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
Bezzdna [24]
3 years ago
12

Solve the problem. Find the amount of money in an account after 12 years if $4700 is deposited at 5% annual interest compounded

quarterly. $8501.01 $8440.52 $8553.29 $8532.17
Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0

Answer:

The correct answer is $8532.17

Step-by-step explanation:

The formula for calculating investments with compound interests is as follows:

(1+\frac{R}{t})^{tn}*P

Where:

R is the annual interest rate,

t is the number of times the investment is to be compounded in a year,

n is the number of years,

P is the principal amount invested.

Replacing in the formula with the given values you have:

(1+\frac{0.05}{4})^{4*12}*4700 = 8532.1678

You might be interested in
The difference of 2 numbers is 21 and the quotient of the equation is 4 then what are the two numbers?
N76 [4]

Answer:

The two numbers are 28 and 7.

Step-by-step explanation:

Let the first number be x

Let the second number be y

The difference of x and y is x-y=21

The quotient of two numbers is x/y = 4

x-y =21    (This is equation 1)

x/y=4    (This is equation 2)  

By solving equation 2 we will get the value of x.

x/y=4

x=4y (Lets call it equation 3)

Now, put the value of x(equation 3) in (equation 1)

x-y=21

4y-y=21

3y=21

y=21/3

y=7

Now put the value of y in equation 3 to get the value of x

x=4y

x=4(7)

x=28

Solution Set {(x,y)(28,7)}

6 0
3 years ago
Find the value of y, rounded to the nearest tenth
Mamont248 [21]

Answer:

3.9 to nearest tenth.

Step-by-step explanation:

Using the theorem of intersecting chords:

9 * y = 5 * 7

y = 35/9

= 3.888...

7 0
2 years ago
Read 2 more answers
What is the smallest prime number p such that
Ne4ueva [31]

The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>

The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.

i.e.

  • p^3 + 4p^2 + 4p

By factorization, we have:

  • = p(p+2)²

Now, to get exactly 30 divisor.

  • (p+2)² requires to give us 15 factors.

Therefore, we can have an equation p + 2 = p₁ × p₂²

where:

  • p₁ and  p₂ relate to different values of odd prime numbers.

So, for the least values of p + 2, Let us assume that:

  • p₁ = 5 and p₂ = 3

p + 2 = 5 × 3²

p + 2 = 5 × 9

p + 2 = 45

p = 45 - 2

p = 43

Therefore, we can conclude that the smallest prime number p such that

p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

Learn more about prime numbers here:

brainly.com/question/145452

#SPJ1

8 0
2 years ago
A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] H
lapo4ka [179]

Answer: 8

Step-by-step explanation:

Given: A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles.

Total marbles other than green = 8

Total marbles other than green and yellow = 6

Then the number of sets of seven marbles include at least one yellow one but no green ones:-

^{2}C_1\times^{6}C_6+ ^2C_2\times^6C_5\\\\= 2\times 1+1\times6\\\\=2+6=8

Number of sets of seven marbles include at least one yellow one but no green ones = 8

3 0
3 years ago
4d2e - d2e find difference
Nataliya [291]
I think the answer is 1d.
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area of the polygon​
    9·2 answers
  • To the nearest tenth of a degree, find the sizes of the acute angles in the 5-12-13 triangle and in the 9-12-15 triangle. This e
    14·1 answer
  • Help me with this please
    11·1 answer
  • During traceys trip across the country she traveled 2884 miles her trip took 7 days find a unit rate to represent the average mi
    6·2 answers
  • The scatterplot represents the total fee
    6·1 answer
  • Angelina has 5 cakes. She
    10·1 answer
  • A toy store owner gives 47 balloons to his customers. He has 7 balloons left. How many balloons did he start with?
    13·1 answer
  • Which correctly completes this number sentence?
    8·2 answers
  • Pls help
    13·2 answers
  • What is the value of the 3rd iterate if x0 = 2.4 Carry out your answers to the 5th decimal place
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!