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
Svet_ta [14]
3 years ago
13

You plan on going on vacation and decide to invest $2,875 into an investment fund that compounds your money monthly at 4.2%. How

much money will you have to go on your vacation at the end of 3 years of high school?
Mathematics
1 answer:
LiRa [457]3 years ago
4 0

Answer: you would have $3260 to go on your vacation at the end of 3 years of high school

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $2,875

r = 4.2% = 4.2/100 = 0.042

n = 12 because it was compounded 12 times in a year.

t = 3 years

Therefore,.

A = 2875(1 + 0.042/12)^12 × 3

A = 2875(1 + 0.042/12)^12 × 3

A = 2875(1 + 0.0035)^36

A = 2875(1.0035)^36

A = $3260

You might be interested in
Thirty cows. Twenty-eight chickens. How many didn't?
Anon25 [30]
20 didn't do it for this one.
3 0
3 years ago
A hubcap has a radius of 16 centimeters. What is the area of the hubcap? Round your answer to the nearest hundredth. Use 3.14 fo
Shtirlitz [24]
The formula for the area of a circle is pi*r^2. 3.14*16^2 = 803.84 centimeters squared
7 0
2 years ago
Prove A-(BnC) = (A-B)U(A-C), explain with an example​
NikAS [45]

Answer:

Prove set equality by showing that for any element x, x \in (A \backslash (B \cap C)) if and only if x \in ((A \backslash B) \cup (A \backslash C)).

Example:

A = \lbrace 0,\, 1,\, 2,\, 3 \rbrace.

B = \lbrace0,\, 1 \rbrace.

C = \lbrace0,\, 2 \rbrace.

\begin{aligned} & A \backslash (B \cap C) \\ =\; & \lbrace 0,\, 1,\, 2,\, 3 \rbrace \backslash \lbrace 0 \rbrace \\ =\; & \lbrace 1,\, 2,\, 3 \rbrace \end{aligned}.

\begin{aligned}& (A \backslash B) \cup (A \backslash C) \\ =\; & \lbrace 2,\, 3\rbrace \cup \lbrace 1,\, 3 \rbrace \\ =\; & \lbrace 1,\, 2,\, 3 \rbrace\end{aligned}.

Step-by-step explanation:

Proof for [x \in (A \backslash (B \cap C))] \implies [x \in ((A \backslash B) \cup (A \backslash C))] for any element x:

Assume that x \in (A \backslash (B \cap C)). Thus, x \in A and x \not \in (B \cap C).

Since x \not \in (B \cap C), either x \not \in B or x \not \in C (or both.)

  • If x \not \in B, then combined with x \in A, x \in (A \backslash B).
  • Similarly, if x \not \in C, then combined with x \in A, x \in (A \backslash C).

Thus, either x \in (A \backslash B) or x \in (A \backslash C) (or both.)

Therefore, x \in ((A \backslash B) \cup (A \backslash C)) as required.

Proof for [x \in ((A \backslash B) \cup (A \backslash C))] \implies [x \in (A \backslash (B \cap C))]:

Assume that x \in ((A \backslash B) \cup (A \backslash C)). Thus, either x \in (A \backslash B) or x \in (A \backslash C) (or both.)

  • If x \in (A \backslash B), then x \in A and x \not \in B. Notice that (x \not \in B) \implies (x \not \in (B \cap C)) since the contrapositive of that statement, (x \in (B \cap C)) \implies (x \in B), is true. Therefore, x \not \in (B \cap C) and thus x \in A \backslash (B \cap C).
  • Otherwise, if x \in A \backslash C, then x \in A and x \not \in C. Similarly, x \not \in C \! implies x \not \in (B \cap C). Therefore, x \in A \backslash (B \cap C).

Either way, x \in A \backslash (B \cap C).

Therefore, x \in ((A \backslash B) \cup (A \backslash C)) implies x \in A \backslash (B \cap C), as required.

8 0
2 years ago
Which is equivalent to (-1+2i)(5i)
Naya [18.7K]

Answer:

.

Step-by-step explanation:

3 0
3 years ago
Please help asap oiuytyghjkjhugytfhjkl
Alika [10]

Answer:

112

Step-by-step explanation:

correct me if im wrong.

I got this from doing 30 percent out of 160

160×0.30

160-48=112

7 0
3 years ago
Read 2 more answers
Other questions:
  • Aladdin had two envelopes to start. He bought three packs of
    11·1 answer
  • 2x + y - z=-7<br> 5y- z=1<br> 3z = 12<br> solve the 3x3 system
    11·1 answer
  • If x = -6, which inequality is true, -5 - 3x &gt; 10, -3 - 5x &lt; -14 or 2-x &lt; -3?
    5·1 answer
  • What is bigger? 1/3 or 30%. Are they even?
    11·2 answers
  • There are 4 stores. Each store capers $1 to enter and $1 to exit. A man enters one store and spends half of his money. After lea
    12·1 answer
  • 3p - 5 = 19<br> Answer when solved??
    9·1 answer
  • Novak hiked for 1¼ miles. After resting, he continued hiking for 2½ miles. How far did Novak hike?
    8·1 answer
  • What are the x and y intercept for the graph of 4x - 3y = -12
    15·1 answer
  • What is the area of the triangle in centimeters squared?
    6·1 answer
  • Imagine your class is having a pizza party and you are trying to decide how many pizzas to buy. The Italian Kitchen Pizzeria cha
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!