Answer:
Step-by-step explanation:
1. Supplementary
2. complementary
3. neither
4. These two are vertically opposite so neither.
5. Supplementary
6. They add to 90 so they are complementary
7. They add to 180 so they are supplementary.
8. These 2 are equal and vertically opposite. They are neither for this exercise.
9. Complementary: they add to 90.
Answer: At 6% = $66,800
At 10% = $34,400
Step-by-step explanation:
Let S be his savings. He divided S into x that goes at 6% and y at 10%
As he put twiced as much at the lower-yielding one, x = 2y
Simple interest is given by: Amount x interest x time
This way I₁ = x . 0.06 . 1 = 0.06x
I₂ = y. 0.10 . 1 = 0.10y
As x = 2y, I₁ = = 0.06 . 2y = 0.12y
As we know that the annual interest was $7348
I₁ + I₂ = 7348
0.12y + 0.10y = 7348
0.22y = 7348
y = 7348/0.22
y = 33,400
As x = 2y, x = 2.33,400 = 66,800
This was he invested $33,400 and $66,800
Answer:
Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference
we have
Let
we have that
so
The common difference is equal to 9
We can write an Arithmetic Sequence as a rule:
where
a_n is the nth term
a_1 is the first term
d is the common difference
n is the number of terms
Find the 38th term of the arithmetic sequence
we have
substitute the values
Answer:
58.25
Step-by-step explanation:
116.5 / 2
= 58.25
Hope this helps!!