Aphrodite took out a 30-year loan from her bank for $170,000 at an APR of
7.2%, compounded monthly. If her bank charges a prepayment fee of 6
months' interest on 80% of the balance, what prepaymeant fee would
Aphrodite be charged for paying off her loan 12 years early?
A. $3246.74
B. $4078.20
C. $4895.83
D. $4921.46​

Answers

Answer 1

Answer:

  A. $3246.74

Step-by-step explanation:

The monthly payment can be found from the amortization formula.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the principal amount, r is the annual rate compounded n times per year for t years.

Filling in the values, we compute the monthly payment to be ...

  A = $170,000(.072/12)/(1 -(1 +.072/12)^(-12·30)) = $1153.94

__

The remaining balance after t years will be ...

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

For the given initial principal and the computed payment, after 18 years, the balance will be ...

  B = $170000(1 +.072/12)^(12·18) -$1153.94((1 +.072/12)^(12·18) -1)/(.072/12)

  B = $111,054.71

The prepayment penalty appears to be ...

  (r/2)(0.80B) = (.072/2)(0.80)($111,054.71) = $3,198.38

The closest listed answer choice is ...

  A.  $3246.74

_____

Please ask your teacher how to get the answer, since none of the offered choices appear to be correct.


Related Questions

Which shapes have the same volume as the given rectangular prism?

base area = 50 cm^2​

Answers

Answer:The first one

Step-by-step explanation:

V rectangular prism = Area of the base *5

A dinner at a restaurant was advertised at $60 plus 18% tax. The total bill for this dinner was. Show working plss

Answers

Answer:

Total bill = $70.80

Step-by-step explanation:

$60 × 0.18 = $10.80

$60 + $10.80 = $70.80

Hope this helps! :)

Answer:

$70.8

Step-by-step explanation:

Since it is 18 percent tax,we need to find 18% of 60$.In order to do that we need to do 60/1 mutiplied by 18/100 and doing the math 18% of 60 =10.8

Now we have to add 60+10.8=$70.8

Thank you and I hope all you have an amazing day.Hope this helps you.Thank you.

An amusement park has 20 rides. Ethan has enough time to ride 3 rides before the park closes. How many different ways could Ethan pick to ride the 3 rides? PLZZZZ HELLPPPP MEEEE

Answers

Answer:

20*19*18 = 6840

UNLESS...............  

he is allowed to ride the same ride again , over and over....  

then it is 20 x 20 x 20 = 8000

Step-by-step explanation:

Which of these numbers is prime? 13, 30, 49, 65, 87

Answers

Answer: 13

Explanation: 13 = prime
30 = composite
49 = composite
65 = composite
87 = composite

Answer:

13

Step-by-step explanation:

factors of 13 : 1, 13

factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

factors of 49: 1, 7, 49

factors of 65: 1, 5, 13, 65

factors of 87: 1, 3, 29, 87

helppppppp pleassssseeeeee

Answers

Answer:

First blank is 4, second blank is 0

Step-by-step explanation:

divide it :)

Answer:

Yellow box #1=0

Yellow box #1=4

Step-by-step explanation:

From a group of 10 women and 15 men, a researcher wants to randomly select
women and men for a study in how many ways can the study group be selected?
O A 17,876
78,016,400
OG 105, 102,625
OD 00,000,000
WO

Answers

Answer:

The total number of ways the researcher can select  5 women and 5 men for a study is 7,56,756.

Step-by-step explanation:

The complete question is:

From a group of 10 women and 15 men, a researcher wants to randomly select  5 women and 5 men for a study in how many ways can the study group be selected?

Solution:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

 [tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]

The number of women in the group: [tex]n_{w}=10[/tex].

The number of women the researcher selects for the study, [tex]k_{w}=5[/tex]

Compute the total number of ways to select 5 women from 10 as follows:

[tex]{n_{w}\choose k_{w}}=\frac{n_{w}!}{k_{w}!\cdot (n_{w}-k_{w})!}=\frac{10!}{5!\cdot (10-5)!}=\frac{10!}{5!\times 5!}=252[/tex]

The number of men in the group: [tex]n_{m}=15[/tex].

The number of men the researcher selects for the study, [tex]k_{m}=5[/tex]

Compute the total number of ways to select 5 men from 15 as follows:

[tex]{n_{m}\choose k_{m}}=\frac{n_{m}!}{k_{m}!\cdot (n_{m}-k_{m})!}=\frac{15!}{5!\cdot (15-5)!}=\frac{15!}{5!\times 10!}=3003[/tex]

Compute the total number of ways the researcher can select  5 women and 5 men for a study as follows:

[tex]{n_{w}\choose k_{w}}\times {n_{m}\choose k_{m}}=252\times 3003=756756[/tex]

Thus, the total number of ways the researcher can select  5 women and 5 men for a study is 7,56,756.

Solve the system by the method of substitution.

1.5x + 0.8y = 2.3
0.3x − 0.2y = 0.1

Answers

Answer:

[tex]\boxed{\sf \ \ \ x = 1 \ \ , \ \ y = 1 \ \ \ }[/tex]

Step-by-step explanation:

hello

we can multiply by 10 both parts of the equations so this is equivalent to

(1) 15x + 8y = 23

(2) 3x - 2y = 1

and we are asked to use the method of substitution

from (2) we can write 3x = 2y + 1

and we substitute 3x in (1) as 15x = 5*3x it comes

5*(2y+1) + 8y = 23

<=> 10y + 5 + 8y = 23

<=> 18y + 5 = 23  let's subtract 5

<=> 18y = 23 - 5 = 18  let's divide by 18

<=> y  =  1

and finally replace y in 3x = 2y + 1

3x = 2*1 + 1 = 3 <=> x = 1 (divide by 3)

so the solution is x = 1, y = 1

hope this helps

Answer:

(1,1)

Step-by-step explanation:

1.5x + 0.8y = 2.3

0.3x − 0.2y = 0.1

I'm going to multiply both of these equations by 10, so we can work with whole numbers.

15x+8y=23

3x-2y=1

We can simplify one of the equations to isolate a variable.

I'm going to isolate y in equation 2.

3x-2y=1

Subtract 3x from both sides.

-2y=-3x+1

Divide both sides by -2.

y=1.5x-0.5

Plug 1.5x-0.5 into the first equation for y.

15x+8(1.5x-0.5)=23

Distribute.

15x+12x-4=23

Combine like terms.

27x-4=23

Add 4 to both sides.

27x=27

Divide both sides by 27.

x=1

Plug that back into original equation to find y.

15(1)+8y=23

15+8y=23

Subtract 15 from both sides.

8y=8

Divide both sides by 8.

y=1

The solution to the system is (1,1).

Work out percentage change to 2 decimal places when price of 97 is decreased to 90

Answers

Answer:

7.22?

Step-by-step explanation:

Provided that the ACT scores are reasonably normally distributed with a mean of 18 and standard deviation of 6, what is the proportion of students with a score of 24 or higher

Answers

Answer:

0.158655253931 or 15.8%

Step-by-step explanation:

Consider the y-intercepts of the functions. f(x)= 1/5 [x-15] g(x)= (x-2)^2 The y-coordinate of the greatest y-intercept is..

Answers

Answer:

4

Step-by-step explanation:

I used Desmos

We will see that the y-intercept of g(x) is larger than the y-intercept of f(x).

How to find the y-intercepts?

For a function y = f(x), the y-intercept is the value that takes y when we evaluate in x = 0.

So, for the first function:

[tex]f(x) = (1/5)*|x - 15|[/tex]

The y-intercept is:

[tex]f(0) =  (1/5)*|0 - 15| = 15/5 = 3[/tex]

For the second function:

[tex]g(x) = (x - 2)^2[/tex]

The y-intercept is:

[tex]g(0) = (0 - 2)^2 = (-2)^2 = 4[/tex]

Then we can see that g(x) has a greater y-intercept than f(x).

If you want to learn more about y-intercepts:

https://brainly.com/question/1884491

#SPJ2

After the last ice age began, the number of animal species in Australia changed rapidly. The relationship between the elapsed time, t, in years, since the ice age began, and the total number of animal species, S year(t), is modeled by the following function: S year(t)=25,000,000⋅(0.78)t Complete the following sentence about the rate of change in the number of species in decades. Round your answer to two decimal places. Every decade, the number of species decays by a factor of

Answers

Answer:

Every decade, the number of species decays by a factor of 0.0834.

Step-by-step explanation:

Let be [tex]S(t) = 25,000,000\cdot 0.78^{t}[/tex], [tex]\forall t \geq 0[/tex]. The decay rate per decay is deducted from the following relation:

[tex]\frac{S(t+10)}{S(t)} = \frac{25,000,000\cdot 0.78^{t+10}}{25,000,000\cdot 0.78^{t}}[/tex]

[tex]\frac{S(t+10)}{S(t)} = 0.78^{t+10-t}[/tex]

[tex]\frac{S(t+10)}{S(t)} = 0.78^{10}[/tex]

[tex]\frac{S(t+10)}{S(t)} = 0.0834[/tex]

Every decade, the number of species decays by a factor of 0.0834.

Answer:

28% subtracted

Step-by-step explanation:

khan

The function g(x) is a transformation of the parent function f(x). Decide how f(x) was transformed to make (gx). Table f(x) x= -2, -1, 2, 3, 4 y= 1/9, 1/3, 9, 27, 81 Table g(x) x= -2, -1, 2, 3, 4 y= -17/9, -5/3, 7, 25, 79
I need answers this in 5min pls help!!

Answers

Answer:

f(x) translate 2 units down to get the function g(x).

Step-by-step explanation:

From the given tables it is clear that the x-values for both tables are -2,-1,2,3,4.

Difference between y-values of both functions are:

[tex]\dfrac{-17}{9}-\dfrac{1}{9}=-2[/tex]

[tex]\dfrac{-5}{3}-\dfrac{1}{3}=-2[/tex]

[tex]7-9=-2[/tex]

[tex]25-27=-2[/tex]

[tex]79-81=-2[/tex]

So, difference between y-values of both functions is constant, i.e., -2.

Now, we get

[tex]g(x)=f(x)-2[/tex]

It means function f(x) shifts 2 units down to get the function g(x).

Therefore, f(x) translate 2 units down to get the function g(x).

Answer: horizontal or vertical stretch

The sugar content of the syrup in canned peaches is normally distributed. A random sample of n=25 cans yields a sample standard deviation of s=6.9 milligrams. Construct a 99% one-sided lower confidence bound for the population variance.

Answers

Answer:

99% one-sided lower confidence bound = 26.77

Step-by-step explanation:

We have to calculate a 99% one-sided lower confidence bound for the population variance.

The sample size is n=25.

The degrees of freedom are then:

[tex]df=n-1=25-1=24[/tex]

The critical value of the chi-square for this confidence bound is:

[tex]\chi^2_{0.01, \,24}=42.98[/tex]

Then, the lower confidence bound can be calculated as:

[tex]LB=\dfrac{(n-1)s^2}{\chi^2_{0.01,24}}=\dfrac{24\cdot(6.9)^2}{42.98}=\dfrac{1,142.64}{42.68}=26.77[/tex]

HELP ON THIS QUESTION PLEASE

Answers

Answer:

slope is m=1. y-intercept is -1

Answer:

Slope is 1 and intercept is -1. Slope can be found by taking the rise and run of 2 points on a graph. and intercept is just when x = 0

Solve the initial-value problem. x' + 2tx = 5t, x(0) = 8 x(t) =

Answers

Multiply both sides of the ODE

[tex]x'+2tx+5t[/tex]

by [tex]e^{t^2}[/tex]:

[tex]e^{t^2}x'+2te^{t^2}x=5te^{t^2}[/tex]

Now the left side can be condensed as the derivative of a product:

[tex]\left(e^{t^2}x\right)'=5te^{t^2}[/tex]

Integrate both sides, then solve for x :

[tex]e^{t^2}x=\dfrac52e^{t^2}+C[/tex]

[tex]\implies x(t)=\dfrac52+Ce^{-t^2}[/tex]

Given that x(0) = 8, we find

[tex]8=\dfrac52+Ce^0\implies C=\dfrac{11}2[/tex]

so that the particular solution to this IVP is

[tex]\boxed{x(t)=\dfrac{5+11e^{-t^2}}2}[/tex]

Which expression has a positive value?
A - Negative 4 + (negative 5) (negative 6) divided by (negative 3)
B - 8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
C - 3 (negative 64 divided by 8) + 25
D - Negative 2 (negative 5) (negative 3) divided by 10

Answers

Answer:

C - 3 (negative 64 divided by 8) + 25 =1

Step-by-step explanation:

Answer:

C is correct answer

Step-by-step explanation:

How can (4x⁵/2x²)³ be solved in 2 different ways

Answers

We assume that we need to simplify the expression in two different ways.

Answer:

One way: Raise both, the numerator and denominator, to the third power, and then simplify the expression.

Second way: Simplify the terms inside parentheses, and then raise the result to the third power.

The result of both ways is the same: [tex] \\8x^{9}[/tex]

Step-by-step explanation:

One way

Raise both, the numerator and denominator, to the third power, and then simplify the expression:

[tex] \\ (\frac{4x^{5}}{2x^{2}})^{3}[/tex]

[tex] \\ (\frac{64x^{5*3}}{8x^{2*3}})[/tex]

[tex] \\ (\frac{64x^{15}}{8x^{6}})[/tex]

[tex] \\ \frac{64}{8}\frac{x^{15}}{x^{6}}[/tex]

[tex] \\8x^{9}[/tex]

This is the first simplification.

Second way

Simplify the terms inside parentheses, and then raise the result to the third power.

[tex] \\ (\frac{4x^{5}}{2x^{2}})^{3}[/tex]

[tex] \\ (\frac{4}{2}*\frac{x^{5}}{x^{2}})^{3}[/tex]

[tex] \\ (2*x^{5-2})^{3}[/tex]

[tex] \\ (2*x^{3})^{3}[/tex]

[tex] \\ (2^{3}*x^{3*3})[/tex]

[tex] \\ (8*x^{9})[/tex]

or [tex] \\ 8x^{9}[/tex].


The angle that is a
corresponding
angle with angle 1
is angle [?]

Answers

Answer:

2

Step-by-step explanation:

A corresponding angle is in the same position on another parallel line

1 and 2 are both above the parallel line and  to the left of the transversal

1 and 2 are corresponding angles

Answer: Angle 2

Step-by-step explanation:

Corresponding Angles are angles that take up the same spot at independent vertices, with the same transversal.  Both angle 1 and 2 are the top left angles of their vertex.

Hope it helps <3

Evaluate 5 + 2(x + 7)2 for x = -4.
O A. 23
O B. 13
O C. 18
O D. 63

Answers

Hey there! :)

Answer:

A. 23.

Step-by-step explanation:

Given:

5 + 2(x + 7)² for x = -4

Substitute in -4 for x in the equation:

5 + 2((-4) + 7)²

5 + 2(3)²

5 + 2(9)

5 + 18 = 23.

Therefore, the correct answer is A. 23.

Answer:

23

Step-by-step explanation:

5 + 2(x + 7)^2

Let x =-4

5 + 2 ( -4+7)^2

Parentheses first

5 +2 (3)^2

5+ 2*9

Multiply

5+18

add

23

Add. Answer as a fraction. Do not include spaces in your answer. Do not include spaces in your answer.

Answers

Answer: 49/9

Step-by-step explanation: 42/9 + 7/9 = 49/9

Make first fraction into improper fraction with the same common dominator as 7/9 and add them both

Hope this helps:)

Answer:

49/9

Step-by-step explanation:

Find the gradient of the line 2y = 8x + 1 =

. Find the y-intercept of the line 4y + 8x = -8 =

Does the point (1 ,12) lie on the line y = 3x + 8 ? =

Does the point (-2 ,10) lie on the line y = 14 + 2x ? =

Answers

Answer:

56 46 38 2 12

Step-by-step explanation:

Translate into an algebraic expressions: b is decreased by 40% and decreased again by 40% . What is the result ?

Answers

Answer:

Result = 9b/25 or 36b/100

Step-by-step explanation:

The number is b

step 1

b is decreased by 40%

value of 40% of b = 40/100 *b = 4b/10

New value after this change = b - 40% decreased value of b = b -4b/10

= (10b-4b)/10 = 6b/10

Step 2 The new value obtained is again decreased by 40%

value of 40%  number found in step 1 =  40% of value found in step 1

value of 40%  number found in step 1 =  40/100 * 6b/10 = 24b/100

This value (24b/100) is subtracted from value found in step 1(6b/10) as given that  value obtained is decreased by 40%

new value found after 40% decrease = 6b/10 - 24b/100

new value found after 40% decrease = 60b/100 - 24b/100= 36b/100

new value found after 40% decrease =  36b/100 = 9b/25

Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25

Seventy-five cars sit on a parking lot. Thirty have stereo systems, 30 have air conditioners and 40 have sun roofs. Thirty of the cars have at least two of these three options, and 15 have all three.

Required:
a. How many cars on the lot have at least one of the three options?
b. How many have exactly one?

Answers

Answer:

a. 55 cars

b. 25 cars

Step-by-step explanation:

Let's call the number of cars with stereo systems N(ss), with air conditioners N(ac) and with sun roofs N(sr).

So we have that:

N(ss) = 30

N(ac) = 30

N(sr) = 40

N(ss and ac and sr) = 15

N(at least two) = 30

a.

To find how many cars have at least one option (N(at least one) or N(ss or ac or sr)), we have:

N(ss or ac or sr) = N(ss) + N(ac) + N(sr) - N(ss and ac) - N(ss and sr) - N(ac and sr) + N(ss and ac and sr)

N(ss or ac or sr) = 30 + 30 + 40 - (N(at least two) + 2*N(ss and ac and sr)) + 15

N(ss or ac or sr) = 30 + 30 + 40 - (30 + 2*15) + 15 = 55

b.

The number of cars that have only one option is:

N(only one) = N(at least one) - N(at least two)

N(only one) = 55 - 30 = 25

WILL GET BRAINLIEST AND 20 POINTS!

Answers

Answer:

1) 2(x-1)^2

2)  y=2(x-1)^2

Step-by-step explanation:

The 1st one is a statement in the terms of x, and the 2nd on is in the slope intercept(graphing) format

please answer thank you

Answers

Answer:

Option A

Step-by-step explanation:

Given function is,

f(x) = x² + 3x + 5

We have to find the value of f(a + h) so we will substitute (a + h) in place of x, and simplify the expression.

f(a + h) = (a + h)² + 3(a + h) + 5

           = a² + 2ah + h² + 3(a + h) + 5 [(a + b)² = a² + 2ab + b²]

           = a² + 2ah + h² + 3a + 3h + 5

Therefore, Option A will be the answer.

Tom, who is considering purchasing a new car, is comparing fuel efficiency between models by car-maker C1 and car-maker C2.

Answers

Answer: Car-maker C1

Explanation:

The minimum value is visually shown as the tip of the left whisker. For car-maker C1, the min value is 12. For car-maker C2, the min value is 10, which we can see is less than C1's value. So that's why C1 is the answer.

The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week. She finds that East Coast group ships an average of 1299 parts and knows the population standard deviation to be 350. The Midwest group ships an average of 1456 parts and knows the population standard deviation to be 297.Using a 0.01 level of significance, test if there is a difference in productivity level. What is the p-value? (Round to four decimal places) p-value =

Answers

Answer:

The results of the hypothesis test suggests that there is no difference in productivity level of two warehouses (East Coast and the Midwest Coast).

p-value = 0.0473

Step-by-step explanation:

To perform this test we first define the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, we want to test if there is a difference in productivity level of the two warehouses (East Coast and the Midwest Coast).

Hence, the null hypothesis would be that there isn't significant evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast). That is, there is no difference in the productivity level of two warehouses (East Coast and the Midwest Coast).

The alternative hypothesis is that there is significant evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast).

Mathematically, if the average productivity level of the East Coast group is μ₁, the average productivity level of the Midwest group is μ₂ and the difference in productivity level is μ = μ₂ - μ₁

The null hypothesis is represented as

H₀: μ = 0 or μ₂ = μ₁

The alternative hypothesis is represented as

Hₐ: μ ≠ 0 or μ₂ ≠ μ₁

So, to perform this test, we need to compute the test statistic

Test statistic for 2 sample mean data is given as

Test statistic = (μ₂ - μ₁)/σ

σ = √[(s₂²/n₂) + (s₁²/n₁)]

μ₁ = average productivity level of the East Coast group = 1299 parts shipped

n₁ = sample size of East Coast group surveyed = 35

s₁ = standard deviation of the East Coast group sampled = 350

μ₂ = average productivity level of the Midwest group = 1456 parts shipped

n₂ = sample size of Midwest group surveyed = 35

s₂ = standard deviation of the Midwest group sampled = 297

σ = √[(297²/35) + (350²/35)] = 77.5903160379 = 77.59

We will use the t-distribution as no information on population standard deviation is provided

t = (1456 - 1299) ÷ 77.59

= 2.02

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n₁ + n₂ - 2 = 35 + 35 - 2 = 68

Significance level = 0.01

The hypothesis test uses a two-tailed condition because we're testing in both directions.

p-value (for t = 2.02, at 0.01 significance level, df = 68, with a two tailed condition) = 0.047326

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.01

p-value = 0.047326

0.047326 > 0.01

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast).

Hope this Helps!!!

Single discount rate equavalent to a series of discounts 20% and 25% is

Answers

Answer:

The single discount rate equavalent is a discount of 40%.

Step-by-step explanation:

The multiplier for a increase of a% is 1 + a/100.

The multiplier for a decrease of b% is 1 - b/100.

Discount of 20%:

20% decrease:

1 - (20/100) = 1 - 0.2 = 0.8

Discount of 25%:

1 - (25/100) = 1 - 0.25 = 0.75

Series of discounts(20% and 25%):

0.8*0.75 = 0.6

1 - 0.6 = 0.4

The single discount rate equavalent is a discount of 40%.

Explain in your own words why a polynomial can’t be a quadratic if a= 0?

Answers

If [tex]a = 0[/tex], then [tex]y = ax^2+bx+c[/tex] turns into [tex]y = 0x^2+bx+c[/tex]. That [tex]0x^2[/tex] term goes away because it turns into 0, and adding 0 onto anything does not change the expression.

So  [tex]y = 0x^2+bx+c[/tex] turns into [tex]y = bx+c[/tex] which is a linear equation (b is the slope, c is the y intercept). It is no longer a quadratic as quadratic equations always graph out a curved parabola.

As an example, you could graph out [tex]y = 0x^2+3x+4[/tex] and note how it's the exact same as [tex]y = 3x+4[/tex], both of which are straight lines through the two points (0,4) and (1,7).

What is the leading coefficient of a cubic polynomial that has a value of −208 when x=1, and has zeros of 5, 5i, and −5i?

Answers

Answer:

2

Step-by-step explanation:

We already have the zeros, so we can write the cubic polynomial in this general form:

[tex]y = a(x - x_1)(x - x_2)(x - x_3)[/tex]

Where:

[tex]x_1 = 5[/tex]

[tex]x_2 = 5i[/tex]

[tex]x_3 = -5i[/tex]

So we have that:

[tex]y = a(x -5)(x - 5i)(x + 5i)[/tex]

[tex]y = a(x -5)(x^2 + 25)[/tex]

To find the value of the leading coefficient 'a', we can use the point (1, -208) given:

[tex]-208 = a(1 -5)(1 + 25)[/tex]

[tex]-208 = a(-4)(26)[/tex]

[tex]a = -208 / (-104) = 2[/tex]

So the leading coefficient is 2.

Other Questions
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