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2 years ago

Use the compound interest formula A= P1+

Mathematics

1 answer:

USPshnik [31]2 years ago

7 0

Answer:

1,039.68

Step-by-step explanation:

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Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will

HACTEHA [7]

Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.

<u>Solution:</u>

Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,

$\Rightarrow0.5\text{ lbs }- 1.5\%$

$\Rightarrow x+0.5\text{ lbs }- 100\%$

On writing the proportion,

$\Rightarrow\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\\Rightarrow0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\\Rightarrow50=1.5x+0.75\\ \\\Rightarrow1.5x=50-0.75\\ \\\Rightarrow1.5x=49.25\\ \\\Rightarrow x=\dfrac{49.25}{1.5}\approx 32.833\ lbs$

To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of syrup is 33.333 lbs.

7 0

2 years ago

Mr. Trainer is building a bookcase. He has two wooden boards that are each 8 feet long. He needs to cut the wooden boards into p

love history [14]

Answer:

Step-by-step explanation:

Length of one of the boards = 8 feet

Converting to inches

$1\ \text{foot}=12\ \text{inches}\\\Rightarrow 8\ \text{feet}=8\times 12=96\ \text{inches}$

One cut is 16 inches

So, we divide the length of the board by 16

$\dfrac{96}{16}=6$

So, one board is cut into 6 pieces.

The other board is also 8 feet long.

So, the number of pieces the other board is cut into is also 6.

Hence, a total of $6+6=12$ pieces of each 16 inches long can be cut from the two boards.

8 0

2 years ago

|x|+5=18 a. 5 or -5 b.13 or -13 c.18 or -18 d.23 -23

dezoksy [38]

X+5=18
first get rid of the 5
so X+5-5=18-5
which makes X=13
if any questions please ask
$b. 13$

6 0

3 years ago

Who knows this? Help me please

Temka [501]

Answer:

1/8

Step-by-step explanation:

5 0

2 years ago

What are the solutions of the quadratic equation? 2 x^2 – 16 x + 32 = 0

White raven [17]

Answer:

X=4,4

Step-by-step explanation:

2 x^2 – 16 x + 32 = 0

2(x^2-8x+16)=0

X^2-(4+4)X+16=0

x^2-4x-4x+16=0

x(x-4)-4(x-4)=0

(x-4)(x-4)=0

X=4,4

So the solution is X=4,4

3 0

2 years ago