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Yuliya22 [10]
2 years ago
12

Carlos invested part of $3,000 in a 10% certificate account and the rest in a 6% passbook account. The total annual interest fro

m both accounts is $270. How much did he invest at 6%?
Mathematics
1 answer:
xxMikexx [17]2 years ago
6 0
(3000-n)*(10/100)+n*(6/100) = 270
300 - 0.1n + 0.06n = 270
300 - (0.1n - 0.6n) = 270
300 - 0.04n = 270
-0.04n = -30
n = -30/-0.04 = 750
Investment at 6% = 750
Investment at 10% = 3000 - 750 = 2250
And to check just plug it back in so,
(0.06*750)+(0.1*2250) = 270
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Please help me asap! Could you please explain how you got the answer
svetoff [14.1K]

Answer:

B) 23

Step-by-step explanation:

Table:          <u>  Algebra | No algebra | Total</u>

Physics        |      4           Step 1: 8      12

No physics  |Step 2: 15

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We look for the number of people who are in algebra and no physics or physics and no algebra.

1. 12 - 4 = <em>8</em>

2. 19 - 4 = <em>15</em>

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7 0
2 years ago
The perimeter of a rectangle is 13cm and its width is 11/4. find its length.
enyata [817]
Perimeter = 2 length + 2 width

P = 2(l) + 2(11/4)

13 = 2l +2* \frac{11}{4}

13 = 2l + \frac{2}{1} * \frac{11}{4}

13 = 2l + \frac{22}{4}     (subtract 22/4 from each side)

13 -\frac{22}{4} = 2l

13 -\frac{11}{2} = 2l

\frac{26}{2}  -\frac{11}{2} = 2l

\frac{15}{2}} = 2l

7.5 = 2l    (divide each side by 2)

7.5 ÷ 2 = l

3.75 = l

The answer is 3.75 or 3 \frac{3}{4}


6 0
2 years ago
Machines A and B always operate independently and at their respective constant rates. When working alone, Machine A can fill a p
pychu [463]

Answer:

The value of x is \frac{10}{3} hours.

Step-by-step explanation:

Machine A = 5 hours

Machine B = x hours

Machine A and B = 2 hours

Using the formula: \frac{T}{A}  + \frac{T}{B} = 1

where:

T is the time spend by both machine

A is the time spend by machine A

B is the time spend by machine B

\frac{2}{5}  + \frac{2}{x}  = 1

Let multiply the entire problem by the common denominator (5B)

5x(\frac{2}{5}  + \frac{2}{x} = 1)

2x + 10 = 5x

Collect the like terms

10 = 5x - 2x

10 = 3x

3x = 10

Divide both side by the coefficient of x (3)

\frac{3x}{3}  = \frac{10}{3}

x = \frac{10}{3} hours.

Therefore, Machine B will fill the same lot in \frac{10}{3} hours.

7 0
2 years ago
Omar and Caleb each had a repair made on their cars. The initial cost of each repair is $1,000. Omar and Caleb each have two cou
scoundrel [369]

Answer:

854

Step-by-step explanation:

1000/15=66

1000-66-80=854

5 0
2 years ago
What is the solution to this system of equations? Y= 2x - 3.5 x - 2y = -14
goldfiish [28.3K]

Answer:

x=7

y=10.5


Step-by-step explanation:

1. You can apply the method of substitution, as you can see below:

- Substitute y=2x-3.5 into the other equation and solve fo x:

x-2(2x-3.5)=-14\\x-4x+7=-14\\x=7

- Substitute the value of x obtain into the first equation, then the value of y is:

y=2(7)-3.5\\y=10.5


6 0
2 years ago
Read 2 more answers
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