1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
I am Lyosha [343]
4 years ago
7

A $3,500 principal earns 3% annual interest, compounded semiannually (twice per year). After 20 years, what is the balance in th

e account?
a. $7,700.00 b. $4,713.99 c. $5,600.00 d. $6,349.06
Mathematics
1 answer:
Tpy6a [65]4 years ago
5 0
How many semiannual periods are there in 20 years... 20×2 = 40

FW = PW(1+i)^N
FW = $3500(1+0.03)^40

solve for FW
(sorry no calculator on me)
You might be interested in
12. The temperature in Anchorage, Alaska, will be
Allisa [31]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Please help me out..
Firdavs [7]
I think it’s B I’m sorry if I’m wrong
8 0
2 years ago
I really need help!
DaniilM [7]

Answer:

Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.

Step-by-step explanation:

6 0
2 years ago
Rewrite with only sin x and cos x.
Annette [7]

Option A

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

cos 3x = cos(x + 2x)

We know that,

\cos (a+b)=\cos a \cos b-\sin a \sin b

Therefore,

\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x  ---- eqn 1

We know that,

\sin 2 x=2 \sin x \cos x

\cos 2 x=\cos ^{2} x-\sin ^{2} x

Substituting these values in eqn 1

\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)  -------- eqn 2

We know that,

\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x

Applying this in above eqn 2, we get

\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)

\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}

\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x

Therefore,

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

Option A is correct

7 0
3 years ago
Is 3/47 a rational number
lesya692 [45]
3/47 is a rational number

p/q is a rational number, where p and q are real integers, and q does not equal to 0.
8 0
3 years ago
Other questions:
  • DE=4x+10, EF=2x-1, and DF=9x-15, find DF
    7·1 answer
  • Completely factor this quadratic expression: 4x2 + 12x − 72.
    6·2 answers
  • a sporting goods company can ship 6 footballs in each carton. how many cartons are needed to ship 75 footballs
    12·2 answers
  • 3 teachers share 2 packs of paper equally how much does each teacher get
    8·1 answer
  • The number of cans of corn sold varies directly with the number of packages of hot dog buns sold. If 23 cans of corn sell when 6
    9·2 answers
  • Brainliest if you pay for it
    7·2 answers
  • Anyone know the answer to this?
    5·1 answer
  • Element X is a radioactive isotope such that every 11 years, its mass decreases by half.
    12·1 answer
  • Unit #3 Lesson #4 Exit Ticket: The function y=h(x) is shown graphed below. Answer the following questions based on the graph.​
    15·1 answer
  • 3x4 + 20x3 + 14x2 + 170 + 30 and x + 6?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!