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3 years ago

Find the next number in the number sequence 1 2 4 8 16

Mathematics

1 answer:

Trava [24]3 years ago

4 0

32 because each number was multiplied by 2

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

Rudik [331]

Answer:

Part A) $\$42,888.48$

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

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

$A=8,500(1.0068)^{240}$

$A=\$42,888.48$

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.

5 0

3 years ago

Evaluate the expression for b = -6. 3b =

ch4aika [34]

Answer:

-18

Step-by-step explanation:

Hope that helps

You do 3(-6) to get neg 18

6 0

2 years ago

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Photo is below; Giving brainliest a.135 in^2 b.286 in^2 c.537 in^2 d.201 in^2

jeka57 [31]

Answer:

EZ is c.537in^2

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3 years ago

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Gordan's front lawn measures 2,655 square feet. It takes him 9 minutes to mow it on his riding lawn mower. How many square feet

zlopas [31]

It would be 295 square feet.

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3 years ago

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What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope interce

Vedmedyk [2.9K]

Answer:

y = -5x - 23

Step-by-step explanation:

Point-slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

4 0

2 years ago