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
AlekseyPX
3 years ago
5

A bank features a savings account that has an annual percentage rate of r=5.2% with interest compounded quarterly. Marcus deposi

ts $8,500 into the account.
The account balance can be modeled by the exponential formula S(t)=P(1+rn)^nt, where S is the future value, P is the present value, r is the annual percentage rate written as a decimal, n is the number of times each year that the interest is compounded, and t is the time in years.

(A) What values should be used for P, r, and n?

P= _____ , r=______ , n=________

(B) How much money will Marcus have in the account in 7 years?
Answer = $______ .
Round answer to the nearest penny.
Mathematics
1 answer:
Aloiza [94]3 years ago
6 0

Answer:

Part A)

P=\$8,500\\ r=0.052\\n=4  

Part B) S(7)=\$12,203.47  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

S(t)=P(1+\frac{r}{n})^{nt}  

where  

S is the Future Value  

P is the Present Value  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

Part A)

in this problem we have  

P=\$8,500\\ r=5.2\%=5.2/100=0.052\\n=4  

Part B) How much money will Marcus have in the account in 7 years?

we have

t=7\ years\\ P=\$8,500\\ r=0.052\\n=4  

substitute in the formula above  

S(7)=8,500(1+\frac{0.052}{4})^{4*7}  

S(7)=8,500(1.013)^{28}  

S(7)=\$12,203.47  

You might be interested in
Question :
Elza [17]

Answer:

C) 405.3 ft

Step-by-step explanation:

A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.

Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:

\frac{a}{sin(A)}= \frac{b}{sin(B)} =\frac{c}{sin(C)}

In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

82 + 78 + ∠C = 180

∠C + 160 = 180

∠C = 20°

Using sine rule:

\frac{c}{sin(C)}=\frac{a}{sin(A)}\\\\\frac{140}{sin(20)}=\frac{a}{sin(82)}\\\\a=    \frac{140*sin (82)}{sin(20)}\\\\a=405.3\ ft

a =  distance from Ship B to the signal fire at point C

8 0
3 years ago
What two numbers add up to 6.5 and multiply to .64
melomori [17]
You multiply by 10 or more
5 0
3 years ago
Someone please help me
lawyer [7]
Part a: subtract 48-30=18
Part b: i found it by subtracting 48 -30 because it says left over

3 0
3 years ago
Your company spends 15% of their budget on rent each year. Their operating budget was $45,000.
ella [17]
They have 6750 dollars left
6 0
3 years ago
Which expression is equivalent to 52(2x+1)?
Mama L [17]

Answer:

52 x 2 + 1 - 1 = 104

Adding some description to extend my answer since the equation was too short.

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of X
    11·1 answer
  • Three fifths of a number is -24 what is the number ???
    14·1 answer
  • This year, Benny is 12 years old, and his mom is 48 years old.
    6·1 answer
  • Explain why (5,-2) and (-2,5) do not represent the same point
    13·1 answer
  • Please help me c:
    11·1 answer
  • The measure of the arc BC is __.
    13·2 answers
  • What transformation preserves orientation but not size
    9·2 answers
  • What is the two ratios equivalent to 3 to 4
    7·1 answer
  • I am so bored yall ttm plz
    11·2 answers
  • A set of cards contains the numbers 1 through 20. Mathieu chooses a card at random, records the number of the card, and then ret
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!