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VMariaS [17]
2 years ago
5

adam invests $6,139 in an retirement account with a fixed annual interest rate compounded continuously. after 17 years the balan

ce reaches $8,624.97. what is the interest rate of the account ?
Mathematics
1 answer:
Digiron [165]2 years ago
8 0

2485.97 would be what he earned as an interest rate. The percentage would be6%

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For the sequence an = 2n + 1, identify the values of a0 = _____, a1 = _____, a2 = _____, and a3 = _____.
Tresset [83]

Answer:

Option A -  a_0= 2,a_1= 3,a_2= 5,a_3= 9

Step-by-step explanation:

Given : For the sequence a_n= 2^n + 1

To find : Identify the values of following?

Solution :

The nth term of the sequence is a_n= 2^n + 1

Substitute n=0,1,2 and 3

When n=0,

a_0= 2^0+ 1

a_0= 1+1

a_0=2

When n=1,

a_1= 2^1+ 1

a_1= 2+1

a_1=3

When n=2,

a_2= 2^2+ 1

a_2=4+1

a_2=5

When n=3,

a_3= 2^3+ 1

a_3= 8+ 1

a_3= 9

Therefore, The value is a_0= 2,a_1= 3,a_2= 5,a_3= 9

So, Option A is correct.

4 0
2 years ago
8th grade math fsa countdown answers
Liula [17]

https://jhmsmath.weebly.com/uploads/2/7/7/5/27756807/8th_grade_countdown.pdf go to this link page 52-54

6 0
2 years ago
Isa and Jack have part-time jobs.
enot [183]
By process of elimination and plugging in the math we can say that Jack earns 8.25 an hour by multiplying 2*8.25=16.50. Isa must then earn 9.50, therefore she earns a greater hourly pay then Jack as a result 
3 0
2 years ago
A point is dilated with respect to the origin. Determine the value of K and state whether the dilation is an expansion or contra
vlabodo [156]
Scale Factor (K) = (new length/measure)/ (original length/measure)
for x-coordinate  = 8/2 = 4
for y-coordinate  = 16/4 = 4

K=4, expansion

K is the representation of "scale factor". Scale factor is the ratio of the lengths involved of the similar figures. It can be used to identify the kind of dilation, whether it is contraction or expansion. If the Scale Factor is greater than 1, then that means expansion and if it is less than 1, then it signifies contraction.
5 0
2 years ago
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function , where t is time in months
horrorfan [7]

Answer:

B. A(r(t)) = 25πt²

Step-by-step explanation:

Find the completed question below

The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.

Given

A(t) = πr²

r(t) = 5t

We are to evaluate the composite expression A(r(t))

A(r(t)) = A(5t)

To get A(5t), we will replace r in A(t) with 5t and simplify as shown

A(5t) = π(5t)²

A(5t) = π(25t²)

A(5t) = 25πt²

A(r(t)) = 25πt²

Hence the composite expression A(r(t)) is 25πt²

Option B is correct.

5 0
2 years ago
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