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Genrish500 [490]
2 years ago
6

A company offering short term loans agrees to lend Nick $1,200. The amount (plus interest) is repayable in one year, and the int

erest rate is 12% per month. What is the total amount that must be repaid? Give your answer in dollars to the nearest dollar.
Mathematics
1 answer:
ella [17]2 years ago
8 0

Answer:

The total amount that must be repaid is $2,928.

Step-by-step explanation:

First, you need to know how much interest Nick will be paying every month.

Provided that he borrowed $1,200 with a 12% interest rate, then, you can calculate the interest rate per month by multiplying these numbers.

So, $1,200 × 12% (0.12) = $144 (interest per month)

In order to get the total amount of interest in one year, you can multiply $144 with 12 (12 months).

So, $144 per month × 12 months = $1,728 (the total amount of interest in 1 year)

In order to get the total amount to be repaid, then you have to add the amount which Nick loaned ($1,200) plus the total amount of interest in 1 year.

So, $1,200 + $1,728 = $2,928

The total amount that Nick needs to repay is $2,928.

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Find the exact value of cos A in simplest radical form?​
Mamont248 [21]

Answer:

cosA = 7/8

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

cosA = 14/16

cosA = 7/8

3 0
2 years ago
On sunday 1/16 people who visit were senior citizens, 3/16 were infants, 3/8 were children and 3/8 were adults, how many of each
mamaluj [8]

Answer:

Out of total people visited the zoo on Sunday , 6.25% was senior citizen ,  18.75% were infants , 35% were children and 35% were adult.

Step-by-step explanation:

let total number of people visited the group  = x

so number of senior citizens = x × 1/16 = x/16

Percentage of  senior citizens = (number of senior citizens ÷ total number of people visited the group) × 100

= (x/16 ÷ x)  × 100 = 100/16 = 6.25%

number of infants = 3/16 × x = 3x/16

Percentage of  infants =(number of infants  ÷ total number of people visited the group) × 100 = (3x/16 ÷ x)  × 100 = 300/16 = 18.75%

number of  children = 3/8 × x = 3x/8

Percentage of  children =(number of children ÷ total number of people visited the group) × 100 = (3x/8 ÷ x)  × 100 = 300/8 = 37.5%

number of  adults = 3/8 × x = 3x/8

Percentage of  adults =(number of adults ÷ total number of people visited the group) × 100 = (3x/8 ÷ x)  × 100 = 300/8 = 37.5%.

Hence we can conclude that Out of total people visited the zoo on Sunday , 6.25% was senior citizen ,  18.75% were infants , 35% were children and 35% were adult.






4 0
2 years ago
In a certain month, Oscar sells 6 cars more than Jackie. If together they sell 30 cars, how many cars did Jackie sell?
diamong [38]

Answer:

Jackie sold 12 cars.

Step-by-step explanation:

If we call the number of cars Oscar sold O, and the number of cars Jackie sold J, we can say the following:

O = J + 6

As Oscar sold 6 cars more than Jackie.

Together, they sold 30 cars.

O + J = 30

Since we know that:

O = J + 6

... we can put this into our previous equation.

O + J = 30

(J + 6) + J = 30

J + J + 6 = 30

2 * J + 6 = 30

Subtract 6 from both sides:

2 * J = 24

Divide both sides by 2:

J = 24 / 2

J = 12

Jackie sold 12 cars.

8 0
2 years ago
Read 2 more answers
In the following diagram \overline{DE} \parallel \overline{FG}
Gnesinka [82]

Answer:

<x = 31°

Step-by-step explanation:

m<BCA = m<GCJ (vertical angles)

m<BCA = 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC = 90°

m<BAC + m<ABC + m<BCA = 180° (sum of triangle)

m<BAC + 90° + 59° = 180° (Substitution)

m<BAC + 149° = 180°

m<BAC = 180° - 149°

m<BAC = 31°

<x = <BAC (vertical angles)

m<x = 31° (substitution)

7 0
2 years ago
Identify the equation of the circle that has its center at (10, 24) and passes through the origin.
marishachu [46]

Answer:

A )  The Equation of the circle (x−10)2+(y−24)2=676

Step-by-step explanation:

step1:-

The equation of the circle whose center is (a,b) and radius r is

(x-a)^{2} +(y-b)^{2} =r^{2}

(x-10)^{2}+(y-24)^{2}  =676

in this circle equation centre is (g,f) = (10,24)

and formula of radius of a circle is

r = \sqrt{g^{2}+f^{2} -c }

Step2:-

The Equation of the circle (x−10)^2+(y−24)^2=676

5 0
2 years ago
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