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RideAnS [48]
3 years ago
10

Ngoc invests a total of $11,000 in two accounts paying 5% and 7% simple interest, respectively. How much was invested in each ac

count if, after one year, the total interest was $620.00.
Mathematics
1 answer:
Rama09 [41]3 years ago
5 0

Answer:

At 5% amount invested = $7,500

At 7% amount invested = $3,500

Step-by-step explanation:

We shall create an equation for this.

Let the amount invested with 5 % interest = "x"

Then remaining amount = 11,000 - x, Since total amount invested = $11,000

(x \times 5%) + ((11,000-x) \times 7%) = $620

0.05 x + 770 - 0.07 x = 620

770 - 620 = 0.07 x - 0.05 x

150 = 0.02 x

\frac{150}{0.02} = x

$7,500 = x

Therefore, amount invested at 5% = $7,500

At 7% = $11,000 - $7,500 = $3,500

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3 years ago
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Andrew [12]
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2 years ago
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KonstantinChe [14]

Answer:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

x = 11 hours

Step-by-step explanation:

Let

Number of hours = x

Total cost = y

Total cost = fixed cost + variable cost

The equations are:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

solve the equation to find for how many hours the total cost of the services is equal.

Equate total cost of both services

20 + 4x = 9 + 5x

Collect like terms

20 - 9 = 5x - 4x

11 = x

x = 11 hours

Check:

Happy paws

y = 20 + 4x

= 20 + 4(11)

= 20 + 44

= 64

Woof watchers

y = 9 + 5x

= 9 + 5(11)

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6 0
3 years ago
Which BEST describes the construction of a triangle if given one side length of 10 cm and one right angle?
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harkovskaia [24]

Answer: Y = 2 ; 3 ; 4

Step-by-step explanation:

Given the rule : y=1/4x + 1

X = 4, 8, 12

When x = 4

y = 1/4(4) + 1

y = 1 + 1

y = 2

When x = 8

y = 1/4(8) + 1

y = 8/4 + 1

y = 2 + 1

y = 3

When x = 12

y = 1/4(12) + 1

y = 12/4 + 1

y = 3 + 1

y = 4

Therefore ;

X - - - 4 - - - 8 - - - 12

Y - - - 2 - - - 3 - - - 4

5 0
3 years ago
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