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Harrizon [31]
3 years ago
11

Please help me with this geometry problem

Mathematics
1 answer:
Natalka [10]3 years ago
4 0
You're looking for the volume of the prism.  The dead giveaway there is that you're looking for "cubic" measurement.  Cubic measures are indicators that the volume is being determined, just like "square feet" or inches, etc indicates area is being determined.  The volume for this prism is found by multiplying the length times the width times the height.  In decimal form, 45×30×40=54,000.  But that is in cubic inches and we want cubic feet.  So we will use dimensional analysis to convert that.  Setting up the DA looks like this, keeping in mind that there are 12 cubic inches in 1 cubic foot:  54,000in^3* \frac{1ft*1ft*1ft}{12in*12in*12in}.  The label of cubic inches cancels out leaving us with cubic feet, and doing the division there gives us 54,000/(12*12*12) which is 31.25 cubic feet.
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Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. How interest will he have earned a
agasfer [191]

We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.

We will use compound interest formula to solve our given problem.

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

3.25\%=\frac{3.25}{100}=0.0325

A=6500(1+\frac{0.0325}{1})^{1\cdot 8}

A=6500(1+0.0325)^{8}

A=6500(1.0325)^{8}

A=6500(1.2915775352963673)

A=8395.253979

Now we will subtract principal amount from final amount to find amount of interest as:

\text{interest}=8395.253979-6500

\text{interest}=1895.253979\approx 1895.25

Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.

7 0
2 years ago
Write the denominator of the rational number257/500 in the form 2 m x 5 n , m and n are negative integers Hence write its decima
maw [93]

Answer:

0.514

Step-by-step Explantion:

Denominator = 500 = 2^2 * 5^3

257/500 = 257/2^2*5^3 = 2*257/2*2^2*5^3 = 514/2^3*5^3 = 514/(2*5)^3 = 514/10^3 = 0.514

6 0
3 years ago
Which property of multiplication or addition was used to rewrite 5(2−7) as (2−7)5 ?
Talja [164]
Associative property
3 0
2 years ago
Read 2 more answers
Please help me outtttttttttt
Evgen [1.6K]

Answer:

is correct

Step-by-step explanation:

1/12

3 0
2 years ago
How do i write a proof for this
babymother [125]
Since, the co-interior angles(55° and 125°) are supplementary(sum is 180), therefore the lines are parallel.
6 0
3 years ago
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