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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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Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag
notka56 [123]
We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem. 

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h  + 2*w*h
SA = 2*27*14  +  2*27*22   +  2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.


 \frac{SA}{V} =  \frac{2*L*W  + 2*L*H + 2*W*H}{L*W*H} 

Another way to do this is to consider a cube which might give you a more useful result. 

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

\frac{SA_cube}{V_cube} =  \frac{6s*s}{s*s*s}
\frac{SA}{V} =  \frac{6}{s}

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.


4 0
3 years ago
NEED HELP ASAP PLS DUE TODAY !!!
S_A_V [24]

Answer:

with what do you need help? if you took a picture i cant see it at all

Step-by-step explanation:

6 0
3 years ago
2.) 4x + 8.2 ≤ 32.2 *<br><br> A. x ≤ 60<br> B. x ≥ 6<br> C. x ≥ 60<br> D. x ≤ 6
Inga [223]

Answer:

D

Step-by-step explanation:

Given

4x + 8.2 ≤ 32.2 ( subtract 8.2 from both sides )

4x ≤ 24 ( divide both sides by 4 )

x ≤ 6 → D

6 0
3 years ago
Read 2 more answers
4) A zoologist was checking the weights of three gorillas. Gorilla A weighed 559 pounds, gorilla B weighed 827 pounds and gorill
miss Akunina [59]

Answer:

1,516 pounds

Step-by-step explanation:

Gorilla A weighed = 559 pounds Gorilla B weighed = 827 pounds Gorilla C weighed = 130 pounds

Total weight of the gorillas = gorilla A + gorilla B + gorilla C

= 559 pounds + 827 pounds + 130 pounds

= 1,516 pounds

Total weight of the gorillas = 1,516 pounds

6 0
3 years ago
Which equation could be used to solve this problem? The sum of two consecutive integers is 141. Find the integers. A. n + 1= 141
Kamila [148]
D. works because if you work it out that means 2n=140 and then divide by 2 which means n=70 and the other number is 71
7 0
3 years ago
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