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Fudgin [204]
2 years ago
8

Gabe and Eugenia bought a house! Their loan is for $117,000 , for 15 years at an annual interest rate of 4% . This results in a

monthly payment of $865.43 . If only the minimum payment is made in month one, how much of the first payment goes toward reducing her balance? First, let's find the amount of interest she paid in month 1
Mathematics
1 answer:
cupoosta [38]2 years ago
4 0

Answer:

Principal element is $475.43

Interest payment is $390

Step-by-step explanation:

The amount of interest paid in month one is 4%*$117,000*1/12=$390

The interest is calculated based on the annual interest rate of 4% apportioned to reflect one month interest by multiplying by 1/12

The principal element of monthly payment is the monthly payment minus interest.

principal paid in month one=$865.43-$390=$475.43

Ultimately,$475.43 goes toward reducing her loan balance while the $390 is interest on loan

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A truck travels 500 miles at an average speed of 60 miles per hour on a return trip on the same route and travels at an average
marta [7]

The return trip took 1 hour 42 minutes longer

Further explanation:

The distance will remain same on return.

The formula for speed is given by:

Speed=\frac{Distance}{Time}

Let d be the distance

s1 be the speed while going and s2 be the speed while returning

and

t1 be the time while going and t2 be the time while returning

d=500 miles

s1=60 miles per hour

s2=50 miles per hour

We have to calculate time for both trips,

So,

<u>Time while Going:</u>

<u>s_1=\frac{d}{t_1}\\t_1=\frac{d}{s_1}</u>

<u>Putting the values of d and s1</u>

<u>t_1=\frac{500}{60}\\=8.3\ hours</u>

<u>Converting 8.3</u>

8 will be the hours,

for 0.3 hour

0.3*60=18 minutes

The first trip took 8 hours and 18 minutes.

<u>Time while returning:</u>

s_2=\frac{d}{t_2}\\t_2=\frac{d}{s_2}

Putting the values of d and s1

t_2=\frac{500}{50}\\=10\ hours

The difference of both times is: 1 hour 42 minutes

So,

The return trip took 1 hour 42 minutes longer

Keywords: Time, Distance, Speed

Learn more about movement at:

  • brainly.com/question/2367554
  • brainly.com/question/2670657

#LearnwithBrainly

8 0
2 years ago
Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?
maxonik [38]

ANSWER

2 \frac{1}{4}

EXPLANATION

We want to find the constant that must be added to

{x}^{2}  - 3x

to form a perfect square.

Comparing the given expression to

a{x}^{2}  + bx + c

we have

a=1 , b=-3 , and c=0.

We need to add

{( \frac{b}{2a} })^{2}

We substitute the values to get,

{( \frac{ - 3}{2(1)} })^{2}  =  \frac{9}{4}

We change this to mix numbers to get,

2 \frac{1}{4}

The last choice is correct.

4 0
2 years ago
Neal buys a board game. He pays for the board game and pays \$1.54$1.54dollar sign, 1, point, 54 in sales tax. The sales tax rat
Stella [2.4K]

Answer:

$1.46

Step-by-step explanation:

To find the original price of the game, write a proportion. $1.54 is the amount after a 5.5% tax rate. This means he paid 105.5% on the original price.

\frac{1.54}{y}=\frac{105.5}{100}

Find y by cross multiplying numerator and denominator of each fraction.

1.54(100) = 105.5y

154 = 105.5y

1.46 = y

3 0
2 years ago
Read 2 more answers
the sum of two odd numbers is 198 both of the numbers are multiples of 3 one of the numbers is 5 times the other which equation
Sidana [21]
198/6=33
33X5=165, 165 is 5 times of 33.
165+33=198 the sum of 2 odd number 165 & 33 is odd numbers.
33 & 165 is multiple of 3
6 0
2 years ago
A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month
artcher [175]
The formula is
Fv=p [(1+r)^(t)-1)÷r)
Fv ?
P 5000
R 0.075
T 6. June
Fv=5000 [(1+0.075)^(6)-1)÷0.075]
Fv=36220....answer

6 0
2 years ago
Read 2 more answers
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