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Marizza181 [45]
3 years ago
9

Martina opens a savings account with an initial deposit and makes no other deposits or withdrawals. She earns interest on her in

itial deposit. The total amount of money in her savings account at the end of each year is represented by the sequence shown.
100, 105, 110.25, ...
Which recursive formula can be used to determine the total amount of money earned in any year based on the amount earned in the previous year?

f(n + 1) = f(n) + 5
f(n + 1) = 5f(n)
f(n + 1) = 1.05f(n)
f(n + 1) = 0.05f(n)
Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

C

Step-by-step explanation:

Took The Test.

:)

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Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at ran
ICE Princess25 [194]

Answer:

its in order from 2 to 3

Step-by-step explanation:

6 0
3 years ago
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
zalisa [80]

Answer: 272

Step-by-step explanation:

Let a1=11

a2=20

a3=29

Formula for sequence=

an=a1+(n-1)d

an = nth term

a1= first term

n= nth position

d= common difference

We are looking for the 30th term,so our n=30

d= a2-a1

d= 20-11

d= 9

Using the formula

an= a1+(n-1)d

a30= 11+(30-1)9

a30= 11+(29)9

a30= 11+(29×9)

a30= 11+261

a30= 272

Therefore, the 30th term is 272

8 0
3 years ago
.21 of what number is 7.98
AlladinOne [14]
.21 as a percentage is 21%
You can divide 7.98 by 21 then multiply by 100 which gives you an answer of 38.

Hope this helps :)
8 0
3 years ago
Mr. Erickson will be living in the forest
aliina [53]

<em />\huge{\boxed{60\ \text{ft}^{3}}}<em />

<em>We will assume the tent is in the shape of a triangular prism.</em>

The volume of a triangular prism can be found with the following formula, where b is the width at the base, h is the height, and l is the length.

V=\frac{1}{2}bhl

Substitute in the known values.

V=\frac{1}{2}*5*3*8

Simplify — use multiplication.

V=\frac{5}{2}*3*8

V=\frac{15}{2}*8

V=\frac{120}{2}

Simplify — use division.

V=\large{\boxed{60\ \text{ft}^{3}}}

The volume — or in this case, the amount of living space — is 60\ \text{cubic feet}.

7 0
3 years ago
Expand the given power by using Pascal’s triangle. (9a - 10b)^6
xxMikexx [17]

Answer:

531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

Step-by-step explanation:

                     1                                n=0

                  1      1                            n=1

                 1   2   1                           n=2

                1  3  3  1                          n=3

              1  4  6  4   1                      n=4

             1  5 10 10 5  1                    n=5

           1 6 15 20 15 6 1                   n=6

This is where n is the exponent in

(x+y)^n.

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

Now we want to expand:

(9a-10b)^6 or we we can rewrite as (9a+(-10b))^6.

Let's replace x with (9a) and y with (-10b) in the expansion:

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

((9a)+(-10b))^6

=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6

Let's simplify a bit:

=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6

=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

8 0
3 years ago
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