(d) Given that the fifth and the seventh terms of the G.P form the first two consecutive terms of an arithmetic sequence, calculate the sum of the first 20 terms of the sequence ​

The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases.

the correct answer is B. Amortization.

A decrease in the amount of principal owed on a loan is called amortization.

Amortization refers to the gradual reduction of the principal balance of a loan over time through regular payments. When you make payments on a loan, a portion of the payment goes towards paying off the principal amount borrowed, while another portion goes towards paying the interest charged on the loan.

The process of amortization involves dividing the total loan amount into equal installments or payments over a specified period. With each payment made, a portion goes towards reducing the principal balance. As a result, the outstanding principal decreases over time, leading to the eventual repayment of the entire loan.

Amortization is a common feature in installment loans, such as mortgages, car loans, and personal loans. It allows borrowers to repay the loan gradually rather than in a lump sum, making it more manageable and affordable.

The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases. This means that over time, a larger portion of each payment goes towards paying off the principal, helping the borrower build equity and ultimately fully repay the loan.

Therefore, the correct answer is B. Amortization.

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Slope = change in y / change in x

Slope = (2-1)/(3 - -1)

Slope = 1/4

Step-by-step explanation:

Let the speed of bottle rocket be u and angle with horizon be A.

Then,

u= 13m/s

A= 55°

Now,

we know that,

x- component,

X= 13 cosA

Y-component,

Y = 13 sinA

=13×0.81915

=10.649 m/s ANS

Answer:

Agree

Step-by-step explanation:

Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."

Answer:

answer is b

Step-by-step explanation:

6x+10

6*-3+10=-8

4x+4

4*-3+4=-8

Answer:

Answer:x=79,202.77 ft

Answer:

Step-by-step explanation:

(2x-5y)^2

(2x-5y)(2x-5y)

4x^2-10xy-10xy+25y^2

4x^2-20xy+25y^2

------------------------------

(11a+2)(11a-2)

121a^2+22a-22a-4

121a^2-4

------------------------------

(7m+3)(7m+3)

49m^2+21m+21m+9

49m^2+42m+9

Answer:

non-linear

Step-by-step explanation:

The function is non-linear because it does not follow a specific line, rather it curves. A linear function must have a stable slope throughout the relation.

The answer is non-linear. Hope this helps :)

Answer:

1/1

Step-by-step explanation:

Answer:

(1/5 x 5) to the 5th power = 1

Answer:

-Below.

Step-by-step explanation:

4) When the carton is unopened the number of servings x = 0.

So there are 64-4(0) = 64 ounces in an unopened carton.

5) When all the milk has been poured out no. ounces left (y)  = 0 so

64 - 4x = 0

4x = 64

x = 16

So each serving contains 16 ounces of milk.

Answer:

8

Step-by-step explanation:

you have to divide 56 by 7 and you will get 8.

Answer:

8

Step-by-step explanation:

You're dividing the 56 cookies into 7 bags, so you write 56 ÷ 7 = 8

Answer:

radius of the curve=r=150m

coefficient of friction=\muμ =0.6

As car is avoid skidding

\begin{gathered}\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg\end{gathered}

↪

r

mv

2

=μmg

Cancel m

\begin{gathered}\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g\end{gathered}

↪

r

v

2

=μg

\begin{gathered}\\ \sf\hookrightarrow v^2=\mu rg\end{gathered}

↪v

2

=μrg

\begin{gathered}\\ \sf\hookrightarrow v^2=0.6(10)(150)\end{gathered}

↪v

2

=0.6(10)(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=60(150)\end{gathered}

↪v

2

=60(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=900\end{gathered}

↪v

2

=900

\begin{gathered}\\ \sf\hookrightarrow v=30ms^{-1}\end{gathered}

↪v=30ms

−1

Answer:

  x = (√21)/2

Step-by-step explanation:

The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. That means the middle-length side is (√3)/2 times the length of the longest side.

  x = (√3)/2·√7

  [tex]\boxed{x=\dfrac{\sqrt{21}}{2}}[/tex]

Answer:

[tex]6.29\%[/tex]

Step-by-step explanation:

[tex]\frac{175-164}{175}*100\%[/tex]

[tex]\frac{11}{175}*100\%[/tex]

[tex]0.0629*100\%[/tex]

[tex]6.29\%[/tex]

Answer: The following triangles are congruent.

Answer:

pic?

Step-by-step explanation:

send me the picture please

Answer:

Step-by-step explanation:

[tex]x - 0.20x \: = 1480[/tex]

[tex]0.8x = 1480[/tex]

[tex]x = 1480 \div 0.8[/tex]

I'm not sure if this is correct, but I got this

Last year’s computer models are discounted 20%. If a computer is on sale for $1,480, what is the original price of the computer rounded to the nearest dollar?

20% = 0.2

1,480 x 0.2 = 296

1,480 + 296 = 1,776

Answer: 1,776

Again, I don't know if this is correct, so don't be 100% sure with my response.

Answer:

20

Step-by-step explanation:

factors of 20 = 1 2 4 5 10 20

factors of 40 = 1 2 4 5 8 20 10

therefore 20 is the greatest common

Answer:

c 35.21

Step-by-step explanation:

rate of change is=to slope

in y=mx+b

m is slope(rate of change)

x the variable such as miles

b is y intercept

Answer:

Step-by-step explanation:

they arent similar because the ratio of 8 to 14 and 10 to 18 arent the same.

-3 and 4 cannot be the values of x in the given expression

The expression is given as:

[tex]\frac{(x^2-x-6x^2-8x+16)}{(x^2-x-12)}[/tex]

Start by equating the denominator to 0

[tex]x^2 - x - 12 = 0[/tex]

Expand the above equation

[tex]x^2 - 4x + 3x - 12 = 0[/tex]

Factorize the equation

[tex]x(x - 4) + 3(x - 4) = 0[/tex]

Factor out x - 4

[tex](x + 3) (x - 4) = 0[/tex]

Split

[tex](x + 3)= 0\ or\ (x - 4) = 0[/tex]

Remove brackets

[tex]x + 3= 0\ or\ x - 4 = 0[/tex]

Solve for x

[tex]x =- 3\ or\ x = 4[/tex]

Hence, -3 and 4 cannot be the value of x in the given expression

Read more about expressions at:

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Answer:

The last option is the correct one

Step-by-step explanation:

Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the right of the y-axis and 5 grid lines below the x-axis.

2(¼) = 0.5

5(-¼) = - 1.25

Answer: i think is A is i am doing the same test if i am wrong please tell me

Step-by-step explanation:

Answer:

b =146

Step-by-step explanation:

34 and b form a straight line so they add to 180

b+34 = 180

b = 180-34

b =146

The graph of each of the inequalities are created using a graphing tool as follows;

Graph 1; x ≥ (y + 3)² + 1

The domain = 1 ≤ x ≤ ∞

The range = -∞ < y < ∞

Graph 2; x ≤ (y + 3)² + 1

The domain = -∞ ≤ x ≤ ∞

The range = -∞ < y < ∞

Graph 3; x ≥ (y - 3)² + 1

The domain = 1 ≤ x ≤ ∞

The range = -∞ < y < ∞

Graph 4; x ≤ (y - 3)² + 1

The domain = -∞ ≤ x ≤ ∞

The range = -∞ < y < ∞

Learn more about graph of inequalities here:

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Answer:

c or x ≥ (y-3)^2+1

Step-by-step explanation:

Step-by-step explanation:

a lot of typos in the problem description.

if I understand correctly, the line contains the point (5, 10) and has a slope of 1.

and we need to give the line equation in slope-intercept form.

that means it has to look like

y = ax + b

a is the slope and b is the y-intercept (hence the name of the form).

we know a = 1.

we can use use the point-slope form to start and then transform it into the slope-intercept form.

point-slope means

y - y1 = a(x - x1)

a is again the slope, and (x1, y1) is a point on the line.

so,

y - 10 = 1(x - 5) = x - 5

now we transform it (adding 10 on both sides)

y = x + 5

and that's it.

Answer:

4.666666667 or 4.6_ (repeating decimal)

Answer:

Step-by-step explanation:

[tex]cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\[/tex]

∠L=60°