Answer:
$976,578.71
Step-by-step explanation:
We assume the deposits are made at the <em>beginning</em> of each quarter. The quarterly interest rate is 6%/4 = 1.5%. The number of quarterly payments is 15×4 = 60. The future value of an annuity due is ...
A = P(1+r)((1+r)^n -1)/r
where r is the quarterly interest rate, n is the number of payments, and P is the payment amount.
A = $10000(1.015)(1.015^60 -1)/.015 ≈ $976,578.71
The future value is $976,578.71.
Answer:
x = 6
Step-by-step explanation:
44 + 3x = 5x + 2x + 20 transfer like terms to the same side of the equation with the opposite sign:
44 - 20 = 5x + 2x - 3x add/subtract like terms
24 = 4x divide both side by 4
6 = x
Answer:
-18 and 2
Step-by-step explanation:
- 18 x 2 = -36
-18 + 2 = -16
I believe OD. 154in i’m not sure though



At

, you have

The trick to finding out the sign of this is to figure out between which multiples of

the value of

lies.
We know that

whenever

, and that

whenever

, where

.
We have

which is to say that

, an interval that is equivalent modulo

to the interval

.
So what we know is that

corresponds to the measure of an angle that lies in the third quadrant, where both cosine and sine are negative.
This means

, so

is decreasing when

.
Now, the second derivative has the value

Both

and

are negative, so we're essentially computing the sum of a negative number and a positive number. Given that

for

, and

for

, we can use a similar argument to establish in which half of the third quadrant the angle

lies. You'll find that the sine term is much larger, so that the second derivative is positive, which means

is concave up when

.