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Elena-2011 [213]
3 years ago
7

The equation A= 1750(1.04)^t represents an account balance t years after the account was created. Which statement is correct?

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

<u>The correct statement is D. The account balance will increase 4% each year.</u>

Correct statement and question:

The equation A = 1750(1.04)^t represents an account balance t years after the  account was created.

Which statement is correct?

A. The account balance will decrease 0.04% each year.

B. The account balance will increase 0.04% each year.

C. The account balance will decrease 4% each year.

D. The account balance will increase 4% each year.

Source:

Tennessee Comprehensive  Assessment Program  - Algebra I Practice Test

Step-by-step explanation:

Let's recall that 1.04 is the result of adding:

1 + 0.04 and, we can also write 0.04 as 4/100 or 4%,

in consequence,

1.04 = 1 + 4%, where we're increasing an additional 4%.

<u>The correct statement is D. The account balance will increase 4% each year.</u>

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6 0
2 years ago
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Which ordered pair is a solution to the system of linear equations Negative 4 x + y = 8 and x minus 5 y = 17? (–4, –3) (–4, 3) (
Salsk061 [2.6K]

Answer:

(–3, –4)

Step-by-step explanation:

Given pair of linear equation

-4x+y = 8    

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x - 5y = 17  (2)

substituting value of y from equation 1 in equation 2 we have

x - 5(8 + 4x) = 17

=> x - 5*8 -5*4x = 17

=> x - 40 - 20x = 17

=> -40 - 19x = 17

=> -19x = 17+40 = 57

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Would appreciate some help with this:<br><br> Verify (sinq+cosq)^2 - 1 = sin2q
Phantasy [73]

Hello from MrBillDoesMath!

Answer:

See Discussion below

Discussion:

(sinq + cosq)^2 =                                     => (a +b)^2 = a^2 + 2ab + b^2

(sinq)^2 + (cosq)^2 + 2 sinq* cosq        => as (sinx)^2 + (cosx)^2 = 1

1 + 2 sinq*cosq              (*)


Setting a = b = q in the trig identity:

sin(a+b) = sina*cosb + cosa*sinb                      

sin(2q) =                      (**)

sinq*cosq + cosq*sinq      => as both terms are identical

2 sinq*cosq


Combining (*) and (**)

(sinq + cosq)^2 = 1 + 2sinq*cosq     => (**) 2sinq*cosq =  sqin(2q)

                          = 1 +  sin(2q)

Hence

(sinq + cosq)^2  = 1 +  sin(2q)            => subtracting 1 from both sides

(sinq + cosq)^2  - 1 =   sin(2q)  

The last statement is what we are trying to prove.



Thank you,

MrB

7 0
3 years ago
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