Answer:
n = 6
Step-by-step explanation:
Givens
r = 4
a = 2
Sum = 2730
Equation
Sum = a(1 - r^n)/(1 - r)
Solution
2730 = 2 (1 - 4^n) / (1 - 4) Reduce the denominator
2730 = 2(1 - 4^n)/-3 Multiply both sides by -3
2730*-3 = 2(1 - 4^n) Simplify the left
-8190 = 2(1 - 4^n) Divide by 2
-8190/2 = 1 - 4^n Simplify
-4095 = 1 - 4^n Subtract 1 from both sides.
-4096 = - 4^n Divide by - 1
4096 = 4^n This looks like n is fairly large. You could use logs. Try n = 6.
4^6 does equal 4096 So your answer is 6.
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Let's try it with logs. Ignore this if you don't know how to do this.
log(4096) = log(4)^n
log(4096) = n*log(4) Divide by log 4
log(4096)/log(4) = n
3.6124 / 0.6021 = n
n = 6
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The hint is very helpful. Make sure you can follow it through
12 oz jar = 360ml so 24 oz = 720 ml and costs $2.69
1 qt jar = 3785ml and costs $3.29
comparing the two prices, the best jar to buy is the one holding 1 qt of sauce
7 yrds/sec because in the course of two seconds, he runs 14 yrds divide that by 2 to get 7 yrds/sec. you can allo chech with the next time which is 3 seconds more and he goes 21 yards more.
Answer:
I cannot see the circle so I don't know which statement is true. If you want you can make another question and include the circle by uploading the picture
Step-by-step explanation:
8y-3=6y+17
add 3 on both sides
8y=6y+20
-6y on both sides
2y=20
divide by 2 on both sides
y=10
