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insens350 [35]
3 years ago
12

The corresponding sides of triangles ABC and DEF are congruent. Which statements are always true for triangles ABC and DEF ? Sel

ect all that apply.
Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
7 0
12+56 u
4678




Formation is explanation is 356
BARSIC [14]3 years ago
6 0
They will always have the same measurements and be added to 90 to get 180
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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
I need help plz, last question!
Akimi4 [234]

Answer:

13.125 ft^3

Step-by-step explanation:

1 1/2 × 3 1/2 × 2 1/2= 13.125 ft^3

7 0
3 years ago
Read 2 more answers
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