All categories

2 years ago

Pens cost 15 pence each.

Mathematics

1 answer:

ch4aika [34]2 years ago

7 0

Answer:

The amount the school pays is £32.40

Step-by-step explanation:

The cost of each pen = 15 pence

The cost of each ruler = 20 pence

The number of pens bought by the school = 150

The number of rulers bought by the school = 90

The cost reduction (discount) on the items bought = 1/5

Therefore, we have;

The total cost of the pens bought by the school = 150 × 15 = 2250 = £22.50

The total cost of the rulers bought by the school = 90 × 20 = 1800 = £18.00

The total cost of the writing materials (rulers and pens) bought by the school = £22.50 + £18.00 = £40.50

The discount = 1/5 total cost reduction = 1/5×£40.50 = $8.10

The amount the school pays = The total cost of the writing materials - The discount

The amount the school pays = £40.50 - $8.10 = £32.40

The amount the school pays = £32.40.

You might be interested in

Gavyn rolls a fair dice 540 times.<br> How many times would Gavyn expect to roll a four?

Flura [38]

540 / 4 = 135 times.

3 0

1 year ago

Read 2 more answers

Work this travel problem based on the data provided in the various tables in this section.

grigory [225]

42% ................................

3 0

2 years ago

Meg used this table to track the average attendance from month to month at her theater for five months. A 5-column table with 1

White raven [17]

Answer:

B - Her monthly average would have increased by $19.57. ... Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month ... Lisa is currently taking physics as one of her electives in school.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

The average credit card debt for a recent year was $8,776. Five years earlier the average credit card debt was $8,189. Assume sa

Anestetic [448]

Answer:

We reject H₀. We support that the new average credit card debt is bigger than the previous average

Step-by-step explanation:

Five years earlier

μ = 8189

σ = 690

Sample size n = 32

Recent year debt

x = 8776

Sample size n = 32

a) Hypothesis Test:

Null Hypothesis H₀ x = μ = 8189

Alternative Hypothesis Hₐ x > μ

b) z(c) Alternative Hypothesis establishes that the test is a one tail-test to the right.

z(c) for significance level α = 0.05 is from z-table z(c) = 1,64

c) z(s) = ( x - μ ) / σ /√n

z(s) = ( 8776 - 8189 ) / 690 /√32

z(s) = 587 *5,66/ 690

z(s) = 4,81

d) Comparing z(c) and z(s)

z(s) > z(c) Then z(c) is in the rejection region and we reject H₀

e) We have evidence that at 95 % of confidence the new value for the debt in credit card is now bigger than the average

7 0

1 year ago

The population of a particular city is given by the function P(t) = 27,400(1.07)t, where t is the time in years and P(t) is the

otez555 [7]

Answer:

27,400 is the current population

7% is the rate of increase

The new size is:

38,430 is the population if t is an exponent

146,590 is t is NOT an exponent in the formula you typed

Step-by-step explanation:

To find the population in a future year, use the formula:

$P(t) = 27,400(1.07)t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)t\\P(t) = 27,400(1.07)(5)\\P(t) = 146,590$

Or if the equation is supposed to have t as an exponent then look below:

$P(t) = 27,400(1.07)^t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)^t\\P(t) = 27,400(1.07)^(5)\\P(t) = 38,430$

This formula is based off the standard formula $A=A_0(1+r)^t$ so r, the rate is 1.07=1+0.07 so r is 7%.

$A_0$ is the starting population which is 27,400 here.

4 0

2 years ago