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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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Stacey and Jeremy sent out 380 wedding invitations. They have received 127 responses. What does q represent in the equation 380
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Answer:

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4 0
3 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
almond37 [142]

Answer:

First angle = 30°

Second angle = 60°

Third angle = 90°

Step-by-step explanation:

x + y + z = 180

y + z = 5x

z = y + 30

then:

y + (y+30) = 5x

2y + 30 = 5x

x = (2y+30)/5

then:

x + y + z = 180

{(2y+30)/5} + y + y+30 = 180

{(2y+30)/5} + 2y + 30 = 180

{(2y+30)/5} = 180 - 30 - 2y

{(2y+30)/5} = 150 - 2y

2y+30 = 5(150-2y)

2y+30 = 5*150 + 5*-2y

2y+30 = 750 - 10y

2y + 10y = 750 - 30

12y = 720

y = 720/12

y = 60°

x = (2y+30)/5

x = (2*60 + 30)/5

x = (120+30)/5

x = 150/5

x = 30°

z = y + 30

z = 60 + 30

z = 90°

Check:

x + y + z = 180°

30° + 60° + 90° = 180°

7 0
3 years ago
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