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1 year ago

5

Hilda cuts a ribbon into2 equal pieces. Then she cuts 4 inches off one piece. That piece is now 5 inches long. What was the leng

th of the original ribbon?

2 answers:

Anna11 [10]1 year ago

5 0

Start from the end. 5+4*2. Which in turn equals 18 inches.

Charra [1.4K]1 year ago

4 0

The length was 9in long.
Hope this helps!

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Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the inte

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We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

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

$5\%=\frac{5}{100}=0.05$

When compounded annually, $n=1$ :

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$A=4500(1.6288946267774414)$

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When compounded quarterly, $n=4$ :

$A=4500(1+\frac{0.05}{4})^{4\cdot 10}$

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When compounded monthly, $n=12$ :

$A=4500(1+\frac{0.05}{12})^{12\cdot 10}$

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When compounded daily, $n=365$ :

$A=4500(1+\frac{0.05}{365})^{365\cdot 10}$

$A=4500(1.0001369863013699)^{3650}$

$A=4500(1.6486648137656943695)$

$A=7418.9916619456\approx 7419.00$

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

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2 years ago

A committee of 3 members is selected from a club made up of 9 junior members and 21 senior members. What is the expected number

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1 year ago

A barrel of crude oil contains about 5.61 cubic feet of oil. How many barrels of oil contained in 1 mile (5280 feet) of a pipeli

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1)volume of the pipeline

The pipeline is a cylinder, therefore;
Volume (cylinder)=πr²h
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Volume (pipeline)=π(0.25 ft)²(5280 ft)=330π ft³≈1036.73 ft³.

2) we calculate the number of barrel
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x----------------------------------330π ft³

x=(1 barrel*330π ft³) / 5.61 ft³=184.8 barrels

3) we calculate the price.

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184.8 barrels---------- x

x=(184.8 barrels * $100) / 1 barrel=$18,480

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