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2 years ago

8

A person invests 8000 dollars in a bank. The bank pays 6.75% interest compounded quarterly. To the nearest tenth of a year, how

long must the person leave the money in the bank until it reaches 10500 dollars?

1 answer:

balu736 [363]2 years ago

7 0

Answer:

about 1.5 years i think

Step-by-step explanation:

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Find f(-2) for f(x) = 2(4)^x

stepladder [879]

Answer:

2(4)^-2

=2/4^2

2/16

1/8

thanks

3 0

2 years ago

Read 2 more answers

Ill give brainliest i really need help on this

Sever21 [200]

I think the answer is

B.

8 0

2 years ago

Air containing 0.04% carbon dioxide is pumped into a room whose volume is 6000 ft3. The air is pumped in at a rate of 2000 ft3/m

borishaifa [10]

Answer:

the concentration at 10 minutes= 0.4+0.0133= 0.4133%

Step-by-step explanation:

Air containing 0.04% carbon dioxide

V, volume of room is 6000 ft3.

Q, rate of air 2000 ft3/min,

initial concentration of 0.4% carbon dioxide,

determine the subsequent amount in the room at any time.

What is the concentration at 10 minutes?

firstly, we find the time taken for air to completely filled the room

Q = V/t

t = V/Q = 6000/2000 = 3min

so, its take 3mins for air to be completely filled in the room and for exhaust air to move out.

there is an initial concentration of 0.4% carbon dioxide, and the air pump in is 0.04%.

therefore,

3mins = 0.04% of CO2

3*60 =180sec = 0.04%

1sec = 0.04/180 = 0.00022%/sec

so at any time the concentration of CO2 is 0.4 + 0.00022 =0.40022%/sec

What is the concentration at 10 minute

the concentration at 10minutes = the concentration for 1minute because at every minutes, the concentration moves in is moves out. = concentration for 2000ft3.

for 0.04% = 6000ft3

? = 2000ft3

= 2000* 0.04)/6000 =0.0133%

the concentration at 10 minutes= 0.4+0.0133= 0.4133%

4 0

3 years ago

Which theorem or postulate proves that △ABC and △DEF are similar?

yan [13]

Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

Step-by-step explanation:

Definition of SAS Similarity property

Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .

In △ABC and △DEF

$\frac{ED}{AB}= \frac{7}{21}$

$\frac{ED}{AB}= \frac{1}{3}$

and

$\frac{EF}{BC}= \frac{11}{33}$

$\frac{EF}{BC}= \frac{1}{3}$

Thus

$\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}$

∠ABC = ∠DEF (As given in the figure )

Thus △ABC and △DEF are similar by SAS Similarity property .

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2 years ago

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Solve 2(b − 3) ≥ 3(3 − b) and describe the graph of the solution. Show all your work.

solong [7]

Answer:

$\large\boxed{b\geq3\to b\in[3,\ \infty)}$

Step-by-step explanation:

$2(b-3)\geq3(3-b)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\(2)(b)+(2)(-3)\geq(3)(3)+(3)(-b)\\\\2b-6\geq9-3b\qquad\text{add 6 to both sides}\\\\2b-6+6\geq9+6-3b\\\\2b\geq15-3b\qquad\text{add}\ 3b\ \text{to both sides}\\\\2b+3b\geq15-3b+3b\\\\5b\geq15\qquad\text{divide both sides by 5}\\\\\dfrac{5b}{5}\geq\dfrac{15}{5}\\\\b\geq3$

$,\ \geq-\text{line to the right}\\-\text{o}\text{pen circle}\\\leq,\ \geq-\text{closed circle}$

4 0

2 years ago