determine the amount of an investment if $500 is invested at an interest rate of 4.25% compounded quarterly for 12 years

Answer:

Yes

(-4,-2) is a solution of a given system of equation

Step-by-step explanation:

Explanation:-

Given that the equation

                y = 2 x + 6 ..(i)

Given point (-4,-2)

substitute   x =-4 and y = -2 in equation (i)

             -2 =2(-4) +6

            -2  = -8+6

           -2 =-2

∴ The point satisfies the given equation

Answer:

Area = 20.28 cm^2

Perimeter = 16.28 cm

Step-by-step explanation:

The figure is composed of a half circle and a rectangle,

The circle has a diameter of 7 - 2 - 1 = 4cm and the rectangle is of side 2 cm and 7 cm.

Therefore the area is :

Area = A rectangle + Acircle/2 = 2*7 + pi*r^2/2 = 20.28 cm^2

The perimeter is :

Perimiter = 1 + 2 + 7 + Pcircle/2 = 1 + 2 + 7 + 2*pi*r/2 = 16.28 cm

Answer:

Step-by-step explanation:

plug the numbers in and see if it is true

x=3, y=8

y=7x+8

8=7(3)+8

8=29

is not true, so it is not a solution. even if it might be a solution for the other equation, it is not true for this equation so it is not a solution for this system

how to find an equation: since y=7x+8 and y=x+1, then

7x+8=y, and y=x+1

7x+8=y=y=x+1

7x+8=x+1

6x+8=1

6x=-7

x=-7/6

y=x+1

y=-1/6

solution: (-1 1/6, -1/6)

tfyhgbuhbj tctf ybubbimihbighv no

Step-by-step explanation:

tdcvyvj j ct ruv yo bb. v

Answer:

16 2x3 divided by 2 x4=12 + 2x2=16 I think hopefully this helps :)

Step-by-step explanation:

use the midpoint formula

-3+-7/2, 8+-6/2

(-5, 1)

Answer:

im pretty sure its 25

Step-by-step explanation:

Answer:

25.00

Step-by-step explanation:

I got it correct.

Answer:

$30.00 fee

$45.00=total bill

$0.10 per minute of usage

x = minutes used

$30.00 + 0.10 per minute = $45.00

$30.00+$0.10(x) = $45.00

$0.10(x) = $45.00-$30.00 = $15.00

x = $15.00/$0.10 = 150 minutes used

The domain is (-infinity,1)(1, infinity) or {x|X=/1} the dash goes through the equal sign

the formula may be h^2x h squared x for expanding using sum/difference

Answer:

Step-by-step explanation:

Do this step by step.

Let the number = x

1/3 of a number = 1/3 x

Added to itself 1/3x + x

=

3*(x - 7)

So the equation is

1/3x  + x = 3(x - 7)            Remove the brackets. Collect 1/3x and x

4/3 x = 3x - 21                 Multiply both sides by 3.

4x = 3*(3x - 21)                Remove the brackets again

4x = 9x - 63                    Subtract 9x from both sides

-5x = -63                         Divide by -5

x = -63/-5

x = 12.6

The younger sister is 10 years old and the elder sister is 15 years old.

Let's represent the present ages of the two sisters as x and y, where x is the age of the elder sister and y is the age of the younger sister.

According to the given information, the product of their present ages is 150:

x * y = 150 ---(1)

It is also stated that 5 years ago, the elder sister was twice as old as her younger sister:

x - 5 = 2 * (y - 5) ---(2)

We can now solve these two equations simultaneously to find the ages of the two sisters.

From equation (2), we can simplify:

x - 5 = 2y - 10

x = 2y - 10 + 5

x = 2y - 5

Substituting this value of x into equation (1), we have:

(2y - 5) * y = 150

2y^2 - 5y = 150

2y^2 - 5y - 150 = 0

Now we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. By factoring, we find:

(2y + 15)(y - 10) = 0

This gives us two possible solutions for y:

2y + 15 = 0 --> y = -7.5 (Discard this since age cannot be negative)

y - 10 = 0 --> y = 10

So, the younger sister is 10 years old.

To find the elder sister's age, we can substitute this value of y into equation (2):

x = 2y - 5

x = 2 * 10 - 5

x = 20 - 5

x = 15

Therefore, the elder sister is 15 years old.

for such more question on ages

https://brainly.com/question/9142477

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Answer:

θ=2πn1  + arcsin(24/25), n1  ∈ Z or θ=2πn2 +π−arcsin(24/25) , n2  ∈ Z

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

sin A = 24 / 25

as we know that :

sin ² A + cos ²A = 1

cos ²A = 1 - sin²A

cos ²A = 1 - ( 24/25) ²

cos² A = 1 - 576 / 625

cos ²A =. 625 - 576 / 625

cos ² A. =. 49 / 625

cos A =. √ 49/ 625

cos A = 7 / 25

plz mark my answer as brainlist plzzz .

I hope you will find it useful .

plz it took a really great effort .

Answer:

plz mark me as brainiest

Step-by-step explanation:

10-6=4

10+6 =16

4 >x>16.

Answer:

= 15/4

Step-by-step explanation:

Answer:

1 square unit

Step-by-step explanation:

its easy

1 * 1 = 1

Answer:

La mediana es 79 la moda es 87 la media 87 y él rango es 26

Step-by-step explanation:

Espero te ayude ;)

The mode, median and the range are 87, 79 and 26 respectively

Given the data 84,91, 72,68,87, 78,65,87,79., we are to get the median, mode, and range of the data.

The median is the number in the middle after arrangement. On arranging, we will have:

65, 68, 72, 78), 79, (84, 87, 87, 91

Range  = Highest - lowest

Range = 91 - 65

Range = 26

Learn more on measure of central tendency here: https://brainly.com/question/17726154

Answer:

24

Step-by-step explanation:

18 is 75% of 24.

Answer:

You are correct it is A. cos B

Step-by-step explanation:

Answer:

25.12

Step-by-step explanation:

πr^2

π4^2 = ~50.27

~50.27/2 = ~25.12

Answer:

Unit rate = 50m/h

Step-by-step explanation:

Distance = 25 (x2) = 50                     ( basically make the den 1 and wht

Time = 1/2 hr (x2) = 1hr                      u do to den do to num)

Unit rate = 50m/h

Answer:

1. 1,446 trees 16,856 square miles

2. 99.99% 16,856 students were passed

3. 58,300,000 early voters in 2016 202.5% to 2020

4. 459 sandwiches swith to 500 sandwishes 76 turkeys to 80 turkeys is 580.80% turkeys

5. 1/5 to 5 to 1 to 1:5 right? please dont report me

Answer:

22.5 feet

Step-by-step explanation:

The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.

Since

A 26-foot-long ladder is leaning against a building at a 60 degree angle with the ground.

We know that

sin θ = Perpendicular/Hypotenuse.

So

here we assume p be the Perpendicular

So,

sin60 = p/26.

p = 26*sin60.

p = 22.5

hence, The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.

Learn more about height here; https://brainly.com/question/21005254

Answer:

42 sweets

Step-by-step explanation:

28 / 2 = 14 x 3 = 42

Hope that helps!

Answer:

c

Step-by-step explanation:

Answer:

D

Step by step explanation

Use synthetic division to solve. Final ending answer is [tex]3x^{2} +4x-9+\frac{8}{(x+1)}[/tex]

Answer:

12(m +1) > 18m - 3

12m + 12 > 18m - 3

12+3 > 18m - 12m

15 > 6 m.

m < 15/6

m < 2.5

4th option is correct.

Answer:

{m| m < 2.5}

Step-by-step explanation:

m < 2 1/2,m < 2.5 , m ∑ [-∞, 5/2]

hope that helped!