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PilotLPTM [1.2K]
3 years ago
12

The graph below shows the price, y, in dollars, of different amounts of pounds of almonds, x: A graph titled Almond Prices shows

Number of Pounds on x axis and Price in dollars on y axis. The scale on the x axis shows numbers from 0 to 12 at increments of 2, and the scale on the y axis shows numbers from 0 to 84 at increments of 14. A straight line joins the ordered pairs 0, 0 and 12, 84 Which equation best represents the relationship between x and y? y = 7x y = x + 7 y = 14x y = x + 14
Mathematics
1 answer:
VMariaS [17]3 years ago
7 0
(0,0)(12,84)
slope = (84 - 0) / (12 - 0) = 84/12 = 7

it goes thru the origin (0,0) therefore, the y int = 0

In y = mx + b form, the slope will be in the m position and the y int will be in the b position.

ur equaton is : y = 7x + 0, which can also be written as y = 7x <==
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A sum of money is placed at simple interest for 3 years at 10% annum and then the amount is invested for 3 years at the same rat
fgiga [73]

Answer:

Initial principal -$300,000

Investment amount after yr 3-$390,000

Final investment amount, after 6 yrs-$519,090

Step-by-step explanation:

Let X be the amount initially invested.

#The amount after 3 yrs of simple interest is calculated as:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X

#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:

A=P(1+i)^2\\\\471900=1.3X(1.1)^2\\\\471900=1.573X\\\\X=300000

Hence, the amount initially invested as $300,000

#Amount of invested after 6 yrs is therefore:

A=P(1+i)^n\\\\=471900\times1.1\\\\=519090

Hence, the total amount of the investment after 6 yrs is $519,090

#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:

I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X\\\\=1.3\times 300000\\\\=390000

Hence, the total amount of the investment after first 3 yrs is $390,000

3 0
4 years ago
Evaluate the following<br> 1. sin(38°)<br> 2. cos(51°)<br> 3. tan(24°)
gizmo_the_mogwai [7]

Answer:

1) sin ( 38 )

Decimal form:

0.61566147

2) cos (51 )

Decimal form:

0.62932039

3)tan ( 24 )

Decimal form:

0.44522868

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7 0
3 years ago
Which equation describes the inverse of f(x) = 7x + 8?
Kipish [7]

Answer:

y = 1/7x - 8/7

Step-by-step explanation:

y = 7x+8

x=7y+8

x-8 = 7y

1/7x-8/7 = y

4 0
3 years ago
Hannah does push-ups in sets of 3.She did 10 sets pushups today.Then her coach asked her to do 15 more push-ups.How many push-up
Lana71 [14]
10x3= 30
30+15=45
Hannah did 45 push ups
7 0
4 years ago
Read 2 more answers
What is the volume of the prism? A rectangular prism with cubic units arranged in five rows of four. Each cubic unit is one cubi
vodka [1.7K]

Answer:

D. 80 cubic inches

Step-by-step explanation:

Arranged in five rows of four => we can say the length, depth and width as 5,4,4

So, the volume is equal to 5 x 4 x 4 = 80 cubic inches

Sorry that this answer might not make sense to you, I just can't think of any better explanation.

3 0
2 years ago
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