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victus00 [196]
3 years ago
11

A six foot man casts a 14 foot shadow. how long is the shadow of a 40 foot tree?

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer:

x = 93 1/3 ft  shadow of the tree

Step-by-step explanation:

We can solve this by using proportions.  We will put the height of the object over the shadow

6ft  man          40 ft tree

------------      =  ---------------

14 ft shadow      x ft shadow

Using cross products

6 * x = 14 * 40

Divide each side by 6

6x/6 = 14/6 * 40

x = 93.33333(repeating)

x = 93 1/3 ft

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99/100

Step-by-step explanation:

First of all recall that

a^n\cdot b^n =(ab)^n

Now we we will try to apply that formula for a=99/100 and b=100/99.

First rewrite (99/100)^{101}=(99/100)\times (99/100)^{100}

Now

(99/100)\times (99/100)^{100}\times (100/99)^{100}\\=(99/100)\times ((99/100)\times (100/99))^{100}\\=(99/100)\times 1^{100}\\=(99/100)\times 1\\=99/100

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Choose the number sentence that illustrates the distributive property of multiplication over addition.
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Answer:

3*(7 + 2) = 3*7 + 3*2

Option 3

Step-by-step explanation:

Distributive property of multiplication over addition:

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10 people can paint a building in 5 days. if each person painted as quickly as the others then how much of the building could 7
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The original price for a jacket was 124.95. It is on sale for 20% off. Witch of the following gives the best estimate of the sav
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Maria took out an unsubsidized Stafford loan of $6,925 to pay for college. She plans to graduate in 4 years. The loan had a dura
Finger [1]

Answer:

$144.70

Step-by-step explanation:

Calculation to determine how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization

First step is to determine the Interest only monthly repayments

Using this formula

I=Prt

where,

P=$6925

r=0.05/1

t=1

Let plug in the formula

I=6925*0.05/12

I= $28.854166666

Second step is to determine the amount she will owe after 4 years

Using this formula

S=P(1+r)n

Let plug in the formula

S=6925*(1+0.05/12)4*12

S=6925*(1+0.05/12)48

S=$8454.70

Third step is to determine the Interest part

Interest =8454.70 - 6925

Interest = $1529.70

Now let determine the how much greater will the amount of interest capitalized be

Interest capitalized=1529.70 - 1385.00

Interest capitalized =$144.70

Therefore how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization is $144.70

4 0
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