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saw5 [17]
3 years ago
13

Harry owes the bank money. To repay his debt, he paid \$150$150dollar sign, 150 back to the bank each month. After 101010 months

, his remaining debt was \$6900$6900dollar sign, 6900.
Mathematics
1 answer:
Sonja [21]3 years ago
7 0


$8,400
Explanation:
Amount repaid each month = $150
Number of Periods for which amount was paid = 10 months
Amount left after 10 months payment = $6900
The total amount paid = $150 × 10 = $1500
Amount left = $6900
Total debt amount:
(Total Amount left + total amount paid )
$(6900 + 1500)
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On a certain hot​ summer's day, 645 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for
VladimirAG [237]

Answer:

327 children and 318 adults

Step-by-step explanation:

The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:

x+y=645

1.75x+2.50y=1367.25

Move y to the other side in the first equation to isolate x and solve the system using substitution:

x=645-y

  1.75(645-y)+2.50y=1367.25

Distribute

1128.75-1.75y+2.50y=1367.25

         1128.75+0.75y=1367.25

Subtract 1128.75 from both sides

                        0.75y=238.5

Divide both sides by 0.75

                                y=318

x=645-y

x=645-318

x=327

327 children and 318 adults swam at the pool that day

4 0
2 years ago
The number 0.6064 represents the area under the standard normal curve below a particular z-score. What is the Z-score? Express t
Anastasy [175]
P(z < x) = 0.6064 - 0.5 = 0.1064

From the normal distribution table
P(z < 0.27) = 0.1064

Therefore the z-score is 0.27

I can't explain it very well for you, sorry. 
4 0
3 years ago
Read 2 more answers
¿Cuántos quilómetros recorrerá una locomotora en 5 horas, si marcha a una velocidad de 82 kilómetros
kicyunya [14]

Step-by-step explanation:

Datos;

una locomotora

recorre 5 horas

a una velocidad de 82 km/h

Se asume que la locomotora lleva un movimiento rectilíneo uniforme.

Su recorrido esta descrito por la siguiente ecuación de posición;

x = x₀+ v · t

x-x₀ = d = v · t

siendo;

d = distancia recorrida

v = 82 km/h

t = 5 horas

Sustituir:

d = (82)(5)

d = 410 km

82km/h * 5h= 410km

La locomotora recorrerá 410km

6 0
3 years ago
The product of a number and 10, increased by 1
Alexxandr [17]

Answer:

10x+1

Step-by-step explanation:

5 0
3 years ago
The profit, in dollars, of a small business can be modeled by the function P(x)=0.3x^2+7x-40, where c is the number of units sol
ra1l [238]

Answer:

The correct answer is 10 units.

Step-by-step explanation:

Profit function of a small business is given by P(x) = 0.3x^{2} + 7x - 40, where x is the number of units sold.

The small business intend to make a profit of $60.

To find out the number of units the business has to sell in order to have a profit of $60 is given by,

P(x) = 0.3x^{2} + 7x - 40 = 60

⇒ 0.3x^{2} + 7x - 100 = 0

⇒ 3x^{2} + 70x - 1000 = 0

⇒ x = -70 ± \sqrt{(70)^{2} + 12000} × \frac{1}{6}

⇒ x = -70 ± 130 × \frac{1}{6}

⇒ x = 10 or -\frac{200}{6}

Quantity sold cannot be negative giving us the value of x as 10 units.

6 0
3 years ago
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