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2 years ago

The length of the escalator is 36 ft and the

Mathematics

1 answer:

beks73 [17]2 years ago

8 0

Answer:

sin θ = 9 / 36 = 1/4

θ = 14.48 deg (ans C)

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Does anyone know how to turn these fractions into percents??? please help!!!

belka [17]

You divide the fractions to get percents

4 0

3 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

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

What is the product of z1 and z2 if

MaRussiya [10]

Answer:

308[cos(45) + isin(45)]

Step-by-step explanation:

z1×z2:

Modulus: r1 × r2

= 7×44 = 308

Argument: theta1 + theta2

= -70 + 115 = 45

z1z2 = 308[cos(45) + isin(45)]

z1z2 = 154sqrt(2) + (i)154sqrt(2)

sqrt: square root

8 0

3 years ago

A room that measures 18 feet by 12 feet needs new flooring. Tile flooring costs $1.60 per square foot. How much will it cost to

IrinaK [193]

Answer:

The answer is $345.60

Step-by-step explanation:

12 x 18 room = 216 square feet

216 x $1.60 = 345.60

It will cost you $345.60 to cover the room.

3 0

3 years ago

Read 2 more answers

Find the missing side length

worty [1.4K]

Option b 10.44 ...........

7 0

3 years ago