Mathematics High School

Use the table provided to determine the total amount paid on a 30 year fixed loan, at 6.0%, of $75,000.



$162,000

c.

$143,820

b.

$153,750

d.

$133,250

Answers

Answer 1

The right answer is A.162,000 
Answer 2

Answer:

162000

Step-by-step explanation:

For 75000 paying in 30 years at 6% we have

Mortgage Summary

Monthly Payment      $449.66

Total Interest Paid  $86,879

9

Total of 360 Payments $161,879

Pay-off Date  Feb, 2049

We find out of 4 options given 162000 is nearer to this 161879

Hence option of 162000 is the right answer.

Related Questions

Match the reasons with the statements in the proof.

1. m∠6=m∠8, b||c
Substitution
2. m∠7=m∠8
If alternate interior angles equal, then lines ||.
3. m∠6=m∠7
Given
4. a||b
If lines ||, corresponding angles =.

Answers

1. m∠6=m∠8, b||c
Given

2. m∠7=m∠8
If lines ||, corresponding angles =.

3. m∠6=m∠7
Substitution 

4. a||b
If alternate interior angles equal, then lines ||. 

The statements and reasons are m∠6 = m∠7 | Given, m∠7 = m∠8 | If alternate interior angles equal, then lines are parallel, m∠6 = m∠8, b||c | Substitution and a||b | If lines are parallel, corresponding angles are equal.

The reason for statement 1 is "Given" because it is given in the problem.

The reason for statement 2 is "If alternate interior angles equal, then lines are parallel." This is a theorem in geometry.

The reason for statement 3 is "Substitution" because we are substituting m∠7 for m∠8.

The reason for statement 4 is "If lines are parallel, corresponding angles are equal." This is also a theorem in geometry.

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Please find the domain and range of this equation: y=3 (x-2)^2+5

Answers

we have
y=3(x-2)^2+5

using a graph tool
see the attached figure

the domain is (-∞,∞)
the range is [5,∞)

natalie guessed on the last four true or false questions on her math quiz. what is the probability that she got all four quiz questions correct?

Answers

each question is either true or false, so the sample space is 2, true and false, two states only.

what's the probability she got one correct, well, the favorable outcomes is 1, possible outcomes is 2, so 1/2.

what's the probability that she got all four correct, we simply multiply the probability of each,


[tex]\bf \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\implies \cfrac{1}{16}\implies 0.0625\qquad or\qquad 6.25\%[/tex]

The probability that Natalie got all four quiz questions correct after guessing would be 6. 25 %.

How to find the probability ?

If Natalie guessed on the last four true or false questions, there are two possible outcomes for each question (correct or incorrect), and she has a 50% chance of guessing correctly for each question since there are only two options.

To find the probability that she got all four quiz questions correct, you can multiply the probabilities for each question:

Probability of guessing a question correctly = 0.5 (since there are 2 options, and she has a 50% chance of guessing correctly)

Probability of getting all four questions correct = (0.5) * (0.5) * (0.5) * (0.5)

= 0.0625

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Jan has a box of magnets. She finds 21 more magnets. She now has a total of 33 magnets. How many magnets did Jan have to start?
12 magnets

21 magnets

45 magnets

33 magnets

Answers

The answer for this question is 12 magnets. Hope this helps!

A gymnasium can hold no more than 650 people. A permanent bleacher in the gymnasium holds 136 people. The event organizers are setting up 25 rows with an equal number of chairs. At most, how many chairs can be in each row?

Answers

STEP 1:
subtract permanent seating
=650-136
=514 remaining seating

STEP 2:
divide remaining seating by 25 chairs per row
=514 ÷ 25
=20.56 chairs per row.

This can also be solved using the following equation:

136 + 25x <= 650
25x<=514
x<=20.56

ANSWER: At most, 20 chairs can be in each row. You can only have whole chairs, not partial, so the answer is 20, not 20.56.

Hope this helps! :)

which ratio is equivalent to 10 : 85

20/170

2/15

5/42

20/95

Answers

the simplest form of
[tex]10 \div 85[/tex]
is

2/17



now if we see the first option i.e

20/170 we see on simplifying that


it's same as


2/17





hence option 20/170 is correct

to convert 45000 inches into miles which two ratios could you multiply by

Answers

45000 x 63360 

Hope this helped!



Which is a way to borrow money from a bank or financial institution to pay for a car?

car loan

car lease

car rental

Answers

Car loan is the answer to your question
A. car loan is your best answer. Hopes this helps

Ms.pacheco is three years older than mr.richards mr.edward is twice as old as mr.richard the sum of mr.richards age and mredwards age is 81

Answers

Ms. Pacheco is 43 and a half
Mr. Richards is 40 and a half
Mr. Edwards is 81

Factor the trinomial

x^2 − 7x + 10

What is the factored form of the trinomial, and why?

A. (x−2)(x−5). The product of –2 and –5 is –10, and their sum is 7.


B. (x−2)(x−5). The product of –2 and –5 is 10, and their sum is –7.


C. (x+2)(x+5). The product of 2 and 5 is 10, and their sum is 7.


D. (x+2)(x+5). The product of 2 and 5 is 10, and their sum is –7.

Answers

Lets get started :)

x² - 7x + 10

We are going to find something in this form:
                            ↓
           (                )(                )

x² is nothing but x multiplied by itself 
                            ↓
          (x               )(x               )             

-7x + 10 follows
since the sum is negative and the product is positive then the signs inside the bracket will be as follows
                         ↓
              ( x  -    )( x  -   )

-7x should be the sum and 10 should be the product
multiples of 10 = 1 x 10       =       2 x 5      =    -1 x -10     =   -2 x -5          
                               ↓                       ↓                   ↓                   ↓
                          1 + 10 = 11          2 + 5 = 7      -1 - 10 = -11    = -2 -5 = -7  

So the sum of -2 and -5 is -7 and the product of -2 and -5 is 10
                                            ↓
                                 ( x - 2 )( x - 5 )

Your final answer will be option B

The factored form of the trinomial (x − 2) (x − 5):

The product of –2 and –5 is –10, and their sum is 7.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

(x − 2) (x − 5)

When factoring a trinomial in the form of ax² + bx + c, we look for two numbers whose product is equal to a x c and whose sum is equal to b.

In this case,

We need two numbers whose product is (1)(10) = 10 and whose sum is -7. These numbers are -2 and -5, so the factored form is (x-2)(x-5).

Thus,

(x − 2) (x − 5)

The product of –2 and –5 is –10, and their sum is 7.

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In general, reducing the interest rate (i) of a credit card but keeping the present value (PV) and number of periods (n) the same will __________. a. decrease the monthly payment (P) needed to pay off the debt b. increase the monthly payment (P) needed to pay off the debt c. eliminate the monthly payment (P) needed to pay off the debt d. have no effect on the monthly payment (P) needed to pay off the debt

Answers

If the present value and number of periods are the same, but interest rate is lowered, this means that less interest needs to be paid each month, and the correct answer is a) decrease the monthly payment.
Monthly payments would increase if the interest rate increases. Monthly payments cannot be eliminated.
The correct answer is:

A) decrease the monthly payment (P) needed to pay off the debt.

Explanation:

When calculating the monthly payment, the interest rate affects the amount you pay.

The higher the interest rate is, the more you must pay monthly in order to pay the debt off within the same number of time periods.

However, if you lower the interest rate, the reverse will be true; you will need to pay less money each month in order to pay off the debt within the same amount of time.

I need help w/ this problem...please don't answer if you don't know and PLEASE answer as fast as you can...I'm desperate.

Answers

There's a very simple rule for geometries like this. The measure of the arc is double the measure of the angle. It helps to remember this.

Your angle is 65°.
The measure of the arc is 2×65° = 130°.
You need to use the central angle.
If you know the radius or how CD works (does it go through the center), then  the answer will be less vague. The central angle = 2 * 65 = 130
the length of BC is 

130/360 * 2*pi*r
13/18 * pi r is the general answer.

Hannah wants to compare the densities (the ratios of mass to volume) of different brands of gelato. What would be an appropriate unit for Hannah's purpose?

Answers

For this case, the first thing you should know is that the density is defined as:
 D = m / v
 Where,
 m: mass
 v: volume
 We have then that for this problem the appropriate units are:
 For the mass m: grams
 For volume v: cubic centimeters.
 Therefore, the density unit will be:
 D [g / cm ^ 3]
 Answer:
 D [g / cm ^ 3]

Answer:

grams per mm

Step-by-step explanation:

Which of the following is an example of independent events?
A) Selecting a bead from a bag of 9 different colored beads and then selecting a second bead without putting the first back.
B) Spinning a 3 on a spinner and getting a head from a coin toss.
C) Drawing a king from a standard deck of cards and then drawing an 8 without replacing the king.
D )Four people are drawn successively without replacement from a group of 30 to represent the group.

Answers

The correct answer is Choice B because each of these events are separate items.  Each of the others choices will have a part of the additional events that are affected by the first event.  When the first event happens in each of these options, the second event's probability is affected by the first outcome.  The number of total outcomes changes because of the first event in all choices, except for choice B.

The fish population in a lake decreases by 20% each year. What is the common ratio?

Answers

the answer to this problem is 0.98

Which point is on the line that passes through (0,6) and is parallel to the given line

Answers

What is the given line?

Anyways, take the slope of the given line. Since I don’t know what it is, let’s say it’s one.

Create an equation for the new line. Y=1x+b

We know that the line must go through (0,6). Plug in that. 6=0+b
B=6

Now plug b in to get your equation. y=x+6

This will change based on what your slope is

Points depends on the value of slope for the parallel line y = m₁ x + 6.

What are parallel lines?

" Parallel lines defined as two different lines lie in the same plane and never intersect with each other in that plane. Distance between parallel lines remain constant."

According to the question,

Let y = m₁ x + d be the given line.

Slope of parallel lines are equal and line passes through (0, 6)

Therefore,

  6 = m₁ (0) + d

⇒ 6 = d

Required line parallel to the given line is

y = m₁ x + 6

 

Hence, points depends on the value of slope for the parallel line

y = m₁ x + 6.

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Expand the logarithmic expression. I will award brainliest.

Answers

[tex]\bf \textit{logarithm of factors}\\\\ log_a(xy)\implies log_a(x)+log_a(y) \\\\\\ \textit{Logarithm of rationals}\\\\ log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y) \\\\\\ \textit{Logarithm of exponentials}\\\\ log_a\left( x^ b \right)\implies b\cdot log_a(x)\\\\ -------------------------------\\\\ log_3\left( \cfrac{2r^5}{y^8} \right)\implies log_3(2r^5)-log(y^8) \\\\\\ \boxed{log_3(2)+log_3(r^5)}-log_3(y^8)\implies log_3(2)+5log_3(r)-8log_3(y)[/tex]

if x-15=7-5(x-4) then x=?
0
5
4
2
7

Answers

Distribute parenthesis. -5x and 20. Add 5x to x and you get 6x. 20+7=27 27+15=42. 42÷6=7. The answers 7.

21x^3 - 2x^2 + 20x +11 / 7x+4

Answers

The first thing you must do in this case is to perform the polynomial division taking into account properties of exponents.
 We see that the division in this case is inaccurate.
 In non-integer (or inaccurate) divisions, the dividend D (x) is not a multiple of the divisor d (x), and the fundamental property of the division will always be fulfilled:
 D (x) = d (x) * c (x) + R (x)
 Answer:
 See attached image for the solution.

A number has the digits 9 and 7. To the nearest 10, the number rounds to 100. what is the number?

Answers

The two combinations of two-digit numbers we could have would be 79 and 97.  The only one of those that would round to 100 is 97.  If we added another digit to the number, it would be over 100.  The very smallest three digit number we could have with these two numbers in it would be 179; that would not round to 100.  That means 97 must be our number.

Answer:

97

Step-by-step explanation:

The digits formed by 9 and 7 (without repetition) are 79 and 97. In rounding off a number to the nearest tens, the number in the unit position is considered.

If that number is less than 5, it is changed to 0. However, where the number is above 5, 1 is added to the number in the tens place with the number in the unit place changed to 0.

Going by the above explanation, 79 rounds off to 80 while 97 rounds off to 100.

PLEASE HELP NOW 1 QUESTION FOR 25 POINTS
Points C and D are equidistant from point A. Complete the following table to prove that AEC ≅ AED.

Answers

E is the midpoint of the line AD, therefore AE = DE (S)
E is the midpoint of the line BC, therefore EC = EB (S)
∠AEC = ∠DEB (Vertically opposite angles) (A)

by SAS,
ΔAEC ≡ΔDEB

A bakery supplier receives an order for 2 tons of flour from a bakery chain The flour is shipped in crates.Each crate holds eight 10- pound bags of flour. How many crates does the supplier need to ship to fulfill the order?

Answers

2 tons = 4,000 pounds
One Crate = (10•8) = 80lbs
4000/80 = 50

50 crates needed

Choose the correct product of (6x − 2)(6x + 2). (1 point)
Choose the correct product of (6x − 2)(6x + 2). (1 point)

Answers

You did not give any choices but this can easily be solved using the FOIL method. 

FOIL stands for First, Outside, Inside, Last. 

In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter 

First: Means first terms of each set. In this case 6x and 6x
6x x 6x = [tex] 36x^{2} [/tex] Now you have your first term in the sequence.

Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term

Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term

Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4  This is your last term

Now you have what you need for your new equation:

[tex] 36x^{2} + 12x -12x - 4 [/tex]

Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:

[tex]36 x^{2} - 4 [/tex] This is your product

If you can't see the images here

36x2 − 4

30 POINTS + BRAINLIEST!

Answers

180-43 = 137
Angle A = 137 degrees

The answer is measure of A is 137

Dan has already delivered 48 donuts today. For the next few hours, Dan will deliver 60 donuts per hour. Match the number of donuts Dan will have delivered after a given number of hours to the corresponding recursive function. Tiles number of donuts delivered 2 hours from now number of donuts delivered 7 hours from now number of donuts delivered n hours from now number of donuts delivered 6 hours from now Pairs next = now + 6 × 60, starting at 48 arrowBoth next = now + 60 + 60, starting at 48 arrowBoth next = now + 420, starting at 48 arrowBoth next = now + 60n, starting at 48 arrowBoth

Answers

A.number of donuts delivered 2 hours from now.
2. Next=now +60+60
starting at 48                      because 2 hours meant  2*60 = 60+60

B. number of donuts delivered 7 hours from now C
3.Next= now +420
starting at 48                     because 7 hours meant  7*60 = 420 mn

C.number of donuts delivered n hours from now.
4. Next=now+60n
starting at 48            (this is obvious)

so finally, 
 D. number of donuts delivered 6 hours from now.
1. Next= now+ 6*60
starting at 48                

Answer:

A.number of donuts delivered 2 hours from now.

2. Next=now +60+60

starting at 48                      because 2 hours meant  2*60 = 60+60

B. number of donuts delivered 7 hours from now C

3.Next= now +420

starting at 48                     because 7 hours meant  7*60 = 420 mn

C.number of donuts delivered n hours from now.

4. Next=now+60n

starting at 48            (this is obvious)

so finally,

D. number of donuts delivered 6 hours from now.

1. Next= now+ 6*60

starting at 48    

Step-by-step explanation:

The measurement of one angle of a right triangle is 34°.

What is the measurement of the third angle?

Enter your answer in the box.

Answers

The third angle is 56 degrees because it is a right triangle, so the three angles will add up to 180 degrees.  Since it is a right triangle, you know one angle is 90 degrees.  All you have to do is add 90 and 34, and then subtract that from 180 to get your third angle.

Final answer:

The third angle of the right triangle is calculated by subtracting the sum of the known right angle (90°) and the given angle (34°) from the total sum of angles in a triangle (180°), which equals 56°.

Explanation:

To find the measurement of the third angle in a right triangle where one of the angles is 34°, we use the fact that the sum of the angles in any triangle is 180°. Since one angle is 34° and another is by definition 90° in a right triangle, we can subtract these two angles from 180° to find the third angle:

Sum of angles in a triangle = 180°

Two known angles: 90° (right angle) + 34° = 124°

Third angle = 180° - 124° = 56°

Therefore, the measurement of the third angle is 56°.

The focus of a parabola is located at (4,0), and the directrix is located at x = –4.

Answers

The equation to the focus of a parabola is located at (4,0), and the directrix is located at x = –4...
y^2=16x

Hope this helps

Answer with explanation:

A parabola is the locus of all the points such that distance from a fixed point called focus to distance from a fixed line is always constant equal to 1.

Let locus of all the point be (p,q).

 [tex]\rightarrow \sqrt{(p-4)^2+(q-0)^2}=p+4\\\\ \rightarrow \text{Squaring both sides}\\\\\rightarrow p^2+16-8 p+q^2=p^2+8 p+16\\\\\rightarrow q^2=8 p+8 p\\\\\rightarrow q^2=16 p\\\\\rightarrow y^2=16 x[/tex]

Required equation of Parabola:

    y²=16 x

What are the first 35 digits of pi?

Answers

3.1415926535897932384624338327950288

Here are the first 3000 digits of pi.


3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481 117450284102701938521105559644622948954930381964428810975665933446128475648233 786783165271201909145648566923460348610454326648213393607260249141273724587006 606315588174881520920962829254091715364367892590360011330530548820466521384146 951941511609433057270365759591953092186117381932611793105118548074462379962749 567351885752724891227938183011949129833673362440656643086021394946395224737190 702179860943702770539217176293176752384674818467669405132000568127145263560827 785771342757789609173637178721468440901224953430146549585371050792279689258923 542019956112129021960864034418159813629774771309960518707211349999998372978049 951059731732816096318595024459455346908302642522308253344685035261931188171010 003137838752886587533208381420617177669147303598253490428755468731159562863882 353787593751957781857780532171226806613001927876611195909216420198938095257201 065485863278865936153381827968230301952035301852968995773622599413891249721775 283479131515574857242454150695950829533116861727855889075098381754637464939319 255060400927701671139009848824012858361603563707660104710181942955596198946767 837449448255379774726847104047534646208046684259069491293313677028989152104752 162056966024058038150193511253382430035587640247496473263914199272604269922796 782354781636009341721641219924586315030286182974555706749838505494588586926995 690927210797509302955321165344987202755960236480665499119881834797753566369807 426542527862551818417574672890977772793800081647060016145249192173217214772350 141441973568548161361157352552133475741849468438523323907394143334547762416862 518983569485562099219222184272550254256887671790494601653466804988627232791786 085784383827967976681454100953883786360950680064225125205117392984896084128488 62694560424196528502221066118630674427862203919494504712


Estimate the percent of decrease.

Original population: 1,503
New population: 1,356

a. 1%
b. 10%
c. 13.5%
d. 15%

Answers

b is the answer because 1356/1506= 90% so your answer is what's missing 10%

Answer:

Percentage in decrease = 10 %

Step-by-step explanation:

Given  : Original population: 1,503  and New population: 1,356.

To find : Estimate the percent of decrease.

Solution : We have given

Original population: 1,503

New population: 1,356.

Value decrease = original population - new population.

Decrease = 1,503    - 1,356

Decrease population =  147

Percentage in decrease = [tex]\frac{decrease\ value}{original}*100[/tex].

Percentage in decrease = [tex]\frac{147}{1503}*100[/tex].

Percentage in decrease = [tex]\frac{14700}{1503}[/tex].

Percentage in decrease = 9.78 %

Estimate = 10 %.

Therefore,

Percentage in decrease = 10 %

One canned juice drink is 2020​% orange​ juice; another is 1010​% orange juice. how many liters of each should be mixed together in order to get 1010l that is 1212​% orange​ juice?

Answers

Let x represent the number of liters of 20% juice required.
.. 20%*x +10%*(10 -x) = 12%*10
.. 10x +100 = 120 . . . . . multiply by 100, eliminate parentheses
.. 10x = 20 . . . . . . . . . . subtract 100
.. x = 2

2 liters of 20% juice should be added to 8 liters of 10% juice to make 10 liters of 12% juice.
Other Questions
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