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stiv31 [10]
3 years ago
7

An individual borrowed​ $73,000 at an APR of 3​%, which will be paid off with monthly payments of​ $356 for 24 years. What is th

e payment amount?
Mathematics
1 answer:
hram777 [196]3 years ago
5 0

Answer:

$102,528

Step-by-step explanation:

The total amount paid mequivalent to the number of monthly payments times the number of months.

-Given the monthly payment is $356 and the loan term is 24 years, the total amount is calculated as:

=356\times 24\times 12\\\\=102,528

Hence, the total payment amount is $102,528

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Andrea has a goal of running at least 50 miles this month. She has already run 7 miles. How many miles does Andrea need to run e
Nuetrik [128]

Answer:

At least 1.72 miles per day.

Step-by-step explanation:

Given: Goal of running is at least 50 miles in a month.

           Andrea have already run 7 miles.

           Days left in the month is 25.

As given, Andrea have already run 7 miles.

∴ Andrea need to run this month= 50\ miles - 7\ miles= 43\ miles

Days remaining this month is 25.

Now, finding miles need to run each day to meet her goal.

Miles need to run each day= \frac{remaining\ miles}{remaining\ days}

⇒ Miles need to run each day= \frac{43}{25} = 1.72\ miles

∴ Andrea need to run at least 1.72 miles to meet her goal this month.

           

8 0
3 years ago
Vic is standing on the ground at a point directly south of the base of the CN Tower and can see the top when looking at an angle
Sindrei [870]

The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.

<h3>How can the distance between Vic and Dan be calculated?</h3>

Location of Vic relative to the tower = South

Vic's sight angle of elevation to the top of the tower = 61°

Dan's location with respect to the tower = West

Dan's angle of elevation in order to see the top of the tower = 72°

Height of the tower = 553.3m

tan( \theta) =  \frac{opposite}{adjacent}

tan( 61 ^{ \circ}) =  \frac{553.3}{ Vic' s\: distance \: to \: tower}

distance  =  \frac{553.3}{tan ( {61}^{ \circ} )}  = 306.7

  • Vic's distance from the tower ≈ 306.7 m

Similarly, we have;

Dan's distance  =  \frac{553.3}{tan ( {72}^{ \circ} )}  = 179.8

  • Dan's distance from the tower ≈ 179.8 m

Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan <em>d </em>is found as follows;

  • d = √(306.7² + 179.8²) ≈ 356

Therefore;

  • Vic is approximately 356 meters from Dan

Learn more about Pythagorean theorem here:

brainly.com/question/343682

#SPJ1

4 0
1 year ago
Odd numbers 3 and 19
Lana71 [14]
Yes those are odd numbers
5 0
3 years ago
Read 2 more answers
Find the area of the following shape
blsea [12.9K]

Answer:

56.8 m²

Step-by-step explanation:

This shape is clearly a trapezium / trapezoid. So :  

Area of a trapezium is given by the formula :

\frac{a+b}{2} h

Substitute values given in diagram :

a = 4.2

b = 10

h = 8

(\frac{4.2+10}{2} )8

7.1 × 8 = 56.8

Units will be m² as this is area

Giving us our final answer of 56.8 m²

8 0
2 years ago
Rueben has scores of 70, 75, 83, 80 on four Spanish quizzes. What score must he get? on the next quiz to achieve a quiz average
igomit [66]

Answer:

92

Step-by-step explanation:

let 'q' = score on last quiz

 <u> 70 + 75 + 83 + 80 + q </u>  ≥  80

                   5

cross-multiply:

308 + q ≥ 5(80)

308 + q ≥ 400

q ≥ 92

5 0
3 years ago
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