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Norma-Jean [14]
3 years ago
7

find the present value of an investment that is worth $19,513.75 after earning 3percent simple interest for 5.5 years

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0

Answer:

present value = $16750

Step-by-step explanation:

The simple interest formula allows us to calculate A, which is the final amount. According to this formula, the amount is given by A = P (1 + r*t), where P is the principal, r is the annual interest rate in decimal form, and t is the loan period expressed in years

simple interest formula:

t: time

P: present value

A: amount

r : anual interest

A = P (1 + r*t)

P = A / (1 + r*t)

P = 19,513.75 / (1 + 3/100 * 5.5)

P = 19,513.75/ (1 + 0.165)

P = 19,513.75 / 1.165

P = 16750

present value = $16750

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need help on these math questions... please either answer them or explain very simply how to answer them. Thanks.
kodGreya [7K]
You would use the pythagorean theorem. a² +b² =c²

side² +side² = hypotenuse²

So for 1) 8² + 15² = c²
64+225=c²
289=c²
√c² = √289
c = 17

2. 7²+24² =c²
49+576= c²
c²=625
√c²= √625
c = 25

3. 5²+13²=c²
25+169=c²
c² = 194
√c² = √194
c = 13.93

4. 24² + 45² =c²
576 + 2025 =c²
c² = 2601
√c² = √2601
c = 51

5.
Plug each choice into the pythagorean theorem. a² +b² =c²

3²+4² = 5²
9+16= 25
25=25

6²+8²=10²
36+64=100
100=100

16²+63²=65²
256+3969=4225
4225=4225

8²+9²=10²
64+81=100
145=100 Since 145 does not equal 100 it is not a right triangle
3 0
3 years ago
In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every hour.
Evgesh-ka [11]

Answer:

a). 8100 bacteria

b). 519 bacteria

c). Infinite

Step-by-step explanation:

Population growth of a bacteria is given by the exponential function,

f(x) = P_{0}(1+\frac{r}{100})^{t}

Where f(x) = Population after time 't'

P_{0} = Initial population

r = Growth rate

t = Duration after t hours

If "100 bacteria gets tripled every hour"

300 = 100(1+\frac{r}{100})^{1}

3 = 1 + \frac{r}{100}

r = 100×(3 - 1)

r = 200

So the function is, f(x) = 100(3)^{t}

a). Population after 4 hours,

    f(4) = 100(3)^{4}

          = 8100 bacteria

b). Population after 90 minutes Or 1.5 hours

     f(1.5) = 100(3)^{1.5}

             = 519.61

             ≈ 519 bacteria

c). Population after 72 hours,

    f(72) = 100(3)^{72}

            = Infinite

4 0
3 years ago
HELP PLEASE!!!! A window is 4 feet wide and 8 feet tall. A rectangle is shown. The length of the rectangle is labeled 4 feet. Th
Bingel [31]
First, always draw. You learned to draw in kindergarben (Yes I spelled it like that on purpose LOL) for a reason.

1) Draw your rectangle on a piece of paper or paint. 
2) Scale factor each side to enlarge which means you're going to multiply. 
--- Note if it said 'to reduce' then you would divide.
3) Then find the area by multiplying the two given sides (12 x 6 = 72).
4) Don't forget your unit of measurement - 72ft²

So your answer is D.

3 0
3 years ago
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I need help please help
Vedmedyk [2.9K]

Answer:

m(x)=x^4-x^3+8x-1\\\\n(x)=|x+6|

Are not one-to-one functions

Step-by-step explanation:

As m(x) has symmetry at the line x=0, it is not one-to-one

As n(x) has symmetry at the line x=-6, it is not one-to-one

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3 years ago
Spenser bought 12 honeycrisp apples for $15.99 from the store. How much did each apple cost?
Debora [2.8K]

Answer:

$1.33

Step-by-step explanation:

3 0
3 years ago
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