Jamie deposits $627 into a savings account. The account has an interest rate of 3.5%, compounded quarterly. Write the function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit.

Answers

Answer 1

ah not sure but i hope u get the helpppppppppppppppppppppppppp God bless

Answer 2

The function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is A = 627(1.00875)^{4t} (in dollars)

How to calculate compound interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

For this case, we're given that:

Initial amount Jamie deposits = P = $627Rate of interest = 3.5% compounding quarterlyTime = t years

Rate of interest is compounding quarterly.

Each year has 4 quarters.

Rate of interest is usually annual rate of interest. Since compounding is done quarterly, let we express everything in quarter years.

Quarterly interest rate compounding quarterly = 3.5/4 = 0.875% = R%

t years has 4t quarters = T

Thus, we get the final amount in Jamie's account as

[tex]A = P\left(1 +\dfrac{R}{100}\right)^T\\\\A = 627 \left(1 +\dfrac{0.875}{100}\right)^{4t}\\\\A = 627(1.00875)^{4t} \: \rm \text{(in dollars)}[/tex]

Thus, the function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is [tex]A = 627(1.00875)^{4t}[/tex] (in dollars)

Learn more about compound interest here:

https://brainly.com/question/11897800

Related Questions

In rhombus ABCD shown below, AB=17 and AC=16 determine the length of BD without (hint , not with trigonometry)

Answers

Answer:

[tex]BD = 30[/tex]

Step-by-step explanation:

Given

[tex]AB = 17[/tex]

[tex]AC = 16[/tex]

See attachment

Required

Find BD

If AC = 16, then:

[tex]AO = 16/2[/tex] i.e. half the diagonal AC

[tex]AO = 8[/tex]

The diagonals of a rhombus are perpendicular.

This implies that we can apply Pythagoras theorem.

Using Pythagoras theorem on triangle AOB, we have:

[tex]AB^2 = AO^2 + OB^2[/tex]

[tex]17^2 = 8^2 + OB^2[/tex]

[tex]289 = 64 + OB^2[/tex]

Collect like terms

[tex]OB^2 = 289 - 64[/tex]

[tex]OB^2 = 225[/tex]

Take positive square roots of both sides

[tex]OB = 15[/tex]

To solve for BD, we use:

[tex]OB = \frac{BD}{2}[/tex] --- i.e. half the diagonal BD

[tex]BD = 2 * OB[/tex]

[tex]BD = 2 * 15[/tex]

[tex]BD = 30[/tex]

I'll give brain to who gets this right.

Answers

Answer:

parallel

Step-by-step explanation:

I dont know lol

4/5 divided by 1/3 =

hurry up gamers

Answers

Answer:

2 2/5 or 12/5

Step-by-step explanation:

Decimal form: 2.4

Improper fraction: 12/5

Mixed Fraction/Simplified: 2 2/5

Answer:

12/5 or 2 2/5

Step-by-step explanation:

what is the CORRECT answer?

Answers

Answer:

bro use the dang fromula

Step-by-step explanation:

L*W=A divided by 2

PLEASE HURRY, ME AND MY FRIEND NEED HELP WITH THIS QUESTION
Terri has a balance of $795 on his credit card. He is currently making monthly credit card payments of $20 a month. What will happen if he increases the amount he is paying by $18 a month?
A. It will take him less time to repay the loan
B. The interest rate will increase
C. It will take him longer to repay the loan
D. The interest rate will decrease

Answers

Answer: A

Step-by-step explanation:

If he increases the amount then the less time it will take to pay the loan

Andrew has a round trampoline with a diameter of 4 yards. What is the circumference of the trampoline?

Answers

You would use this formula for the problem...

(C=2πr) The circumference equals 2 multiplied by pi and radius.

In this problem it says diameter, but the diameter is just twice the length of the radius, so just multiply the radius by 2. Plugin your number.

C=2π(2) since 2 is half of 4, that's your radius.

Your answer is roughly C= 12.57.

You're welcome.

Which of the following are identities? Check all that apply.

Answers

Answer: The correct identities are: 1 + tan^2x = sec^2x 1 + cot^2x = csc^2x sin^2x + cos^2x = 1 which correspond to B and D

Step-by-step explanation:

T////T

im ok at math if its wrong im sorry T^T

Answer:

A, B, C, and D.

Yeah, I bet you didn't see this one coming.

Hope this helps!

2 and 1/2 divided by 3/8 as a fraction

Answers

Answer:

6 and 2/8 or reduced to 6 and 1/4

Step-by-step explanation:

Sooo....

solve 3x + 3/5 equal or > 4/5.

yeah if u dont understand i dont blame ya.

Answers

The answer would be x equal or greater than 1/15

1/5 could be replaced with 0.06

For positive acute angles AA and B,B, it is known that \cos A=\frac{24}{25}cosA= 25 24 and \sin B=\frac{11}{61}.SinB= 61 11 . Find the value of \sin(A+B)sin(A+B) in simplest form.

Answers

Answer:

684/1525

Step-by-step explanation:

Given

cosA = 24/25

SinB = 11/61

Sin(A+B) = SinAcosB + CosAsinB

Get SinA

Since

Cos A = adj/hyp

adj = 24

hyp = 25

opp² = 25² - 24²

opp² = 625 - 576

opp² = 49

opp = √49

opp = 7

sinA = opp/hyp

sinA = 7/25

Also if SinB = 11/61

opposite = 11

Hypotenuse = 61

adj² = 61² - 11²

adj² = 3,721 - 121

adj² = 3600

adj = √3600

adj = 60

Cos B = adj/hyp

CosB = 60/61

Sin(A+B) = SinAcosB + CosAsinB

Sin(A+B) = 7/25(60/61) + 24/25(11/61)

Sin(A+B) = 420/1,525 + 264/1,525

Sin(A+B) = 684/1525

A rectangle has a length that is three more than twice it’s width. Which equation correctly models it’s area

Answers

Answer:

Solution given:

width =w

length =3w

now we have

area of rectangle =length ×width=3w×w=3w² is a required expression.

Step-by-step explanation:

hope it is helpful to you

what is the area of the triangle in square inches?

Answers

Answer:

22in.^2

Step-by-step explanation:

Area of a triangle formula is A= b*h* 1/2

(b= base h= height)

the base is 8

the height is 5 1/2

8*5 1/2

----------

5 1/2 = 5.5

8* 5.5 = 44

44/2 = 22

Calculate the surface area of a 9' by 8' by 11' rectangular prism. Just enter the number, not the unit.
PLEASE HELP!

Answers

Answer:

518

Step-by-step explanation:

LxWxH

9*8*11

518

What is volume? USE YOUR WORDS NOT G00GLE"S. (if answer is in a folder or link please dont answer) thank uu

Answers

Answer:

Typically, volume is used to measure the capacity of a container/bottle/etc. It is used alongside measurements for liquids, like mL or L.

Step-by-step explanation:

calculate the difference between the two times.
8: 15 am. or pm

3: 30 am or pm.

Answers

Answer:

5:15 pm is the answer for the question

Which of the following statements is NOT true?
A. -4 divided by 7 is a negative number
B. -4/-7 = 4/7
C. -2 (-3+0.5) = (-2) (-3) + (-2) (0.5)
D. (-2) (1/3) (-4) is a negative number

Answers

The answer is D. The answers equals out to be positive, therefore, is false.

1/5 x 5 1/2 =

Can someone help me ?

Answers

Answer:

1/2

Step-by-step explanation:

reduce the numbers with the greatest common factor 5

1/5×5 1/2

1/2

Answer:

this is the answer hope it helps

10x— 9y = 10
8x+9y=10

Answers

Answer:

x=10/9

y=10/81

Step-by-step explanation:

help me please thank you

Answers

Answer:A

Step-by-step explanation:

If a pound of ham costs $5.25, what is the approximate cost of 7
ounces?
A. $2.30
B. $36.75
C. $5.25
O D.
D. $2.63

Answers

The answer is B.$36.75

I need helppppp :(((

Answers

The answer is 111 square units. You do this by using the formula

111 square units hope this helped but all you have to do is use the formula for A

solve for x: 2x-y=3 if you can show work thanks.

Answers

Answer:

x = 3/2 + y/2

Step-by-step explanation:

X=3+y/2 hope that may be the answer

A community center rents thier hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50. Lin has $300 to spend on renting the hall for a fundraiser white and solve an inequality that represents this situation

Answers

Answer

[tex]300 \geqslant 22.5x + 200[/tex]

Step-by-step explanation:

300 is less than or equal to 22.5x + 200

the budget is 300 so you can't go past that number. the appropriate inequality sign for this would be less than or equal to the following equation: $22.5 x (where x= number of hours) + the fixed fee of $200

don't include $ (or other units of measurements) in equations!!

Someone, Please help asap! :)

Answers

The answer is D I believe

QUICKK The Johnson family went to a socially distance movie and paid $30 for two adults and two children the modern family went to the same movie and paid 35 for two adults and three children what was the price of an adult ticket

Answers

Answer: adults = $10

Step-by-step explanation:

x = adults

y = children

2x + 2y = 30

2x + 3y = 35

Using the elimination method:

2x + 2y = 30

-2x - 3y = -35 (multiplied by -1, to give 2x -2x = 0)

Solve for y...

2y = 30

-3y = -35

Add together...

-y = -5

Multiply by -1 to give positive value for y...

y = $5

Plug into one of the original equation to find x...

2x + 10 = 30

2x = 20

x = $10

2.
Abus drove 70 miles in 2 hours. What is the unit rate?
d
b
70 miles
35 miles
140 miles
140 miles
1 hour
2 hours
1 hour
4 hours
No

Answers

Answer:

The unit rate is 35 miles per hour

Step-by-step explanation:

Can someone please tell me what the mean median mode and range is for 92, 63, 22, 80, 63, 71, 44, 35 please?

Answers

mean- 58.75
median- 63
mode-63
range-70

Answer:

answer is 63

Step-by-step explanation:

Please help me with this question

Answers

Answer:

B) 61° + 24° =

Step-by-step explanation:

please helpp i wil give 10 pointss

Answers

Answer:

x= 17

y= 8

QPR= 35

QRP= 60

Step-by-step explanation:

verify the following identity: sinx+cosx×cotx=cscx

Answers

Left Hand Side :
sin
x
+
cos
x
cot
x
We know that
cot
x
=
cos
x
sin
x
Therefore
sin
x
+
cos
x
cot
x
=
sin
x
+
cos
x
⋅
(
cos
x
sin
x
)
=
sin
x
+
cos
2
x
sin
x
=
sin
2
x
+
cos
2
x
sin
x
(We know the Trigonometric Identity
sin
2
x
+
cos
2
x
=
1
)
=
1
sin
x
=
csc
x
(Because Cosecant is the reciprocal of Sine)
Hence Proved.

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