Look at the bottom of the pictures to see what number it is

George is 4 times Dorothy's age. If George is 56, how old is Dorothy?

yarga [219]

$56 \div 4 = 14$
Dorothy is 14 years old

good luck

7 0

3 years ago

Briony invests some money. Interest is paid on the money at a rate of 2% per annum for the first year and 1% per annum for the s

nalin [4]

Answer:

Brionny invested £8400.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

So the interest earned is:

$E = P*I*t = P*0.02*1 = 0.02P$

The total amount at the end of the first year is:

$T = E + P = 0.02P + P = 1.02P$

Second year:

We have that:

$P = 1.02P$

The interest earned is of:

$E = P*I*t = 1.02P*0.01*1 = 0.0102P$

The total amount is:

$T = E + P = 0.0102P + 1.02P = 1.0302P$

After two years, the investment is worth £8653.68 How much did Briony invest?

So

$1.0302P = 8653.68$

$P = \frac{8653.68}{1.0302}$

$P = 8400$

Brionny invested £8400.

3 0

3 years ago

ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (

harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

See the image in the attachment for the referred diagram.

The two triangles, triangle AEC and triangle BDC are similar triangles.
Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

This implies that:

AC/BC = EC/DC = AE/DB

Given:

$EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm$

a. Find the length of AE:

EC/DC = AE/DB

Plug in the values

$\frac{8.1}{5.4} = \frac{AE}{2.6}$

Cross multiply

$5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06$

Divide both sides by 5.4

$AE = \frac{21.06}{5.4} = 3.9 $ cm$

b. Find the length of AB:

$AB = AC - BC$

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

Plug in the values

$\frac{6.15}{BC} = \frac{8.1}{5.4}$

Cross multiply

$BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1$

Thus:

$AB = AC - BC$

Substitute

$AB = 6.15 - 4.1\\\\AB = 2.05 $ cm$

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

Learn more here:

brainly.com/question/14327552

3 0

2 years ago

In making a keychain,Sara uses a pattern of beads 3 times. After the key chain is complete, what fraction of the beads in the ke

nikdorinn [45]

1/2 of the beads will be blue, and 1/2 of them would be red Hope this helped!

3 0

3 years ago

As a preliminary measure, you want to review only the top 25% of applicants on the basis of of standardized test scores. How doe

lozanna [386]

Calculating the z-score provides additional information regarding how each subject did overall as the z-score takes dispersion into account.

<h3>What is a z score?</h3>

Z-score indicates how much a given value differs from the standard deviation. For example, the mean of a test could be a 73 and if a student scored an 85, that's great.

However, if the data is not spread out, that 85 could be the highest in the class by 10 points. That's much more information than just 15 points above the mean. This way you can tell when someone not only did well but did exceptionally well in comparison to his or her peers.

Learn more about z score on:

brainly.com/question/25638875

#SPJ1

7 0

2 years ago