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iris [78.8K]
2 years ago
9

Tori invests $1,500 into the stock market which earns 9% per year. In 20 years, how much will Tori's investment be worth if inte

rest is compounded semiannually (twice a year)?​
Mathematics
1 answer:
kipiarov [429]2 years ago
4 0
\bold{ANSWER:}
$8725

\bold{EXPLANATIONS:}

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To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.
Yakvenalex [24]
<h3>To find the product of 42.12 and 10^3,  move the decimal point in 42.12 3 places to the right because 10^3 has 3 zeros</h3>

<em><u>Solution:</u></em>

Given that,

\text{ product of } 42.12 \text{ and } 10^3

Which means,

42.12 \times 10^3

Here, the exponent of 10 is positive ( which is 3)

When the exponent is positive, we have to move the decimal point to right

When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10

Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12

Therefore,

42.12 \times 10^3 = 42120

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3 years ago
L(t) models the length of each day (in minutes) in Manila, Philippines tt days after the spring equinox. Here, t is entered in r
SVETLANKA909090 [29]

Answer:

Given that:

L(t) = 52\sin(\frac{2 \pi t}{365})+728

where

L(t) represents the length of each day(in minutes) and t represents the number of days.

Substitute the value of L(t) = 750 minutes we get;

750= 52\sin(\frac{2 \pi t}{365})+728

Subtract 728 from both sides we get;

22= 52\sin(\frac{2 \pi t}{365})

Divide both sides by 52 we get;

0.42307692352= \sin(\frac{2 \pi t}{365})

or

\frac{2 \pi t}{365} = \sin^{-1} (0.42307692352)

Simplify:

\frac{2 \pi t}{365} =0.43683845

or

t = \frac{365 \times 0.43683854}{2 \times \pi} = \frac{365 \times 0.43683854}{2 \times 3.14}

Simplify:

t \approx 25 days

Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days

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3 years ago
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____ is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect inf
Tanya [424]

Answer:

Sampling is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect information about the entire set of subjects of interest to them.

Step-by-step explanation:

Sampling is done because you usually cannot gather data from the entire population. Even in relatively small populations, the data may be needed urgently, and including everyone in the population in your data collection may take too long.

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3 years ago
6(x+1)=24 solution to equation
Vladimir79 [104]
6(x+1)=24
6x+6=24
6x=24-6
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3 years ago
Whats the radius of d = 29 m
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Answer:

6? .................

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