All categories

3 years ago

The price of a laptop is increased by 15%.The old price of the laptop was £300.Work out the new price

Mathematics

1 answer:

Alika [10]3 years ago

6 0

Answer: 345

Step-by-step explanation:

15% + 100% = 115%

100%.......300£

115%..........x£

x = 115*300/100

x= 345

You might be interested in

What is the length of BC in the right triangle below?<br> A. ^234<br> B. 234<br> c. ^216<br> D. 216

Savatey [412]

We can use the pythagorean theorem to solve this

The pythagorean theorem = a^2 + b^2 = c^2, while

a = one leg

b = the second leg

c = the hypotenuse

In this problem,

a = 3

b = 15

c = ?

Let's plug our values into the pythagorean theorem

(3)^2 + (15)^2 = c^2

9 + 225 = c^2

Add together the left side

234 = c^2

Take the sqrt of both sides

sqrt(234) = c

The length of BC = sqrt(234)

4 0

3 years ago

For the following geometric sequence find the recursive formula and the 6th term in the sequence. {12, 8, 4, ...}

elena-14-01-66 [18.8K]

It's the arithmetic sequence not geometric sequence.

$\left\{\begin{array}{ccc}a_1=12\\a_n=a_{n-1}-4\end{array}\right$

6 0

3 years ago

How do I reduce 3 and 25/21

Anarel [89]

If it's a mixed fraction, then:

3 0

4 years ago

Nazerhy deposits $8,000 in a certificate of deposit. the annual interest rate is 6%, and the interest will be compounded quarter

Bess [88]

The worth of the certificate in 10 years would be $14,512.15

Compound Interest and Its Formula

Compound interest is the type of interest based investment that causes initially modest sums of money to eventually increase to big sums. The formula for compound interest is given by,

$A = P(1+\frac{r}{n})^{nt}$

Here,

A is the final worth of the investment

P denotes the Principal amount of money that is invested

r denotes the rate of the compound interest

t denotes the time period in years

n denotes the number of times interest is compounded in one year

Given Information

P = $8,000

r = 6% = 0.06

n = 4 (∵ Compounded quarterly)

t = 10 years

Solving for A

Substituting the values of P, r, n, and t in the above mentioned formula of compound interest, we get,

$A = 8,000(1+\frac{0.06}{4})^{4*10}$

$A = 8,000(\frac{4.06}{4})^{40}$

$A = 8,000* 1.8140184$

$A = 14,512.14726$

Rounding the answer to two decimal places, we get,

$A = 14,512.15$

Therefore, Nazerhy would get $14,512.15 after 10 years.

Learn more about compound interest here:

brainly.com/question/26457073

#SPJ4

7 0

2 years ago

A picture is 46 cm by 32 cm. A scale diagram of the picture must fit in a space that is 3 m by 2 m. Which scale would be the mos

Marrrta [24]

Answer:

A picture that is 46cm by 32 cm must fit in a space that is 3m by 2m

First, let's rewrite both of these dimensions in the same units.

Knowing that:

1m = 100cm

Then the dimensions of the space can be rewritten from:

3m by 2m

to:

300cm by 200cm

So, if we enlarge our original picture by a scale factor K, the new dimensions of the picture will be:

K*46cm by K*32cm

Now we just need to find a value of K such that:

K*46cm is something near to 300cm

K*32cm is something near to 200cm

First, we can solve the equation:

K*46cm = 300cm

solving this for K we get:

K = 300cm/46cm = 6.5

While if we solve the equation:

K*32cm = 200cm

we get:

K = 200cm/32cm = 6.25

So we got two possible scale factors.

Which one we should take?

Notice that if we wanted to use the larger one (K = 6.5) for the 32cm side. the new length would be:

32cm*6.5 = 208cm

This is larger than the 200cm of space that we have

Then we can not select the larger option, we can only take the other value:

K = 6.25

Then we can conclude that a reasonable scale factor to use is K = 6.25

4 0

3 years ago