Answer:
-39 2/3
Step-by-step explanation:
t - 122= 2t - 3
subtract 't' from each side to get:
-122 = 3t - 3
add 3 to each side to get:
-119 = 3t
divide each side by 3 to get:
t = -39 2/3
Answer:
a. $270
b. $3,278.18
Step-by-step explanation:
Given that
The principal amount is $3,000
Annual rate of interest is 3%
And, the time period is 3 years
We need to find out the simple interest & compound interest
The following formulas should be used
a. For simple interest
= Principal × rate of interest × time period
= $3,000 × 3% × 3 years
= $270
b. For compound interest
= Principal × (1 + rate of interest)^time period
= $3,000 × (1 + 0.03)3
= $3,000 × 1.03^3
= $3,278.18
Answer:
The first three nonzero terms in the Maclaurin series is

Step-by-step explanation:
GIven that:

The Maclaurin series of cos x can be expressed as :


From equation(1), substituting x with (4x), Then:

The first three terms of cos (4x) is:



Multiplying equation (2) with (3); we have :




Finally , multiplying 5 with
; we have:
The first three nonzero terms in the Maclaurin series is

The formula for the nth term of an arithmetic sequence is:

where a is the first term and d is the common difference.
Plugging the given values into the formula, we get:

The answer is b. 98.
12 times something cannot equal to 2 unless it is a negative number,is there a negative number included?