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sashaice [31]
2 years ago
14

Bob is having a party and want to order some cake. there will be 57 guest and he wants to make sure that everyone gets a slice o

f cake. he wants to pay as little as possible for the cakes and for them to be the same size. First cake 20cm, serve 12 people and cost £13.50, second cake 25cm, serve 20 people and cost £18.75
Mathematics
1 answer:
Dafna1 [17]2 years ago
4 0
To find out which cake is better for the price, we need to multiply the cake amounts by how many cakes of that kind we need. You need 5 20cm cakes, so we multiply 5 by the price of the 20cm cake (13.50) to get $67.50. You need 3 25cm cakes, so 3 x 18.75 = 56.25.

20cm cake: $67.50
25cm cake: $56.25

Answer: The 25cm cake is cheaper for more people.
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Susan and ronald dugan agreed upon the price of 256,000 for their new home. They plan to make 30 percent down payment and financ
Eduardwww [97]

Answer:

The total amount to be paid for new home is $838,014.72  

Step-by-step explanation:

Given as :

The price of the new house = $256,000

The down payment amount = 30% of house price

So, The down payment price =  30% of $256,000

i.e The down payment price =  \dfrac{30}{100} × 256000

Or, The down payment price = $76,800

Now, rest amount is finance

So, The finance Amount = p = $256000 - $76800 = $179,200

The rate of interest applied = r = 7.5%

The time period of finance = t = 20 years

Let The Amount after 20 years of finance = $A

Let The total amount to be paid for new home = $B

<u>Now, From Compound Interest </u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $179,200 × (1+\dfrac{\textrm 7.5}{100})^{\textrm 20}

Or, A = $179,200 × (1.075)^{\textrm 20}

Or, A = $179,200 × 4.24785

∴  A = $761,214.72

So,The Amount after 20 years of finance = A = $761,214.72

<u>Now, Again</u>

The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance

Or, B = $76,800 + A

Or, B = $76,800 + $761,214.72

Or, B = $838,014.72

So, The total amount to be paid for new home = B = $838,014.72

Hence, The total amount to be paid for new home is $838,014.72  Answer

7 0
2 years ago
The segments shown below could form a triangle.
Rina8888 [55]

Answer:

A. True

Step-by-step explanation:

The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.

a + b

9 + 1 = 10>9

a + c

9 + 9 = 18>1

c + b

9 + 1 = 10>9

5 0
2 years ago
Which point is located at (4, –2)? On a coordinate plane, point A is 2 units to the left and 4 units up. Point B is 4 units to t
ycow [4]

Answer:

Point B is 4 units to the right and 2 units down

Step-by-step explanation:

Since our <em>x</em> is positive, we are going to the right of the x-axis (where positive values lay).

Since our <em>y</em> is negative, we are going down in the y-axis (where negative values lay).

7 0
2 years ago
Read 2 more answers
Using the chart above, find the state withholding tax for the following unmarried person. Mary Smith, salary $342, 2 exemptions
dmitriy555 [2]

Answer: 6.76


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3 0
2 years ago
Which equation has the solutions x = 1 plus-or-minus StartRoot 5 EndRoot?
Sophie [7]

Answer:

The quadratic equation is x^2-2x-4

Step-by-step explanation:

We want to know the equation that has the solution below;

x = 1 ± √5

This means x = 1 + √5 or 1 - √5

The equation would thus be;

(x-1-√5)(x-1+ √5)

= x(x-1+ √5)-1(x-1+ √5)-√5(x-1+ √5)

Opening the brackets we have ;

x^2-x+ √5x-x + 1 -√5-√5x+ √5-5

collecting like terms we have;

x^2-2x+1-5

= x^2-2x-4

6 0
2 years ago
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