A(n)=4+4(n-1)
a(n)=4+4n-4
a(n)=4n
76=4n
n=19
The sum of any arithmetic sequence (series are infinite) is:
(a+a(n))(n/2)
The average of the first and last terms times the number of terms, in this case we found that n=19 so:
19(4+76)/2=760
Answer:
5x + 3
Step-by-step explanation:
1) Collect like terms.
(2x − x + 3x + x) + (5 − 2)
2) Simplify
5 x + 3
Answer:
57.53years to the nearest hundredth
Step-by-step explanation:
For compound interest,A=P(1+r/100)^t
where r=rate of interest
t= investment tenor
$43800=6400(1+3.4/100)^t
which simplifies to 57.5250≈57.53 to the nearest hundredth
If you mean 0.702 divided by 10 then the answer would be 0.0702. But your question is very... uh... vague because I'm positive no one has heard of 2 thousands 7 tens. Though I'm pretty sure you meant thousandths and tenths, but before you post a question please use correct wording and spelling.
Answer:
x = (-9)
Step-by-step explanation:
From the diagram, we see that the triangle is an isosceles triangle. Since it is an isosceles triangle we know that the angles at the base of an isosceles triangle are equal to each other, so the angles that is not marked will be equal to m∠2. Since now we know that, we can make the following equation...
m∠2 + m∠2 + 84 = 180
Now we solve it and get...
2(m∠2) = 180 - 84
2(m∠2) = 96
m∠2 = 48
Now we substitute m∠2 with x + 57, and get...
m∠2 = 48
x + 57 = 48
x = 48 - 57
x = (-9)