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likoan [24]
3 years ago
13

Sophie invested 5,000 into an account that will increase in value by 2.3% each year. Write a function to model this situation, t

hen find the value of the investment after 15 years
Mathematics
1 answer:
Zarrin [17]3 years ago
5 0

Answer:

$6725

Step-by-step explanation:

Given data

Princiapal= $5000

Rate=2.3%

Time= 15years

The function that will model this situation is given as

A=P(1+rt)

The above function is a simple interest function

Substitute our data we can find the amount A

A=5000(1+0.023*15)

A= 5000(1+0.345)

A=5000(1.345)

A=5000*1.345

A=$6725

Hence the value of the investment after 15 years is $6725

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What value of x is the solution to the equation −3/2x−3/4=−1/5 ?
Ray Of Light [21]

Answer:

\Longrightarrow: \boxed{\sf{x=-\dfrac{11}{30} }}

Step-by-step explanation:

Isolate the term of x from one side of the equation.

<h3>-3/2x-3/4=-1/5</h3>

<u>First, add by 3/4 from both sides.</u>

\sf{-\dfrac{3}{2}x-\dfrac{3}{4}+\dfrac{3}{4}=-\dfrac{1}{5}+\dfrac{3}{4} }

<u>Solve.</u>

⇒ = -3/2x=11/20

<u>Then, you multiply by 2 from both sides.</u>

2(-3/2x)=11*2/20

<u>Solve.</u>

11*2/20

11*2=22

22/20

<u>Common factor of 2.</u>

11/10

-3x=11/10

<u>Divide by -3 from both sides.</u>

\sf{\dfrac{-3x}{-3}=\dfrac{\dfrac{11}{10}}{-3}}

<u>Solve.</u>

\Longrightarrow:\boxed{\sf{x=-\dfrac{11}{30} }}

  • <u>Therefore, the correct answer is D. x=-11/30.</u>

I hope this helps! Let me know if you have any questions.

6 0
3 years ago
A cylinder has a volume of 3201 cubic inches and a height of 5 inches.
enot [183]

Answer:

r≈14.28in

h Height

5

in

V Volume

3201

in³

Using the formula

V=πr2h

Solving forr

r=V

πh=3201

π·5≈14.27522in

5 0
3 years ago
the area of a circle is 81 pi m^2. what is the circumference, in meters? express your answer in terms of pi.
mestny [16]
<h3>Answer:    18pi</h3>

============================================================

Explanation:

The area 81pi square meters leads to the radius 9 meters

Use the formula A = pi*r^2 to see why this is the case. You plug in A = 81pi and solve for r to get r = 9.

-----------------

Once you know the radius, you can determine the circumference C

C = 2*pi*r

C = 2*pi*9

C = 2*9*pi

C = 18pi

The circumference is the perimeter, or distance, around the circle.

8 0
3 years ago
A bag has four green marbles, three red marbles, and three yellow marbles. What is the probability that you pick a red marble, d
Archy [21]
The probability is 1/9
5 0
4 years ago
Read 2 more answers
A 3650​-year-old wooden chest is found by archaeologists. What percentage of the original Superscript 14 Baseline Upper C would
AfilCa [17]

Answer:

64.5%

Step-by-step explanation:

Initial amount N° = ?

Remaining amount after decay = N = ?

k = decay constant =  0.00012 yr^{-1}

t = time = 3650​ year

fraction remaining will be N/N°

From the decay equation, N = N°e^{-kt}

N/N° = e^{-kt}

N/N° = e^{-0.00012 x 3650 }

N/N° = e^{-0.438}

N/N° = 0.645 = 64.5%

6 0
3 years ago
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