You buy a house that costs $345,000. You put down a downpayment of 20%. You borrow the rest from the bank, who charges an annual interest rate of 4.6%. If you pay this back in 30 years, how much did the house cost you in total? A=p(1+rt) format

Answers

Answer 1

Answer:

Total cost of the house = $725,880

Step-by-step explanation:

This can be calculated as follows:

Down payment = $345,000 * 20% = $69,000

Amount borrowed = $345,000 * (100% - 20%) = $276,000

The total amount of loan repaid can be calculated using the following formula:

A = p(1  + rt) .................... (1)

Where;

A = Total amount of loan repaid = ?

p = Principal or amount borrowed = $276,000

r = annual interest rate = 4.6% = 0.046

t = number of years = 30

Substitute the values into equation (1), we have:

A = $276,000 * (1  + (0.046 * 30)) = $656,880

The total cost of the house can now be calculated as follows:

Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880


Related Questions

CAN SOMEONE PLEASE HELP ME???!!!

Answers

Answer:

D. The graph has a positive rate of change

Step-by-step explanation:

The graph's slope, or rate of change, is positive, which means that D is your answer.

A sandwich store chargers a $10 delivery fee, and $4.50 for each sandwich.

what is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches.

Formula (y=mx+b)

Answers

Answer:

$37

Step-by-step explanation:

Delivery fee- $10

each sandwich- $4.50

Sandwiches ordered- 6

4.50(6)+10=37

NEED HELP PLZ!!!!!!!!!!!!!

Answers

Answer:

1st Option is correct

Step-by-step explanation:

Just keep adding 150 to see the results

The extra data costs are $20.99 monthly but they're offering 20% off that. What will my monthly cost be with the 20% off?

Answers

Answer:

Discounted price= $16.792

Step-by-step explanation:

Giving the following information:

The extra data costs are $20.99 monthly, but they're offering 20% off that.

To calculate the discounted price, we need to use the following formula:

Discounted price= normal price*(1 - discount rate)

Discounted price= 20.99*0.8

Discounted price= $16.792

Write a parallel lines and perpendicular lines in the given figure .​

Answers

Answer:

parrallel lines : p and q, a and b,j and k | perpendicular lines : p and a, q and a, p and b, q and b

Step-by-step explanation:

Parallel lines are lines that can go on and on forever, and never meet !

Perpendicular lines are two lines meet at a 90° angle,, to form a right angle !


Help plsssss I will mark as brainlest if correct

Answers

Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.

See picture:

Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?​

Answers

Answer:

80m - (12+4) = x

Step-by-step explanation:

Hope this helps! I mean its self explanatory

Answer:

$38.75

Step-by-step explanation:

We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

Answers

Answer:

Options A, B, C and D

Step-by-step explanation:

This question is not complete; here is the complete question.

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

A. 24

B. 36

C. 180

D. 240

E. 1656

Cost of one candy = 69 cents  

Since, cost of 24 candies = Cost of one candy × Number of candies

                                          = 69 × 24

For partial product,

69 × 24 = (60 + 9)(20 + 4)

             = 60(20 + 4) + 9(20 + 4)

             = 60×20 + 60×4 + 9×20 + 9×4

             = 1200 + 240 + 180 + 36

             = 1656

Therefore, Options A, B, C and D are not possible partial products.

Refer to the diagram shown.

Answers

Answer:

60º

Step-by-step explanation:

yo I need help asap would really appreciate, solve photo attached please also pls tell me how you did it

Answers

Answer:

The average rate of change is 4.

Step-by-step explanation:

Average rate of change is simply a fancy way of saying "find the slope".  

So for slope, we use (y2-y1)/(x2-x1).

(3-(-13))/(2-(-2))

16/4

4

The points A, B and C have position vectors OA = 6,2, OB = 3,4 and OC = 12, -2 respectively.
Express the vector:
a) BA
b) BC​

Answers

Answer:(a) BA = (-3,2)   (b) BC = (-9,6)

Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2).                     (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).

What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?

Answers

Answer:

(-6,0.5)

Step-by-step explanation:

(-9 + -3)÷2= -6

(-4 + 5)÷2=0.5

(-6,0.5)

I need help again with this last problem.

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] |12| + | - 15| = [/tex]

[tex]12 - ( - 15) = [/tex]

[tex]12 + 15 = [/tex]

[tex]27[/tex]

Thus the correct answer is the last option .

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

[tex] \boxed {27}[/tex]

Step-by-step explanation:

All negative numbers in the absolute sign will become positive.

[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]

Therefore we evaluate | - 15 | = 15

[tex]12 + 15 = \red {27}[/tex]


Any point on the parabola can be labeled (x,y) as shown.

1. What are the distances from the point (x,y)(x,y) to the focus of the parabola and the directrix?
Select two answers.


distance to the focus: √(x+3)2+(y−3)2

distance to the directrix: |y−4|

distance to the directrix: |x−4|

distance to the focus: √(x−2)2+(y+3)2

distance to the focus: √(x+3)2+(y−2)2

distance to the directrix: |y+4|

2. What is the correct standard form of the equation of the parabola?

Answers

Answer:

Part A)

2nd and 5th choice.

Part B)

[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]

Step-by-step explanation:

For the given parabola, our focus is (-3, 2), and our directrix is given by y = 4.

Part A)

We are given a point (x, y) on the parabola.

Since our directrix is an equation of y, the distance from (x, y) to the directrix will simply be the absolute value of the difference in y-values. So:

[tex]d_1=|y-4|=|4-y|[/tex]

Recall the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Our distance from (x, y) to the focus (-3, 2) can be determined using the distance formula. Let (x, y) be (x₂, y₂) and let our focus (-3, 2) be (x₁, y₁). Therefore:

[tex]d_2=\sqrt{(x-(-3))^2+(y-2)^2}=\sqrt{(x+3)^2+(y-2)^2[/tex]

Hence, for Part A, our answers are the 2nd and 5th choices.

Part B)

Recall that by the definition of a parabola, any point (x, y) on it is equidistant to the directrix and focus. Hence:

[tex]\sqrt{(x+3)^2+(y-2)^2}=|y-4|[/tex]

Solve for y. Square both sides. We may remove the absolute value since anything squared is positive:

[tex](x+3)^2+(y-2)^2=(y-4)^2[/tex]

Square:

[tex]x^2+6x+9+y^2-4y+4=y^2-8y+16[/tex]

Rearrange:

[tex](x^2+6x+13)+(-16)=(y^2-y^2)+(-8y+4y)[/tex]

Combine like terms:

[tex]x^2+6x-3=-4y[/tex]

Divide both sides by -4. Hence, our equation is:

[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]

Heyo! :D

Distance to the directrix is |y - 4|.

Distance to the focus is [tex]\sqrt{(x+3)^2+(y-2)^2}[/tex].

Hope this helps! If so, please lmk! Tysm and good luck!

What does 6(4c-2) simplify as?
Help pleas

Answers

Step-by-step explanation:

[tex]\tt{ 6(4c-2) }[/tex]

[tex]\tt{ 24c-12 }[/tex]

Does anyone knows how to do Algerba II I really need helppp!!! Can someone please help me

Answers

Answer:

I know algebra ll

i can help :D

Step-by-step explanation:

What do you need help with? I am immigrant so I have problems with academic English, but I can send photos with solutions my math is good enough.

42 slices from 3 cakes = 84 slices from____ cakes

Answers

6 Cakes man 6 cakes 42*2 3*2

Answer:

42 slices from 3 cakes = 84 slices from 6 cakes

Step-by-step explanation:

Let the unknown value be x

[tex]42 = 3\\84 =x\\\\[/tex]

Cross Multiply

[tex]42\times x = 84\times 3\\\\42x = 252[/tex]

Divide both sides of the equation by 42

[tex]\frac{42x}{42} = \frac{252}{42} \\\\Simplify\\\\x =6[/tex]

To figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?

Answers

Answer:

86

Step-by-step explanation:

36 + 4 = 40 x 2 =80  

36 x 2 = 82 = 4 - 86

Hope it helps!

The special number was supposed to be; 76

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

For age 'a', the special number was

 2a +4

Tammi's mother actually calculated it as;

 2(a +4) = 2a +8

Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be;

80 -4 = 76.

Learn more about equations here;

https://brainly.com/question/25180086

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Help me!! ASAP!! Plss just help me :( I will give u BRAINLYEST!!

Come up with a real world situation that would involve finding the area of a circle.

Answers

Well, if I were to come up with a real world situation that would involve finding the area of a circle then I think that a good real world situation would be finding the area of a circular sandpit.

Brandon has a collection of 400 marbles. Of these marbles, 15% are red, 40% are blue, and the rest are purple. How many marbles in Brandon's collection are purple?

Answers

Answer:180

Step-by-step explanation:

Since 15% of 400=60 and 40%=160 the total of this combined is 220. 400-220=180 which is the amount of purple marbles

Here is a Floor plan of a house. What is the approximate area of the home, including the balcony? Explain/show your thinking.

Answers

Answer:

it is easy figure it out

Step-by-step explanation:

5 cm 2 cm 2 cm 5 cm What is the perimeter of the shape? ​

Answers

Answer:

14 cm

All you have to do is add the four sides up and you're good to go! :)

Answer:

The answer is 14

Step-by-step explanation:

perimeter - means to add . You add all the sides

area - means multiplication . You multiply the two numbers on the bottom so for an example is this was area the answer would've been (A-10)

A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. Is it independent or dependen?

Answers

The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.

What is probability ?

Probability of something is the occurrence of a certain event out of the total events that can occur.

According to the given question

The total no. of chocolates in the box is

(5 + 5+ 5) = 15 chocolates.

The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.

There are 5 milk chocolates.

So, probability of getting a milk chocolate first is

P(mc) = 5/15

= 1/3

Now the the chocolate can no be replaced because it is eaten

Probability of getting a dark chocolate second is

P(dc) = 5/14                          (as the total no. of chocolate is reduced by 1

                                                                    because it has been eaten)  

And the probability of getting a white chocolate in 3rd attempt is

P(wc) = 5/13

As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is

P(mc) ∩ P(dc) ∩ P(wc)

= P(mc) × P(dc) × P(wc)

= (1/3 × 5/14 × 5/13)

= 25/546.

Learn more about Probability here :

https://brainly.com/question/11234923

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A holiday decoration involves blue and white lights.The ratio of blue lights to white lights is 3 to 2 . The box the decoration came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.

Answers

Answer:

a. 76 b. 190

Step-by-step explanation:

a. Number of white lights

Since the ratio of blue lights to white lights is 3 to 2 and the number of blue lights is 114, it follows that 3 : 2 = 114 : x where x is the number of white lights.

So, 3/2 = 114/x

cross-multiplying,

3x = 114 × 2

3x = 228

x = 228/3

x = 76

b. Total number of lights

So, the total number of lights is thus number of blue lights + number of white lights = 114 + 76 = 190

ZHFJ is complementary with which other angle?
A349
Ав
56°
689
34° ]
124°
ZDEC
ZAEB
ZGFH
ZBEC

Answers

Answer:

BEC°

Step-by-step explanation:

complementary means "to add up to 90°"

90° - 34° = 56°

the Z confused me for a bit, then figured out you tried to type in the angle sign.

What is the answer of this q ❓​

Answers

Answer:

68

Step-by-step explanation:

lets mijdkdefbdhnrr

In a grid of an auditorium, the vertices of a section of seats are A(40, 20) , B(80, 20) , C(100, 70) , and D(40, 70) . The coordinates are measured in feet. Find the area of the section.

Answers

Answer:

[tex]Area = 2900[/tex]

Step-by-step explanation:

Given

[tex]A (x_1,y_1) = (40,20)[/tex]

[tex]B (x_2,y_2) = (80,20)[/tex]

[tex]C (x_3,y_3) = (100,70)[/tex]

[tex]D (x_4,y_4) = (40,70)[/tex]

Required

Determine the Area

The area of the section is:

[tex]Area = \frac{1}{2}|(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)|[/tex]

Substitute values for the x's and y's

[tex]Area = \frac{1}{2}|(40 * 20 + 80*70 + 100*70 + 40*40) - (20*80 + 20*100 + 70*40 + 70*40)|[/tex]

[tex]Area = \frac{1}{2}|15000 - 9200|[/tex]

[tex]Area = \frac{1}{2}|5800|[/tex]

[tex]Area = \frac{1}{2} * 5800[/tex]

[tex]Area = 2900[/tex]

Hence, the area of the section is 2900ft^2

I need help it really hard

Answers

Answer:

ΔPQR and ΔSTU are not similar.

Step-by-step explanation:

The two triangles look distinguishable from each other.

The triangles are not similar

How many 3 or 8 are in 5 over 4
Please help

Answers

Answer:

[tex]3 \frac{1}{3}[/tex]

Hope this helps.

Step-by-step explanation:

Answer #2: 3/8 divided by 5/4= 3/10

Find the x- and y-intercepts of 4x-9y=-12

Answers

X-int (-3,0)
Y-int (0,4/3)
The answer is shown below
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