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densk [106]
2 years ago
8

What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = Start

Fraction 16 Over h squared minus 25 EndFraction?
h = eleven-thirds
h = 5
h = 7
h = twenty-one-halves
Mathematics
2 answers:
vlabodo [156]2 years ago
7 0

Answer:

h=7

Step-by-step explanation:

djyliett [7]2 years ago
4 0

Answer:

h=7

Step-by-step explanation:

We want to solve the equation:

\frac{1}{h-5}+\frac{2}{h+5}=\frac{16}{h^2-25}

We multiply through by the LCM: h^2-25=(h+5)(h-5)

(h^2-25*\frac{1}{h-5}+(h^2-25)*\frac{2}{h+5}=\frac{16}{h^2-25}   \times(h^2-25)

Simplify to get:

h+5+2(h-5)=16

We expand to get:

h+5+2h-10=16

h+2h=16+10-53h=21

h=7

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The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
2 years ago
Read 2 more answers
Question 1 a
Savatey [412]

Answer:

B) A one-sample t-test for population mean would be used.

Step-by-step explanation:

The complete question is shown in the image below.

The marketing executive is interested in comparing the mean number of sales of this year to that of previous year.

The marketing executive already has the value of mean from previous year and uses a sample to calculate the mean and standard deviation of sales for the current year.

Since, data is being collected for one sample only this limits us to chose between one sample test for mean. So now the possible options are one sample t-test for population mean and one sample t-test for population mean.

If we read the statement we can see that we have the value of sample mean and sample standard deviation. Value of population standard deviation is unknown. In cases where value of population standard deviation is not known and sample standard deviation is given, t-test is used.

Therefore, we can conclude that A one-sample t-test for population mean would be used.

5 0
2 years ago
Given right triangle ABC which of the following statements must be true? Check all that apply.
Pachacha [2.7K]

Answer:

Option A. <A and <B are complementary angles

Option D. Sin(C)=Cos(90\°-C)

Step-by-step explanation:

we know that

If ABC is a right triangle

then

------> by complementary angles

and

Sin(C)=Cos(A)

Cos(C)=Sin(A)

Remember that

A=90\°-C

so

Sin(C)=Cos(90\°-C)

Cos(C)=Sin(90\°-C)

5 0
2 years ago
If f(x) =[x] −2 + 8, what is f(−1.8)? 4 6 10 12
Agata [3.3K]
F(x) = [x] - 2 + 8
[x] is the notation for 'greatest integer function'
f(-1.8) = [-1.8] - 2 + 8 = -2 -2 + 8 = 4
The answer is 4
8 0
2 years ago
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Newton’s law of cooling states that for a cooling substance with initial temperature T0 , the temperature T(t) after t minutes c
daser333 [38]
T(t) = Ts + (T₀ - Ts)exp(-kt), substituting the values:
60 = 50 + (80 - 50)exp(-25k)
10/30 = exp(-25k)
k = 0.0439 °C/min
4 0
1 year ago
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