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iogann1982 [59]
3 years ago
10

If there are 36 inches in 1 yard, convert 82 inches to yards.

Mathematics
1 answer:
Lunna [17]3 years ago
3 0
82/36 = 2 10/36 = 2 5/18
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3 years ago
NO LINKS!! Jacob just won $32000 on the new game show, "The Wall,". He invested his winnings at an interest rate of 4.5%, compou
mixer [17]

Answers:

a) See the table below

b) The equation is y = 32000(1.01125)^x

c) $40,024.02

d) See the graph below

=========================================================

Explanations:

a)

Start with part (b) where I detail how to get the equation.

Once the equation is found, plug in x = 0 to get

y = 32000(1.01125)^x\\\\y = 32000(1.01125)^0\\\\y = 32000\\\\

Repeat for x = 1

y = 32000(1.01125)^x\\\\y = 32000(1.01125)^1\\\\y = 32360\\\\

Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.

-----------------------

b)

The template for any exponential equation is y = a(b)^x

a = starting amount = 32000

b = growth factor

The annual interest rate is 4.5%

We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125

We go from y = a(b)^x to y = 32000(1.01125)^x

-----------------------

c)

Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)

y = 32000(1.01125)^x\\\\y = 32000(1.01125)^{20}\\\\y \approx 32000(1.25075052084381)\\\\y \approx 40024.016667002\\\\y \approx 40024.02\\\\

The investment would be worth $40,024.02 after five years, aka twenty quarters.

-----------------------

d)

See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.

8 0
2 years ago
John drove 255 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 411 miles?
Inessa [10]

Answer:

19.6 gallons

Step-by-step explanation:

225/10=441/G

cross multiply

225G=10*441

225G=4410

G=4410/225

G=19.6 gallons of gas

5 0
3 years ago
Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°
marta [7]
The answer is 105 because 180-75=105
6 0
3 years ago
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