A mortgage has an initial balance of $150,000 and is charged 5% yearly interest applied monthly. If a person makes a payment of $1000 each month, which of the following is closest to the mortgage balance after 3 months of payments?
(1) $145,165
(2)$147,520
(3)$148,160
(4)$148,870

Answer:

1) 40 m; 2) 18 cm

Step-by-step explanation:

1) Length = 10 m

Breadth = 4 m

Perimeter of a rectangle

= length (l) × breadth (b)

= 10 × 4

= 40 m

2) Side 1 = 6 cm

Side 2 = 8 cm

Side 3 = 4 cm

Perimeter of a triangle

= Side 1 + Side 2 + Side 3

= 6 + 8 + 4

= 18 cm

_______

Hope it helps ⚜

Answer:

1. 28m

2. 18 cm

Step-by-step explanation:

Perimeter of rectangle = 2× (length + breadth )

=> 2 ( 10 + 4 )

=> 2 ( 14 )

=> 28 m

Perimeter of triangle = side a + side b + side c

=> 6cm + 8cm + 4cm

=> 18 cm

Reflecting the polygon FGHI across the line involves flipping the line across the line y = -1

The coordinates are given as:

F(2, – 1), G(5,2), H(8, 3), and I(6, 0)

The line of reflection is given as:

y = -1

To reflect the line, we apply the following rule of reflection

(x,y) [tex]\to[/tex]  (x,-y-2)

So, we have the following coordinates of the image

F' = (2, – 1)

G' = (5,-4)

H' = (8, -5)

I' = (6, -2)

See attachment for the image of the reflected polygon

Read more about reflection at:

https://brainly.com/question/4289712

Answer:

Step-by-step explanation:

Answer:

143

Step-by-step explanation:

supplementary angles add to 180

37+x=180

x=143

Answer:

12.57x² units²

Explanation:

area of circle: πr²                  ["r" denotes radius]

diameter: 2r

Given,

diameter: 4x

radius: 4x/2 = 2x

Area of circle:

πr²

π(2x)²

π(4x²)

4πx²

12.57x²

Answer:

4πx² square units

Step-by-step explanation:

Area of a circle

The formula uses the radius of the circle, but we have the diameter. Remember the relation :

Now, we can solve.

Answer: x = 29

Step-by-step explanation:

Complementary angle. 90-61=29. Basically finding what the number is shown from minus 90 since its complementary. :)

Answer:

The answer is 6y :)

Have an amazing day!!

Please rate and mark brainliest!!!

16:

4b(5b-3)-2(b²-7b-4)

= 20b²-12b-2b²+14b+8

=18b²+2b+8

18:

3m(3m+6)-3(m²+4m+1)

= 9m²+18m-3m²-12m-3

=6m²+6m-3

20:

4x(3x+2)-3x×2x

=12x²+8x-6x²

=6x²+8x

The expression  [tex]\rm log_{7} 98[/tex]  using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex].

A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.

It is given that [tex]\rm log_{7} 2[/tex] = 0.356

We can write [tex]\rm log_{7} 98[/tex] in terms of  [tex]\rm log_{7} 2[/tex]

[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]

In logarithm, the product will change in addition

[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]

= [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]

Hence, the expression  [tex]\rm log_{7} 98[/tex]  using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]

Learn more on logarithm here:

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Answer:

log7 2 + log7 49

log7 49= 2

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 9 \times { \pi}{} [/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 9\pi \dfrac{ }{} \: \: units[/tex]

or

[tex]\qquad \tt \dashrightarrow \: arc = 9 \times 3.14 = 28.26 \: \: units\dfrac{ }{} \: \: [/tex]

Arc length

Answer:

1,540

Step-by-step explanation:

length times width times height makes the volume

Hope this helps

BTW it's my birthday

Answer:

6 x 40 - 3 x 60

Step-by-step explanation:

sorry i cant answer rn but if you put the equation above into a calculator it should tell you!

hope this helps<3

Answer:

50

Step-by-step explanation:

3 × 10 to the 6 is 3,000,000
6 × 10 to the 4 is 60,000
3,000,000 ÷ 60,000 is 50

Answer:

1. The Dela Cruz family's water consumption for the month of June is 0000245 m³ land for the month of July, the reading is 0000280 m³. How much water was their water consumption for the month of July?

Answer: 35 cubic metre

________________________________

2. At P8.00 per cubic meter of water, how much was the basic bill for the period of August 2014 to September 2014 if the meter reading on September was 00001450 while the reading August was 00001480?

Answer: PHP 240

________________________________

3. The Duran family usually consumes 230 kwh monthly. They practiced conservation measures to save on the use of electricity. If the previous month's reading is 5680 and the present reading is 5950, what is the number of kwh used? Did they save electricity?

Answer: 270 kwh

________________________________

4.The previous reding of the water meter was 0000345 m. The present reading is 0000395 m³. How many cubic meters water was consumed?

Answer: 0000050 m³

________________________________

5.The previous reading of the electric meter was 2895 kwh and present reading is 3025 kwh. How many kilowatts of electricity was consumed?

Answer: 130

________________________________

Answer:

As Per Provided Information

We have to use π = 3.14

Diameter of baseball is 3 inch

So, Radius of Baseball will be

Radius = 3/2 inch

Radius = 1.5 inch

we have been asked to determine the surface area of given baseball .

Using Formulae

[tex] \boxed {\bf \: Surface \: Area_{(Baseball)} \: = 4 \pi {r}^{2} }[/tex]

substituting the value and let's solve it

[tex] \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = 4 \times 3.14 \times {1.5}^{2} \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 4 \times 3.14 \times 2.25 \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 12.56 \times 2.25 \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 28.26 \: {inch}^{2} [/tex]

Therefore,

So, your answer is 28.26 sq.in

Answer:

C because he has to interview every student in his class to collect data

Answer:

There isn't any data, maybe you could put the rest of the question in the comment area.

Answer:

A. y = 2x +3

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

324 square meters

Step-by-step explanation:

Hey there!

The surface area of a shape is the area of all the surfaces added up

The side surface area is 48 since 16 x 3 is 48. Since there are two side areas, we need to multiply 48 x 2 is 96

Now we need to do this for the other sides

the bottom and top areas are 96 square meters each so we multiply 96 by 2 which is 192

The front and back faces have an area of 18 square meters so we multiply 18 by 2 since there are two faces which are 36

Now we add all the values: 96+192+36 which is 324

So the surface area of the prism is 324 square meters

The cost of similar carpet in the client's bedroom is $225

Given Data

if 307.2 square feet of carpet will cost $576

the 120 square feet of carpet will cost $x

cross multiplying we have

x = 120*576/307.2

x = 69120/307.2

x = $225

Learn more about area of shapes here:

https://brainly.com/question/2607596

Answer:

178 and 2

Step-by-step explanation:

sum of supplementary angles are 180

so, x+ 89x = 180

=>               x+89x = 180

=>               90x = 180             [the transposing method]

=>                x = 180/90

=>                x = 2

now we have the value of one angle

as the other angle is 89 times x,

=>                89x

=>                89*2

=>                 178

now, we have the measure of both the angles which equals 180 degree

178 degree and 2 degree

Answer:

X=−8+3x

y=−5+x

Step-by-step explanation:

Approximately 2 gallons will be needed if each gallon of stain and  the project will cost be $73.96 if  each gallon costs $36.98

The formula for calculating the area of a triangle is expressed as:

A = 0.5bh

where

base = 15feet

height = 20feet

Area of the deck = 20 * 15 * 0.5

Area of the deck is  150 square feet

Number of gallons needed  = 350/150 = 2.3

Hence approximately 2 gallons will be needed if each gallon of stain covers a maximum of 350 square feet.

Cost of the two gallons  = 36.98 * 2

Cost of the two gallons  = $73.96

Hence the project will cost be $73.96 if  each gallon costs $36.98

Learn more on area of a triangle here: https://brainly.com/question/23945265

Answer: The answer is [tex](x+2)^2[/tex]

Step-by-step explanation:

Because  [tex](x+2)^2[/tex] means  [tex](x+2)(x+2)[/tex]

So we use the foil method to factor

First: [tex]x*x=x^2[/tex]

Outside: [tex]x*2=2x[/tex]

Inside: [tex]2*x=2x[/tex]

Last: [tex]2*2=4[/tex]

So we now write the following equation [tex]x^2+2x+2x+4[/tex]

Simplfied [tex]x^2+4x+4[/tex]

Answer:

A, D, E, F

Step-by-step explanation:

If you graph those four equations or plug in 0 as x, you would find that all of them are equal to -8

Answer:

31.25 %    or  5/16

Step-by-step explanation:

30 out of 96  chance

30/96 = 31.25%

Answer:The probability that a randomly chosen musician is a guitarist is 30/96.

Step-by-step explanation:

Answer: 80%

Step-by-step explanation:

or 85% but i think its 80%