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MaRussiya [10]
3 years ago
8

Harry took a loan from the bank.

Mathematics
1 answer:
Pie3 years ago
6 0

Answer:

The size of Harry's loan is $9000.

Step-by-step explanation:

D(t) models Harry's remaining debt, in dollars, as a function of time t, in months  that is given by :

D(t) =-200t+ 9000

We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.

Lets put t = 0, that shows no payments have been made.

This will get the amount of loan, before any payments.

D(t)=-200(0)+9000

So,D(t) =9000

Hence, the size of Harry's loan is $9000.

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Help me solve for the right triangle
AleksAgata [21]

Answers:

B = 50

a = 10.9

c = 17.0

================================================

Explanation:

This is a right triangle, so the acute angles are complementary, meaning they add to 90

B+40 = 90

B+40-40 = 90-40

B = 50

Also, because this is a right triangle, we can use trig ratios to compute the missing sides

tan(angle) = opposite/adjacent

tan(40) = a/13

a = 13*tan(40)

a = 10.908

a = 10.9

cos(angle) = adjacent/hypotenuse

cos(40) = 13/c

c*cos(40) = 13

c = 13/cos(40)

c = 17.0

note: make sure your calculator is in degree mode

7 0
3 years ago
2x+3=4 3x+y=solve by graphing and plz show work
ch4aika [34]

Answer:

2x+3=4

   -3  -3

2x=1

-------

 2

x=1/2

3 0
3 years ago
Read 2 more answers
Instructions: Find the following information using the given image.
NNADVOKAT [17]

Answer:

Hypotenuse: 100

Segment Adjacent to the leg: 36

x=60

Step-by-step explanation:

I submitted and it was correct

6 0
3 years ago
A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of funds' returns shows an averag
Feliz [49]

A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of 60 funds' returns shows an average rate of 12%. If the population standard deviation is assumed to be 4%, the 95% confidence interval estimate for the annual return on all mutual funds is

A. 0.037773 to 0.202227

B. 3.7773% to 20.2227%

C. 59.98786% to 61.01214%

D. 51.7773% to 68.2227%

E. 10.988% to 13.012%

Answer: E. 10.988% to 13.012%

Step-by-step explanation:

Given;

Mean x= 12%

Standard deviation r = 4%

Number of samples tested n = 60

Confidence interval is 95%

Z' = t(0.025)= 1.96

Confidence interval = x +/- Z'(r/√n)

= 12% +/- 1.96(4%/√60)

= 12% +/- 0.01214%

Confidence interval= (10.988% to 13.012%)

3 0
3 years ago
8x-5y=15 <br>6x+4y=43<br>solve the system by any method​
Sedbober [7]

Answer:

x=\frac{275}{62} , y=\frac{127}{31}

Step-by-step explanation:

<h3>I will use the elimination method.</h3>

We want to make the X's the same:

24x-15y=45

24x+16y=172

Because the signs of the X's are the same we subtract the 2 equations to make:

(I put the second one on top of the 1st)

31y=127

So:

y=\frac{127}{31}

Substitute y into either equation 1 or 2:

(I chose equation 1)

8x-5(\frac{127}{31})=15

8x=5(\frac{127}{31}) + 15

x=\frac{5(\frac{127}{31})}{8}

So:

x=\frac{275}{62}

5 0
3 years ago
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