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3 years ago

If £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after 2 years?

Mathematics

1 answer:

Ray Of Light [21]3 years ago

8 0

Answer:

121.80

Step-by-step explanation:

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What is the slope of the line through (-9,6) and (-3, 9)?

Artyom0805 [142]

To find slope, y2-y1/x2-x1
9-6/-3-(-9)=
3/6= 1/2
Slope = 1/2.
Y=1/2x.

3 0

3 years ago

1. What is the constant of proportionality, k, of Kevin's wage? Greg's? Savannah's?

Gala2k [10]

Answer:

Part a) The constant of proportionality of Kevin's wage is $k=\$8.25\ per\ hour$

Part b) The constant of proportionality of Greg's wage is $k=\$9.00\ per\ hour$

Part c) The constant of proportionality of Savannah's wage is $k=\$9.50\ per\ hour$

Step-by-step explanation:

See the attached figure to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)

Kevin's wage

Take any point from the table

I take the point (2,16.50)

$k=\frac{16.50}{2}=\$8.25\ per\ hour$

Greg's wage

Take any point from the table

I take the point (3,27.00)

$k=\frac{27.00}{3}=\$9.00\ per\ hour$

Savannah's wage

Take any point from the table

I take the point (2,19.00)

$k=\frac{19.00}{2}=\$9.50\ per\ hour$

3 0

3 years ago

What is the perimeter of this triangle?

Annette [7]

Answer:

41.8

Step-by-step explanation:

5 0

2 years ago

Find the largest prime divisor of $15^6 - 7^6$<img src="https://tex.z-dn.net/?f=Find%20the%20largest%20prime%20divisor%20of%20%2

Novosadov [1.4K]

Answer:

Largest prime factor of the given expression is 379.

Step-by-step explanation:

Given the expression:

$15^6 - 7^6$

To find:

The largest prime factor of the given expression.

Solution:

First of all, let us factorize the given expression.

$15^6 - 7^6\\\Rightarrow (15^3)^2 - (7^3)^2\\\\\text{Using } x^{2} -y^2 = (x+y) (x-y)\\\\\Rightarrow (15^3+7^3)(15^3-7^3)$

Let us learn two formula:

$x^3+y^3 = (x+y)(x^2+y^2-xy)$

$x^3-y^3 = (x-y)(x^2+y^2+xy)$

Applying the above formula in the expression written above:

$(15^3+7^3) = (15+7)(15^2+7^2-15\times 7)\\\Rightarrow 22(225+49-105 ) = 2 \times 11 \times 169 \\\Rightarrow 2 \times 11\times 13\times 13\\\Rightarrow 2 \times 11\times 13^2$ ...... (1)

Similarly:

$(15^3-7^3) = (15-7)(15^2+7^2+15\times 7)\\\Rightarrow 8(225+49+105 ) = 2^3 \times 379$ ........ (2)

Multiplying the expressions from (1) and (2) to get the result:

$\therefore 15^6 - 7^6 = 2^4 \times 11 \times \underline{\bold{379}} \times 13 ^2$

So, largest prime factor of the given expression is 379.

7 0

2 years ago

The painting shown at the right has and area of 240 in² what is the value of x?

Nataliya [291]

Answer:

The answer is 60

Step-by-step explanation:

If you take a calculator all you have to do is divide 240 by 4 and the and the answer will be 60 please mark me at halve star thank you!

4 0

2 years ago

Read 2 more answers