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3 years ago

5

Can someone please explain this for me, thank you.

1 answer:

r-ruslan [8.4K]3 years ago

7 0

just divide Atlantic/Mississippi

$\frac{3.1 \times {10}^{17} }{6.3 \times {10}^{11} } = \frac{3.1}{6.3} \times \frac{ {10}^{17} }{ {10}^{11} } \\ = 0.492 \times {10}^{17 - 11} \\ = 0.492 \times {10}^{6} \\ = 4.92 \times {10}^{5}$

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Given the graph below state whether or not the relation is a function, and give the domain and

Svetllana [295]

Answer:

NOT a function
domain: [-2, 2]
range: [-4, 4]

Step-by-step explanation:

A vertical line intersects the graph twice, so the relation is not a function. It is only allowed to intersect once if the relation is a function.

The domain is the horizontal extent, which is from -2 to +2.

The range is the vertical extent, which is -4 to +4.

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4 years ago

1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a

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Answer:

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Part B) $A=\$22,304$

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12$

substitute in the formula above

$A=8,500(1+\frac{0.0812}{12})^{12*20}$

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$A=\$42,888.48$

Part B) What if the deposit were compounded monthly with simple interest?

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=20\ years\\ P=\$8,500\\r=0.0812$

substitute in the formula above

$A=8,500(1+0.0812*20)$

$A=\$22,304$

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

$A(t)=8,500(1.0068)^{12t}$ ------> equation A

$A(t)=8,500(1+0.0812t)$ -----> equation B

using a graphing tool

see the attached figure

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

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Nina's truck holds more, because Brent's pick-up holds 1/5 a ton, and a ton is 2000 pounds, so 2000 x 1/5 is 400, and is less than Nina's truck.

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