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julia-pushkina [17]
3 years ago
12

A series of steps designed to help you solve problems and answer questions

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Answer: B Scientific Method

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P=$4000.00,A=$5300.00,t=5 years
defon

Answer:

The rate of Simple Interest is 6.5 %  

Step-by-step explanation:

Given as :

Principal = $ 4000.00

Amount = $ 5300.00

The time period of loan = 5 years

Let The rate of simple interest = R

Now,

From Simple Interest method

Simple Interest = \frac{Principal\times Rate\times Time}{100}

 And , Simple Interest = Amount - Principal

  So ,  Simple Interest = $ 5300.00 - $ 4000.00

  Or,   Simple Interest = $ 1300

Now, Simple Interest = \frac{Principal\times Rate\times Time}{100}  

So,     $ 1300  = \frac{ 4000\times Rate\times 5}{100}  

Or,     $ 1300 × 100 = $ 4000 × Rate × 5

Or,     Rate  =  \frac{1300\times 100}{4000\times 5}

Or,     Rate  = 6.5  

Hence The rate of Simple Interest is 6.5 %   Answer

3 0
3 years ago
Please help!! I have no idea!!
MAXImum [283]
If sinα=cosß  it means that ß=90-α.  This also means that α+ß=90 so we can say:

4k-22+6k-13=90

10k-35=90

10k=125

k=12.5°

...

The above identity comes up a lot, and is one worth committing to memory for sure.

sinα=cos(90-α) or vice versa cosα=sin(90-α)
4 0
3 years ago
From 1990 to 2000, the population of Florida increased by 2.13% per year. The population (in millions) in the year 1990 was 16 E
belka [17]

Answer:

19 million

Step-by-step explanation:

So generally whenever we express a exponential function, it's in the form: y=a(b)^x

where a=initial value aka when x=0

in this case, b can be expressed as: 1+r, where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213

This gives us the following equation: y=16(1.0213)^x

To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.

So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.

When x=1, we get: 1.0213(16), which can be expressed as a 2.13% increase from year 0

When x=2, we get: 1.0213(1.0213(16)), which can be expressed as a 2.13% increase from year 1

when x=3, we get: 1.0213(1.0213(1.0213(16))), which can be expressed as a 2.13% increase from year 2.

In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).

So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990

We get the following equation: y=16(1.0213)^7

Using a calculator this simplifies to approximately: 18.5436

Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million

4 0
2 years ago
J is the midpoint of KL. The coordinates of J are (-8,7) and the coordinates of K are (3,4) find the coordinates of L. (show wor
musickatia [10]
Assuming linear.
if k is at (3,4) and j is at (-8,7)
set. (y1,x1) and(y2,x2)

[(y2-y1),(x2-x1)]
[(-8-3),(7-4)]
distance from k to j is (-11,3)

now take coordinates of j and distance from. k->j and add them to get coordinate for L

[(-11+(-8)),(7+3)]= (-19,10)=L
7 0
3 years ago
Please help me with number ten and twelve
jasenka [17]

Answer: 93,\ 34^{\circ}

Step-by-step explanation:

Given

For figure (i) both triangles are congruent

\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15

\Rightarrow PQ=8x-27\\\Rightarrow PQ=93

For figure (ii)

Two triangles WXZ and WZY are congruent

\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}

5 0
2 years ago
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