MATHEMATICS HIGH SCHOOL

On August 8, 1981, American Savings offered an insured tax-free account paying 23.24% compounded monthly. If you had invested $90,000 at that time, how much would you have on August 8, 2014, assuming that you could have locked the interest rate at the time of deposit? Someone please help me!!

Answers

Answer 1

Answer:

$181,432,754

Step-by-step explanation:

We use the formula for compound interest here, to determine the amount

Mathematically, that would be;

A =I (1 + r/n)^nt

where A is the amount which we want to calculate

I is the initial amount which is $90,000

r is the rate = 23.24% = 23.24/100 = 0.2324

n is the number of times per year the interest is compounded = 12 (compounded monthly)

t is the number of years = 2014 - 1981 = 33

Substituting these values, we have;

A = 90,000(1 + 0.2324/12)^(33 * 12)

A = 90,000(1 + 0.0194)^396

A = 90,000(1.0194)^396

A = 181,432,754.27210504

Which is approximately $181,432,754 to the nearest whole dollars

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Answers

Answer:

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Step-by-step explanation:

During harvesting season at Florida Blue Farms, hand pickerscollect about 200 pounds of blueberries per day with a 95%
pack-out rate. The blueberry harvester machine collects about
22,000 pounds of blueberries per day with a 90% pack-out rate.
The pack-out rate is the percentage of collected blueberries
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Let h represent the number of days the hand pickers work and
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Answers

The farm uses two harvesting tools for packages that needs to be sold. So, we have to consider the rates of both harvest tools and the number of harvest by both tools. The algebraic expression is: $0.95(200h) + 0.90(22000m)$

Given that

$h \to$ days of hand pickers word

$m \to$ days harvester machine is used

$n_h = 200$ --- pounds of hand pickers

$n_m = 22000$ -- pounds of harvester

$r_h = 95\%$ -- pack out rate of hand pickers

$r_m = 90\%$ -- pack out rate of harvester

The expression to estimate the amount is calculated as:

$Amount = r_h * n_h + r_m * n_m$ --- i.e. pounds of hand picker * its pack out rate + pounds of harvester * its pack out rate

So, we have:

$Amount = 95\% * 200h + 90\% * 22000m$

Express as decimal

$Amount = 0.95 * 200h + 0.90 * 22000m$

Rewrite as:

$Amount = 0.95(200h) + 0.90(22000m)$

Hence, option (b) is correct.

Read more about algebraic expression at:

brainly.com/question/953809

Step-by-step explanation:

its b..........

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Answers

$The\ cone\ that\ has\ the\ same\ base\ and\ height\ as\ the\ cylinder\nstates\ (1)/(3)\ of\ the\ cylinder.\n\nThe\ probality\ of\ choosing\ a\ point\ inside\ a\ cylinder\ not\ inside\nthe\ cone\ is\ equal\ to\ (2)/(3).$

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Answers

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