Use the expression:
y₂ - y₁
--------
x₂ - x₁
choose one set to be your ₁, and the other to be your ₂. Plug them in
3 - 2 1
------- = ----------
5 - (-2) 7
your slope will be 1/7
hope this helps
Answer:
It will double in the year 2063
Step-by-step explanation:
Let the amount deposited be $x, when it doubles, the amount becomes $2x
we can use the compound interest formula to know when this will happen
The compound interest formula is as follows;
A = P(1+r/n)^nt
In this question,
A is the amount which is 2 times the principal and this is $2x
P is called the principal and it is the amount deposited which is $x
r is the interest rate which is 3.2% = 3.2/100 = 0.032
n is the number of times compounding takes place per year which is quarterly which equals to 4
t is the number of years which we want to calculate.
Substituting all these into the equation, we have;
2x = x(1+0.032/4)^4t
divide through by x
2 = (1+ 0.008)^4t
2 = (1.008)^4t
we use logarithm here
Take log of both sides
log 2 = log (1.008)^2t
log 2 = 2t log 1.008
2t = log 2/log 1.008
2t = 86.98
t = 86.98/2
t =43.49 which is 43 years approximately
Thus the year the money will double will be 2020 + 43 years = 2063
Answer: Rectangle around the cylinder, Lateral surface of the cone, Half a sphere
To find this surface area, you have 3 different parts. First, you need the rectangular portion of the cylinder, because the circles will be on the inside of the composite shape. Then, you will need the lateral side of the cone, that's everything but the circular base. Again, the circle will be on the interior. Finally, you should find the surface area of half of the sphere.
Answer:
1055.58 cube inches
Step-by-step explanation:
radius time height
Answer:
a. The price per ticket is 4 bucks, and b. you get 1/4 of a ticket for a dollar.
1. the penguin walks 75 feet in 45 seconds, and 2. it takes 27 seconds to walk 45 feet.
Step-by-step explanation:
Tickets:
16 dollars divided by 4 tickets is 4 dollars, so 4 dollars = 1 ticket. therefore, 1 dollar gives you 1/4 of a ticket.
Penguins
formula: X = feet, Y = seconds
X*0.6=Y
10 feet*0.6=6 seconds
(?) feet*0.6= 45 seconds
75 feet*0.6=45 seconds
same thing, but backwards this time
45 feet*0.6=(?) seconds
45 feet*0.6= 27 seconds
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