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2 years ago

Donna bought 16

Mathematics

1 answer:

larisa [96]2 years ago

8 0

14 is the answer I believe

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Saul made some extra money last year from a part-time job. He invested part of the money at 2% with four times as much invested

omeli [17]

Answer:

$4000

Step-by-step explanation:

Given that :

Total interest earned = $150

Let amount invested (p) at 2% = x

Amount invested (p) at 3.25% = 4x

Interest = principal * rate * time

At 2%:

(x * 0.02 * 1 ) + (4x * 0.0325 * 1) = 150

0.02x + 0.13x = 150

0.15x = 150

x = 150 / 0.15

x = 1000

Hence,

Amount invested at 2% = x = 1000

Amount invested at 3.25% = 4x = 4(1000) = 4000

6 0

3 years ago

Need help with 2 and 3 ASAP PLEASE SHOW WORK it’s due soon please

Deffense [45]

Answer:

The volume of the cone is 25.13, the other one is 167.55

Step-by-step explanation:

v = 1/3pi(2)^2(6)

simplify and divide the above.

v = 25.13

1/3pi(4)^2(10)

= 167.55

4 0

3 years ago

What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following

skelet666 [1.2K]

For this case we have the following expression:

$x ^ 2-4x + 10 = 4x + 10$

We follow the steps below:

We subtract 4x on both sides of the equation:

$x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10$

We subtract 10 from both sides of the equation:

$x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0$

Now, we must complete squares.

When we have an equation of the form:

$ax ^ 2 + bx + c = 0$ , if we want to complete squares we must subtract c on both sides of the equation obtaining:

$ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c$

The square is completed by adding to both sides of the equation: $(\frac{b}{2})^{2}$

So, we have left:

$ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}$

In the given expression we have:

$a = 1\\b = -8\\c = 0$

And to complete the square we have:

$(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16$

Rewriting we have:

$x ^ 2-8x + 16 = 16$

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

$-4-4 = -8\\-4 * -4 = 16$

So, we have:

$(x-4) (x-4) = 16\\(x-4) ^ 2 = 16$

Answer:

The intermediate step is to complete squares

$(x-4) ^ 2 = 16$

7 0

3 years ago

Sketch the graph of each line: 6y-y=1

jeyben [28]

Go to this website called papa math it will help you with graphs

8 0

3 years ago

Which net represents this box?

timofeeve [1]

Answer:

image

Step-by-step explanation:

4 0

3 years ago