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Simple interest is a method of calculating interest on an amount. The sum of the total balances of these accounts at the end of 7 years is $27,822.54.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

[tex]\rm Simple\ Interest=\dfrac{P\times R \times T}{100}[/tex]

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

As it is given that the amount deposited by James is $12,000. While the interest earned on the first account is 2.2% compounded annually for a period of 7 years, therefore, the balance in the account will be,

[tex]\text{Account balance of first Account} = P(1+r)^t = 12,000(1.022)^7=\$13,974.54[/tex]

In the second account, James deposited $12,000 at a rate of 2.2% annual simple interest. Therefore, the balance in the account will be,

[tex]\text{Account balance of second Account} = P+\dfrac{P\times R \times T}{100}[/tex]

                                                        [tex]=12,000+\dfrac{12,000 \times 2.2 \times 7}{100} \\\\= \$13,848[/tex]

Now, the balance of the account when combined together will be,

[tex]\rm Total\ Balance = \text{Account balance of first Account} +\text{Account balance of second Account} \\\\\rm Total\ Balance = \$13,974.54+\$13,848 = \$27,822.54[/tex]

Hence,  the sum of the total balances of these accounts at the end of 7 years is $27,822.54.

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The interest earned on the investment f $6,599.20 earns 4.2% interest compounded monthly is $2,250.96

The compound interest is the interest added on a sum of money invested over a period of time. The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

Given the following

P =  $6,599.20

r = 4.2%  = 0.042

n = 12 (monthly)

t = 7 years

Substitute

A =  6,599.20 (1+0.042/12)^7(12)
A =  6,599.20 (1.0035)^84
A= $8,850.20

Interest = $8,850.20 -  $6,599.20

Interest = $2,250.96

Hence the interest earned on the investment f $6,599.20 earns 4.2% interest compounded monthly is $2,250.96

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Answer:

IT'S A !

Step-by-step explanation:

EDGE

Answer:

9,8,3

Step-by-step explanation:

9×8=72

9+3=12

as you can see the common number is 9 here

Answer:

The value of x = 1

Step-by-step explanation:

2x+3 = 5

=> 2x = 5-3

=> 2x = 2

=> x = 2/2

=> x = 1

Answer:

Step-by-step explanation:

In this question we are given with an equation that is 2x + 3 = 5 . And we are asked to find the value of x .

Solution : -

[tex] \longmapsto \qquad \: 2x + 3 = 5[/tex]

Step 1 : Subtracting with 3 on both sides :

[tex] \longrightarrow \qquad \:2x + \cancel{ 3} - \cancel{3} = 5 - 3[/tex]

On further calculations, We get :

[tex] \longrightarrow \qquad \:2x = 2[/tex]

Step 2 : Dividing with 2 on both sides :

[tex] \longrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{2}{2} }[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: \blue{\underline{\boxed{ \sf{x = 1}}}} \quad \bigstar[/tex]

Verifying : -

Now we are checking our answer by substituting value of x in the given equation . So ,

Therefore , our answer is correct .

Answer:

i think its c but i could be wrong

Answer:

The answer is C.

Step-by-step explanation:

Using distributive property.

(5x-6)(2x+3) = (2x+3)(5x-6)

2x*(5x-6)+3*(5x-6)

Answer:

Answer is 144 yeah you're good

Step-by-step explanation:

To find any sum of the interior angles for any regular polygon, you would use the equation (n - 2) * 180 [With n being the number of sides the polygon has]

Since the decagon has 10 sides n would be equal to 10, now plug it into this equation

[tex]= (10 - 2) * 180\\= 8 * 180\\= 1440[/tex]

So now we know the sum of the interior angles of the decagon is 1440, now if you were to find out the measurement of an interior angle for this decagon you would divide the sum of the interior angles by the amount of sides of the polygon.

In which case, the decagon has ten sides so...

[tex]= \frac{1440}{10} \\= 144[/tex]

Answer:

x = 32

Step-by-step explanation:

=> (3x-4) + (3x-8) = 180° (Linear pair)

=> 6x - 12 = 180

=> 6x = 192

=> x = 192/6

Therefore x = 32

The radius of the cone-shaped icecream that has a height of 4.5 in. and a volume of 1.5π in.³ is: 1 inches.

Volume = 1/3πr²h

The parameters of the cone are given below:

Height (h) = 4.5 in.

Volume of the cone = 1.5π in.³

Plug in the values to find radius (r):

1.5π = 1/3πr²(4.5)

3(1.5π) = πr²(4.5)

4.5π = πr²(4.5)

Divide both sides by 4.5π

1 = r²

r = 1 in.

Radius of the cone is 1 in.

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Step-by-step explanation:

[tex] - 150 - 325 = - 340[/tex]

The length of the third side is a-2. :))

Answer:

[tex]y \geq -4[/tex]

Step-by-step explanation:

This is because the lowest the y-coordinate goes to is -4.

Answer: the answer is D which is 4cm2

Answer:

1.5 and 2

Step-by-step explanation:

Hey ! there

Answer:

Step-by-step explanation:

In the question we are given that sum of two numbers is 6 , second number is three more than twice the first number .And We are asked to find the two numbers .

We are solving this question by assuming ,

Solution : -

As question says that sum of two numbers is 6 that is :

Now , substituting value of first and second number which we have assumed above ,

[tex] \longmapsto \qquad \: x +2x + 3 = 6[/tex]

Step 1 : Adding like terms on left side :

[tex]\longmapsto \qquad \:3x + 3 = 6[/tex]

Step 2 : Subtracting with 3 on both sides :

[tex]\longmapsto \qquad \:3x + \cancel{3 }- \cancel{3 }= 6 - 3[/tex]

On further calculating, We have :

[tex]\longmapsto \qquad \:3x = 3[/tex]

Step 3 : Dividing with 3 on both sides :

[tex]\longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3} }= \cancel{ \dfrac{3}{3} }[/tex]

On calculating further, We get :

[tex]\longmapsto \qquad \: \blue{\underline{\boxed{ \pink{\sf{x = 1}}}}}[/tex]

We know that ,

Therefore , first number is ❝ 1 ❞ .

And ,

Therefore , second number is ❝ 5 ❞ .

Verifying : -

Now we are verifying our answer by adding both the numbers and equating it with 6 as it's given in question that sum of both the numbers is equal to 6 .

Therefore, our answer is correct .

Answer:

Step-by-step explanation:

Answer:

About 5 hr 10 min  

Step-by-step explanation:

rate 1   = 1  pool / 9 hrs          rate 2 = 1 pool / 12 hours

now find the time with both rates combined

1 pool / ( 1/9 + 1/12)  =   1/ (7/36)  =   36/7 hr  = 5 1/7 hr = 5 hr 8.6 min

Answer:

3x³ - 2x² + x - 5

Hope this helps!

Answer:

g^-1(x)=1/4x+1/10

Step-by-step explanation:

y=4x-2/5

x=4y-2/5

4y-2/5=x

20y-2=5x

20y=5x+2

y=1/4x+1/10

g^-1(x)=1/4x+1/10

Answer:

1. 4th one (bottom right)

2. y=x -5

3. positive trend

Answer:

A: 3/44

Step-by-step explanation:

If you draw a red ball, it would have a 3/12 probability and then if you draw a pink, it would have a 3/11. Multiply 3/11 to 3/12 to get 3/44

Hope I could help :)

Answer:

A

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Billy is 4'7

138 centimeters in feet is 4'5

sp billy is 2 inches over the requirment.

Answer:

y = -x - 6

Step-by-step explanation:

Given:

From:

[tex]\displaystyle \large{y=mx+b}[/tex]

where m = slope and b = y-intercept. Therefore:

[tex]\displaystyle \large{y=-1x+b}\\\displaystyle \large{y=-x+b}[/tex]

Since the equation passes through a point (2,-8). Substitute x = 2 and y = -8 in and solve for b:

[tex]\displaystyle \large{-8=-2+b}\\\displaystyle \large{-8+2=b}\\\displaystyle \large{b=-6}[/tex]

Then substitute b-value in the equation:

[tex]\displaystyle \large{y=-x+b}\\\displaystyle \large{\therefore y=-x-6}[/tex]

Hence, the equation is y = -x - 6

Answer:

y = -x - 6

Step-by-step explanation:

Hi there!

We are given that a line contains the point (2, -8), and a slope of -1

We want to find the equation of this line, in slope-intercept form

Slope-intercept form is written using the formula y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name

Notice how we are already given the slope - we can immediately plug that into the equation as m.

y = -x + b (when -1 is the coefficient in front of a number, there is no need to write '-1x'. '-x' is sufficient.)

Now, we need to find b

The line contains the point (2, -8), meaning that it is a solution to the equation. If this is the case, that means that the values of x and y that make up the point will make the equation true, when you plug those values into the equation

So substitute 2 as x and -8 as y:

-8 = -2 + b

Add 2 to both sides

-8 = -2 + b

+2    + 2

_____________

-6 = b

Substitute -6 as b.

y = -x -6

Hope this helps!

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Tomando la suma de las alturas, veremos que la colmena está a 3.5 metros del suelo.

La distancia del suelo será igual a la suma entre la altura del oso, que es 2.3 metros, y la altura de la roca, que es de 12 decimetros.

Recordar:

1dm = 1*10^(-1) m

Entonces podemos hacer el cambio de unidades:

12dm = 12*10^(-1) m = 1.2 m

Así, la suma de las alturas es:

1.2m + 2.3m = 3.5m

Es decir, la colmena está a 3.5 metros del suelo.

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Answer: 6.28

Radius:

r=d/2
r=2/2
r=1

Circumference:

C=2(3.14)r
C=2(3.14)x1
C=2(3.14)
C=6.28

Formulae:

Circumference= 2(3.14)r(radius)
Radius=Diameter/2

Answer:

width is 9

length is 13

Step-by-step explanation:

l=3b +4

w=b

(3b+4)2+2b=80

6b+8+2b=80

8b+8=80

8b=80-8=72

b=72/8

b=9

Answer:

Step-by-step explanation:

Answer:

D: 610 ½cm³

Step-by-step explanation:

16 ½= 16.5

9 ¼= 9.25

V= L x W x H

V=16.5 x 4 x 9.25

16.5x4=66

66x9.25=610.5cm³

610.5cm³ = 610 ½cm³

there is your answer

THAT IS THE CORRECT ANSWER....

A QUESTION

ARE U HIGH SCHOOL?

π(5in)² * 30 over 360 can be used to determine sector area.

[tex]\sf sector \ area \ : \dfrac{\theta}{360} *\pi *radius^2[/tex]

# radius = 5 inches

# angle = 30 degrees

sector area:

[tex]\hookrightarrow \sf \dfrac{30}{360} *\pi *5^2[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{12} *\pi *25[/tex]

[tex]\hookrightarrow \sf \dfrac{25}{12}\pi[/tex]

[tex]\hookrightarrow \sf 6.54 \ inch^2[/tex]

Answer:

[tex]\pi (5\: \sf in)^2\left(\dfrac{30^{\circ}}{360^{\circ}}\right)[/tex]

π(5in)² 30 over 360

Step-by-step explanation:

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

(where [tex]\theta[/tex] is the angle and r is the radius)

Given:

Substituting these values into the equation:

[tex]\begin{aligned}\implies\textsf{Area} &=\left(\dfrac{30^{\circ}}{360^{\circ}}\right) \pi \cdot (5\: \sf in)^2\\\\ & = \pi (5\: \sf in)^2\left(\dfrac{30^{\circ}}{360^{\circ}}\right)\\\\ & = \pi \cdot 25\:(\sf in^2) \cdot \dfrac{1}{12}\\\\ & = \dfrac{25}{12} \pi \:(\sf in^2) \\\\ & = 6.54\: \sf in^2\:(nearest\:hundredth) \end{aligned}[/tex]

Answer:-63

Step-by-step explanation:

well first you would do 4-11 which is -7 and then -7x9=-63

Answer:

-63

Step-by-step explanation:

1. Subtract 11 from both sides:

[tex]\frac{x}{9} =-7[/tex]

2. Multiply both sides by 9 to isolate x:

[tex](9)\frac{x}{9} =-7(9)[/tex]

x = -63

hope this helps!