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4 years ago

Sally bought 3 hamburgers and 2 drinks for $10.45. Jason bought 4

Mathematics

1 answer:

AleksAgata [21]4 years ago

4 0

(-1) 3x + 2y = 10.45
4x + 3y = 14.30
---------------------
x + y = 3.85
x = 1.55
y = 2.90

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Delvig [45]

Answer:

The amount after 6 months compounded quarterly is $1917.66 .

Step-by-step explanation:

Given as :

The principal amount deposited in account = $1850

The bank applied rate of interest = r = 7.25% compounded quarterly

The time period of loan = t = 6 months = 0.5 years

Let the Amount after 6 months = $A

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

Amount = principal × $(1+\dfrac{\textrm rate}{4\times 100})^{4\times time}$

Or, A = p × $(1+\dfrac{\textrm r}{4\times 100})^{4\times t}$

Or, A = $1850 × $(1+\dfrac{\textrm 7.25}{4\times 100})^{4\times 0.5}$

Or, A = $1850 × $(1.018125)^{2}$

Or, A = $1850 × 1.036578

∴ A = $1917.66

i.e A = $1917.66

So, The amount after 6 months = A = $1917.66

Hence, The amount after 6 months compounded quarterly is $1917.66 . Answer

4 0

3 years ago

A restaurant offers 6 choices of appetizer, 8 choices of a main meal, and 5 choices of dessert. A customer can choose to eat jus

Katen [24]

Answer:

377 choices

Step-by-step explanation:

From the above question, we are told that

A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses.

Let us represent each choice by :

A = Appetizer = 6

M = Main meal = 8

D = Dessert = 5

a) The combination of the 3 choices together

AMD=6 × 8 × 5=240

b) AM= Appetizer and Main meal

= 6 × 8 = 48

c) AD= Appetizer and Dessert

= 6 × 5 = 30

d) MD = Main meal × Dessert

= 8 × 5 = 40

e) A,M,D (each alone)=

Appetizer + Main meal + Dessert

= 6 + 8 + 5

= 19

Assuming all choices are available, how many different possible meals does the restaurant offer?

This is calculated as:

AMD + AM + AD + MD + A,M,D

240 + 48 + 30 + 40 + 19

= 377 choices

6 0

3 years ago

What is the equation to the graph? <br>

const2013 [10]

Answer:

y = -2/1 + 3

y = -2 + 3

either or

5 0

3 years ago

Can someone help me with this question please.

Tatiana [17]

Answer:

25.38 pounds for three roll

Step-by-step explanation:

Find and then compare the unit prices:

9.21 pounds per roll

25.38 pounds for three rolls => 8.46 pounds per roll

42.85 pounds for five rolls => 8.57 pounds per roll

Conclusion: 25.38 pounds for three rolls corresponds to the lowest (cheapest) unit price and is thus the best buy.

4 0

4 years ago

Persons A and B are at the beach, their eyes are 5 ft and 6 ft, respectively, above sea level. How many miles farther out is Per

Marysya12 [62]

Answer:

The radius of the earth is something like 4000 miles= about 20,000,000 feet. (Look up the exact radius of the earth to calculate the correct number yourself, I'm too lazy!)

The horizon is where you're looking at a tangent to the earth's surface. Since the tangent to a circle is perpendicular to the radius (if we assume the earth is a perfect sphere), we can set up a right angled triangle:

H...P

Where C is the centre of the earth, H is the horizon, and P is the person. CH = 20,000,000 feet. CP = 20,000,005 feet (in the case of the 5' person, that'd be me :) And there is a right angle at H.

So using Pythagoras' theorem, if d = PH, then:

d^2 = 20,000,005^2 - 20,000,000^2

=> d^2 = 200,000,025

=> d = 14142 feet (just under 3 miles)

For a 6' person:

d^2 = 20,000,006^2 - 20,000,000^2

=> d^2 = 240,000,036

=> d = 15491 feet

So the difference is 1349 feet or 0.256 miles

Repeat this exercise with the real radius of the earth (in feet) to get the correct answer, but it'll be pretty close to what I've given here

4 0

3 years ago