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tia_tia [17]
2 years ago
9

Linear Pairs and Vertical Angles

Mathematics
1 answer:
goblinko [34]2 years ago
3 0

Answer:

angles 1 and 3 are 29 degrees

angles 2 and 4 are 151 degrees

Step-by-step explanation:

make angles 1 and 3 equal echo there and solve for x

use x to find the angle

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Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They
MariettaO [177]

The question is incomplete. The complete question is :

Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Jaina $300 7% 3 Once a year Tomas $400 4% 3 Once a year. Which pair of equations would correctly calculate their compound interests?

Solution :

It is given that Jaina and Tomas wants to open an account by depositing a principal amount for a period of 3 years and wanted to calculate the amount they will have using the compound interest formula.

<u>So for Jiana</u> :

Principal, P = $300

Rate of interest, r = 7%

Time, t = 3

Compounded yearly

Therefore, using compound interest formula, we get

$A=P\left(1+\frac{r}{100}\right)^{t}$

   $=300\left(1+\frac{7}{100}\right)^{3}$

   $=300(1+0.07)^3$

<u>Now for Tomas </u>:

Principal, P = $400

Rate of interest, r = 4%

Time, t = 3

Compounded yearly

Therefore, using compound interest formula, we get

$A=P\left(1+\frac{r}{100}\right)^{t}$

   $=400\left(1+\frac{4}{100}\right)^{3}$

   $=400(1+0.04)^3$

Therefore, the pair of equations that would correctly calculate the compound interests for Jaina is $A=300(1+0.07)^3$ .

And the pair of equations that would correctly calculate the compound interests for Tomas is $A=400(1+0.04)^3$ .

8 0
2 years ago
Read 2 more answers
Suppose there are 500 units of energy available at the base of a pyramid of energy. How many units of that energy will the first
Ede4ka [16]

Answer:

With every other lever 10% of the energy with be transferred. In this case:  Primary Producers (500) 1) First- level consumer. (50)  2) Second-level consumer. (5) 3) Third- level consumer. (0.5) Remember the formula is:(Primary Producer) __units X 10%= __500 units X 10%= 50

50 units of energy will be the first level consumers stored.  

5 units of energy will be the second level consumers stored.

Step-by-step explanation:

3 0
2 years ago
Which of the following systems of Inequalities would produce the region indicated on the graph below?
Fed [463]
The line rising to the right has equation y = x + 2
and the  other one has equation y =  -x + 4

the lines are solid so the inequalities will be <= or >=

in both case  the shading is below so the sign is <=

also x and Y values are both positive  
so the answer is choice  C

7 0
2 years ago
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Please help! The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the
Rama09 [41]

Answer:

perimeter = (18 +9π) cm

area = (81 -20.25π) cm^2

Step-by-step explanation:

The perimeter of the shaded area is the circumference of the circle added to two sides of the square. The circumference of the circle is π times the diameter, so the perimeter is ...

p = 2(9 cm) + π(9 cm) = (18 +9π) cm

___

The area of the shaded portion is the difference between the area of the square and the area of the circle. The area of the square is the square of the diameter. The area of the circle is π/4 times that value.

A = (9 cm^2) + (π/4)(9 cm^2) = (81 +20.25π) cm^2

_____

Comment on circle area

The formula you often see is ...

A = πr^2 . . . . r is the radius

since r = d/2, where d is the diameter, this can also be written as ...

A = π(d/2)^2 = (π/4)d^2

Here, the diameter of the circle is the same as the side length of its enclosing square, so the area of the circle is π/4 times the area of the enclosing square.

7 0
2 years ago
Yoki is running a 10-mile race. She runs at a steady speed and then slows down, stops to get a drink of water, and then runs fas
yawa3891 [41]

This is late, but for anyone searching the answer up in the future, the answer on Edg.enuity is the last one -  where the graph starts out as a horizontal line, then decreases and touches the x-axis, then increases again.

Good luck on your assignment !!

4 0
2 years ago
Read 2 more answers
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