So, to set up your equation is the hardest part. If you remember the basic format, you're set.
I(t) = P * (1+r%)^t
t= time and this will be our variable
Initial amount P = $2740
Rate = 4.3% which converts numerically into .043
I(t) = 7000
Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.
I(t) = $2740(1+4.3%)^t
I(t)=2740(1.043)^t
Now plug in for $7000 for I(t)
7000=2740(1.043)^t Divide both sides by 2740
7000/2740 = 2740/2740(1.043)^t
2.55474453=(1.043)^t
Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.
In your calculator you can set up:
ln(2.55474453)/ln(1.043) = t which is the method I prefer since it's much simpler
t=22.278528
but you can also graph it in your ti-84
with
y1=2.55474453
y2=(1.043)^x
and find where they intersect on the graph.
either way it'll be the same answer
-⅔ (6x + 9) = 18
Apply distributive property. Multipy -⅔ to 6x and 9.
-4x - 6 = 18
Add 6 to both sides so -4x can be alone.
-4x - 6 + 6 = 18 + 6
-4x = 24
To get x alone, divide both sides by -4.
-4/-4x = 24/-4
x = -6
x = -6 is your answer. I hope this helps! Let me know if you need more help or if I got something wrong.
<h3>
Answer: Choice C) $1,444.50</h3>
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There are two methods to get the answer.
The slightly longer method is to take 7% of the original price to get
7% of 1350 = (7/100)*1350 = 0.07*1350 = 94.50
The sales tax is $94.50
Add this onto the original price to get 1,350+94.50 = 1,444.50
----------------------------
A shortcut is to multiply the original price by 1.07
The multiplier 1.07 represents a 7% increase since
- 1 = 100%
- 0.07 = 7%
- 1.07 = 1 + 0.7 = 100% + 7%
So we will have 1.07*1350 = 1,444.50
Answer:
Step-by-step explanation:
AC = length of flagpole = 12 ft
AB = length of shadow = 14 ft
BC = length from the top of the flagpole to the end of the shadow = x ft
Use Pythagorean theorem to find the length of x,
x² = AC² + BC²
= 12² + 14²
= 144 + 196
= 340
x = √340
x = 18.4 ft
Answer:
fals it would be 11
Step-by-step explanation:
11 x 3 = 33
3 x 11 = 33
33 divide 11 = 3
33 divide 3 = 11
