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3 years ago

12

If the distance between two locations is actually 55 miles and the map scale is 1 inch = 40 miles, what is the distance between

the two locations on the map?
plz show work or explain

1 answer:

Aleks04 [339]3 years ago

7 0

Answer:

0.4 miles

On the map 1 inch is equal to 0.4 miles.

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A. 40
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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.

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The sports shop has 9 part-time employees and 21 full-time employees. What percentage of the employees at the sports shop work p

eduard

Answer:

30% of employees work part-time

Step-by-step explanation:

i just added 9 and 21 which is 30 and then i figured out that 9 is 30% of 30

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What is BC ?<br><br><br> Enter your answer in the box.

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Lines AB and AC are equal so you set up an equation like so...
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Formula for circumference

Licemer1 [7]

Answer:

pi x diameter

Step-by-step explanation:

To calculate the circumference of a circle, simply multiply pi (3.14) by the diameter (straight line passing from side to side through the center of the circle)

For instance, if you knew the diameter of a circle was 6 inches. Simply multiply 6 inches by pi!

6 x pi = ?

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If you only have the radius of the circle, simply multiply it by two to get your diameter. Remember, the radius is just half the length of the diameter.

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