

So:

       [tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]

A sample in a laboratory starts with 8 bacteria. The bacteria grow at a rate of 3.2% every hour. How many hours until the sample has grown to 140,000
bacteria? (Round to the nearest whole number)
A 46
B 3
C) 305
D 133

Answers

Answer:

probably C

Step-by-step explanation:

The question can be written as:

8 * 1.032^n = 140 000, this can be rearranged to

140 000/8 = 17500 = 1.032^n

now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]

example of log

2^3 = 8

log2 (8) = 3

log1.032 (17500) = 310.17

The ratio of boys and girls riding the bus is 4:3 if there are a total of 56 students on the bus,how many girls are on the bus

Answers

Answer:

18 or 14

Step-by-step explanation:

also, can u help me with my recent questin

Maria's kite tail was 3 1/2 feet long. Max's kite tail was 2 1/4 feet long. How much shorts was max's kite tail in inches?

Answers

Answer: [tex]\frac{5}{4}\ ft[/tex]

Step-by-step explanation:

Given

Maria kite tail is [tex]3\ \frac{1}{2}\ ft[/tex] long

Max's kite tail is [tex]2\ \frac{1}{4}\ ft[/tex] long

Converting it to a fraction

Maria kite tail

[tex]\Rightarrow \dfrac{3\times2+1}{2}=\dfrac{7}{2}\ ft[/tex]

Max's kite tail

[tex]\Rightarrow \dfrac{2\times4+1}{4}=\dfrac{9}{4}\ ft[/tex]

Difference between lengths

[tex]\Rightarrow \dfrac{7}{2}-\dfrac{9}{4}\\\Rightarrow \dfrac{14-9}{4}=\dfrac{5}{4}\ ft[/tex]

Max's tail is [tex]\frac{5}{4}\ ft[/tex] short than Maria kite tail

Which expression is
equivalent to -3(4 - 6x)?


show steps please

Answers

Answer:

-3(4 - 6x)

-12 +18x

=18x - 12

Step-by-step explanation:

You multiple the negative 3 with positive 4 to get negative 12.

An you also multiple the negative 3 with negative 6x (a negative multiple a negative changes into positive) giving you 18x as your answer

Division sum:
12 ➗ 2 =
100 ➗ 1 =

Answers

Answer:

12÷2=6

100÷1=100

Step-by-step explanation:

Answer: 6 and 1

Answer:

6

100

Step-by-step explanation:

in division:

12÷2=6

100÷1=100

A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.

Answers

The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.

Sketch of the ship's motion

The sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.

                              <-------- 200 km-------

                               |

                               | 240 km

                              ↓

Displacement of the ship

The displacement of the ship from the initial position is calculated as follows;

d² = 200² + 240²

d² = 97,600

d = √97,600

d = 312.4 km

Direction of the displacement

tanθ = 240/200

tanθ = 1.2

θ = tan⁻¹(1.2)

θ = 50.2⁰

Learn more about displacement here: https://brainly.com/question/2109763

#SPJ2

Solve this for me please i need help with it

Answers

Answer:

sin 60 = 6 sqrt(3) / a

sqrt(3)/2 = 6 sqrt(3) / a

1/2 = 6/a

a =12

sin 30 = b / a

1/2 = b / 12

b=12/2

b=6

Step-by-step explanation:

Select all the statements about the graphs of g (x) - 5 a? and f (x) = x2 that are true.

1. f and g open in the same direction.

2. f and g intersect twice.

3. f and g have the same axis of symmetry.

4. f and g have the same vertex.

5. g is wider than f.

Answers

Answer:

Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!

Between which two points can you draw a line with a negative slope? Pls answer quick

Answers

Answer:

Between A and C.

Step-by-step explanation:

A negative slope rises to the left  (\).

Answer:

a line between a and c

Step-by-step explanation:

if you were to draw a line between point a and point c the slope would be [tex]-\frac{3}{4}[/tex]

X=
Y=
The polygons to the right are similar. Find the value of each variable

Answers

Answer:

y = 7

x = 24

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal

For the bigger triangle we have a total 48; so for the smaller we have x

For the bigger, we have 14, so for the smaller, we have y

Mathematically;

25/x = 50/48

x * 50 = 25 * 48

x = (25 * 48)/50

x = 24

For y;

25/y = 50/14

y = (25 * 14)/50

y = 7

A local company employs a varying number of employees each year, based on its needs. The labor costs for the company include a fixed cost of $44,604.00 each year, and $27,396.00 for each person employed for the year. For the next year, the company projects that labor costs will total $1,715,760.00. How many people does the company intend to employ next year?
A.
731
B.
125
C.
61
D.
31

Answers

Answer:

D

Step-by-step explanation:

P × R × T÷ 100

1,715,760.00×27,396.00×44,604.00÷100

2.096609278659÷100

20,966,092,786,598.4

=31

3√x^2
I need to write this as a fractional exponent.​

Answers

[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]

[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]

I do not know which one you mean but still one of them is still your answer. :)

need help will give brainliest​

Answers

area is base x height
8cm is the base , 8 cm is the height
8x8=64cm

Help me please like right now

Answers

A is 0=0 1=3 2=6 3=9 4=12 your are timing by 3’s

The sales tax on a $30 purchase was
$2.40. What was the sales tax rate?

Answers

Answer:

8 percent

Step-by-step explanation:

2.4/30 = 0.08 or 8%

if a bird flew 30 meters in 10 seconds how far would it fly in 1 second

Answers

Answer: The bird would fly 3 meters in 1 second. Have a good day!!

30 divided by 10 is 3. Therefore, 3 is your answer!


How many cubes with side lengths of 1/3
cm does it take to fill the prism?

Answers

Answer:

48 cubes

Step-by-step explanation:

You could fit these cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm x 2 2/3 cm x 2/3 cm.

How to see the other 3 screenshots click the 3 mini squares

Answers

112 : 8
112/8 = 14
ratio of customer to lane
14 : 1

Answer:

click the squares its easy and simple

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