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xeze [42]
1 year ago
13

I really need help pleaseeee

Mathematics
1 answer:
raketka [301]1 year ago
4 0
12.92 I hope this helps
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A man invests his savings in two accounts ,one paying6% and the other paying 10% simple interest per year. He puts twice as much
AnnyKZ [126]

Answer: he invested $46062.5 at 6% and $23031.25 at 10%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 6% interest.

Let y represent the amount which he invested in the account paying 10% interest.

He puts twice as much in the lower-yielding account because it is less risky.. This means that

x = 2y

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 6% interest,

P = $x

T = 1 year

R = 6℅

I = (x × 6 × 1)/100 = 0.06x

Considering the account paying 10% interest,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

His annual interest is $7370dollars. it means that

0.06x + 0.2y = 7370 - - - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

0.06 × 2y + 0.2y = 7370

0.12y + 0.2y = 7370

0.32y = 7370

y = 7370/0.32

y = $23031.25

x = 2 × 23031.25

x = 46062.5

6 0
3 years ago
5 more than the quotient of a number and 8 is 42
Zepler [3.9K]

Answer:

<u>The number is 296.</u>

Step-by-step explanation:

Let's call "x" to the number we are looking for.

Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:

\frac{x}{8}+5=42. Let's solve the equation to find x.

1. Write the expression.

\frac{x}{8}+5=42

2. Substract 5 from both sides and simplify.

\frac{x}{8}+5-5=42-5\\\\\frac{x}{8}=37\\\\

3. Multiply 8 on both sides and simplify.

8*\frac{x}{8}=37*8\\\\x=296

<u>We have found our number, it's 296!</u>

3 0
2 years ago
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SELECT ALL THAT APPLY!!
ella [17]

Answer:

lines a and b

Step-by-step explanation:

A negative slope makes the line face leftward so that leaves a and b.

4 0
3 years ago
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Amaya used these steps to solve the equation 8x + 4 = 9 + 4 (2x-1). Which choice describes the meaning of her result, 4=5?
pogonyaev
She distributed the 4 to the 2x-1, giving her 9+ 8x -4. she subtracted 8x from both sides leaving her with 4=9-4 which is the same as 4=5
5 0
2 years ago
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Can someone please answer this, ill give you brainliest Would be very appreciated.
Svetllana [295]

Explanation:

f(x) = (x-4)(x+2)

1) For x-intercept, y will be 0

  • (x-4)(x+2) = 0
  • (x-4) =0, (x+2) = 0
  • x = 4, x = -2

<u />

<u>x-intercept</u>: (4, 0), (-2, 0)

2) For vertex: x = -b/2a where ax² + bx + c

<u>Quadratic function</u>:

  • (x-4)(x+2)
  • x² +2x-4x -8
  • x² -2x -8

<u>vertex</u>:

  • x = -(-2)/2(1)
  • x = 1

y: (x-4)(x+2) = (1-4)(1+2) = -9

ordered pair of vertex: (1, -9)

3) For y-intercept, x will be 0

  • (x-4)(x+2)
  • (0-4)(0+2)
  • -8

<u>y-intercept</u>: (0, -8)

8 0
2 years ago
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