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Tamiku [17]
3 years ago
9

Kody made a deposit into an account that earns 4% annual compound interest. After 24 months, the value of his account was $2163.

20. What was the amount of Kodys initial deposit?
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Answer:

$1176.671

Step-by-step explanation:

You might be interested in
Which function has a simplified base of 4RootIndex 3 StartRoot 4 EndRoot? f(x) = 2(RootIndex 3 StartRoot 16 EndRoot) Superscript
PIT_PIT [208]

Answer:

  f(x)=4\sqrt[3]{16}^{2x}

Step-by-step explanation:

We believe you're wanting to find a function with an equivalent base of ...

  4\sqrt[3]{4}\approx 6.3496

The functions you're looking at seem to be ...

  f(x)=2\sqrt[3]{16}^x\approx 2\cdot2.5198^x\\\\f(x)=2\sqrt[3]{64}^x=2\cdot 4^x\\\\f(x)=4\sqrt[3]{16}^{2x}\approx 4\cdot 6.3496^x\ \leftarrow\text{ this one}\\\\f(x)=4\sqrt[3]{64}^{2x}=4\cdot 16^x

The third choice seems to be the one you're looking for.

9 0
3 years ago
Read 2 more answers
Colleen can run 2 miles in 15 minutes. If she keeps us the same pace, how many minutes will it take to run 5 miles?
irinina [24]

15minutes / 2miles = 7.5 minutes to run a single mile.

7.5minutes * 5miles = 37.5minutes

37.5minutes to run 5 miles

7 0
3 years ago
a rectangle has an area of x2+8x+15 square meters and a width of x+3 what expression represents the length of the rectangle
anzhelika [568]

Answer:

1x + 5

Step-by-step explanation:

Since the area of a rectangle of width w and length l is A = l*w,

length = Area / Width.

Here,                             x^2 + 8x + 15

length of rectangle  = ----------------------

                                            x + 3

Use synthetic division to perform the above.  The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).

-3      /  1        8        15

                    -3        -15

        -------------------------

            1         5        0

Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic.  This factor, representing the length of the rectangle, is 1x + 5.

Next time, kindly share the answer choices.  Thank you.

6 0
3 years ago
I need help plsss help
gavmur [86]

Answer: Circle = 5    Triangle = 2     Square = 6

Step-by-step explanation:  5 + 2 = 7          2 + 6 = 8              6+2 =8, 8 + 5 =13

4 0
3 years ago
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.
Vesna [10]

Answer:

b. an = 2 • (-3)^(n - 1)

Step-by-step explanation:

Before we test a solution or two, we can easily discard most of them.

We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign).  <u>That already excludes answers A and C.</u>

Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.

We can test both D and B with n = 2, to obtain -6

Let's test answer D before:

a_{2} = 2 * (-3)^{2+1} =  2 * (-3)^{3} = 2 * -27 = -54

The result is -54, not -6... so it's not the right result.

Let's test answer B then:

a_{2} = 2 * (-3)^{2-1} =  2 * (-3)^{1} = 2 * -3 = -6

Right!  Let's verify with n=5 to get 162:

a_{5} = 2 * (-3)^{5-1} =  2 * (-3)^{4} = 2 * 81 = 162

Confirmed, answer is B. an = 2 • (-3)^(n - 1)

3 0
3 years ago
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