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Phoenix [80]
3 years ago
15

Nancy had an income of $26,500 this year. If the inflation rate was 11 percent, what was her purchasing power?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0
.89($26,500)=$23,585. we are using .89 because that is what 1-.11 equals.
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Find the first five terms of the recursive sequence <br> an=-6an-1 where a1=4.5
grandymaker [24]

Answer:

4.5, -27, 162,-972, 5832

Step-by-step explanation:

The given recursive definition is,

a_n=-6a_{n-1}, a_1=4.5

This will form a geometric sequence with first term 4.5 and common ratio r=-6.

When n=2, we have:

a_2=-6a_1 \\  \implies \: a_2=-6 \times 4.5 =  - 27

When n=3, we get:

a_3=-6a_2 \\  \implies \: a_3=-6 \times  - 27 =  162

When n=4, we get:

a_4=-6a_3 \\  \implies \: a_4=-6 \times 162 =  - 972

When n=5, we get:

a_5=-6a_4 \\  \implies \: a_5=-6 \times  - 972 = 5832

Therefore the first five terms are:

4.5, -27, 162,-972, 5832

3 0
3 years ago
Pls help I’ll brainlest ASAP
Dmitry_Shevchenko [17]
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4 0
2 years ago
Can someone help me with math?
Paladinen [302]

Answer:

The second step because she distributed within the parentheses without adding the negative sign to 13

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2 years ago
Solve the system by adding. Drag and drop numbers into the coordinates to complete the ordered pair.
Mademuasel [1]

Answer:

(-3,5)

Step-by-step explanation:

4x + 3y = 3

x − 3y = −18

Solve by addition/Elimination

x = -3

y = 5

So,

The solution of the system is (-3,5).

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8 0
2 years ago
Read 2 more answers
Thor invests $3000 in an account, with interest compounded continuously. If his investment doubles in value after 7.2 years, wha
sladkih [1.3K]

Answer:

B.  9.6 %.

Step-by-step explanation:

A = P e^rt

His investment doubles so it comes to  3000 * 2 = $6000.

Substituting in the formula>

6000 = 3000e^7.2r   ehere r  is the interest rate.

e^7.2r = 2

Taking logs

7.2r = ln 2

r = ln2 / 7.2

r = 0.096

So the rate is 9.6%.

8 0
2 years ago
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