3 years ago

J

Mathematics

1 answer:

Kobotan [32]3 years ago

8 0

He needs 5 1/4 more cups of batter.

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2 m3 of soil containing 35% sand was mixed into 6 m3 of soil containing 15% sand. what is the sand content of the mixture?

jekas [21]

Answer is: 1.6 m3 of sand

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3 years ago

Ian has 12.2 ounce bottle of ketchip. He uses 1/20 of the ketchup every time he has a buffalo burger How many ounces of ketchup

tatiyna

If Ian uses 1/20 of the ketchup 4 times, this is equal to 4/20, or $\frac{4}{20}$ .

$\frac{4}{20}$ can be simplified to $\frac{1}{5}$ , which means we need to work out $\frac{1}{5}$ of 12.2

$\frac{1}{5}$ is equivalent to 20%, which as a decimal is 0.2

0.2 x 12.2 = 2.44 - however, this is how much he has used, and we need to figure out how much is left.

12.2 - 2.44 = 9.76

So, Ian has 9.76 oz remaining :)

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3 years ago

Marshall invest $4500 into an account bearing 6% interest compounded semiannually. How much interest will be added into this acc

Sphinxa [80]

Answer:

$1547.62

Step-by-step explanation:

The principal Marshall invested is $4500.

The rate of interest is 6%

The compound interest formula is

$A=P(1+r)^n$

We substitute P=4500,r=0.06 and t=5 to obtain:

$A=4500(1+ \frac{0.06}{2} )^ {2 \times 5}$

We simplify to get:

$A=4500(1+ 0.03)^ {10} = 4500 \times {1.03}^{10}$

This gives us:

$A=6047.62$

The interest after 5 years is

$6047.62 - 4500 = 1547.62$

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3 years ago

f(x) = 500(1.05)x What was the average rate of change of the value of Sophia's investment from the second year to the fourth yea

hjlf

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)=500(1.05)^x \qquad 
\begin{cases}
x_1=2\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(2)}{4-2}
\\\\\\
\cfrac{[500(1.05)^4]~-~[500(1.05)^2]}{4-2}\implies \cfrac{56.503125}{2}\implies 28.2515625$

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4 years ago

What is chlorophyll<br><br>here is my pic

Mrrafil [7]

Step-by-step explanation:

Chlorophyll is the substance that gives plants their green color.
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3 years ago